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(2012) Epistemology versus ontology, Dordrecht, Springer.

Primitive recursive arithmetic and its role in the foundations of arithmetic

historical and philosophical reflections

William W. Tait

pp. 161-180

We discuss both the historical roots of Skolem"s primitive recursive arithmetic, its essential role in the foundations of arithmetic, its relation to the finitism of Hilbert and Bernays, and its relation to Kant"s philosophy of mathematics.

Publication details

DOI: 10.1007/978-94-007-4435-6_8

Full citation:

Tait, W. W. (2012)., Primitive recursive arithmetic and its role in the foundations of arithmetic: historical and philosophical reflections, in P. Dybjer, S. Lindström, E. Palmgren & G. Sundholm (eds.), Epistemology versus ontology, Dordrecht, Springer, pp. 161-180.

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