Modularity in mathematics

Modularity in mathematics

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 whic...

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Veröffentlicht in:The review of symbolic logic 2020-03, Vol.13 (1), p.47-79, Article 47
1. Verfasser: AVIGAD, JEREMY
Format: Artikel
Sprache:eng
Schlagworte:
Complex systems
Computer science
Computers
Epistemology
Knowledge
Mathematical analysis
Mathematics
Modular structures
Modularity
Neurosciences
Philosophy
Product design
Software
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Beschreibung
Zusammenfassung: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.
ISSN:1755-0203
1755-0211
DOI:10.1017/s1755020317000387