It is time, therefore, to abandon the superstition that natural science cannot be regarded as logically respectable until philosophers have solved the problem of induction. The problem of induction is, roughly speaking, the problem of finding a way to prove that certain empirical generalizations which are derived from past experience will hold good also in the future.
A.J. AyerThe 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.
A.J. AyerBertrand Russell would not have wished to be called a saint of any description; but he was a great and good man.
A.J. AyerThe misfortunes which God is represented in the book of Job as allowing Satan to inflict on Job, merely to test his faith, are indications, if not of positive malevolence, at least of a suspicious and ruthless insecurity, which is characteristic more of a tyrant than of a wholly powerful and benevolent deity.
A.J. Ayer