About the conference:

\nThe 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. &ldquo\;mathematical structuralism&rdquo\; and &ldquo\;mathematical fictionalism&rdquo\;. 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:

\n- Do either structuralism or fictionalism offer a philosophically viable foundation for modern mathematics?

\n- To what extent are structuralism and fictionalism faithful to mathematical practice?

\n- What are the connections between the structuralist and fictionalist approaches to the philosophy of mathematics?

\n- How do mathematicians think about meaning\, reference\, and truth in mathematics?

\nProvisional schedule:

\nMonday May 13th\, 2024

\n09:45 - 10:00 Welcome

\n10:00 - 11:15 Otá\;vio Bueno Why a Mathematical Fictionalist Should Be a Structuralist about Mathematics

\n11:15 - 11:45 Coffee break

\n11:45 - 13:00 Mary Leng and John Wigglesworth Fictionalist Mathematical Structuralism

\n13:00 - 14:30 Lunch break

\n14:30 - 15:30 Georg Schiemer What is implicit structure?

\n15:30 - 16:00 Coffee break

\n16:00 - 17:15 Elaine Landry Breaking Benacerraf

\nTuesday May 14th\, 2024

\n10:00 - 11:15 Bahram Assadian Cross-structural identities

\n11:15 - 11:45 Coffee break

\n11:45 - 12:45 Ludovica Conti Arbitrary Logicism and Structuralism

\n12:45 - 14:15 Lunch break

\n14:15 - 15:15 Alex Paseau Four Metaphysical Objections to Plenitudinous Platonism

\n15:15 - 15:45 Coffee break

\n15:45 - 17:00 Jessica Carter Structuralism in mathematical practice

\nParticipation Cost: \; Free admission. Everybody is welcome. \; \;

\nThis project has received funding from the European Union&rsquo\;s Horizon 2020 research and innovation programme under the Marie SkÅ‚odowska-Curie grant agreement No 890376. \;

ORGANIZER;CN=Mary Leng;CN=John Wigglesworth: METHOD:PUBLISH END:VEVENT END:VCALENDAR