Name ___________________ LOGIC 1. Review for Final #3 In order for a given proposition to (imply * superimply * be logically equivalent to) a second given proposition it is necessary and sufficient for the first to contain all of the information contained in the (second * second and more * second and no more). 2. In order for a given proposition to (imply * superimply * be logically equivalent to) a second given proposition it is sufficient for the first to contain all of the information contained in the (second * second and more * second and no more). 3. In order for a given proposition to (imply * superimply * be logically equivalent to) a second given proposition it is necessary for the first to contain (all * at least some) of the information contained in the (second * second and more * second and no more). 4. Given two propositions that each are (tautologous * self-contradictory), those two propositions are (logically equivalent * inconsistent * consistent * contradictory). 5. “Sheep are white or non-white” and “Kettles are black or non-black” are (tautologous * consistent * logically equivalent * contradictory) propositions. 6. “Sheep are white and non-white” and “Kettles are black and non-black” are (tautologous * consistent * logically equivalent * contradictory) propositions. 7. “Sheep are white and non-white” is (logically equivalent * contradictory) to “Kettles are (black and non-black” * black or non-black”). 8. “If Kettles are black and non-black, then sheep are white or non-white” is a (true * false) proposition. 9. (George Orwell * ‘George Orwell’ * “George Orwell”) is a (person * expression * concept * proposition). 10. With respect to Venn Diagrams, (shading * placing an ‘x’) in a territory means that (every member exists in that area * no member can exist in that area * some member exists in that area * at least one member exists in that area). 11. If a middle term occupies the (first * second) position in the (minor * major) premise, the syllogism may be in figure (1 * 2 * 3 * 4). 1 Name ___________________ LOGIC 18. Review for Final #3 For (Aristotle * Boole), the (A * O) proposition (superimplies * is logically equivalent to) the (I * O) proposition. 19. Using the (modern * traditional) square of opposition, the (A * E) proposition implies the contradictory opposite of the (A * E) proposition. 20. The (A * E) proposition, on either square, implies (the negation of * 1 ) the (A * E * I * O) proposition. 21. Jumping into a cool pool is a (necessary * sufficient * necessary and sufficient * ) cause of cooling one’s body. 22. Scoring more goals in a soccer game than an opponent is a (necessary * sufficient * necessary and sufficient * 23. ) cause of a team’s winning the soccer game. Eating at Arby’s restaurant is a (sufficient * necessary * necessary and sufficient) cause for filling one’s belly to excess. 24. Mill’s method of (residues * concomitant variation) is used when it is difficult or impossible to eliminate a suspected cause, but it is nevertheless possible to alter the suspected cause. 25. In his “(Science * Politics) and the English Language” Orwell (believes * does not believe) that the process of using poor English can be avoided. This answer choice is blank. Please number or ‘x’ it according to what the answer sequence would be given that nothing is there. For example, one choice sequence reads, “The A proposition, on either square, implies the A proposition.” 1 2