Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T06:30:38.408Z Has data issue: false hasContentIssue false

Stability Proofs and Consistency Proofs: A Loose Analogy

Published online by Cambridge University Press:  14 March 2022

Norwood Russell Hanson*
Affiliation:
Yale University

Abstract

A loose analogy relates the work of Laplace and Hilbert. These thinkers had roughly similar objectives. At a time when so much of our analytic effort goes to distinguishing mathematics and logic from physical theory, such an analogy can still be instructive, even though differences will always divide endeavors such as those of Laplace and Hilbert.

Type
Research Article
Copyright
Copyright © 1964 by the Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Nagel, C. and Newman, J. The Gödel Proof (N. Y. U.) 1958.Google Scholar
[2] Rosser, B. ‘Gödel's Theorem and Church's Theorem,’ Journal of Symbolic Logic, 1939.Google Scholar
[3] Hanson, N. R. ‘The Gödel Theorem: An Informal Exposition', Notre Dame Journal of Formal Logic, 1961.CrossRefGoogle Scholar
[4] Laplace, P. S. Mécanique Céleste, 1799-1825, Vol. I, Section 57.Google Scholar
[5] Moulton, , An Introduction to Celestial Mechanics (2nd ed., revised), New York, 1914 (Cf. Section 147, ‘The Question of New Integrals', p. 268).Google Scholar
[6] Cf. Truesdell, C. Rendiconti S, I. F., XIV Corso, pp. 2136, Bologna, 1961.CrossRefGoogle Scholar