Proofs of the Compactness Theorem

History and Philosophy of Logic 31 (1):73-98 (2010)
  Copy   BIBTEX

Abstract

In this study, several proofs of the compactness theorem for propositional logic with countably many atomic sentences are compared. Thereby some steps are taken towards a systematic philosophical study of the compactness theorem. In addition, some related data and morals for the theory of mathematical explanation are presented

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 74,635

External links

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

Through your library

Similar books and articles

Generalizations of Kochen and Specker's Theorem and the Effectiveness of Gleason's Theorem.Itamar Pitowsky - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (2):177-194.
Why Do Mathematicians Re-Prove Theorems?John W. Dawson Jr - 2006 - Philosophia Mathematica 14 (3):269-286.
Level Compactness.Gillman Payette & Blaine D'Entremont - 2006 - Notre Dame Journal of Formal Logic 47 (4):545-555.
On Finding Compactness in Aristotle.Michael Scanlan - 1983 - History and Philosophy of Logic 4 (1&2):1-8.
The Compactness of First-Order Logic:From Gödel to Lindström.John W. Dawson - 1993 - History and Philosophy of Logic 14 (1):15-37.
A Proofless Proof of the Barwise Compactness Theorem.Mark Howard - 1988 - Journal of Symbolic Logic 53 (2):597-602.

Analytics

Added to PP
2010-07-27

Downloads
198 (#62,893)

6 months
6 (#124,445)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

A. C. Paseau
Oxford University

References found in this work

Explanation and Scientific Understanding.Michael Friedman - 1974 - Journal of Philosophy 71 (1):5-19.
Explanatory Unification.Philip Kitcher - 1981 - Philosophy of Science 48 (4):507-531.
Explanatory Unification and the Causal Structure of the World.Philip Kitcher - 1989 - In Philip Kitcher & Wesley Salmon (eds.), Scientific Explanation. Minneapolis: University of Minnesota Press. pp. 410-505.
[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.

View all 24 references / Add more references