On the Intuitionistic Background of Gentzen's 1935 and 1936 Consistency Proofs and Their Philosophical Aspects

Author:

TAKAHASHI Yuta1

Affiliation:

1. Nagoya University and Japan Society for the Promotion of Science

Publisher

The Japan Association for Philosophy of Science

Reference51 articles.

1. [Akiyoshi 2010] Akiyoshi, Ryota, “Gentzen's First Consistency Proof Revisited”, in CARLS Series of Advanced Study of Logic and Sensibility Vol.4, Keio University, Centre for Advanced Research on Logic and Sensibility, Tokyo (2010), pp.315-324.

2. [AR 2001] Avigad, Jeremy, and Reck, Erich H., ““Clarifying the nature of the infinite”: the development of metamathematics and proof theory”, Carnegie Mellon Technical Report CMU-PHIL-120, 2001.

3. [Bernays 1970] Bernays, Paul, “On the original Gentzen consistency proof for number theory”, in Intuitionism and proof theory, A. Kino, J. Myhill, and R. Vesley (eds.), North-Holland, Amsterdam (1970), pp.409-417.

4. [Brouwer 1922] Brouwer, L. E. J., “Intuitionistische Mengenlehre”, KNAW Proceedings, 23 (1922), 949-954.

5. [Brouwer 1923] Brouwer, L. E. J., “Über die Bedeutung des Satzes vom ausgeschlossenen Dritten in der Mathematik, insbesondere in der Funktionentheorie”, Journal für die reine und angewandte Mathematik, 154 (1923), 1-7.

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