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Founding Mathematics on Semantic ConventionsIntuitionism and Choice Sequences

Founding Mathematics on Semantic Conventions: Intuitionism and Choice Sequences [This chapter deals with intuitionism. According to L.E.J. Brouwer, it is possible to have a mathematics with an austere ontological basis of mental acts, and nevertheless accept undefinable real numbers. That is allegedly made possible by freely-proceeding choice sequences, i.e., sequences created through repeated random choices of elements by a creating subject, in a potentially infinite process. The author argues that we are not as fortunate as Brouwer thought.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Founding Mathematics on Semantic ConventionsIntuitionism and Choice Sequences

Part of the Synthese Library Book Series (volume 446)
Hansen, Casper Storm
Founding Mathematics on Semantic Conventions — Nov 5, 2021
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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
ISBN
978-3-030-88533-5
Pages
29 –48
DOI
10.1007/978-3-030-88534-2_3
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter deals with intuitionism. According to L.E.J. Brouwer, it is possible to have a mathematics with an austere ontological basis of mental acts, and nevertheless accept undefinable real numbers. That is allegedly made possible by freely-proceeding choice sequences, i.e., sequences created through repeated random choices of elements by a creating subject, in a potentially infinite process. The author argues that we are not as fortunate as Brouwer thought.]

Published: Nov 5, 2021

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