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CHAPTER 2

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CHAPTER 2Logic1. Logic a declarative sentence that is eithertrue (denoted either T or 1) orfalse (denoted either F or 0).Notation: Variables are used to represent propositions. The most common variablesused arep, q, has been studied since the classical Greek period ( 600-300BC). The Greeks,most notably Thales, were the first to formally analyze the reasoning process. Aristo-tle (384-322BC), the father of logic , and many other Greeks searched for universaltruths that were irrefutable. A second great period for logic came with the use of sym-bols to simplify complicated logical arguments.

p;q;r;s;:::, and connectives or logical operators. A logical operator is either a unary operator, meaning it is applied to only a single proposition; or a binary operator, meaning it is applied to two propositions. Truth tables are used to exhibit the rela-tionship between the truth values of a compound proposition and the truth values of

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