PHIL 249 Lecture Notes - Lecture 1: Complete Graph, Modular Arithmetic, Complete Bipartite Graph

• School: University of Calgary
• Department: Philosophy
• Course: PHIL 249
• Professor: Barbara Butler

Document Summary

A proof is an explanation of why a statement is true. What we must do in a proof depends on the statement. Statement is a sentence which is either true or false. X = 2 is not a statement because it does not tell you whether it"s true or false. He is handsome is not a statement because we don"t know who is he. All male students in math 271 are handsome. is a statement. There is a student in math 271 who is handsome. is a statement. For all real numbers x, x = 2. X = 2 is just one example. If you want to proof something is false, proof that the opposite is true. Opposite: there exists a real number x such that. Is true only when both p and q are true, otherwise it"s false. Is false only when both p and q are false, otherwise it"s true.