2-Day conference

CHALLENGING THE INFINITE:

debating the viability of potential infinity in the foundations of mathematics

Oxford University Monday 11th - Tuesday 12th March 2024

The problem of the infinite is difficult: many contradictions result whether we suppose it to exist or not to exist.

Aristotle, Physics Bk III.4

ABOUT THE CONFERENCE

The conference aims to foster greater debate and dialogue about the costs and benefits of potentialism in mathematics. In recent years there has been a resurgence of interest in potential infinity in a variety of forms, most notably (though certainly not exclusively) in Modal Potentialism.

The exploration of potentialism emerges from different motivations and philosophical projects. For some it offers a more rigorous account of the iterative conception of sets; for others it is part of a broader pluralism about mathematics; whilst for others still who have lingering scepticism about the philosophical plausibility of actual infinity, potentialism offers a less problematic way to interpret much of the work traditionally done in actualist set theory and mathematics......

Provisional Schedule Subject to Change.

09:30 - 10:05

Registration

11:20 - 11:50

Contingentist Sets as Potentialist Properties
James Studd

11:50 - 13:05

13:05 - 14:30

14:30 - 15:45

15:45 - 16:15

16:15 - 17:30

Intensional Classes and Strict Potentialism
Øystein Linnebo & Stewart Shapiro
Monday 11th

10:05 - 11:20

Coffee/Tea Break

What if your potentialism is implicitly actualist?

Joel David Hamkins
Lunch Break
Why Be a Height Potentialist?
Zeynep Soysal
Coffee/Tea Break

Conference Dinner for the Speakers

09:00 - 09:30

Tuesday 12th
Doors Open

09:30 - 10:45

Why I am not a (Height-)Potentialist
Tim Button
Arbitrariness Worries and Motivating Potentialist Set Theory
Sharon Berry
A Paradox for Modal Potentialism

Boaz Laan

Modal Set Theory and Modal-Structural Interpretation vis-à-vis Critics and then Each Other
Geoffrey Hellman
Coffee/Tea Break
Coffee/Tea Break

11:15 - 12:30

10:45 - 11:15

12:30 - 14:30

14:30 - 15:45

15:45 - 16:15

16:15 - 17:30

Lunch Break

19:30

19:30

Conference Dinner for Speakers and Attendees

COnference speakers

We are delighted that the following have confirmed that they will be speaking at the conference.

Tim Button

University College London

Sharon Berry

Joel David Hamkins

Notre Dame / Oxford

Geoffrey Hellman

University of Minnesota

Oystein Linnebo

University of Oslo

Stewart Shapiro

Ohio State University

University of Indiana

Zeynep Sosyal

University of Rochester

University of Oxford

James Studd

Boaz Laan

University of Oxford

Venue

St Luke's, Radcliffe Observatory Quarter
Oxford, OX2 6GG

Contact

conference@challengingtheinfinite.com

Register below

Venue Information

Venue MAP

Venue

St Luke's, Radcliffe Observatory Quarter
Oxford, OX2 6GG

Contact Info

Venue

St Luke's, Radcliffe Observatory Quarter
Oxford, OX2 6GG

Contact

conference@challengetheinfinite.com

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