'Direct proofs' presentation slideshows

Discrete Mathematics CS 2610

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Methods of Proof

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Introduction to Proofs

Introduction to Proofs. Section 1.7. Section Summary. Mathematical Proofs Forms of Theorems Direct Proofs Indirect Proofs Proof of the Contrapositive Proof by Contradiction. Proofs of Mathematical Statements. A proof is a valid argument that establishes the truth of a statement.

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Daily Announcements

Daily Announcements. CS/APMA 202 Spring 2005 Aaron Bloomfield. Tuesday, 25 January 2005. HW 1: assigned today, due next Tue (1 Feb) Rosen, section 1.1: 18, 48, 60 HW 2: assigned Thu, due following Thu (3 Feb) Rosen, section 1.2: 19, 35, 39, 50

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CSci 2011 Discrete Mathematics Lecture 5

CSci 2011 Discrete Mathematics Lecture 5. Admin. Groupwork 3 is due on Sep 28 th . Homework 2 is due on Sep 30 th . Before class starts Quiz 1: Sep 23 rd . 1 page cheat sheet is allowed. E-mail email to csci2011-help@cselabs.umn.edu Put [2011] in front. Check class web site

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CS 2210:0001 Discrete Structures Logic and Proof

CS 2210:0001 Discrete Structures Logic and Proof. Fall 2017 Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this: Is x > 3 a proposition? No, it is a predicate. Call it P(x ). P(4) is true, but P(1) is false. P(x ) will create a proposition

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22C:19 Discrete Structures Logic and Proof

22C:19 Discrete Structures Logic and Proof. Spring 2014 Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this: Is x > 3 a proposition? No, it is a predicate. Call it P(x ). P(4) is true, but P(1) is false. P(x ) will create a proposition

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L03: Rules of Inference & Basic Proof Technique

L03: Rules of Inference & Basic Proof Technique. Objectives Rules of Inference Rules of Inference for Propositional Logic Rules of Inference for Predicate Logic Basic Proof Technique Some Terminology Direct Proof Proof by Contraposition Proof by Contradiction.

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Discrete Mathematics: Rules of Inference and Proofs

Discrete Mathematics: Rules of Inference and Proofs. Section Summary. Inference Rules for Propositional Logic Using Rules of Inference to Build Arguments Rules of Inference for Quantified Statements Building Arguments for Quantified Statements Mathematical Proofs Forms of Theorems

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Discrete Mathematics Lecture 4

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CSci 2011 Discrete Mathematics Lecture 6

CSci 2011 Discrete Mathematics Lecture 6. Admin. Groupwork 3 is due on Sep 28 th . Homework 2 is due on Sep 30 th . Before class starts Quiz 1: Sep 23 rd . 1 page cheat sheet is allowed. E-mail email to csci2011-help@cselabs.umn.edu Put [2011] in front. Check class web site

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Lecture 10 Methods of Proof

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Chapter 2 Final Review The Nature of Deductive Reasoning

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Big Trouble in Little Geometry

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Do Now:

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