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" "There never comes a point where a theory can be said to be true. The most that one can claim for any theory is that it has shared the successes of all its rivals and that it has passed at least one test which they have failed.
Sir Alfred Jules Ayer (29 October 1910 – 27 June 1989), more often referred to as A. J. Ayer or Freddie Ayer, was a British humanist philosopher, who was one of the leading proponents of logical positivism.
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The principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.