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Logic, Reasoning, and Proof Terminolgy

AB
conjectureeducated guess
counterexamplean example that proves a conjecture false
conjunctioncompound statement joined by "and"
disjunctioncompound statement joind by "or"
vor
^and
conditional statement"If...., then..."
hypothesisphrase immediately following "if"
conclusionphrase immediately following "then"
converseswitching the hypothesis and conclusion
inversenegating both the hypothesis and conclusion
contrapositiveswitching and negating both hypothesis and conclusion of orginal statement
postulatebasic relationships accepted as true without proof
theoremstatement or conjecture that has been proven true
prooflogical argument in which statements made are supported by reasons
Law of Syllogismp-> q, q -> r, p -> r
Law of Detachmentp -> q, p is true, therefore q is true


Health Sciences Counselor
Southside Virginia Community College
VA

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