- 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
Modularity in mathematics
Review of Symbolic Logic 13 (1):47-79 (2020)
Abstract
In a wide range of fields, the word “modular” is used to describe complex systems that can be decomposed into smaller systems with limited interactions between them. This essay argues that mathematical knowledge can fruitfully be understood as having a modular structure and explores the ways in which modularity in mathematics is epistemically advantageous.Author's Profile
Other Versions
No versions found
Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Sign in / register and customize your OpenURL resolver
- Configure custom resolver
My notes
Similar books and articles
Mechanisms, Modularity and Constitutive Explanation.Jaakko Kuorikoski - 2012 - Erkenntnis 77 (3):361-380.
Plans and planning in mathematical proofs.Yacin Hamami & Rebecca Lea Morris - 2020 - Review of Symbolic Logic 14 (4):1030-1065.
Modularity, antimodularity and explanation in complex systems.Luca Rivelli - 2015 - Dissertation, University of Paris 1 Panthéon-Sorbonne
Modular Organization and Emergence in Systems Biology.Marc-Thorsten Hütt - 2019 - In Lars H. Wegner & Ulrich Lüttge, Emergence and Modularity in Life Sciences. Springer Verlag. pp. 37-49.
Evolutionary Developmental Biology Meets Levels of Selection: Modular Integration or Competition, or Both?Rasmus Grønfeldt Winther - 2005 - In Werner Callebaut & Diego Rasskin-Gutman, Modularity: Understanding the Development and Evolution of Natural Complex Systems. MIT Press.
Is the mind really modular?Jesse J. Prinz - 2006 - In Robert Stainton, Contemporary Debates in Cognitive Science. Oxford: Wiley-Blackwell. pp. 22--36.
Cognitive Modularity, Biological Modularity and Evolvability.Claudia Lorena García - 2007 - Biological Theory: Integrating Development, Evolution and Cognition (KLI) 2 (1):62-73.
Understanding the Emergence of Modularity in Neural Systems.John A. Bullinaria - 2007 - Cognitive Science 31 (4):673-695.
Analytics
Added to PP
2018-02-23
Downloads
91 (#240,279)
6 months
3 (#1,096,948)
2018-02-23
Downloads
91 (#240,279)
6 months
3 (#1,096,948)
Historical graph of downloads
Author's Profile
Citations of this work
Philosophy of mathematical practice: A primer for mathematics educators.Yacin Hamami & Rebecca Morris - 2020 - ZDM Mathematics Education 52:1113–1126.
Plans and planning in mathematical proofs.Yacin Hamami & Rebecca Lea Morris - 2020 - Review of Symbolic Logic 14 (4):1030-1065.
Understanding in mathematics: The case of mathematical proofs.Yacin Hamami & Rebecca Lea Morris - 2024 - Noûs 58 (4):1073-1106.
Epistemic phase transitions in mathematical proofs.Scott Viteri & Simon DeDeo - 2022 - Cognition 225 (C):105120.
References found in this work
The Architecture of Complexity.Herbert A. Simon - 1962 - Proceedings of the American Philosophical Society 106.
Scientific Explanation.P. Kitcher & W. C. Salmon - 1992 - British Journal for the Philosophy of Science 43 (1):85-98.
Modularity in cognition: Framing the debate.H. Clark Barrett & Robert Kurzban - 2006 - Psychological Review 113 (3):628-647.
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-99fc7d78b-qtxsx uwo