MGF 1106 Lecture Notes - Logical Biconditional, Contraposition
Document Summary
Statement- a sentence that is either true or false: assign each statement a letter; usually p, q, or r, simple statement- one letter denoting a statement, compound statement- combining statements by using connectives. Symbol and or if, then if and only if. = not, negates the original statement: ex. p= the sky is blue. Using connectives: ex. p= it"s windy. q= it rained. r= it was cold, (p q) r. It was windy or it did not rain, and it was not cold: p ( q r) It was windy, or it did not rain and it was not cold: p r. It was not windy and it was cold: (p r) It is not true that it was windy and it was cold. Quantifiers- all, some, none, etc: ex. p= all cats are black. There are some cats which are not black. Truth tables: 2number of symbols = how many rows p.