Abstract
Ramsey’s ‘Foundations of Mathematics’ (FoM) is perhaps best known today for its rejection of the ramified theory of types in favour of a simple theory, and its attendant categorisation of the paradoxes that moved Russell to ramify the theory into those which are properly logical and those which are merely semantic (FoM, p. 20).1 I shall not be very concerned with those arguments here. I shall focus instead upon the ontology implicated in Ramsey’s reinterpretation of the theory of Principia, motivated by his commitment to securing a proxy for the identity relation in mathematical contexts.
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© 2015 S. J. Methven
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Methven, S.J. (2015). The Foundations of Mathematics. In: Frank Ramsey and the Realistic Spirit. History of Analytic Philosophy. Palgrave Macmillan, London. https://doi.org/10.1057/9781137351081_8
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DOI: https://doi.org/10.1057/9781137351081_8
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-1-349-56123-0
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