Wednesday, November 28, 2007

6.2 Mathematics is a logical method.

The propositions of mathematics are equations, hence pseudo-propositions.

Black (p. 341): “In discussing the proposed view of mathematics, Ramsey says: ‘this is obviously a ridiculously narrow view of mathematics, and confines it to simple arithmetic’ (Foundations, p. 17). One difficulty raised by him is the presence in mathematics of inequalities (op. cit. p. 282). But the more serious difficulty, he holds, is that of accounting, on W.’s view, for the applicability of arithmetic (op. cit. p. 19).”

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