- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Category theory in real time
Philosophia Mathematica 2 (1):36-44 (1994)
Abstract
The article surveys some past and present debates within mathematics over the meaning of category theory. It argues that such conceptual analyses, applied to a field still under active development, must be in large part either predictions of, or calls for, certain programs of further work.Author's Profile
Other Versions
No versions found
My notes
Similar books and articles
Category theory as an autonomous foundation.Øystein Linnebo & Richard Pettigrew - 2011 - Philosophia Mathematica 19 (3):227-254.
Up with Categories, Down with Sets; Out with Categories, In with Sets!Jonathan Kirby - 2024 - Philosophia Mathematica 32 (2):216-227.
Husserl, Intentionality and Mathematics: Geometry and Category Theory.Arturo Romero Contreras - 2022 - In Boi Luciano & Lobo Carlos (eds.), When Form Becomes Substance. Power of Gestures, Diagrammatical Intuition and Phenomenology of Space. Birkhäuser. pp. 327-358.
Husserl, Intentionality and Mathematics: Geometry and Category Theory.Romero Arturo - 2022 - In Boi Luciano & Lobo Carlos (eds.), When Form Becomes Substance. Power of Gestures, Diagrammatical Intuition and Phenomenology of Space. Birkhäuser. pp. 327-358.
The importance of nonexistent objects and of intensionality in mathematics.Richard Sylvan - 2003 - Philosophia Mathematica 11 (1):20-52.
Categories in context: Historical, foundational, and philosophical.Elaine Landry & Jean-Pierre Marquis - 2005 - Philosophia Mathematica 13 (1):1-43.
Analytics
Added to PP
2009-01-28
Downloads
106 (#201,747)
6 months
11 (#364,844)
2009-01-28
Downloads
106 (#201,747)
6 months
11 (#364,844)
Historical graph of downloads
Author's Profile
Citations of this work
Foundations as truths which organize mathematics.Colin Mclarty - 2013 - Review of Symbolic Logic 6 (1):76-86.
Fermat’s last theorem proved in Hilbert arithmetic. I. From the proof by induction to the viewpoint of Hilbert arithmetic.Vasil Penchev - 2021 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 13 (7):1-57.
References found in this work
The uses and abuses of the history of topos theory.Colin Mclarty - 1990 - British Journal for the Philosophy of Science 41 (3):351-375.
Nicolas Bourbaki and the concept of mathematical structure.Leo Corry - 1992 - Synthese 92 (3):315 - 348.
Categories of space and of quantity.F. William Lawvere - 1992 - In Javier Echeverría, Andoni Ibarra & Thomas Mormann (eds.), The space of mathematics: philosophical, epistemological, and historical explorations. New York: W. de Gruyter. pp. 14--30.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-648784bb4d-82spv uwo