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Symbols of Logic -LOGIC- Math's logic is considered the science of reasoning and demonstration. Logic is especially important in mathematics and philosophy, but is also used on our dally routine without even noticing. History of Logical Symbols A simple statement is one that does not contain any other statement as a part. We will use the lowercase letters, p, q, r, ..., as symbols for simple statements. Simple statements : p ‘’p is true’’ ~p ‘’p is false’’ assertion negation Ex.: p: Sun is a star ( T ) ~p: Sun isn’t a star ( F ) In conclusion two denies equals to an affirmation. Ex: ~(~p) =p. A truth table is a complete list of the possible truth values of a statement. A truth table is a mathematical table used in logic specifically in connection with Boolean algebra, boolean functions, and propositional calculus. . Compounds and connectives :