Definition of iff in English:



Mathematics Logic
  • If and only if.

    • ‘Thus the sentence ‘Snow is white’ is true iff it corresponds to the fact that snow is white.’
    • ‘Let us say that I could have rendered a proposition false in the weak sense iff I was able to do something such that, if I did it, the proposition would have been falsified (though not necessarily by my act, or by any event caused by my act).’
    • ‘The truth conditions for negation are: A is true iff A is not true.’
    • ‘Let the letter ‘M’ represent this operator, and add to the axioms of classical propositional logic the modal axiom M (p v q) iff Mp v Mq.’
    • ‘Minimalism allows us to generate a minimal truth condition for any meaningful indicative sentence, such as ‘Lying is wrong’ is true iff lying is wrong.’


1950s: arbitrary extension of if.