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 Wittgenstein, Finitism, and the Foundations of Mathematics (Oxford Philosophical Monographs)
- 2.2 Temporal Finitism EP
- 2.3 Finitisms
- 2.4 Strict Finitism and the Logic of Mathematical Applications (Synthese Library Book 355)
- 2.5 Temporal Finitism
- 2.6 Mechanism, Mentalism and Metamathematics: An Essay on Finitism (Synthese Library)
- 2.7 The History of the Calculus and Its Conceptual Development (Dover Books on Mathematics)
- 2.8 Georg Cantor: His Mathematics and Philosophy of the Infinite
- 2.9 Axiom of Infinity
- 2.10 Infinity, Causation, and Paradox
Videos
Wittgenstein, Finitism, and the Foundations of Mathematics (Oxford Philosophical Monographs)
- Amazon Kindle Edition
- Marion, Mathieu (Author)
- English (Publication Language)
- 280 Pages - 03/04/1999 (Publication Date) - Clarendon Press (Publisher)
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)
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)
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)
Georg Cantor: His Mathematics and Philosophy of the Infinite
- Amazon Kindle Edition
- Dauben, Joseph Warren (Author)
- English (Publication Language)
- 404 Pages - 06/23/2020 (Publication Date) - Princeton University Press (Publisher)
Infinity, Causation, and Paradox
- Hardcover Book
- Pruss, Alexander R. (Author)
- English (Publication Language)
- 224 Pages - 10/16/2018 (Publication Date) - Oxford University Press (Publisher)
Last update 2020-06-17. Price and product availability may change.