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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Nagel, E. and Newman, J., The Gödel Proof, N. Y. U. 1958.
Rosser, B., ‘Gödel’s Theorem and Church‘s Theorem’, Journal of Symbolic Logic (1939).
Hanson, N. R., ‘The Gödel Theorem: An Informal Exposition’, Notre Dame Journal of Formal Logic (1961).
Laplace, P. S., Mécanique Céleste, 1799–1825, Vol. I, Section 57.
Moulton, An Introduction to Celestial Mechanics, 2nd ed., revised, New York, 1914. (Cf. Section 147, ‘The Question of New Integrals’, p. 268.)
Cf. Truesdell, C. Rendiconti S, I. F., XIV Corso, Bologna, 1961, pp. 21–36.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1971 D. Reidel Publishing Company, Dordrecht, Holland
About this chapter
Cite this chapter
Hanson, N.R. (1971). Stability Proofs and Consistency Proofs: A Loose Analogy. In: Toulmin, S., Woolf, H. (eds) What I Do Not Believe, and Other Essays. Synthese Library, vol 38. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-3108-0_4
Download citation
DOI: https://doi.org/10.1007/978-94-010-3108-0_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3110-3
Online ISBN: 978-94-010-3108-0
eBook Packages: Springer Book Archive