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Hilbert's program
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== References == {{Reflist}} *G. Gentzen, 1936/1969. Die Widerspruchfreiheit der reinen Zahlentheorie. ''[[Mathematische Annalen]]'' 112:493β565. Translated as 'The consistency of arithmetic', in ''The collected papers of Gerhard Gentzen'', M. E. Szabo (ed.), 1969. *D. Hilbert. 'Die Grundlegung der elementaren Zahlenlehre'. ''Mathematische Annalen'' 104:485β94. Translated by W. Ewald as 'The Grounding of Elementary Number Theory', pp. 266β273 in Mancosu (ed., 1998) ''From Brouwer to Hilbert: The debate on the foundations of mathematics in the 1920s'', Oxford University Press. New York. *[[Steve Simpson (mathematician)|S.G. Simpson]], 1988. [https://www.personal.psu.edu/t20/papers/hilbert-jsl-1988.pdf Partial realizations of Hilbert's program (pdf)]. ''[[Journal of Symbolic Logic]]'' 53:349β363. *[[Richard Zach|R. Zach]], 2006. Hilbert's Program Then and Now. ''Philosophy of Logic'' 5:411β447, [https://arxiv.org/abs/math/0508572 arXiv:math/0508572] [math.LO].
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