Jens Erik Fenstad.*Structures and Algorithms: Mathematics and the Nature of Knowledge

Philosophia Mathematica 31 (1):125-131 (2023)
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Abstract

This book collects eight essays — written over multiple decades, for a general audience — that address Fenstad’s thoughts on the topics of what there is and how.

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10.1093/philmat/nkac025

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Structures and Algorithms: Mathematics and the Nature of Knowledge.Jens Erik Fenstad - 2018 - Cham: Springer Verlag.
J.E. Fenstad. Structures and Algorithms: Mathematics and the Nature of Knowledge.[author unknown] - 2022 - Philosophia Mathematica 30 (1):141-141.
Jens Erik Fenstad. The axiom of determinateness. Proceedings of the Second Scandinavian Logic Symposium, edited by J. E. Fenstad, Studies in logic and the foundations of mathematics, vol. 63, North-Holland Publishing Company, Amsterdam and London 1971, pp. 41–61. [REVIEW]A. S. Kechris - 1974 - Journal of Symbolic Logic 39 (2):331-332.
Is nonstandard analysis relevant for the philosophy of mathematics?Jens Erik Fenstad - 1985 - Synthese 62 (2):289 - 301.
Postscript to ‘On What There is—Infinitesimals and the Nature of Numbers’.Jens Erik Fenstad - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):80-82.
On What There is—Infinitesimals and the Nature of Numbers.Jens Erik Fenstad - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):57-79.
Notes on synonymy.Jens Erik Fenstad - 1962 - Synthese 14 (1):35 - 77.
Critical notices.Jens Erik Fenstad - 1978 - Synthese 38 (1):169-173.
Sergio Albeverio, Jens Erik Fenstad, Raphael HØEgh-Krohn, and Tom Lindstrom. Nonstandard methods in stochastic analysis and mathematical physics. Pure and applied mathematics, vol. 122. Academic Press, Orlando etc. 1986, xi + 514 pp. [REVIEW]D. N. Hoover - 1990 - Journal of Symbolic Logic 55 (1):362-363.
The structure of logical probabilities.Jens Erik Fenstad - 1968 - Synthese 18 (1):1 - 23.
The Axiom of Determinateness.Jens Erik Fenstad - 1974 - Journal of Symbolic Logic 39 (2):331-332.
Språkstruktur og empirisk semantikk.Jens Erik Fenstad - 2002 - Norsk Filosofisk Tidsskrift 37 (1-2):78-84.
Thoralf Albert Skolem.Jens Erik Fenstad & Hao Wang - 2009 - In Dov Gabbay (ed.), The Handbook of the History of Logic. Elsevier. pp. 127-194.
Review: Jens Erik Fenstad, The Axiom of Determinateness. [REVIEW]A. S. Kechris - 1974 - Journal of Symbolic Logic 39 (2):331-332.
Bemerkungen zum Komprehensionsaxiom.Thoralf Skolem, C. C. Chang & Jens Erik Fenstad - 1967 - Journal of Symbolic Logic 32 (1):128-129.

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Julian Cole
Buffalo State College

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References found in this work

The unreasonable effectiveness of mathematics in the natural sciences.Eugene Wigner - 1960 - Communications in Pure and Applied Mathematics 13:1-14.
Philosophical Comments on Tarski'€™s Theory of Truth.K. Popper - 1972 - In Karl Raimund Popper (ed.), Objective knowledge: an evolutionary approach. New York: Oxford University Press.

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