What is Hilbert’s 24th Problem?

&
Kairos 20 (1):1-11 (2018)
  Copy   BIBTEX

Abstract

In 2000, a draft note of David Hilbert was found in his Nachlass concerning a 24th problem he had consider to include in the his famous problem list of the talk at the International Congress of Mathematicians in 1900 in Paris. This problem concerns simplicity of proofs. In this paper we review the traces of this problem which one can find in the work of Hilbert and his school, as well as modern research started on it after its publication. We stress, in particular, the mathematical nature of the problem.1.

Categories

Add categories

Keywords

Reprint years

DOI

10.2478/kjps-2018-0001

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 101,423

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Hilbert 24th problem.Inês Hipólito & Reinhard Kahle - 2019 - Philosophical Transactions of the Royal Society A 1 (Notion of Simple Proof).
The notion of ‘simple proof’​.Inês Hipólito & Reinhard Kahle - 2019 - The Royal Society of London: Philosophical Transactions.
Hilbert, completeness and geometry.Giorgio Venturi - 2011 - Rivista Italiana di Filosofia Analitica Junior 2 (2):80-102.
Randomness everywhere.C. S. Calude & G. J. Chaitin - 1999 - Nature 400:319-320.
Simplicity: Ideals of Practice in Mathematics and the Arts.Roman Kossak & Philip Ording (eds.) - 2017 - Springer.
Heinrich Behmann’s 1921 lecture on the decision problem and the algebra of logic.Paolo Mancosu & Richard Zach - 2015 - Bulletin of Symbolic Logic 21 (2):164-187.
David Hilbert. Mathematical problems. Lecture delivered before the International Congress of Mathematicians at Paris in 1900. A reprint of 1084 . Mathematical developments arising from Hilbert problems, Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Northern Illinois University, De Kalb, Illinois, May 1974, edited by Felix E. Browder, Proceedings of symposia in pure mathematics, vol. 28, American Mathematical Society, Providence1976, pp. 1–34. - Donald A. Martin. Hilbert's first problem: the continuum hypothesis. A reprint of 1084 . Mathematical developments arising from Hilbert problems, Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Northern Illinois University, De Kalb, Illinois, May 1974, edited by Felix E. Browder, Proceedings of symposia in pure mathematics, vol. 28, American Mathematical Society, Providence1976, pp. 81–92. - G. Kreisel. What have we learnt from Hilbert's second proble. [REVIEW]C. Smoryński - 1979 - Journal of Symbolic Logic 44 (1):116-119.
Hilbert between the formal and the informal side of mathematics.Giorgio Venturi - 2015 - Manuscrito 38 (2):5-38.
Hilbert's 6th Problem and Axiomatic Quantum Field Theory.Miklós Rédei - 2014 - Perspectives on Science 22 (1):80-97.
Deciding the undecidable: Wrestling with Hilbert's problems.Solomon Feferman - manuscript

Analytics

Added to PP
2018-08-25

Downloads
31 (#735,444)

6 months
14 (#239,352)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Reinhard Kahle
University Tübingen

Citations of this work

Add more citations

References found in this work

Simplicity.Victor Pambuccian - 1988 - Notre Dame Journal of Formal Logic 29 (3):396-411.
Axiomatic thinking.David Hilbert - 1970 - Philosophia Mathematica (1-2):1-12.

View all 6 references / Add more references