David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
In Dale Jacquette (ed.), Philosophy of Logic. North Holland 5--411 (2006)
Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbert proposed a two-pronged approach in 1921: first, classical mathematics should be formalized in axiomatic systems; second, using only restricted, “finitary” means, one should give proofs of the consistency of these axiomatic systems. Although Gödel’s incompleteness theorems show that the program as originally conceived cannot be carried out, it had many partial successes, and generated important advances in logical theory and metatheory, both at the time and since. The article discusses the historical background and development of Hilbert’s program, its philosophical underpinnings and consequences, and its subsequent development and influences since the 1930s
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Jeremy Avigad, “Clarifying the Nature of the Infinite”: The Development of Metamathematics and Proof Theory.
Solomon Feferman (2008). Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on Finitism, Constructivity and Hilbert's Program. Dialectica 62 (2: Table of Contents"/> Select):179–203.
Yingrui Yang & Selmer Bringsjord (2003). Newell's Program, Like Hilbert's, is Dead; Let's Move On. Behavioral and Brain Sciences 26 (5):627-627.
Michael Stöltzner (2002). How Metaphysical is “Deepening the Foundations”?: Hahn and Frank on Hilbert’s Axiomatic Method. Vienna Circle Institute Yearbook 9:245-262.
Panu Raatikainen (2003). Hilbert's Program Revisited. Synthese 137 (1-2):157 - 177.
Richard Zach (2003). The Practice of Finitism: Epsilon Calculus and Consistency Proofs in Hilbert's Program. Synthese 137 (1-2):211 - 259.
Thomas Hofweber (2000). Proof-Theoretic Reduction as a Philosopher's Tool. Erkenntnis 53 (1-2):127-146.
Richard Zach, Hilbert's Program. Stanford Encyclopedia of Philosophy.
Added to index2009-01-28
Total downloads75 ( #58,528 of 1,911,401 )
Recent downloads (6 months)5 ( #142,099 of 1,911,401 )
How can I increase my downloads?