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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.

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 its component propositions. 1.4. Negation. Negation Operator, \not", has symbol :.

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