Aaron Koller Reassessing Baumgarten’s Contribution to Aesthetics1 DRAFT – Feb. 9, 2009 Although Alexander Baumgarten is known as the philosopher who coined the term “aesthetics,” allegedly naming a new science,2 great controversy surrounds the significance of his invention. Commentators widely agree that Baumgarten intended his aesthetics to encompass a realm beyond what is accessible to reason alone, and they also agree that the significance of his innovation depends on the success of that supposed endeavor. Those commentators who argue that Baumgarten made his aesthetics at least partly independent of reason (Baeumler, Gross, Guyer, Schweizer) have a generally favorable view of the project, while those who think Baumgarten failed to escape rationalism (Cassirer, Croce) consider Baumgarten’s project a failure, if not an outright self-contradiction (Wessell).3 The rationalism from which Baumgarten’s aesthetics either did or not did break was that of Christian Wolff, the famous systemizer of a Leibnizian philosophy and Baumgarten’s predecessor at the Univerity of Halle. Wolff’s concept of beauty, explained in his Psychologia Empirica and applied in his Elementae Architecturae Civilis, is widely seen as an exemplar of rationalism gone awry. It is thought to be purely intellectual, abstract, and devoid of feeling, and so it is no surprise that Baumgarten would have had to reject it totally in order to say anything 1 I wish to thank Fred Beiser for providing guidance toward sources and central issues, as well as for his comments on earlier drafts of this paper, and Kara Richardson for her comments and help with a few difficult Latin passages. 2 Med. §116, Aes. §1. 3 Gregor is harder to pin down, because she insists that Baumgarten worked within the rationalist tradition (“Baumgarten’s Aesthetica” in Review of Metaphysics No. 37 (Dec. 1983), pp. 364,375) but at the same time attributes certain views to him which I believe to be inimical to rationalism, as I argue below. I am in full agreement with her pronouncement that “There is nothing particularly original in [Baumgarten’s] metaphysics, with its definition of beauty, or in his notion of a science of sense cognition… All this was commonplace in the tradition of Wolff and Leibniz” (p. 382). However, this paper aims to provide a different and much more precise account of Baumgarten’s relation to Wolff on aesthetic matters. Koller - 1 significant about beauty.4 In this paper, I argue against these assumptions. The aesthetics of Wolffian rationalism is not hopelessly abstract and lifeless, and Baumgarten did not fundamentally reject it. He nonetheless managed to innovate significantly from within the Wolffian system. Both Baumgarten and Wolff understood beauty in terms of concepts borrowed from their metaphysics and psychology—especially the concepts of perfection and sense cognition.5 As a result, much of the debate about whether Baumgarten broke with rationalism in his aesthetics turns on whether he added something non-rational or super-rational into these broader concepts. I take up these issues – first metaphysical, then psychological or cognitive – in the first two parts of this paper. I argue that Baumgarten was much less innovative in these general views than his sympathetic readers tend to suppose, but also that they are not as damnable as others believe. In the two subsequent sections, I address the metaphysics and cognition of beauty more specifically. It is here, I argue, that Baumgarten made his important and even revolutionary contributions to aesthetics from within the general Wolffian framework. Part I – Agreement about the metaphysical background: individuality and perfection Section 1: Individuality. One of the most pervasive reasons given for Baumgarten’s supposed independence from Wolff is the claim that Baumgarten’s aesthetics made a place for the individual object as such, while Wolff’s theory remained mired in empty abstractions.6 4 For clear expressions of this sentiment on both sides of the debate about Baumgarten, see Alfred Baeumler, Kants Kritik der Urteilskraft, ihre Geschichte und Systematik. Halle: M. Niemeyer, 1923, pp. 204-206; Ernst Cassirer, Freiheit und Form. Darmstadt: Wissenschaftliche Buchgesellschaft, 1961, p. 124; and Benedetto Croce, Aesthetic as science of expression and general linguistic tr. Douglas Ainslie. London: MacMillan and Co., 1922, pp. 214-215. 5 According to Baumgarten, the rationalists’ metaphysical “psychology affords sound principles” to aesthetics (Med. §115). Although contemporary aesthetics makes use of analytical tools and theories from metaphysics and philosophy of mind in order to investigate issues in aesthetics, it does not derive an aesthetics from these concepts, as Wolff and Baumgarten attempted. 6 Baeumler, pp. 204-206. Koller - 2 Baeumler, for example, claims that for Baumgarten, “aesthetics is…. a logic of the individual” and that irreducible individuality as such is beautiful.7 Indeed, this view has some prima facie support in the texts: Baumgarten insists that representations of individuals are “exceedingly poetic” because of their “richness and liveliness”8 and writes that “the aestheticological truth of the individual or singular thing is a perception of maximum metaphysical truth”9 He also claims that the objects of scientific or logical thinking are universals.10 Commentators have used such evidence to argue that Baumgarten intended his aesthetics to be a science of the irreducible and inexhaustible richness of individuality as such, and not merely in relation to the universal truths of logic.11 This favorable reading is challenged by one of Baumgarten’s earliest commentators, J. G. Herder. One of the founders of the Sturm und Drang aesthetic, Herder was acutely interested in the individual as such and the unique power of artistic genius to represent it. He is very much dismayed by Baumgarten’s approach to aesthetics, writing that the earlier philosopher’s excessively scientific and rule-based approach could never grasp “individualities” in their fullness.12 In the 20th century, Cassirer and Croce agree with Herder; Cassirer complains that the individual for Baumgarten is nothing more than “das unterste Logische,” while Croce suggests 7 Baeumler, pp. 212;224. See also Gross, Felix Aestheticus: Die Ästhetik als Lehre vom Menschen. Würzburg: Königshausen & Neumann, 2001, p. 48; Gross, “The Neglected Programme of Aesthetics” in The British Journal of Aesthetics vol. 42 no. 4 (Oct. 2002), p. 11; Wessell, “Alexander Baumgarten’s Contribution to the Development of Aesthetics” in The Journal of Aesthetics and Art Criticism, vol. 30 no. 3 (Spring 1972), p. 339; and Schweizer, Ästhetik als Philosophie der sinnlichen Erkenntnis. Basel: Schwabe, 1972, p. 44. 8 Med. §19. 9 Aes. §441. 10 Aes. §560. 11 Baeumler, pp. 212,227; Hammermeister, The German Aesthetic Tradition. New York : Cambridge University Press, 2002, p. 11; Gross, Felix p. 69. 12 Herder, Werke in zehn Bänden Vol. 1. Frankfurt: Deutscher Klassiker Verlag, 1985, p. 662. Koller - 3 that the individual is merely a compressed locus of abstract truths.13 Which of these two interpretive camps is correct? Unfortunately for Baeumler, et al., the transcendent individual runs afoul of Baumgarten’s most fundamental metaphysical tenets, which he appropriated from Wolff. The following four points were held in common by both Wolff and Baumgarten, and they are in fact essential to the Wolffian tradition14 of rationalism: 1) Universals exist, but only in and through individuals, not as self-subsisting entities.15 2) There is a universal reason (principle, law, or rule16) for each and every determination (or property) of possibility and actuality. This follows from the principle of sufficient reason,17 which both Baumgarten and Wolff explicitly endorse (and attempt to prove). Thus Baumgarten writes, “Every determination has a principle” so that “Wherever there are determinations, there are laws.”18 These determinations and the rules which govern them are structured hierarchically, in the traditional sense of species, genus, etc.19 As a result, they have a real logical structure amenable to the traditional syllogistic forms. “Universal truths are connected among 13 Cassirer, p. 126; Croce, Aesthetic as science of expression and general linguistic tr. Douglas Ainslie. London: MacMillan and Co., 1922, p. 215. 14 More contentiously: the Leibnizian tradition. 15 Wolff writes, “Genera and species do not exist except in individuals. Universal things are in all singular things” (Log. §§56-7). See also his Ont. §253 and Psy. §326. Baumgarten writes, “The universal is representable in singular individuals in the concrete… the species is in the individual… the determinations of the superior are in its inferior” (Met. §§150,153). 16 There does not appear to be a significant difference among the terms ratio, principium, lex, and regula; they are used interchangeably. Both Wolff and Baumgarten say they prefer the term “law” for a nominal statement expressing a real rule (Wolff, Ont. §509; Baumgarten, Met. §83), but this dictum is not really observed in practice. 17 “If something is posited to be, then there something is also posited, from which it is understood why the first thing rather is, than is not” (Wolff, Ont. §70). 18 Met. §§80;84. 19 Wolff, Ont. §253; Baumgarten, Met. §§151;154. Koller - 4 themselves… so that they can be demonstrated one from another… One contains the reason why another is true… The nexus of truths is founded in the nexus of things.”20 3) Both Wolff and Baumgarten explicitly define an individual as a thing which is “determined in every way.”21 Baumgarten also explains that being determined in every way amounts to consisting of a “complex of all compossible determinations,”22 so an individual is just something of which no possible determination is left indeterminate. Along with the principle of sufficient reason, which applies to determinations in general, it follows that there is nothing about the individual not determined through universal laws. In this way they exclude the idea, pushed by Herder and others, that there is an “individuality as such” which transcends universal laws. 4) For both Wolff and Baumgarten, the faculty of reason is the ability to perceive the connections among the rule-bound determinations of things and among the rules themselves. Baumgarten accepted Wolff’s view that “Reason is the faculty for intuiting or perceiving the nexus of universal truths.”23 Since the individual is determined in every way through universal laws, it follows that the faculty of reason is (at least in principle) capable of grasping the individual in its entirety through its own resources. Therefore Herder, Croce, and Cassirer are correct in thinking that Baumgarten’s metaphysics leaves no room for the individual as such, provided that “as such” means “in a way not graspable through the universal logical structure of all things, or not graspable through reason.” Of course, it possible that Baumgarten’s metaphysics is inconsistent with his aesthetics, as Wessell believes.24 But in absence of very 20 Wolff, Psy. §482. See Met. §48 for a statement from Baumgarten. Wolff, Ont. §227. 22 Baumgarten, Met. §148. 23 Wolff, Psy. §483. For Baumgarten’s affirmation of the same, see Met. §640. While Wolff tends to emphasize the kind of “perception” of these truths that involving discursive syllogisms, it is obvious from his definition that he takes reason in a rather wider sense. This more expansive sense becomes more explicit in Baumgarten, but can be found in Wolff as well, as discussed below. 24 Wessell, p. 341 21 Koller - 5 strong evidence of a fundamental shift in Baumgarten’s aesthetics, this remains an unattractive interpretation.25 Section 2: Perfection and the metaphysics of beauty. Wolff and Baumgarten provide remarkably similar definitions of beauty, at least on the surface. Wolff defines beauty as “the observability of perfection”26 and Baumgarten (in the Metaphysica) as “the perfection of phenomenon [perfectio phenomenon], or perfection observable to taste in the wide sense.”27 Because both Wolff and Baumgarten understand pleasure as the intuitive (i.e., immediate and singular) representation of perfection,28 beautiful objects please us. For this reason Wolff also defines beauty as “the aptitude of things for producing pleasure in us,” but makes clear that “that aptitude consists in the observability [of perfection].”29 We can take pleasure in objects which are not truly beautiful, but such pleasure is based on our own error of opinion about the object, not on a real perfection in the object itself.30 25 The evidence cited above in support of this view is at best conjectural. Simply because Baumgarten advocates the representation of individuals in art, it obviously does not follow that he means “individual” in some sense which goes beyond the sense he gives it in his metaphysics. 26 “Hinc definiri potest Pulchritudo… quod sit observabilitas perfectionis,” Psy. §545. 27 “Perfectio phaenomenon, s. gustui latius dicto observabilis, est PULCRITUDO,” Met. §662. “Taste in the wide sense” includes sensible as well as intellectual judgment (Met. §607). (Sensible judgment is simply “A confused judgment about the perfection of sensations” (Med. §92)). Baumgarten’s later formulation of beauty as “the perfection of sense cognition as such” (Aes. §14) is discussed below. 28 Wolff, Psy. §511; Baumgarten, Met. §655. 29 Psy. §545. 30 Wolff, Psy. §546; cf. Baumgarten, Met. §§655;662 and Aes. §§18;27. Wolff’s cognitivist theory of pleasure leads to some difficult questions: 1) What is the relation between pleasure qua cognition of perfection and pleasure qua feeling? Wolff slides easily between pleasure which “is” an intution (i.e. a cognition) to pleasure which arises [oritur] or is imbued [perfunditur] as a result of intuiting perfection (perhaps a feeling?), but does little to reconcile these two aspects of pleasure for the skeptical. 2) If the definition of pleasure as “intuitio perfectionis” is to be maintained, even “apparent” pleasures (pleasure taken in an object which is not really perfect) must involve the intuition of some perfection. But what perfection? Wolff argues that we take pleasure in the perfection of our own intellect in recognizing imperfection (Psy. §519), but this does not cover the more pervasive and important case where we do not recognize any imperfection and nonetheless feel pleasure. Rather than concluding that this view is hopelessly problematic (Guyer, SEP) or worse, insist falsely that “beauty is not essentially connected with any feeling of pleasure and delight” (Gross, “Neglected” p. 410), we should take Wolff at his word but Koller - 6 Beauty, on this account, has both an objective and subjective aspect: objective, in that “true beauty” is based on a real property of objects (their perfection), and subjective, in that an object is only beautiful when its perfection is observable for us. In the remainder of this part, I consider the objective concepts perfection, as well as the concept of phenomenon, which is absent from Wolff’s definition. The subjective concept of observability is discussed in the next part. Baumgarten defines perfection as the agreement of many in constituting the sufficient reason of a unity,31 while Wolff similarly defines perfection as “agreement in variety, or many different things mutually related to each other in one.”32 A thing is a unity, according to Wolff and Baumgarten, insofar as its determinations are inseparable, where the inseparability of determinations means that the structure of things is such that they are posited or taken away together, as determined by some universal principles.33 Importantly, this unity can be either or absolute or hypothetical: absolute if the unity is unconditional (this is true of a thing’s essential determinations, which are necessarily posited together), and hypothetical when the unity is conditional on some contingent determinations being a certain way.34 For example, the unity of some essential properties of a square (say, being four-sided and having equal sides and angles) with its having a diagonal of √2 times its side is absolute, because these determinations are absolutely inseparable. On the other hand, a wooden rod may have unity in that determining one end to move three inches along the axis of the rod is inseparable from the other end also being consider this aspect of his philosophy underdeveloped. Baumgarten does not develop Wolff’s theory of pleasure beyond stating his agreement with its main principles. 31 Met. §94. 32 Ont. §503. 33 Baumgarten, Met. §§72-73. Wolff, Ont. §§328-329. 34 Met. §76. Wolff does not make this claim explicitly as Baumgarten does, but it is obvious from the fact he allows composite things to be considered as unities (Ont. §341). See also DMet. §599, where Wolff uses unity (Einheit) and the inseparable (Untheilbahre) interchangeably, and with respect to nature, which is not an essential or absolute unity (but conditional on God’s act of making it so). Koller - 7 determined to move three inches along the axis of the rod. But this inseparability is hypothetical, because it depends on the determinations of the intervening parts (i.e. that they are unbroken and inflexible). Hypothetical unity allows unity in general to be a broad concept which applies, in varying degrees, to strict metaphysical unity of essence, to physical unity according to the general harmony of nature, and also to unity in relation to our senses and judgment. Wherever there is some basis for determinations being posited or taken away together, there is unity. Because unity is a broad concept, perfection can apply to composite things with their hypothetical unity, in addition to mathematical objects and monads with their absolute unity.35 Agreement [consensus] is order, which is the conformity of determinations to the same principle or law: “In order, many are conjoined conforming to the same reason.”36 In other words, the parts of an orderly thing exist and are arranged according to the same principle. Wolff gives the example of a library, which is orderly because all its books arranged according to the same organizational principles.37 The reasons governing the order of things are always universal principles, not special or irreducibly unique individual principles.38 Putting these pieces together, a thing is perfect insofar as common principles in its parts constitutes the sufficient reason of the unity or inseparability of the whole. Wolff writes that “if many constitute one perfect thing, a general reason is necessarily given, through which it is 35 As a result, unity is a loose and ambiguous concept which applies, in varying to degrees, to strict metaphysical unity of essence, physical unity according to the general harmony of nature, unity in relation to our senses and judgment, etc. This is permitted because unity, like most rationalist concepts, comes in degrees and can be “absolute” or “hypothetical.” 36 Baumgarten, Met. §§95;86. Wolff, Ont. §§472-474. 37 Ont. §475. 38 For statements of the universality or generality of the principles of order, see Baumgarten, Met. §92; and Wolff, Ont. §§508,516, DMet. §141, and HSM §4. The idea that order and perfection are measured according to general laws, not particular idiosyncrasies, goes back to Wolff’s personal correspondence with Leibniz. See Leibniz’s letters to Wolff of 2 April 1715 and 18 May 1715 (Leibniz, G.W. Philosophical Essays ed. Roger Ariew and Daniel Garber. Indianapolis: Hackett, 1989, pp. 230-234). Wolff and Baumgarten took Leibniz’s pronouncements in these letters very much to heart. Koller - 8 understood why these entities rather than others constitute this unity, or, why it is composed from these parts rather than from others.”39 This means that perfection expresses a “constituting” relation between order and unity: a perfect thing’s unity is constituted and explained by the order or common principles in its parts. For example, an arbitrary chunk of matter is minimally perfect because, although it holds together physically according to very general laws, its parts have no further common principle which mutually determine them to inseparability as a whole.40 And, although it is extremely anachronistic, Baumgarten would approve of a fractal as a basic example of a simple perfection: its individual pixels are arranged together as a unity because they are all determined and arranged according to the same mathematical algorithm.41 Importantly, perfection can be either simple or composite: simple when there a single principle which determines the manifold to unity, and composite when more than one principle determines the manifold to unity.42 The concept of composite perfection is central to the aesthetics of both Wolff and Baumgarten. Perfection has three components: a manifold or variety; the unity which holds them together, and the order which determines the manifold to its unity according to common rules. As each of these features comes in degrees, so too does overall perfection. Baumgarten explains that the degree of perfection is increased when 1) more or more perfect things are encompassed 39 Ont. §516. See Wolff, DMet §§719-721 and Baumgarten, Met. §§94-95 for confirmation of this kind of claim. 41 If the fractal example is not helpful, here is alternative formulation: a thing is perfect insofar as its unity consists in the fact that its parts cohere because they contain the reason or principle of the whole. For example, Wolff describes the unity of our most perfect of all possible worlds in this way: “The unity or inseparability of nature consists in the fact that each thing represents the whole” (DMet §599). In the same way, a thing considered as a unity lacks perfection insofar as the principle of its unity is not contained in its parts. This would be true of an arbitrary aggregate of matter. 42 Wolff, Ont. §507; Baumgarten, Met.§96. 40 Koller - 9 in manifold 2) the unity is greater (i.e. less hypothetical)43 3) there is greater or more robust44 agreement in the order.45 Wolff and Baumgarten were acutely aware that their concept of perfection involved unavoidable tradeoffs in its maximization. They inherited this awareness from Leibniz, who made this fact a cornerstone of his theodicy. Compromises in perfection become necessary in two places: between the degree of agreement with any particular principle and the amount of variety contained in a unity; and where multiple laws determining perfection come into conflict with each other. For example, a window might offer the best view (one perfection of a window) if it is much longer than it is wide, but this would violate the architectural rules of proportion (another rule of perfection).46 In the face of such unavoidable conflicts of rules, an “exception” must be made to one or both rules, at least to some degree. An exception, insofar as it has a reason and is unavoidable, is not a defect but actually contributes to the greater perfection of a thing, since it involves bringing a greater manifold to unity.47 Only determinations have no reason in constituting the unity of the whole are true defects.48 All else being equal, it is better to allow a thing to contain more determinations bound by more rules, rather than fewer determinations bound more strictly. The greatest perfections are for this reason composite – governed by many principles.49 Although he does not elaborate on it much, Wolff recognized 43 See Met. §173. Latin “quo pluries… consentiunt,” literally “when they agree frequently.” I understand this to mark the distinction between a fleeting and a more robustly persisting agreement. 45 Met. §185. Cf. Wolff, Ont. §§519-520,525. 46 Wolff gives a very similar example of a door, DMet. §163. 47 DMet. §170; Ont. §§513-514. 48 “A real defect is that which can be avoided” (Wolff, Ont. §512). 49 Baumgarten is most explicit about this: “The highest perfection would be maximally composite, and a simple perfection, however great it is, is nonetheless not the greatest” (Met. §185). The idea, however, is already implicit in the Leibnizian theodicy. 44 Koller - 10 that some rules are more important than others, so that perfection is maximized when exceptions to less important rules are made before exceptions to more important rules.50 Baumgarten applies these Wolffian ideas directly to his aesthetics. He writes, “The beauty of sensible cognition and the fineness of aesthetic objects themselves present composite perfections, which are universal… For this reason one allows exceedingly many exceptions, which are not counted as errors, even if they are encountered in experience, provided only that they do not disturb the greatest possible harmony of phenomena, and therefore if they are as minimal and unnoticeable as possible… And the exceptions, which we have indicated [above], present no unfineness, if for example a less important rule of beauty must yield to a more important, a less fruitful one to a more fruitful one, a nearer one to a further one, to which it is subordinated. Therefore if one is concerned with establishing the rules of beauty in thinking, one must be careful to consider at the same time the weight of these rules.”51 Much of the Aesthetica is dedicated to enumerating and weighing the importance of various rules against each other. But this is a straightforward elaboration of Wolff’s views, with nothing fundamentally novel. And the view thus far will not be very palatable to those who are wary of the use of rules in aesthetics. Despite all this, anti-rationalist commentators argue that Baumgarten did break with Wolff in his understanding of perfection. Baeumler and Schweizer52 suggest that Baumgarten invoked a special “sensible” kind of perfection, some property of perfection qua beauty which is in principle unintelligible through universal principles. The nature of this alleged sensible perfection is left rather unclear; Baeumler even suggests at one point that it should be understood 50 DMet. §§166-168; Ont. §515. Curiously, in this paragraph Wolff argues that more specific rules are more important than more general rules, because specific rules govern more specific determinations which are more closely related to the thing’s actual existence. Baumgarten takes the opposite view (Aes. §25). 51 Aes. §§24-25. 52 Baeumler, pp. 217-218; Schweizer, p. 27. See also Gross, “Neglected” pp. 409-410, though he avoids the term “perfection,” having an idiosyncratic understanding of it. Guyer hints at this as well, “Baumgarten introduces the idea that the sensible imagery a work of art arouses is not just a medium, more or less perfect, for conveying truth, but a locus of perfection in its own right” (SEP). Koller - 11 as a je ne sais quoi.53 Elsewhere, he ties his alleged division between sensible and logical perfection to Baumgarten’s actual distinction between formal and material perfection.54 These latter concepts are not explicitly defined, but Baumgarten lists the components of each: formal perfection includes richness, greatness, exactness, clarity and distinctness, certainty, and liveliness, while material perfection includes amount, greatness, importance of the governing laws, and the agreement of the manifold.55 This distinction is quite perplexing at first glance, but as it turns out, the components of formal perfection correlate exactly with “the perfection of every cognition” which Baumgarten had previously listed,56 and around which the entire Part 1 of the Aesthetica is structured.57 Thus, what Baumgarten calls formal perfection is just the perfection of mental58 representation in general, while material perfection is the perfection of the object being represented. Now, this does mean that cognition in general has its own perfection, which is called formal. But it provides no evidence of a special kind of perfection in the object being represented. In fact, Baumgarten’s explanation of material perfection harmonizes very well with the general explication of perfection I have already given.59 And it remains to be seen, in the next part of this paper, whether Baumgarten thinks there is a special, qualitatively different perfection of cognizing aesthetically, as opposed to the perfection of cognition in general. 60,61 53 Baeumler, pp. 217-218. Gregor also makes a very vague claim to the effect that Baumgarten posited a qualitatively different sensible perfection, “a unity-in-multiplicity of sensible qualities” (p. 370). 54 Baeumler, p. 223. 55 Aes. §§556-558. Baumgarten characteristically leaves the “of what” tacit, referring to a list of adjectives only. 56 Aes. §22, emphasis added. 57 That is, they correspond to the lower-case Roman letter sections in the “Synopsis” of the Aesthetica. 58 Strictly speaking, formal perfection also applies to the representative power of objects, not just the mind—e.g. the power of a poem for representing the world. This will become apparent below. See Aes. §70 for the same list of six qualities as applied to art objects. 59 I.e., material perfection is easily parsed as the amount and magnitude of the determinations being bound to unity, the magnitude of the laws used to bind them, and the degree of conformity to those laws. 60 My reading of the oft-cited sphere of marble example (Aes. §560) runs as follows. Baumgarten says that we cannot strive after formal perfection without much loss of material. However, since formal perfection is the perfection of cognition in general, this simply means that in general the better we Koller - 12 Section 3: Is there a distinct sensible truth? Along the lines of Baeumler’s suggestion that Baumgarten’s aesthetics is a special kind of logic, Baeumler and Gross argue that “aesthetic truth,” a concept introduced in the Aesthetica, corresponds to something in the world which cannot be grasped intellectually.62 As it turns out, the appellation “aesthetic truth” is very misleading, for aesthetic truth is not at all a new metaphysical notion of truth. “Metaphysical,” “objective,” “material,” or what Wolff had usually called “transcendental” truth, is the conformity of a singular thing with a universal that is in it, in the sense described above.63 In other words, metaphysical truth is an expression of the structure of universals which actually exist in singular things. Logical and aesthetic truth are certain ways that metaphysical truth appears to us; they are the two forms of “subjective truth.” “Metaphysical understand something (whether aesthetically or intellectually), the less encompassing our cognition is. So we can know more (geometrical) truths about a perfect sphere of marble, perceived intellectually or aesthetically, but only by abstracting from or “throwing away” other truths about the whole marble block. Hence, “Quid enim est abstractio, si iactura non est?” In short, this passage does not really involve the tradeoff between aesthetic and intellectual thinking at all, but the more general tradeoff between thinking well and thinking a lot of material. 61 Similarly, Schweizer has suggested that aesthetic objects have their own special individual unity because they are located uniquely in time and place, tying this to Baumgarten’s approval of Aristotle’s “three unities.” “Die ‘veritas individui’ ist an das aktuelle In-der-Erscheinung-Treten an einem bestimmten Ort und zu einer bestimmten Zeit gebunden. Wir sprechen daher künftig nicht mehr von der ‘individuellen Wahrheit,’ sondern von der ‘Wahrheit der individuellen Erscheinung.’” (Schweizer, p. 44). Cf. Aes. §439. But according to Baumgarten time and space are not irreducibly sensible forms, as they are for Kant. Instead, they are the arrangements of things determined logically through the universals in things (Met. §§238-239). thus they provide no basis for any qualitatively different metaphysical unity. Wessell claims that Baumgarten’s introduction of the concept of the theme amounts to a special, qualitatively different unity (p. 341). Baumgarten introduced this concept in his Meditationes: “By theme we mean that whose representation contains the sufficient reason of other representations supplied in the discourse, but which does not have its own sufficient reason in them” (Med. §66) Such a reason or principle [ratio], however, is no different in kind from the principle which is always needed to account for the unity of any perfect thing. Baeumler also suggests that Baumgarten posits a special sensible unity but does not explain what it consists in (p. 227). 62 Baeumler, pp. 225-227; Gross, Felix p. 48. 63 Met. §92. The terms “material” and “objective” come from Aes. §423-424. For the same concept in Wolff, see Ont. §495-498. Metaphysical truth is also understood as the order of many (i.e., the parts) in one (i.e., the whole which answers to a universal) (Baumgarten, Met. §89; Wolff, Ont. §495). For this reason it is closely related to perfection, although it lacks perfection’s additional element of the order among the universals themselves; however this comes into play only in composite perfection. On this see Wolff, DMet. §721. Koller - 13 truth… sometimes chiefly appears to the intellect in the spirit, while it is distinctly perceived, and sometimes it appears to the analog of reason and the lower cognitive faculties [i.e., sense], either solely, or principally.”64 Thus we represent the same underlying truth through the two parts of our cognitive faculty:65 as represented distinctly it is called “logical truth”66 and as represented less than distinctly it is called “aesthetic truth.” So, there is no qualitative distinction between the objects of sense and intellect. Whether a qualitative difference exists in corresponding parts of the cognitive faculty is taken up next. Part 2 – Baumgarten’s broad agreement with Wolff about cognition Both Wolff and Baumgarten held the Leibnizian view that the soul is a vis repraesentativa, a power of representing the world.67 This should be understood as the metaphysical thesis that there is a representation relation between the contents of the mind and the way the world is in itself, and that the mind actively represents the world.68 As a result, the mind acts and does not merely receive impressions passively, even in sensing.69 Further, all mental content is 1) intentionally related to some aspect of the world as it is, and therefore 2) not merely private and subjective. Baumgarten in particular is fastidious about specifying that each and every mental faculty “represents the world according to the position of my body.”70 That 64 Aes. §424. Cf. Handschrift §424, which is somewhat helpful here. As Croce has already recognized, though he prematurely dismisses this view as absurd (pp. 215-216). 66 That is, logical truth in the narrow sense. Baumgarten also recognizes the concept of logical truth in the wide sense (Aes. §423) which is just the general agreement of a representation with its object, and therefore also includes aesthetic truth insofar as it is accurate. In order to avoid confusion, Baumgarten decides to use the term “logical truth” for distinct representations only, and coins the new term “aestheticological truth” (Aes. §427) for “logical truth in the wide sense.” 67 Wolff, DMet. §§773-774; Baumgarten, Met. §§506-507. 68 It should not be confused with the contemporary epistemological view called representationalism. The rationalists’ metaphysical claim by itself is silent about how propositional beliefs can be justified by sense experience. 69 Wolff, DMet. §223. 70 E.g., sense Met. §534, imagination §557, intellect §625. 65 Koller - 14 Wolff and Baumgarten share this general outlook is not explicitly challenged by any commentators. Both Wolff and Baumgarten distinguish sense and intellect, associating the former with what they call the inferior part of the cognitive faculty and the latter with the superior part.71 Sense apprehends confused ideas, while the intellect apprehends distinct ideas; Baumgarten even defines “sensible” as ideas insofar as the are confused.72 Baumgarten also names the inferior, sensible cognitive faculty as the so-called “analogon rationis” and identifies it with aesthetics.73 Aesthetics is, in other words, the science of sensible, confused cognition, or cognition through the analogon rationis. According to Wessell, Baeumler and Guyer,74 such an “analogon” must be both similar to but also different from reason. All of this suggests that Baumgarten may have committed himself to a nonrational mode of cognition (and perhaps Wolff did so as well, though no commentators entertain that possibility). This alleged mode of cognition would perceive something besides universal rules and determinations and the connections among them, as described above. On the other hand, there is strong evidence that Wolff and Baumgarten accepted the “lex continui,” the dictum that God and nature do not make leaps. Baumgarten is most explicit: “nature makes no leaps from obscurity into distinctness. From night to day through dawn.”75 This implies that a sharp division between a lower and higher faculty is impossible; they would have to differ in degree along a continuum. Accordingly, other commentators believe that Baumgarten, like Wolff, must view sensibility merely as an inferior power of manipulating abstract, desiccated concepts; i.e., it must do the same thing that the “intellect” does, but in a 71 Wolff, Psy. §54-55; Baumgarten, Met. §521;624. Met. §521; Aes. §17. 73 Aes. §1. 74 Wessell, pp. 338-339; Baeumler, p. 226.; Guyer, SEP (see below). 75 Aes. §7. 72 Koller - 15 confused and less effective manner.76 This view has the dubious benefit of Kant’s blessing: he thought that the lex continui “left nothing for the senses but the contemptible occupation of confusing and upsetting the representations of the [understanding]” and claims explicitly that Baumgarten’s “attempt of bringing the critical estimation of the beautiful under the principles of reason” was failed and hopeless.77 Indeed, a view which made the senses an unreliable tool for manipulating abstract concepts would have little hope of yielding a plausible aesthetics. In this part, I argue for a middle position: that Baumgarten, like Wolff before him, did accept the lex continui, but that they also had a plausible account of sensibility which did not make it an inferior form of abstract apprehension and manipulation. Baumgarten actually innovated very little here beyond clarification and extension of Wolff’s published views. Section 1: The analogon rationis. Guyer provides the most explicit account among those who think that the “analogon rationis” is a form of cognition which structurally parallels but is distinct from intellectual cognition.78 As he explains it, “Baumgarten… take[s] a list of the categories of the perfections of the content of logical or scientific cognition and construct[s] a parallel list by adding the adjective ‘sensible’ to them to arrive at a list of sensible or aesthetic perfections… The list of the perfections of every kind of cognition that Baumgarten gives in the first chapter of the Aesthetica is ‘wealth, magnitude, truth, clarity, [certainty (sic),] and liveliness’… and thus beauty consists in the aesthetic versions of these perfections.” Guyer does not explain what the sensible versions of truth or certainty, etc. amount to, and indeed leaves one wondering how Baumgarten justifies this move. In fact there is no special “aesthetic version” of these perfections, and Baumgarten really does intend them to be the perfections all cognition, 76 Croce, pp. 215-216; Cassirer, pp. 120-121. KrV A276/B332; A21/B35, Guyer-Wood translation. 78 This arrangement is familiar to readers of Kant as operating in the transition from the “Table of Judgments” (A70/B95) which operate on noumena, to the “Table of Categories” (A80/B106) which operate on phenomena. 77 Koller - 16 including both aesthetic and intellectual cognition. All of these perfections79 are defined in the Metaphysica in terms of universals and are not redefined in specially “sensible” terms in that or any other text.80 Baeumler insists that “The representations of the imagination and of the senses are capable of their own connection and their own unity,”81 but says almost nothing specific about how this special unity is to be understood. Charitably, we might read him this way: that Baumgarten’s science could be an investigation of the question: why do some confused perceptions hold together, cohere, or have unity in relation to our senses, while others do not? Perhaps some mental “principle of sensible unity” could be posited as the explanation, and the science of aesthetics could be aimed at investigating this principle. There is some truth to this suggestion. Our senses do represent some aggregates as unities and not others, and unity is needed for perfection. Some of the specific formal elements that Baumgarten connects to beauty, such as“lucid presentation,”82 are plausibly understood in terms of their conferring unity to the senses. But there can be no a priori principle of unity for the senses in Baumgarten’s system, as there is in Kant’s.83 This is because what is characteristic of sense cognition is simply its confusion, the mental representation of what is really many as one.84 Confusion as such can have no a priori principle: we cannot know a priori whether one kind or another of confused perception will appear to us as a unity. Rather, we must use experience – 79 More accurately: qualities which count toward the perfection of something. Met. §§515,531. 81 Baeumler, p. 227. 82 Med. §§70-71. 83 By “a priori” is meant cognized from general principles or axioms, without the benefit of any particular sense experience. See Met. §24 and Wolff, Psy. §434. 84 Met.§§521;510, and see below. 80 Koller - 17 guided by the universal principles of rationalist psychology and tempered by more specific universal generalizations – in order to discover general principles of unity.85 In fact, Baumgarten’s analogon rationis does not anticipate a Kantian subjective unity of sensible objects at all. Instead, as in so much else, it looks back to Wolff and Leibniz. In the Psychologia Empirica Wolff had already described the “analogium rationis” as the faculty by which we expect similar effects from similar causes.86 Because the causal nexus is, according to Wolff, determined by the universal laws which exist in things, this faculty gives us a highly confused insight into the connection among the universally ordered determinations of things. It is precisely on that account similar to reason, “or as it were the lowest degree of reason, the nearest rung on the way to reason, or even the beginning of reason.”87 As he explains this faculty, “Reasoning lies hidden in the expectation of similar cases, insofar as it is explainable through a syllogism; but the mind does not distinguish the singular propositions from each other, except confusedly.”88 Because Wolff seemed more interested in such a faculty insofar as we shared it with animals, he restricted the object of his analogium rationis to the connection of causal truths alone. Under Baumgarten the notion took on a broader, but not fundamentally different significance: an faculty to gain a confused insight into the connection of universal truths through a lower intellectual faculty. The analogon rationis is therefore best understood as our ability to cognize the very same structure of universal truths confusedly, rather than distinctly. Precisely what this means, and whether it involves a deeper qualitative difference between confused and distinct or between intellect and sense, is taken up in the following two sections. 85 Aes. §§10;73;482. Psy. §506, also DMet §372. This provenance has already been noted by Gregor, although I do not think that “Wolff could not… have anticipated the use to which Baumgarten would put [his] suggestion” (p. 373). Wolff in turn took the view from Leibniz, who also referred to a faculty which “bears some resemblance to reason” (“Principles of Nature and Grace” §5, p. 208; “Monadology” §28, p. 216). 87 Wolff, DMet §872. Wolff evidently lifted his example of the dog directly from Leibniz (op. cit.). 88 Wolff, Psy. §505. 86 Koller - 18 Section 2: Confused vs. distinct. Following Leibniz,89 both Wolff and Baumgarten divide representations or general mental content into clear and obscure; and clear into distinct and confused. As we shall soon see, this taxonomy is central to both Wolff’s and Baumgarten’s aesthetics. A clear perception of X is that which my power of representation distinguishes from other perceptions, while an obscure perception is that which I do not distinguish from others.90 Clear perceptions are either distinct or confused. A clear perception of X is distinct if and to the extent that I can identify (and therefore say) what makes my perception of X different from other perceptions, and confused otherwise.91 The principle by which a thing can be distinguished from others is called a note [nota, Kennzeichen], which is a determination of a thing according to universal law.92 If my perception of X is clear and distinct, I can distinguish the perception from others and also distinguish and identify the notes in X which allow me to do so.93 In a clear but confused perception of X, I distinguish X from other things but cannot distinguish or identify the notes in X which allow me to do so. As Wolff and Baumgarten point out, confused perceptions always contains something obscure in them even if they are clear when considered as a whole. Specifically, in a clear but confused perception I perceive the notes obscurely.94 If confused and distinct differ only in degree, not in kind, as I wish to maintain, then it should be possible to define one in terms of the other along with a relevant kind of negation. For example, we know that hot and cold as physical quantities do not differ in kind because heat can Leibniz, “Meditations on Knowledge, Truth, and Ideas,” pp. 23-27. Baumgarten, Met. §510; Wolff, Psy. §31. There is a modal ambiguity between “can distinguish” and “does distinguish” in these definitions. In psychological and aesthetic matters, we are almost always interested in what I do distinguish, while what I can distinguish is more relevant to epistemology. 91 Baumgarten, Met. §510; Wolff, Psy. §39. 92 Baumgarten, Met. §67. A note is just a determination which can distinguish one thing from an other in representation. Wolff rarely uses this term (e.g., Psy. §371), generally preferring “determination” or “enunciabilia” (because whatever we can distinguish, we can name). 93 Baumgarten, Met. §522; Wolff, Psy. §38. 94 Baumgarten, Met. §510; Wolff, Psy. §33. 89 90 Koller - 19 be defined as a certain collective molecular motion and cold can be defined as the relative lack of that very same molecular motion. In order to do this in the present case, we need first to recognize that the concepts “clear,” “obscure,” “distinct,” “confused,” are always relative to the part or whole being attended to.95 For example, what is perceived distinctly as a whole will be perceived clearly as parts (i.e. notes); that thing’s parts of parts may be perceived clearly or even obscurely, and a clear but confused perception, when considered as a whole, is nonetheless typically part of a more encompassing perception, which is distinct because it has the clearly perceived parts as notes.96 This fact leads Wolff to the following explanation: “Clarity always turns out to be a degree deeper than distinctness. The first degree of clarity [i.e. something merely clear but confused] has no distinctness, with the next degree of clarity begins the first degree of distinctness, and so forth.”97 So clarity and distinctness do not differ in kind, but only in degree. As for confusion, it is “a lack of a further degree of clarity, and for that reason arises when our thoughts are obscure in relation to the parts of the manifold, which is met with in a thing.”98 In other words, confusion is just the negation of distinctness, which itself is just the clarity of the parts of a clear perception. There is no difference in kind. Below, I show that Baumgarten gives a subtly but importantly different account of this single cognitive measure. Section 3: Intellect vs. sense. Both Wolff and Baumgarten divide the cognitive faculty into a superior and inferior faculty. The superior faculty is associated with intellect and distinct 95 This goes at least for ideas of immediately apprehended singular things. With respect to the application of abstract representations, the concepts are relative to the species of the thing perceived. For example, I may be able to enumerate the notes which allow me to distinguish a particular pigeon from other animals, so my perception of the pigeon qua animal is distinct; I may be able to distinguish the same pigeon from other birds but not explain what the difference consists in, so the same perception of the pigeon qua bird is clear but confused; and I may not be able to distinguish that particular pigeon from other pigeons, so the same perception of the pigeon qua pigeon is obscure. 96 Wolff, DMet. §§207;212; Psy. §41. 97 Wolff, DMet. §211. 98 Wolff, DMet. §215. Koller - 20 ideas, while the inferior faculty is associated with sense and confused ideas.99 Granted that confused and distinct lie on a single scale, sense and intellect seem to embody another, sharper division: namely the difference between apprehending concrete individuals through sense, and apprehending abstract general concepts through the intellect. Two-faculty commentators think that Baumgarten’s introduction of the notion, “sense cognition, as such”100 represented a liberation from the abstract intellectual thinking championed by Wolff,101 while one-faculty commentators again point to Baumgarten’s commitment to the lex continui, insisting that Baumgarten’s cognitio sensitiva must remain a form of intellectual abstraction after all. As Cassirer sums up, “No independent organizing principle is devised, instead only a new class of ‘sensible concepts’ is presented.”102 In my view, both sides mischaracterize Wolff’s and Baumgarten’s views. Cassirer and Croce are mistaken if they think that the cognitive theories of Wolff and Baumgarten are fundamentally based on abstract ideas. If we go back to their definitions, both Wolff and Baumgarten are perfectly clear that the intellect is simply the faculty for apprehending things distinctly.103 Neither simply identified distinct ideas with abstract general ideas or what Wolff called “notions.”104 The mind forms notions, according to both philosophers, by abstracting a note which is common to several individuals in order to yield ideas of species and 99 Wolff, Psy. §§54-55. He is careful to same that the distinction is only nominal or instrumental, however: “Pars enim facultatis cognoscendi inferior & superior terminus philosophicus est, cui nulla inest veritas.” Baumgarten uses “insofar as” [quatenus] in a critical passage on sensibility (Met. §522). Thus even based on superficial evidence, the two-faculty reading is on shaky ground. 100 Aes. §14. 101 Baeumler, p. 225; Gross, “Neglected” p. 409; Gregor also suggests this view (p. 384). 102 Cassirer, p. 128. 103 Wolff, Psy. §275. This passage also contains an interesting discussion of the vulgar use of the term “intellect” and its supposed opposition to sense and imagination. Baumgarten, Met. §402. Baumgarten also introduces the notion of “intellect in the wide sense” which is just the faculty of cognition in general, encompassing both distinct and confused ideas (Met. §519). 104 Psy. §50. NB, in his Logica and Ontologia, the term “notion” also applies to individuals. Wolff is aware of this terminological “variation” but is unconcerned by it (ibid). Baumgarten prefers the term “conception” [conceptio] (Met. §623). Koller - 21 genera.105 Thus abstract notions are derivative mental content, and cannot be the fundamental cognitive “units” for either Wolff or Baumgarten.106 On the other hand, Cassirer and Croce may think that distinct ideas (and by implication of the lex continui, all other ideas as well) are inherently “abstract,” simply by virtue of the fact that a distinct perception always involves the ability to attribute a universal determination – a note – to the thing perceived. However, since all determinations are universally determined (according to the principle of sufficient reason) and since the most concrete things, individuals, are things determined in every way, there is simply nothing to be perceived except concrete complexes of universal determinations and abstractions of universal laws from them.107 In this case the attack begs the question against Wolff and Baumgarten’s metaphysics in assuming that there that must be properties of concrete objects not determined by universal laws. Does the mental activity of abstraction itself constitute something different in kind from the mental activity of apprehending individuals through sense, as the two-faculty commentators believe? Wolff is not as clear as one would like on this point, writing only that “When we consider [intuemur] those which are distinguished in a perception separated from the thing perceived, we are said to abstract from it.”108 Fortunately, Baumgarten delves further into the psychology of abstraction. Abstraction, he agrees, is the separating of a part from its whole, but explains that this separation is simply a matter of attending to that part more than the whole. I attend to something simply by perceiving it more clearly than its surroundings. Because it is a general fact about cognition that in perceiving some X more clearly, I perceive everything else 105 Wolff, Psy. §49. Baumgarten, Like ideas of individuals, notions can be obscure, clear, confused, or distinct (Psy. §50), and it is distinct vs. confused – not general vs. individual - which marks the boundary between the superior and inferior cognitive faculties. 106 In fact, for Baumgarten forming an abstract idea involves at least six more basic mental operations (Met. §631). The details are partly described below. 107 See Met. §§148-154. 108 Psy. §282. Koller - 22 more obscurely, attention involves obscuring what I am not presently attending to.109 Thus the formation of abstract general ideas for Baumgarten is not a special, distinct mental act but simply a species of the general act of attending.110 This is very different from Kant’s two-faculty view, which is perhaps more familiar. But it is virtually identical to Hume’s one-faculty psychology of abstraction,111 in that it only involves attention, and not the perception of some abstract general self-subsisting object - something which does not exist in Baumgarten’s metaphysics any more than it does in Hume’s.112,113 Section 4: Was there a shift to subjectivism? In his later Aesthetica, Baumgarten “redefines” beauty as “the perfection of sense cognition, as such.”114 Some commentators read this as a fundamental shift from the fully objective aesthetic of the Meditationes and Metaphysica to a more subjective aesthetic, one which locates beauty more in the cognitive faculties of the observer than in the object itself.115 There is, however, a much more straightforward explanation for this new definition. Because the Aesthetica purports to give a universal account of beauty116 – unlike the Meditations which was explicitly focused on poetry it cannot primarily treat of what makes objects beautiful in themselves. As we have seen, perfection is a general concept of metaphysics. A poem, a piece of music, and a tree are all perfect in the same general way that organisms and the world are, so a universal account of 109 Met. §529. Met. §§629-631. 111 Hume, A Treatise of Human Nature sec. 1.1.7. 112 Indeed, this theory seems to sit even more comfortably with the rationalists than with Hume, because in Wolff and Baumgarten generality is already built into the objects themselves, while in Hume the metaphysical status of generality requires additional explanation. 113 Wolff would almost certainly have agreed with Baumgarten’s theory of abstraction, because he also held the same theory of attention (Psy. §§235-237;256) and the same view that a clearer perception of one thing obscures the surrounding perceptions (Psy. §§74-76). He simply neglected to apply this doctrine explicitly to the formation of abstract ideas. 114 Aes. §14. 115 Guyer calls this a “subtle departure from Wolff” (SEP); cf. Gross, “Neglected” p. 410. 116 Aes. §§17,71. 110 Koller - 23 beauty would not differ from a universal account of perfection. A detailed analysis of the general observability of perfection in general is what remained to be investigated. Of course, observability is not distinct from the qualities of the object itself, so the objective features are certainly not irrelevant – merely de-emphasized. This is the reason for the shift in emphasis from the object to the cognitive act.117 The “as such” is another matter, to be discussed in Part 4 of this paper. Part 3: Baumgarten’s new attitude about the metaphysics of beauty As we have seen, Baumgarten neither broke with the fundamental tenets of Wolffian rationalism, nor altered Wolff’s general understanding of beauty as perfection insofar as it is observable. His innovation instead comes from a shift in the kinds of reasons or principles involved in the perfection characteristic of beauty – in what we might call his “specific conception” of perfection.118 According to Wolff, the reasons governing perfection are chiefly teleological, so that a thing is perfect insofar as all of its parts and their arrangement tend toward a common end.119 As he writes, “beauty is founded in perfection, and perfection moreover depends on ends” and that “the perfection of things is assessed from their ends,” even calling the study of the latter “teleology.”120 Perhaps even more telling than these explicit claims, nearly all of the examples Wolff uses in explaining perfection, including in relation to beauty, are thoroughly teleological. Both the perfection and beauty of a clock, for example, consists in its 117 For a similar explanation of this shift, see Gregor, pp. 376-377. Guyer (SEP) also believes Baumgarten innovated by changing the sorts of reasons which count for the perfection of a thing. But he thinks that the move involves an increase in the role of formalism, which I believe is a mischaracterization. Neither Wolff nor Baumgarten recognize formalism as such, understood as the idea that only the arrangement of parts, and not their content, contributes to beauty. 119 Ont. §503. 120 EAC §14; HSM §7. 118 Koller - 24 conformity to the end of a clock: telling time accurately.121 This gives Wolff’s theory of beauty the cast of an engineer’s appreciation, something which seems quite foreign to the beauty of poetry, painting, and music. Yet two of Wolff’s examples do not entirely fit the teleological mold.122 First, he claims that the perfection of an image consists in its similarity to its prototype, for example a picture of grape is perfect insofar as it is similar in appearance to an actual grape.123 Perfection grounded in similarity need not be based on the intentions of the painter.124 Second, Wolff claims that architectural elements generally ought to have small whole number proportions, like 2:1 or 2:3, etc.125 Wolff’s rationale is that the agreement of the building with principles of beauty should “be easily discerned by the judgment of the eyes,” and the eyes most easily grasp simple whole number proportions. But precisely what principles of beauty are at Ont. §506; DMet. §152-153. Other examples of Wolff’s teleological notion of perfection include the perfections of human life (Ont. §503), society (DMet. §152), telescope lenses (Ont. §505), the eye (Ont. §§506-507; DMet. §158), the windows of buildings (Ont. §516, DMet §§158-160,167), and buildings themselves (Ont. §516; DMet. §170; EAC §§5,8-9). 122 Wolff also brings some non-teleological formal notions of beauty into his treatise on architecture, but they are extremely underdeveloped in both their introduction and application. The concept of “eurythmia” (EAC §31), for example, is derived from the experience of its being pleasing, but Wolff makes no effort to explain this pleasingness in terms of general principles. Likewise with “symmetry,” whose definition as “the agreement of the parts among themselves and with the whole” (EAC §24) is too vague (since as stated it could be strictly teleological as well) and its application insufficiently grounded (e.g., EAC §151). Most often in this work, the beauty of architectural elements obey either rules of proportion (discussed below) or their observable suitability with their ends, e.g. a beautiful column is one that appears to satisfy its purpose of easily bearing the weight of the building (EAC §90). Guyer believes that Wolff has a more robust formal notion of beauty, but the only evidence he cites are passages to the effect that beauty is pleasurable (cf. EAC §8) and that a building should be beautiful and decorative (cf. EAC §18). But it is question-begging to assume that beauty is here understood formally, when it is understood teleologically everywhere else; even decoration [ornatus] is explained in terms of its purpose to draw the eyes of those going past (EAC §15). In general it cannot be claimed that Wolff had any significant formal conception of beauty beyond the very general (and indeed definitional) view that the parts must agree with each other in constituting the whole, along with a few platitudes which were fashionable at the time. 123 Ont. §512. The grape example is from this passage. 124 Wolff seems to quash this possibility, however, in arguing for this proposition by claiming that the painter “must not have intended other than to represent the prototype” (Ont. §512). This would make the teleological explanation primary. Nonetheless, it seems that the representational of perfection is also at work. 125 EAC §§25,29. 121 Koller - 25 work here? Does he simply wish the viewer to notice to notice most easily that the architect had some principle or other in mind when designing the building? Although that may be part of the explanation, it is not all. To see this, consider the importantly different specific conception of perfection from Wolff’s Deutsche Metaphysik: “In a picture and generally in every thing which represents something else, all things agree with each other when there is nothing encountered in it which would not also be found in the represented thing, since the reason why it is [warum es ist] consists in the representation of another thing. And for that reason the perfection of a picture and generally of a thing, which represents something else, is its similarity with what it represents. Thus the more similarity is encountered, the greater perfection there is.”126 The preference for integer proportion, then, is not held merely because it suits our cognitive faculties. Rather, integer proportions are also inherently beautiful because of what they represent to sense: geometrical truths about the world. I call this second specific conception of perfection the representative conception, because it measures the perfection of a thing according to how well it represents something else, as opposed to the teleological conception detailed above. Interestingly, Wolff neglected to develop the representative conception of perfection beyond the rather paltry examples I have given. This is precisely where Baumgarten picks up the metaphysical reigns. In what should be understood as a highly significant shift in attitude and emphasis but not doctrine per se, Baumgarten jettisons the teleological conception of perfection entirely in aesthetic matters,127 and focuses solely on the representational conception. This reorientation is evident from his early definition of poetry as a form of discourse, where discourse is “a series of 126 DMet. §822. Note that this definition also applies to the monads that constitute the world (because they are souls). For that reason it allows for parallel definitions of the perfection of the world: just as the world is most perfect because it conforms perfectly with God’s ends in creating it (teleological conception), it is also most perfect because all of the monads represent each other in perfect harmony (representational conception). 127 As far as I am aware, Baumgarten never mentions ends, purposes or teleology with respect to anything in his aesthetics or in any matters related to aesthetics. Koller - 26 words designating connected representations,”128 to his claim that a poem resembles a picture and both ought to clearly represent their objects,129 to the fact that beauty in the Aesthetica is pervasively analyzed in terms of what and how the beautiful thing represents. For Baumgarten, beautiful objects can represent many truths about the world, particularly very complex truths which are less amenable to strict logical or scientific explanation. These include (but not limited to) complex truths about human actions, how people live and how they ought to live.130 For example, Baumgarten says that a beautiful object might show that a “man conducts himself honorably, [although] I cannot provide a [strict] demonstration of it.”131 He approvingly cites Shaftesbury’s claim that “every virtue is constituted in the love of truth”132 The perfection and value of beautiful things therefore consist in their power to represent complex truths133 about the world to us. Baumgarten draws many consequences for this result, but the following three are most important. First, and most directly, objects are beautiful insofar as they represent truth about the world, not insofar as they represent falsity.134 This does not rule out fiction – not even fictions which are nomologically impossible.135 But it places significant constraints on when such devices may be deployed, typically when depicting actuality would not represent some truth (e.g., a moral truth) as effectively and beautifully.136 Baumgarten claims that in general, the 128 Med. §1. Med. §38-39. 130 Baumgarten writes approvingly that “the historian is allotted the task of presenting what happened, and the poet what ought to happen, and for this reason [Aristotle] praises poetry, since it is more philosophical than history, and speaks of more universal things, because it expresses more the particular” (Aes. §586). 131 Handschrift §423, p. 214. 132 Aes. §556. 133 The reason that beautiful objects ought to represent complex truths is rooted in our cognitive limitations, as discussed in the following part, not in the metaphysics of beauty per se. 134 Med. §§51-64; Aes. §§431,442-444;481-502. 135 Med. §§52-53; Aes. §566. 136 This goes deeply into the details of the Aesthetica, but some of the most relevant passages are §§486,491,493,495-500,502. 129 Koller - 27 objects of “poetic” or fictional aesthetic thinking should differ as little as possible from actual objects, and only for the sake of the beauty of the whole.137 Second, objects are beautiful insofar as they present truth in an orderly and expressive way.138 A disorderly arrangement or inelegant expression, like a mathematical proof all of whose steps are jumbled, might represent the same material elements of truth but not in a way amenable to our grasping them. Third, since representing truly is a matter of agreement or similarity with the object being represented, a thing can be beautiful in its similarity to the harmonious structure of the world, in that it represents that harmonious structure to us. Thus the more an object imitates the general structure of the perfect structure of nature in which each of the parts represents the whole, the more perfect it is. “The poet is like a maker or a creator. So the poem ought to be like a world. Hence by analogy whatever is evident to the philosophers concerning the real world [i.e. its maximal perfection], the same ought to be thought of a poem.”139 This is the idea of the “theme,” the sufficient reason of the whole which explains all the parts of a thing,140 and is a reiteration of the representational concept of perfection: Not only must a beautiful object represent truths about the world, but its parts should also represent its whole. In this way, of course, it also represents our harmonious world all the more though its similarity.141 Each of these features of beauty deserves a much more thorough treatment, but that is a task for another time. 137 Aes. §595. This means that the truth represented by the whole must be worth the cost of the poetic license (i.e. falsity) allowed in the parts. 138 Med. §§69-107. Along with the representation of truth, an orderly and expressive form are the three main topics of Baumgarten’s aesthetics. See Med. §6; Aes. §13. What I am here calling the “third consequence” is a more general feature of beauty, which is really more directly a consequence of perfection in general. 139 Med. §68. For the idea that the poet imitates the general nature of the world, see Med. §§108-110. Baumgarten also cites the cosmological world-structure (Met. §§444-446) in explaining the nature of beauty, particularly the idea that the parts get their perfection through their relation to the whole (Aes. §§24-25). Baumgarten inherited this idea through Wolff (DMet §§599,712). 140 Med. §66. 141 Cf. Leibniz, “Monadology” §63, p. 221. Koller - 28 In claiming that beauty is the perfection of phenomenon,142 Baumgarten rehabilitated the Leibnizian idea of the phenomena bene fundata which had been downplayed by Wolff. According to this idea, observable surface features143 represent underlying metaphysical features to us, although imperfectly and confusedly.144 In such a phenomenon there is therefore truth mixed with falsity, something Baumgarten recognizes is true of the way beautiful objects represent the world. Not everything about them turns out to accurately reflect the world, especially upon close examination, but they do represent the world to some extent and derive their perfection from that very quality.145 Wolff does not seem to have approved of this idea. In the key passages explicating his representational conception of perfection, Wolff claims that sense cognitions accurately represent the world only insofar as they distinguish shape, size, and motion, because the parts of the world (insofar as they are composite) have only those properties to distinguish them in themselves.146 Thus only content which I resolve into shape, size, and motion is representative of the way the world is; the rest is merely confused and false. This doctrine amounts to a denial of the representational value of phenomena bene fundata, instead insisting that a cognition is either true and representational or false, and assigning zero representational value, rather than limited but significant representational value, to anything other than distinct spatio-temporal cognition of composites. Baumgarten, by contrast, writes that “we do not declare that whatever can induce a kind of falsity for any reason is to be 142 Met. §662. Leibniz usually had time and space in mind but the same concept can be easily extended to other ideas. 144 Importantly, Baumgarten’s use of “phenomenon” in his definition of beauty does not indicate the later Kantian distinction in kind between noumena and phenomena. 145 The truth of a cognition is its correspondence with reality and a matter of degree, Met. §515. 146 DMet. §§770-771,823-826. From §824, “Insofar as [sensations] have distinctness, they represent things as they are; insofar as they are confused, the things are represented other than according to their true properties.” 143 Koller - 29 eliminated.”147 I believe Wolff’s failure to generalize the representational conception of perfection, as well as his predilection toward architecture, may be explained by this Cartesian prejudice against phenomena. But Baumgarten’s return to Leibniz appears more a shift in attitude than a fundamental shift in doctrine.148 Part 4: The value of the sensible cognition of beauty As we have seen, Baumgarten defines beauty as “the perfection of sensible cognition, as such [qua talis].” As many have already noticed, the “as such” indicates that Baumgarten thinks there is something about sense cognition that is of particular interest and value—something important which intellectual cognition lacks. But this raises a serious question, given the overall interpretation I have been urging. If beauty is based on universal principles which are in principle accessible to intellectual cognition, and if sense cognition involves confusion and at least some falsity, what is the value of the sensible cognition of beauty? In other words, given that the superior and inferior faculties have the same object, why should we bother with the inferior faculty and beauty at all? According to Wolff, it is just an empirical fact about human beings that we feel pleasure only from the confused intuition of a whole, and not from a distinct comparison of the parts with the laws to which they ought to conform.149 Since pleasure for Wolff is intimately connected to 147 Aes. §561. Guyer claims that Baumgarten also innovated by making the subject’s reflexive observation of her own powers of sensibility a new source of pleasure. “The satisfaction of [our] mental powers summed up in the analogon rationis is a source of pleasure in its own right” (SEP); Hammermeister, p. 11 and Schweizer, p. 40 make similar claims. However, once we see that aim of sensibility, just like intellect, is to represent truths about the world, this idea is no longer original. Wolff had already written at length about the pleasure we receive by reflexively perceiving our cognizing of truth, even explicitly connecting this to beauty (Psy. §§532,536,550; HSM §§4,8). 149 “Certainly everyone knows that agreement with laws cannot be perceived except confusedly… for it does not seem to be able to happen that the laws [of architecture] are applied by distinct ratiocination to those [elements] which are observed, nor [does it happen that] determinations abstracted from the building and related to the laws are judged to be the same” (Psy. §536). 148 Koller - 30 his virtue ethics as a force which moves the will, it is ethically important that we cultivate our senses to perceive true, rather than apparent beauty.150 But this is ethical, not cognitive value. Wolff’s examples of beauty show that he has a dim view of their cognitive value. Each of his examples involves a principle of perfection which either could be better grasped distinctly, like the similarity of a picture to its prototype, or it involves a simplicity which was thought to be suitable for the weak powers of the senses, like whole number proportions in architecture. In this way Wolff allows sense and the sensible apprehension of beauty no added cognitive value as such – there is nothing to be gained cognitively in apprehending beauty through sense rather than intellect.151 In this way, Wolffian sense really is a much inferior shadow of the intellect. Cassirer attributes a very similar view to Baumgarten, claiming that he allotted to his new aesthetics merely the task of providing concrete examples of abstract, purely intellectual principles, so that sense can help us feel the force of general truths through examples, but not grasp and understand them.152 In this Cassirer is incorrect. Baumgarten would not deny that sense cognition has both ethical value and instrumental value for the intellect,153 but he went beyond Wolff in claiming that it also has its own cognitive value which is exemplified in the sensible cognition of beauty. In order to understand this new value, we must go back to his early division of clarity into intensive and extensive clarity. Intensive clarity is “greater clarity of clear notes,”154 which is the same as distinctness. Extensive clarity is “the clarity of notes in great number”,155 i.e. the number of notes which the clear perception encompasses, without regard how clearly or distinctly those 150 See the example of sweets at Psy. §550. Leibniz comes very close to expressing the same view, “Principles of Nature and Grace” §17, p. 212. 152 Cassirer, pp. 126-127. 153 Aes. §3. 154 Met. §531; cf. Med. §16 where this term is first introduced. 155 Ibid. 151 Koller - 31 notes are perceived. It should be borne in mind that in a clear but confused perception, the notes perceived in fact sufficiently determine the perceiver to clearly perception of the whole, even if she is not conscious of or attending to the notes themselves. Because all of the notes of a thing are determined through universal laws, and truth is conformity with universal laws, a perception which is extensively clearer than another encompasses more perfection, all things being equal, even if we have less insight into this perfection.156 Now, although Wolff did not explicitly distinguish between extensive and intensive clarity, he had already recognized that cognitions which include more content are, all else being equal, more perfect than those including less.157 But Baumgarten noticed something important Wolff had not: that there is a psychological tradeoff between intensive and extensive clarity. As the mind strives after one, it loses its grip on the other. The psychological mechanism of this is simple and highly plausible: it is attention, and the old Wolffian principle that by attending one thing more clearly than others, the others are obscured. In order to perceive something more intensively clearly, I need to attend more closely to its notes, but this tends to obscure the whole and reduce the total amount that is clearly perceived in the thing. In order to perceive something more extensively clearly, I must focus more on the whole, which obscures for me any penetrating insight into some particular part.158 According to Baumgarten, it is extensive clarity of representation, at which the poet or artist ought primarily to aim; she ought to prioritize 156 Ibid. DMet. §208. This observation is noticeably downplayed and neglected in his writings; Wolff tends to focus his attention almost entirely on what Baumgarten calls “intensive clarity.” 158 Baumgarten’s most explicit statement that there is an unavoidable tradeoff is put in terms of material and formal perfection (Aes. §560). However, the same fact follows directly from Baumgarten’s account of attention and abstraction. And, the reason he gives for the tradeoff between formal and material perfection – the need to abstract from the whole – is explained in the Metaphysica in terms of clarity and attention (§§634-636). 157 Koller - 32 material perfection over the formal.159 The scientist and philosopher, by contrast, ought to aim primarily at intensive clarity or distinctness, and must more carefully preserve the formal perfection of cognition. So, there is a cognitive advantage in representing the world aesthetically rather than intellectually: Aesthetic representation allows us to depict more truths and more perfection of more complex phenomena. These truths and perfections cannot be presented in their full detail or full rigor because our cognitive faculties are not capable of it. Baumgarten is emphasizing something like our ability to grasp more complex information from a chart than a long series of numbers, even though we apprehend the information less precisely—though of course applied more widely to truths about human nature and the world. This is the true reason that the representation of individuals is highly poetic: not because they contain something irreducibly unique, but their extreme complexity – their being determined in every respect – makes them particularly appropriate for the aesthetic mode of cognition, and particularly ill-suited to the logical and scientific mode, which can only pick out (at most) a few determinations of an individual at a time.160 Baumgarten’s insight about extensive clarity is a symptom of another shift in attitude from Wolff. For Wolff the fundamental unit of knowledge was distinct cognition. After defining a clear but confused perception as one which is not distinct, Wolff struggled to give a positive account of clear cognition, finally settling on this: “We are no less conscious to ourselves of our power of distinguishing many perceivables in one perceiveable, than [we are] of our impotence for doing the same; indeed we are even more conscious to ourselves of the impotence… Thus the notion of impotence involves the notion of 159 That is, the aesthetician should aim not just at a lot of notes, but at a lot of notes which constitute perfection. 160 This general observation has been made by many commentators (e.g., Baeumler, p. 224), but always under the assumption that aesthetic and intellectual cognition are different in kind. As I have shown, the point goes through precisely because aesthetic and intellectual cognition differ only quantitatively. Koller - 33 frustrated striving, and thus something maximally positive. That impotence is… a specific positive difference, thus it can serve in defining [clear but] confused perception, even if distinct perception has not yet been defined.”161 In other words, what is positive about clear cognition for Wolff is not the clarity itself but the fact that the perception involves the recognition of a lack, something which can be remedied only through further analysis aimed at distinctness. Baumgarten, by contrast, takes clear, not distinct cognition as the basic element from which all the knowledge we have is built up. He does not hesitate to define distinctness directly in terms of clarity.162 Distinctness is just intensive clarity, which is “clarity of clear notes.” Confusion is its negation, and obscurity is the negation of firstorder clarity. Thus the whole cognitive scale can be represented purely in terms of clarity and its negation, which a fact Baumgarten explicitly codified in his concepts of intensive and extensive clarity.163 Baumgarten’s insistence on a science of clear, but confused ideas has led to two related misinterpretations. First, it has been suggested that by granting cognitive value to clear but confused perceptions, Baumgarten gives obscurity for its own sake a place in aesthetics.164 Although it is true that a clear but confused perception contains something perceived obscurely – 161 Psy. §39. Met. §522. 163 Like Wolff, Baumgarten recognized that nearly all of our representations are confused, or merely clear, to some degree. But rather than lamenting this as a mere defect, he believed we needed to learn to use our powers of sense to the degree we are able in order to acquire what truths we can: “The distance between the aestheticological truth accessible to men and the greatest logical truth, which is only accessible to omniscience, is infinitely large on account of the malum metaphysicum. And for this reason a healthy mind will not reach a cognition which he knows is not possible for him, even with the most loving striving; but at the same time he will not despise every cognition as soon as he recognizes that not everything can be accessible to him: so he ought to be content with an infinitely small part of the highest logical truth in the widest sense [i.e. comprising both strictly logical and aesthetic truth] that he can arrive at” (Aes. §557). Baumgarten recognized that we unavoidably encounter the world primarily sensibly, not intellectually. But this did not prevent him from continuing to advocate for the same cognitive virtues championed by Wolff. 164 Gregor, pp. 367-370. To be fair, Gregor does say she does not intend to make Baumgarten “an advocate of obscurity for its own sake” (p. 368), but it is hard to square this statement with her subsequent account of the value of obscurity. 162 Koller - 34 namely the underlying notes – it does not follow that Baumgarten is advocating obscurity for its own sake. Clarity is not merely a positive degree of distinctness mixed with obscurity and confusion. For Baumgarten clarity is the fundamental and primary positive unit of cognition in its own right. Obscurity is its negation, and something Baumgarten specifically excludes from aesthetics.165 He is only interested in aesthetic cognition insofar as it grasps truth, not falsity. “Confused thinking is not recommended, except for the improvement of [all] cognition, insofar as something confused is necessarily admixed in thought.”166,167 Second, Baumgarten is thought to exclude distinct perceptions and abstracta from aesthetics altogether. As it turns out, there is an opposition of sorts between intellectual or abstract thinking and aesthetic, sensible thinking. It is a fundamental psychological opposition based on a limitation in the total amount of notes we can cognize at once: we may cognize a wider expanse of notes clearly but confusedly, or have greater insight into smaller number of notes, by striving for distinctness, both not both at once to an arbitrary degree. Nonetheless, Baumgarten emphasized that there is a wide swath of overlap between clear but and confused and distinct, even in the same cognition. Even a simple cognition such as a visual impression is distinct to some degree, for distinctness only requires that we be able to recognize the parts so that we could explain what makes the whole what it is. Only a uniform and unchanging color patch that occupied the entire visual field would have no distinctness whatsoever. In fact, Baumgarten thinks that distinctness is a virtue in art no less than in science, as long as it does not 165 Aes. §§15-16,23. Aes. §7. Cf. Wolff, Psy. §313. Baumgarten does grant a specific kind of obscurity an instrumental value in drawing our attention to an unfamiliar object and engendering the feeling of wonder (Med. §46). However he also insists that this obscurity as such is not poetic (Med. §47). 167 Baumgarten also excludes obscurity from the sublime (Aes. §303), which he understands as a species of beauty (Aes. §§281,319) that is particularly moving on account of the greatness of the represented object (Aes. §§305-306). Cf. Burke, who around the same time wrote that beauty and the sublime differ in kind and that obscurity is essential to the latter (Enquiry 2.3, 3.27). Thanks to Fred Beiser for drawing my attention to this important contrast. 166 Koller - 35 interfere with extensive clarity. Distinctness is a general cognitive virtue which also applies to aesthetic cognition,168 and it ought only be sacrificed for a greater reason, namely that doing so allows one to represent more material perfection. Thus the dictum that the artist should strive primarily for extensively clear representations of maximum material perfection comes into play only insofar a tradeoff must be made. Much the same goes for abstract thinking. While Baumgarten does hold that all things being equal, individuals are most worthy of poetic representation because they contain the most notes, he recognizes that it is often appropriate to depict abstracta aesthetically as well. Relatively inferior abstracta, being highly determined themselves, occupy a middle ground between fully determinate individuals and highly abstract metaphysical concepts. These are also suitable for aesthetic representation.169 Conclusion In conclusion, Baumgarten’s contribution to aesthetics does not involve a fundamental shift away from Wolffian rationalism. Rather, it encompasses two highly significant shifts of emphasis, as well as a significant elaboration of the consequences which Wolff had failed to draw out. The first shift involved dropping the teleological conception of the perfection of beauty in favor of a purely representational conception. The second shift involved showing the intrinsic cognitive value of extensive clarity, at least where it can only be gained with the loss of intensive clarity. These modifications to the Wolffian account yield an aesthetics which is neither excessively abstract nor obviously sterile, and certainly worthy of further attention. 168 169 Aes. §558. Aes. §566,570. Koller - 36 References Note: All translations from Latin and German are my own, except passages from Baumgarten’s Meditationes (Aschenbrenner-Holther translation), Wolff’s Discursus Praeliminaris (Blackwell translation), and Kant’s Kritik der reinen Vernunft (Guyer-Wood translation). Baeumler, Alfred Kants Kritik der Urteilskraft, ihre Geschichte und Systematik. Halle: M. Niemeyer, 1923 Baumgarten, Alexander Aesthetica Frankfurt, 1750. Hildesheim: Georg Olms Verlagsbuchhandlung, 1961. ----- Metaphysica Halle: Hemmerde, 1779. Editio VII. Reprint: Hildesheim: Olms, 1963. ----- Reflections on poetry tr. Aschenbrenner and Holther. Berkeley: University of California Press, 1954. Cassirer, Ernst Freiheit und Form. Darmstadt: Wissenschaftliche Buchgesellschaft, 1961. Croce, Benedetto Aesthetic as science of expression and general linguistic. London: MacMillan and Co., 1922 Gregor, Mary “Baumgarten’s Aesthetica” in Review of Metaphysics 37 (Dec. 1983): 357-385 Gross, Steffen Felix Aestheticus: Die Ästhetik als Lehre vom Menschen. Würzburg: Königshausen & Neumann, 2001 ----- “The Neglected Programme of Aesthetics” in British Journal of Aesthetics vol. 42 no. 4, Oct. 2002 Guyer, Paul “18th-century German Aesthetics,” Stanford Encyclopedia of Philosophy, http://plato.stanford.edu/entries/aesthetics-18th-german/ Hammermeister, Kai The German Aesthetic Tradition. New York : Cambridge University Press, 2002 Herder, Johann Gottfried Werke in zehn Bänden Vol. 1. Frankfurt: Deutscher Klassiker Verlag, 1985 Kant, Immanuel Critique of Pure Reason tr. Paul Guyer and Allen Wood. New York: Cambridge University Press, 2000 Leibniz, G.W. Philosophical Essays ed. Roger Ariew and Daniel Garber. Indianapolis: Hackett, 1989 Poppe, Bernhard Alexander Baumgarten: Seine Bedeutung und Stellung in der LeibnizWolffischen Philosophie und seine Beziehungen zu Kant. Nebst Veröffentlichung einer bisher unbekannten Handschrift der Ästhetik Baumgartens. Leipzig: Robert Noske, 1907 Schweizer, Hans Rudolf Ästhetik als Philosophie der sinnlichen Erkenntnis. Basel: Schwabe, 1972 Wessell, Leonard P. Jr. “Alexander Baumgarten’s Contribution to the Development of Aesthetics” in The Journal of Aesthetics and Art Criticism, Vol. 30 No. 3 (Spring 1972): 333-342 Wolff, Christian, Gesammelte Werke, eds. Jean École, J.E. Hofmann, and H.W. Arndt. Hildesheim: Olms, 1965. ----- Preliminary Discourse on Philosophy in General, ed. Richard Blackwell. Indianapolis: Bobbs-Merrill, 1963. Koller - 37 Abbreviations used in citation: Baumgarten Aes. = Aesthetica Handschrift = Notes from Baumgarten’s Aesthetica lectures, in Poppe (1907) Med. = Reflections on Poetry Met. = Metaphysica Kant KrV = Critique of Pure Reason Wolff (from Gesammelte Werke) Disc. = Preliminary Discourse on Philosophy in General DMet. = Vernunftige Gedanken (2): Deutsche Metaphysik EAC = Elementae Architecturae Civilis HSM = Horae Subsecivae Marburgenses, Vol 1., “Trimestre Aestivum” Log. = Philosophia Rationalis sive Logica Pars I. Ont. = Philosophia Prima sive Ontologia Psy. = Psychologia Empirica Koller - 38