CSC165H1 Lecture 9: lecture 9
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CSC165H1 Full Course Notes
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From last time: e. x let"s translate a math statement into symbols. Notice: in a strong way, this is a quite different way to symbolize it! A mathematical statement has a truth value: it is either true(t) or false(f). If a statement is built from elementary statement and connectives, its truth value will be determined by the truth value of the elementary statements. This can be summerized in a truth table: If p and q are both true, then r will be true as well. If it"s raining(p), then the temperature is greater 1 (q) . This would be when p is true( it rains), and q is false( the temperature is 1 all other cases, the statement will be ture. or below). X p( x ) is true if and only if p( x) is true if and only if p( x) is true for any x. is true for some x.
