The Roots of Mathematical Structuralism

Project Information

STRUCTURALISM

Grant agreement ID: 715222

DOI

10.3030/715222

Project closed

EC signature date 7 November 2016

Start date 1 March 2017

End date 28 February 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 364 097,00

EU contribution

€ 1 364 097,00

Coordinated by

UNIVERSITAT WIEN
Austria

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (2)

Thin Objects: An Abstractionist Account by Øystein Linnebo

Author(s): Inger Bakken Pedersen
Published in: The Mathematical Intelligencer, 2021, ISSN 0343-6993
Publisher: Springer Verlag
DOI: 10.1007/s00283-021-10049-x

Structuralism in the Philosophy of Mathematics

Author(s): Georg Schiemer and Erich Reck
Published in: The Stanford Encyclopedia of Philosophy, Issue online: First published Mon Nov 18, 2019_modified on Jan 29, 2020. Spring Edition 2020, 2020, ISSN 1095-5054
Publisher: The Metaphysics Research Lab, Center for the Study of Language and Information (CSLI), Stanford University

Peer reviewed articles (14)

Modal Structuralism with Theoretical Terms

Author(s): Holger Andreas, Georg Schiemer
Published in: Erkenntnis, 2021, ISSN 0165-0106
Publisher: Reidel
DOI: 10.1007/s10670-021-00378-w

Structuralism and Mathematical Practice in Felix Klein’s Work on Non-Euclidean Geometry†

Author(s): Francesca Biagioli
Published in: Philosophia Mathematica, Issue 28/3, 2020, Page(s) 360-384, ISSN 1744-6406
Publisher: Philosophia Mathematica
DOI: 10.1093/philmat/nkaa029

Felix Klein’s projective representations of the groups S6 and A7

Author(s): Henning Heller
Published in: Archive for History of Exact Sciences, 2022, ISSN 0003-9519
Publisher: Springer Verlag
DOI: 10.1007/s00407-022-00290-x

Cassirer and the Structural Turn in Modern Geometry

Author(s): Georg Schiemer
Published in: Journal for the History of Analytical Philosophy, Issue 6/3, 2018, ISSN 2159-0303
Publisher: Journal for the History of Analytical Philosophy
DOI: 10.15173/jhap.v6i3.3439

Mathematical Philosophy

Author(s): John Wigglesworth
Published in: The Reasoner Volume 12, Number 3 – March 2018, 2018, Page(s) 22-23, ISSN 1757-0522
Publisher: The Reasoner

Articulating Space in Terms of Transformation Groups: Helmholtz and Cassirer

Author(s): Francesca Biagioli
Published in: Journal for the History of Analytical Philosophy, Issue 6/3, 2018, ISSN 2159-0303
Publisher: Journal for the History of Analytical Philosophy
DOI: 10.15173/jhap.v6i3.3436

The Structuralist Thesis Reconsidered

Author(s): Georg Schiemer, John Wigglesworth
Published in: The British Journal for the Philosophy of Science, 2018, ISSN 0007-0882
Publisher: Oxford University Press
DOI: 10.1093/bjps/axy004

Bi-Modal Naive Set Theory

Author(s): John Wigglesworth
Published in: The Australasian Journal of Logic, Issue 15/2, 2018, Page(s) 139, ISSN 1448-5052
Publisher: The Australasian Journal of Logic 15: 139 - 150, 2018
DOI: 10.26686/ajl.v15i2.4859

Non-eliminative Structuralism, Fregean Abstraction, and Non-rigid Structures

Author(s): John Wigglesworth
Published in: Erkenntnis, 2018, Page(s) 1-15, ISSN 0165-0106
Publisher: Reidel
DOI: 10.1007/s10670-018-0096-3

Individuating Logics: A Category‐Theoretic Approach

Author(s): John Wigglesworth
Published in: Thought: A Journal of Philosophy, Issue 8/3, 2019, Page(s) 200-208, ISSN 2161-2234
Publisher: The Thought Trust and Wiley Periodicals, Inc.
DOI: 10.1002/tht3.425

Ernst Cassirer's transcendental account of mathematical reasoning

Author(s): Francesca Biagioli
Published in: Studies in History and Philosophy of Science Part A, Issue Volume 79, February 2020, 2020, Page(s) 30-40, ISSN 0039-3681
Publisher: Elsevier
DOI: 10.1016/j.shpsa.2019.10.001

What are Implicit Definitions?

Author(s): Eduardo N. Giovannini, Georg Schiemer
Published in: Erkenntnis, Issue November 2018, 2019, Page(s) 1-31, ISSN 0165-0106
Publisher: Reidel
DOI: 10.1007/s10670-019-00176-5

What Are Structural Properties?†

Author(s): Johannes Korbmacher, Georg Schiemer
Published in: Philosophia Mathematica, Issue 27. June 2017, 2017, Page(s) 1-29, ISSN 0031-8019
Publisher: Oxford University Press
DOI: 10.1093/philmat/nkx011

Introduction to Special Issue: Foundations of Mathematical Structuralism

Author(s): Georg Schiemer, John Wigglesworth
Published in: Philosophia Mathematica, 2020, ISSN 0031-8019
Publisher: Oxford University Press
DOI: 10.1093/philmat/nkaa027

Monographic books (1)

The Prehistory of Mathematical Structuralism

Author(s): Georg Schiemer and Erich Reck
Published in: The Prehistory of Mathematical Structuralism, 2020, Page(s) 454, ISBN 9780190641221
Publisher: Oxford
DOI: 10.1093/oso/9780190641221.001.0001

Book chapters (7)

Carnap's structuralist thesis

Author(s): Georg Schiemer
Published in: 2020, Page(s) 383-420, ISBN 978-0-19-064122-1
Publisher: Oxford University Press

The Prehistory of Mathematical Structuralism: Introduction and Overview

Author(s): Georg Schiemer and Erich Reck
Published in: 2020, ISBN 978-0-19-064122-1
Publisher: Oxford University Press

Intuition and Conceptual Construction in Weyl’s Analysis of the Problem of Space

Author(s): Francesca Biagioli
Published in: Weyl and the Problem of Space - From Science to Philosophy, Issue 49, 2019, Page(s) 347-368, ISBN 978-3-030-11526-5
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-11527-2_12

Nonstandard Logicism

Author(s): Georg Schiemer
Published in: Issue 1, 2021, Page(s) 1-424, ISBN 9781138122000
Publisher: Routledge

Paolo Mancosu, Abstraction and Infinity. Oxford University Press, 2016

Author(s): Georg Schiemer
Published in: Franz Brentano and Austrian Philosophy, Issue 24, 2020, Page(s) 427-430, ISBN 978-3-030-40946-3
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-40947-0_19

Logicism in Logical Empiricism

Author(s): Georg Schiemer
Published in: 2021, Page(s) 1-418, ISBN 9780367230050
Publisher: Routledge

Transfer principles, Klein's Erlangen Program, and methodological structuralism

Author(s): Georg Schiemer
Published in: 2020, Page(s) 106-141, ISBN 978-0-19-064122-1
Publisher: Oxford University Press