Definition, Meaning & Synonyms

biconditional

noun
/ˌbaɪ.kənˈdɪʃ.ən.əl/
Definition
A biconditional is a logical statement that connects two propositions with the phrase ‘if and only if.’
Examples
  • The statement ‘You will pass the exam if and only if you study’ is an example of a biconditional.
  • In mathematics, the biconditional can be represented as ‘p ↔ q.’
  • Understanding biconditional statements is essential for grasping concepts in logical reasoning.
Meaning
In logic, biconditionality signifies that both the statements are true together or false together; one statement being true implies the other and vice versa.
Synonyms
  • if and only if
  • equivalence