Definition, Meaning & Synonyms
biconditional
noun
/ˌbaɪ.kənˈdɪʃ.ən.əl/
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Definition
A biconditional is a logical statement that connects two propositions with the phrase ‘if and only if.’
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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.
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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.
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Synonyms
- if and only if
- equivalence