MATH-UA 121 Lecture Notes - Lecture 14: Logical Biconditional, Logical Form, Contraposition
22 Sep 2016
School
Department
Course
Professor
Document Summary
A statement is a sentence that has a truth value, either true or false. Single letters are used to represent statements. Two statements with the same truth values are logically equivalent statements. Depending on the parody of ~p (amount of not ), the result will be logically equivalent to p. for example, ~(~p) is logically equivalent to p. (this is also known as the law of double negation. ) I study and i pass. is called a conjunction. Symbol: p ^ q ( p and q ) A conjunction is only true if both statements are true. I study or i pass. is called a disjunction. A disjunction is only false if both statements are false. Compound statements- consists of two or more statements and connectives. (such as and or or. ) If p then q is a conditional statement. Symbol: p q ( if p then q / p implies q )
