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Throughout the academic world, non-Euclidean geometry was invoked to support a positivistic, anti-metaphysical temper of thought. A culture was assumed to be analogous to a geometry. Both were built on a few postulates chosen from an indefinite number of possibilities; both consisted of internally consistent, interrelated wholes; and both were immune to judgements about their truth or falsity in any ultimate sense. Just as different geometries could all be logically valid, it was argued, so any number of different cultural and ethical systems could all be logically valid. Thus non-Euclideanism became a metaphor for the rejection of all traditional deductive systems — particularly the moral and religious tradition of Christianity. This is not to say that non-Euclideanism is intrinsically anti-Christian or anti-religious. Yet it was invoked as a symbol to deny that Christianity has any claim to a superior or exclusive truth.

How is it possible that creatures like ourselves, supplied with the contingent capacities of a biological species whose very existence appears to be radically accidental, should have access to universally valid methods of objective thought? It is because this question seems unanswerable that sophisticated forms of subjectivism keep appearing in the philosophical literature...