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Internal Applications and Puzzles of the Applicability of Mathematics.
- Source :
-
Philosophia Mathematica . Feb2024, Vol. 32 Issue 1, p1-20. 20p. - Publication Year :
- 2024
-
Abstract
- Just as mathematics helps us to represent and reason about the natural world, in its internal applications one branch of mathematics helps us to represent and reason about the subject matter of another. Recognition of the close analogy between internal and external applications of mathematics can help resolve two persistent philosophical puzzles concerning its applicability: a platonist puzzle arising from the abstractness of mathematical objects; and an empiricist puzzle arising from mathematical propositions' lack of empirical factual content. In order to see how this is the case, we will examine what it is to apply mathematics internally and describe examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PUZZLES
*APPLIED mathematics
*MATHEMATICS
*PLATONISTS
*RECREATIONAL mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00318019
- Volume :
- 32
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Philosophia Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 175495708
- Full Text :
- https://doi.org/10.1093/philmat/nkad019