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Proof by contradiction
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1	1. Proof by contradiction Po-Shen Loh CMU Putnam Seminar, Fall Add to Reading List Source URL: www.math.cmu.edu Language: English - Date: 2012-12-05 20:42:31 Functions and mappings Calculus Mathematical analysis Limit of a function Continuous function Lebesgue integration Centroid Function Metric space Non-analytic smooth function
2	Solutions for Exercises for Propositional Logic 1. Proof by induction. 2. • A tautology: (p ∨ (¬p ∨ (q ∨ (r ∨ s)))) • A contradiction: (p ∧ (¬p ∧ (q ∧ (r ∧ s)))) Add to Reading List Source URL: www.mathsummer.philosophie.uni-muenchen.de Language: English - Date: 2014-11-26 07:17:09
3	An Innocent Investigation D. Joyce, Clark University January 2006 The beginning. Have you ever wondered why every number is either even or odd? I don’t mean to ask if you ever wondered whether every number Add to Reading List Source URL: aleph0.clarku.edu Language: English - Date: 2014-08-12 16:34:20 Mathematical logic Elementary arithmetic Mathematical induction Singly and doubly even Proof by contradiction Parity of a permutation Handshaking lemma Mathematics Mathematical proofs Parity
4	CS109A Notes for LectureThe Essence of Proof Mathematical proof is essentially persuasive prose. Like an essay, it is eective if it convinces the listener. Also like an essay, we can learn certain rhetorica Add to Reading List Source URL: infolab.stanford.edu Language: English - Date: 2008-09-19 00:57:46 Propositional calculus Rules of inference Boolean algebra Modus ponens Truth table Contraposition Proof by contradiction Vacuous truth First-order logic Logic Mathematics Mathematical logic
5	CS109B Notes for LectureTautologies Logical expressions that evaluate to TRUE for any truth-assignment. Embody reasoning principles. Add to Reading List Source URL: infolab.stanford.edu Language: English - Date: 2008-09-19 00:59:11 Mathematical logic Logical truth Boolean algebra Semantics Tautology Substitution Truth table Proof by contradiction Contradiction Logic Propositional calculus Mathematics
6	Redirecting Proofs by Contradiction Jasmin Christian Blanchette Technische Universität München, Germany Abstract This paper presents an algorithm that redirects proofs by contradiction. The input is a refutation graph, Add to Reading List Source URL: www21.in.tum.de Language: English - Date: 2013-05-17 11:36:21 Proof theory Automated theorem proving Rules of inference Mathematical proofs Sequent Natural deduction Proof by contradiction Resolution First-order logic Logic Mathematics Mathematical logic
7	Teaching Math More Effectively, Through Calculational Proofs Author(s): David Gries and Fred B. Schneider Source: The American Mathematical Monthly, Vol. 102, No. 8 (Oct., 1995), pp[removed]Published by: Mathematical As Add to Reading List Source URL: www.cs.cornell.edu Language: English - Date: 2013-08-21 10:20:02 Mathematical proofs Model theory Logic in computer science Proof theory Propositional calculus Proof by contradiction First-order logic FO Integration by substitution Mathematics Logic Mathematical logic
8	CHAPTER 3 Proof Techniques 3.1 Add to Reading List Source URL: myslu.stlawu.edu Language: English - Date: 2010-09-28 14:17:35 Mathematical logic Rules of inference Irrational number Proof by contrapositive Proof by contradiction Contraposition Prime number Direct proof If and only if Mathematics Mathematical proofs Logic
9	CHAPTER 8 Answers and Hints These pages contain answers to every exercise appearing in the book. Before Add to Reading List Source URL: myslu.stlawu.edu Language: English - Date: 2010-09-28 14:21:03 Mathematical proofs Rules of inference Quantification Vacuous truth Contraposition Proof by contrapositive Function Proof by contradiction Universal quantification Mathematics Logic Mathematical logic
10	PDF Document Add to Reading List Source URL: www.math.wustl.edu Language: English - Date: 2007-07-25 14:17:38 Proof theory Mathematical proofs Logical syntax Logical truth Theorem Pythagorean theorem Proof by contradiction Formal proof Mathematical induction Mathematics Logic Mathematical logic

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