LOGIC AND REASONING Table of Contents 01 02 03 04 What is logic and reasoning? Who were the major contributors? What are the reallife applications? Conclusion Real Life applications of logic and reasoning will be looked at. Everything stated in presentation will be summarized. Logic and reasoning will be defined. The major contributors towards logic and reasoning will be recognized and what each of them did will be stated. Table of Contents 01 02 03 04 What is logic and reasoning? Who were the major contributors? What are the reallife applications? Conclusion Real Life applications of logic and reasoning will be looked at. Everything stated in presentation will be summarized. Logic and reasoning will be defined. The major contributors towards logic and reasoning will be recognized and what each of them did will be stated. Table of Contents 01 02 03 04 What is logic and reasoning? Who were the major contributors? What are the reallife applications? Conclusion Real Life applications of logic and reasoning will be looked at. Everything stated in presentation will be summarized. Logic and reasoning will be defined. The major contributors towards logic and reasoning will be recognized and what each of them did will be stated. Table of Contents 01 02 03 04 What is logic and reasoning? Who were the major contributors? What are the reallife applications? Conclusion Real Life applications of logic and reasoning will be looked at. Everything stated in presentation will be summarized. Logic and reasoning will be defined. The major contributors towards logic and reasoning will be recognized and what each of them did will be stated. 01 WHAT IS LOGIC AND REASONING? Logic is the study of Truth and how we can obtain universal Truths through mathematical deduction. It is the most basic language of mathematics, and the underlying principle of proof. Reasoning is enlightened by logic. In mathematics, logic and reasoning is used to determine the validity of a proposition or mathematical statement by assigning it with a truth value, ‘true’ or ‘false’. It involves analyzing these propositions to construct valid arguments and prove theorems and plays an important role in helping us understand how different statements relate to each other and how combining them using logical rules leads to valid conclusions. 02 MAJOR CONTRIBUTORS Bernhard Bolzano (1781-1848) He claimed that you can tell that an argument from premises to a conclusion is logically valid if and only if it never proceeds from truth to falsity no matter how you change the nonlogical vocabulary in the argument. which we know as if p then q (p-->q). George Boole (1781-1848) • Introduced the concepts of negation, conjunction, and disjunction. • Created Boolean laws/Boolean algebra through these concepts, which are used as the basis of logic gates. Giuseppe Peano (1858-1932) He brought forth the concept of axioms (a statement or proposition which is regarded as being established, accepted, or self-evidently true.) Georg Cantor (1845-1918) He introduced the concept of finite and infinite sets. Ernst Zermelo (1871-1953) He introduced set theory. 03 REAL LIFE APPLICATIONS LOGIC GATES CONJUNCTION (AND gate) being used for a security alarm system. DISJUNCTION (OR gate) being used for a doorbell system. NEGATION (NOT gate) being used for a central heating system. Logic gates are also used in electronics such as phones, computers, digital watches as well as calculators. Here, a segment of the number 8 being displayed on the screen of a calculator is controlled by a logic gate consisting of a negation (NOT gate) and three conjunctions (AND gates). CONCLUSION • In conclusion, logic and reasoning is necessary because it determine the validity of propositions by assigning a truth value, analyzing them to construct valid arguments and prove theorems, and combining them for valid conclusions. • The major contributors towards logic and reasoning include George Boole, inventor of the Boolean algebra, Bernhard Bolzano, Giuseppe Peano, Ernst Zermelo, & Georg Cantor. • Real life applications of logic and reasoning include the use of logic gates in systems such as doorbells and alarms as well as being used in numerous electronics and devices such as phones, computers, digital watches and calculators. THE END!
