Structuralism and Fictionalism in the Philosophy of Mathematics
ENV/005
University of York
York YO10 5DD
United Kingdom
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About the conference:
The abstract character of mathematics raises difficult philosophical questions as to the nature and existence of mathematical entities, such as numbers, functions, sets, groups, graphs, and number systems. This conference will explore such questions from the perspective of two different traditional approaches, viz. “mathematical structuralism” and “mathematical fictionalism”. The main objective of the conference is to re-evaluate these perspectives and to consider the relationship between them. Specifically, the following research questions will be addressed in the conference:
- Do either structuralism or fictionalism offer a philosophically viable foundation for modern mathematics?
- To what extent are structuralism and fictionalism faithful to mathematical practice?
- What are the connections between the structuralist and fictionalist approaches to the philosophy of mathematics?
- How do mathematicians think about meaning, reference, and truth in mathematics?
Provisional schedule:
Monday May 13th, 2024
09:45 - 10:00 Welcome
10:00 - 11:15 Otávio Bueno Why a Mathematical Fictionalist Should Be a Structuralist about Mathematics
11:15 - 11:45 Coffee break
11:45 - 13:00 Mary Leng and John Wigglesworth Fictionalist Mathematical Structuralism
13:00 - 14:30 Lunch break
14:30 - 15:30 Georg Schiemer What is implicit structure?
15:30 - 16:00 Coffee break
16:00 - 17:15 Elaine Landry Breaking Benacerraf
Tuesday May 14th, 2024
10:00 - 11:15 Bahram Assadian Cross-structural identities
11:15 - 11:45 Coffee break
11:45 - 12:45 Ludovica Conti Arbitrary Logicism and Structuralism
12:45 - 14:15 Lunch break
14:15 - 15:15 Alex Paseau Four Metaphysical Objections to Plenitudinous Platonism
15:15 - 15:45 Coffee break
15:45 - 17:00 Jessica Carter Structuralism in mathematical practice
Participation Cost: Free admission. Everybody is welcome.
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 890376.
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May 12, 2024, 11:00pm BST
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