College Math

College Math Study Guide

Some of the basic logic notations and their symbols are given in the table below. Symbol Read Example Read as ~ Not ~ A A is not true A is false ∧ And A ∧ B A and B Both A and B are true ∨ Or A ∨ B Implies A → B If A then B ↔ If and only if A ↔ B A bi- implies B Let us consider an example to understand statements and connectives. Suppose we have two statements: a = Your bracelet has diamonds b = I like its design We can use connective and (∧) and write as: Your bracelet has diamonds and I like its design = a ∧ b 6.2 Negation It should further be noted that the symbol NOT (~) is not a connective as it turns a statement in negation. Hence, when we say that: A means A is true (assertion) ~ A means A is not true (negation) A or B Either A is true or B is true, or both →

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