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Math 127: Propositional Logic

Math 127: Propositional LogicMary Radcliffe1 What is a proposition?The fundamentals of proofs are based in an understanding of Logic . In order to consider and provemathematical statements, we first turn our attention to understanding the structure of these statements,how to manipulate them, and how to know if they are , of course, we need a formal understanding of what the word statement a statement to which it is possible to assign a value of either true or the statementMary Radcliffe is my 21-127 is a proposition. The statement has a truth value: in particular, if you are enrolled in thisclass, it is true, and if you are not, it is false. In any case, provided that we know who the me isthat has issued the statement, we can assign it a truth the statementMary Radcliffe has two is also a proposition.

understanding of propositional logic. 2.3 Negation Our last basic logical operator is negation, a fancy way to say \not." De nition 5. Let p be a proposition. The negation of p, denoted :p, is a proposition that is true when p is false, and false when p is true. This operator is fairly straightforward: it simply takes the opposite truth value ...

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