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Constructivist versus Structuralist Foundations
Stockholm University, Faculty of Science, Department of Mathematics.
2012 (English)In: Epistemology versus Ontology: Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf / [ed] Peter Dybjer, Sten Lindström, Erik Palmgren, Göran Sundholm, Springer, 2012, p. 265-279Chapter in book (Refereed)
Abstract [en]

The mathematical philosophies of constructivism and structuralism may at first appear to be at odds with each other. The emphasis on direct construction and lack of a full-fledged abstract set-theoretic or type-theoretic language in early approaches seemed to preclude a structuralist view of mathematics in constructivism.

Place, publisher, year, edition, pages
Springer, 2012. p. 265-279
Series
Logic, Epistemology, and the Unity of Science, ISSN 2214-9775, E-ISSN 2214-9783 ; 27
Keywords [en]
Classical Logic, Category Theory, Terminal Object, Choice Object, Product Diagram
National Category
Philosophy
Research subject
Mathematical Logic
Identifiers
URN: urn:nbn:se:su:diva-85905DOI: 10.1007/978-94-007-4435-6_13ISBN: 978-94-007-4434-9 (print)ISBN: 978-94-007-4435-6 (electronic)OAI: oai:DiVA.org:su-85905DiVA, id: diva2:585339
Available from: 2013-01-10 Created: 2013-01-10 Last updated: 2022-02-24Bibliographically approved

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