toc - Course notes for CSC 165 H: Mathematical Expression...

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Unformatted text preview: Course notes for CSC 165 H: Mathematical Expression and Reasoning for Computer Science Gary Baumgartner and Danny Heap and Richard Krueger (with revisions by Fran cois Pitt) Winter 2009 2 Contents 1 Introduction 5 1.1 What's csc165 about? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 Human versus technical communication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.3 Problem-solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 Inspirational puzzles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2 Quantification, implication, and symbols 13 2.1 Universal quanti cation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.2 Existential quanti cation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.3 Properties, sets, and quanti cation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.4 Sentences, statements, and predicates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.5 Implications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.6 More symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.7 Implication in everyday English . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3 Logical Connectives 23 3.1 Universal quanti cation and implication again . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.2 Vacuous truth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Vacuous truth ....
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This note was uploaded on 01/19/2010 for the course COMPUTER S CSC165 taught by Professor Pitt during the Winter '09 term at University of Toronto- Toronto.

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toc - Course notes for CSC 165 H: Mathematical Expression...

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