PPT-Deductive Verification Mooly

Sagiv Slides from Zvonimir Rakamaric 2 FirstOrder Logic A formal notation for mathematics with expressions involving Propositional symbols Predicates Functions and constant symbols. 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. Deductive reasoning. , also . deductive logic. or . logical deduction. or, informally, . ". top-down. " logic. , is the process of . reasoning. from one or more . statements. (premises) to reach a logically certain conclusion. It differs from . 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:. A Framework for Audience Analysis. Background. Logic has been a formal academic discipline for almost 2,500 years. The 4th century B.C.E. Greek philosopher Aristotle first systematized formal logic, and university logic courses teach Aristotelian logic to this day. For much of western history, logic was one of the main branches of schooling (the classical curriculum consisted of grammar, logic and rhetoric). With the growth of more specialized disciplines and wider curricula in the 20th century, formal logic got lost in the shuffle. In its place, philosophers began formulating courses in what we now call critical thinking, or informal logic. Formal rules and the reduction of sentences to things like. 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.. Solution. We know one (A, B or C) is defective by .1…so….. Weigh TWO ball-bearings . from A and . ONE from . B. . If . the combined weight is three ounces, then you know that C is defective. . If . Thinking Mathematically. Objectives. Understand mathematical reasoning . Distinguish between inductive and deductive reasoning . Identify . arithmetic and geometric sequences . Thinking Mathematically. Induction vs Deduction. Fogelin. and . Sinnott. -Armstrong describe the difference between induction and deduction as follows:. Deductive arguments are intended to be valid. Inductive arguments are not intended to be valid but still to provide a reason for the conclusion. This chapter will cover. Reality assumptions. Patterns of deductive reasoning. Using deductive reasoning to test logic, discover truth, make decisions, avoid stereotyping, and understand argument.. Verification is confirmation of eligibility for free and reduced price meals under NSLP and SBP. . Verification is . not . required for CEP schools or DC students. . Verification activities begin on Oct. 1 and must be concluded by November. Verification Tracking Flag. 2016-2017. 2017-2018. V1. Standard Verification Group. Standard Verification Group. V4. Custom Verification (HS Completion, Identity, SNAP, Child Support Paid). CT 101. Dr. Bowman. Deductive argument. A . deductive argument.  is an argument that is intended by the arguer to be deductively valid, that is, to provide a guarantee of the truth of the conclusion provided that the argument's premises are true. . Note-Taking Guide. I suggest only writing down things written in . red. Inductive vs. Deductive Reasoning. What was our definition of inductive reasoning (section 2.1)?. Process of looking for patterns, making a conjecture, and then attempting to prove the conjecture true or false.