Frank Ramsey on the transcendental meaning of the axiom of infinity
V.A. Surovtsev, I.A. Enns
Keywords: logic, axiom, infinity, function, Ramsey
Abstract
In the authors’ opinion, the main thing in Ramsey’s transcendental argument is still the fact that one treats the axiom of infinity as a tautology. Extensional functions really do not play a demonstrative part but serve just as an instrument to realize the program of logicism. However, it is not the most important thing in the transcendental argument. The most important thing is right that one may present the axiom of infinity as a tautology. And it is the possibility to write it down as a tautology in various presentations that is evidence of its transcendental truth.
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