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13 Cards in this Set

  • Front
  • Back

study of principle of correct reasoning

logic

formal statement of the meaning of a word or group of words and it could stand alone

definition

statement that can be demonstrated to be true by accepted mathematical operations and arguments

theorem

process of showing a theorem to be correct

proof

rigorous mathematical argument which unequivocally demonstrate the truth of a given proposition

proof

declarative statement that is true or false but not both

proposition

logical connective/ two statements combined by the word "and"

conjunction

two statements combined by the word "or"

disjunction

statement with "if-then" / true statement can't imply a false statement

conditional

"if and only if" statement

biconditional

proposition that follows with little or no proof required from one already proven

corollary

can also be considered as theorem / short theorem used in proving a larger theorem

lemma

a proposition which is consistent with known data, but has neither been verified nor shown to be false

conjecture