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Pearcey and Thaxton on Mathematics and Relativism

Nancy R. Pearcey and Charles B. Thaxton in The Soul of Science (Wheaton, IL: Crossway Books, 1994), p. 152-3.

When the idol of mathematics fell, it brought down with it confidence in any universal truth. The sharp ring of truth that characterized mathematics had inspired hope that truth could be found by similar methods in other fields of scholarship. Now that hope died… Filtered to the rest of the academic world, the crisis in mathematics was symbolized by the emergence of non-Euclidean geometries. Euclid’s axioms had stood the test of time for some two thousand years. That physical space is Euclidean seemed part of common sense. But now Euclidean geometry had been relegated to one of many possible geometries. Far from being a universal truth, Euclidean geometry was a merely human invention that might apply in some contexts but not in others. The crisis in geometry became a metaphor for the shattering of established verities, the inadequacy of deductive systems, the loss of a single, unified body of truth.