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Unit 2 Review

Conditional and Biconditional Vocabulary Set

TermDefinition
Inductive reasoning A type of logic in which generalizations are based on a large number of specific observations. This allows us to reach a conclusion based on the patterns we see.
Conjecture An opinion or conclusion formed on the basis of incomplete information reached by using inductive reasoning. A conjecture is not a fact, it is based on observations.
Counterexample An example that proves that a conjecture or statement is false.
Conditional statement A logical statement that has two parts, a hypothesis and a conclusion, and can be written in if-then form or in the form of p --> q.
Hypothesis a proposed explanation made on the basis of limited evidence as a starting point for further investigation. The part of a conditional statement that comes after the "if" and before the "then".
Conclusion The result or implied result of a conditional statement. The part of a conditional statement that comes after the "then".
Converse The statement formed by exchanging the hypothesis and conclusion of a conditional statement. Can be written in the form of q --> p.
Negate To cancel the effect of; nullify. To change the meaning from "if-then" to "not if, not then", or to change the meaning form "not if, not then" to "if-then".
Inverse The statement that changes the meaning of the hypothesis and conclusion without changing the order. Ex. If not p, then not q.
Contrapositive The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement. Essentially, this is finding the converse of the inverse. Changes meaning and order. If not q, then not p.
Biconditional A statement formed from a true conditional and a true converse. The statement contains the words "if and only if" or "iff". These help us to write and support good definitions. p if and only if q.
Created by: ferguslr
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