Usually regarded as a form of CONSTRUCTIVISM in the philosophy of mathematics, emphasizing that the construction in question must be possible in finitely many steps with finitely many elements.
The views that the construction must be possible in practice (not just in principle), and that a mathematical statement only gets its sense from the way it is proved, are sometimes called ‘strict finitism’.
Also see: formalism
Source:
P Benacerraf and H Putnam, eds, Philosophy
Table of Contents
- 1 Videos
- 2 Related Products
- 2.1 Strict Finitism and the Logic of Mathematical Applications (Synthese Library Book 355)
- 2.2 Temporal Finitism EP
- 2.3 Wittgenstein, Finitism, and the Foundations of Mathematics (Oxford Philosophical Monographs)
- 2.4 Finitisms
- 2.5 Temporal Finitism
- 2.6 Mechanism, Mentalism and Metamathematics: An Essay on Finitism (Synthese Library)
- 2.7 Strict Finitism: An Examination of Ludwig Wittgenstein's Remarks on the Foundations of Mathematics (Studies in Philosophy)
- 2.8 The History of the Calculus and Its Conceptual Development (Dover Books on Mathematics)
- 2.9 Axiom of Infinity
- 2.10 First_Antinomy
Videos
Strict Finitism and the Logic of Mathematical Applications (Synthese Library Book 355)
- Amazon Kindle Edition
- Ye, Feng (Author)
- English (Publication Language)
- 272 Pages - 07/06/2011 (Publication Date) - Springer (Publisher)
Wittgenstein, Finitism, and the Foundations of Mathematics (Oxford Philosophical Monographs)
- Marion, Mathieu (Author)
- English (Publication Language)
- 280 Pages - 10/15/2008 (Publication Date) - Oxford University Press, USA (Publisher)
Mechanism, Mentalism and Metamathematics: An Essay on Finitism (Synthese Library)
- Hardcover Book
- Webb, J. (Author)
- English (Publication Language)
- 285 Pages - 10/31/1980 (Publication Date) - Springer (Publisher)
Strict Finitism: An Examination of Ludwig Wittgenstein's Remarks on the Foundations of Mathematics (Studies in Philosophy)
- Hardcover Book
- Kielkopf, Charles F. (Author)
- English (Publication Language)
- 196 Pages - 04/01/1970 (Publication Date) - De Gruyter Mouton (Publisher)
The History of the Calculus and Its Conceptual Development (Dover Books on Mathematics)
- Amazon Kindle Edition
- Boyer, Carl B. (Author)
- English (Publication Language)
- 368 Pages - 10/09/2012 (Publication Date) - Dover Publications (Publisher)
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