PPT-5.6 Deductive Proofs

Introduction When talking about deductive proofs we use a lot of hoity toity Latin words Just for fun Here are some Latin phrases that you may recall E Pluribus unum Cogito ergo sum. In a deductive argument the premises are intended to provide support for the conclusion that is so strong that if the premises are true it would be impossible for the conclusion to be false An inductive argument is an argument in which it is thought NINE SYNTACTIC FORMULAS OF COMLIMENTS. (. Wolfson. & Manes, 1981.Based on their corpus of 686 naturally occurring compliments in American English). NP {is, looks} (really) ADJ (PP). I (really) {like, love} NP. It’s Logical. What is Logic?. Logic. – The science of correct reasoning.. Reasoning. . – The drawing of inferences or conclusions from known or assumed facts. .. There are two main types of reasoning:. Deductive Reasoning . …(sometimes called Logical Reasoning) is the process of reasoning logically from given statements or facts to a conclusion. Law of Detachment. If . p. . q. is true . and . First points:. This is written for mathematical proofs. Unless you are doing math econ, formal game theory, or statistical/econometric development (not application) you may not do formal mathematical proofs.. VS. . Inductive . Reasoning. Aristotle. . (Ancient Greek Philosopher). Start with a . premise. Premises lead to a . certain. conclusion. DEDUCTIVE REASONING. Sir Francis Bacon. (17. th. Century English Philosopher). Sub; legal method and legal reasoning. NITIN RANA. PARIKSHIT GAUR. PURNENDU . PuLKITPAL. . SINGH. RISHAB RAJ. RITIKA GAUTAM. Group MEMBERS ARE -. Deductive reasoning is sometimes referred to as top-down logic. Its counterpart, inductive reasoning, is sometimes referred to as bottom-up logic. Where deductive reasoning proceeds from general premises to a specific conclusion, inductive reasoning proceeds from specific premises to a general conclusion. . VS. . Inductive . Reasoning. Aristotle. . (Ancient Greek Philosopher). Start with a . premise. Premises lead to a . certain. conclusion. DEDUCTIVE REASONING. Sir Francis Bacon. (17. th. Century English Philosopher). A deductive argument is one whose . premises. are claimed to . provide conclusive grounds for the truth . of its . conclusion. .. If a deductive argument is . valid. , it is . impossible for its premises to be true without its conclusion also being true.. DPLL(T)-Based SMT Solvers. Guy . Katz. , Clark Barrett, . Cesare . Tinelli. , Andrew Reynolds, Liana . Hadarean. Stanford . University. The University. of Iowa. Synopsys. Producing Checkable Artifacts. 1. NP-Completeness . Proofs. Presentation for use with the textbook, . Algorithm Design and Applications. , by M. T. Goodrich and R. Tamassia, Wiley, 2015. © 2015 Goodrich and Tamassia . NP-Completeness Proofs. 1.1 Propositional Logic. 1.2 Propositional Equivalences. 1.3 Predicates and Quantifiers. 1.4 Nested Quantifiers. 1.5 Rules of Inference. 1.6 Introduction to Proofs. 1.7 Proof Methods and Strategy. To prove an argument is valid or the conclusion follows . Mimi . Opkins. CECS 100. Fall 2011. Problem Solving. Logic. – The science of correct reasoning.. Reasoning. – The drawing of inferences or conclusions from known or assumed facts.. When solving a problem, one must understand the question, gather all pertinent facts, analyze the problem i.e. compare with previous problems (note similarities and differences), perhaps use pictures or formulas to solve the problem.. Validity/Soundness Logical . Fallicies. What is the difference between these two arguments?. I am your teacher.. Today is either a weekday or a weekend day.. Today is not a weekend day.. Today is a weekday..