Studia Logica 107 (1):145-165 (2019)

Authors
Reinhard Kahle
University Tübingen
Abstract
In his introductory paper to first-order logic, Jon Barwise writes in the Handbook of Mathematical Logic :[T]he informal notion of provable used in mathematics is made precise by the formal notion provable in first-order logic. Following a sug[g]estion of Martin Davis, we refer to this view as Hilbert’s Thesis.This paper reviews the discussion of Hilbert’s Thesis in the literature. In addition to the question whether it is justifiable to use Hilbert’s name here, the arguments for this thesis are compared with those for Church’s Thesis concerning computability. This leads to the question whether one could provide an analogue for proofs of the concept of partial recursive function.
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DOI 10.1007/s11225-017-9776-2
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References found in this work BETA

Finitism and Intuitive Knowledge.Charles Parsons - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press. pp. 249--270.

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Citations of this work BETA

Dedekinds Sätze und Peanos Axiomata.Reinhard Kahle - 2021 - Philosophia Scientae 25:69-93.

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