MATH 110 Lecture Notes - Lecture 1: Logical Connective
Document Summary
A statement is a declarative sentence that is true or false; they are represented by lowercase letters. A compound statement consists of two or more simple statements, joined with a logical connective. Logical connective: and, or, not, if/then; any word or symbol used to join two or more statements. My niece is 19 years old and my nephew is 15. The card is red or the card is black. Both of these can be a true/false statement and have a connector. Quantifiers are words that assign a given property to certain objects, Some things or at least one is at least one thing has this property. The negation of a statement is a new statement that claims the opposite of the original. Letters like p, q, and r are often used with logical connectives to represent compound statements. Let p represent the statement fido is a good dog. Let q represent the statement fido needs a bath.