Philosophy of Physics - space and time | History of philosophy of science | Philosophy of Mathematics Key Ballroom 09 Hybrid Presentation
12 Nov 2021 10:45 AM - 12:15 PM(America/New_York)
20211112T1045 20211112T1215 America/New_York History of Physics Key Ballroom 09 PSA 2020/2021
How Much Change is Too Much Change? Rethinking the Reasons Behind the Lack of Reception to Brouwer’s Intuitionism
Contributed Paper 10:45 AM - 11:15 AM (America/New_York) 2021/11/12 15:45:00 UTC - 2021/11/12 16:15:00 UTC

The paper analyzes Brouwer's intuitionistic attempt to reform mathematics through the prism of Leo Corry's philosophical model of "body" and "image" of knowledge. Such an analysis sheds new light on the question of whether Brouwer's intuitionism could at all be attractive to broader groups of mathematicians. It focuses on three characteristics that are unique to Bouwer's reformation attempt and suggests that when considered together, they combine to provide a more complex understanding of the reasons behind the lack of reception to Brouwer's intuitionism than any of the three can offer alone.

Kati Kish Bar-On
The Cohn Institute For The History And Philosophy Of Science And Ideas, Tel Aviv University
Du Châtelet on the Need for Mathematics in Physics
Contributed Paper 11:15 AM - 11:45 AM (America/New_York) 2021/11/12 16:15:00 UTC - 2021/11/12 16:45:00 UTC

Christian Wolff (1679-1754) and Emilie du Châtelet (1706-1749) are idealists about mathematical objects. Du Châtelet is often regarded as a Wolffian. But unlike him, I argue, she insists that mathematics is indispensable to an account of physical reality. I reconstruct three ways in which du Châtelet vindicates the use of mathematics within an idealist framework, focusing on her claims that representations that are strictly false can play a legitimate explanatory role. Further, I note some differences between her assumptions and those underlying recent debates on mathematical indispensability, suggesting that the type of position she holds remains relatively neglected.

Aaron Wells
University Of Notre Dame
Emergent Space Ontologies in the Early Modern Period
Contributed Paper 11:45 AM - 12:15 PM (America/New_York) 2021/11/12 16:45:00 UTC - 2021/11/12 17:15:00 UTC

Abstract: Many quantum gravity hypotheses posit an emergent spacetime wherein the topological and metrical structures at the macrolovel arise from material processes at the microlevel that possess significantly different geometrical structures. While these emergent spacetime hypotheses may seem totally unprecedented as regards their goals and general strategy, there are a number of precursors to this general scheme in the natural philosophy of the Early Modern period, especially in the later Leibniz and the precritical Kant. In this presentation, an examination of these forerunners to the emergent spacetime approach will demonstrate, against various critics, that the theme of spatial emergence is an historically well-established option.

Edward Slowik
Winona State University
The Cohn Institute for the History and Philosophy of Science and Ideas, Tel Aviv University
University of Notre Dame
Winona State University
University of Illinois at Chicago
University of Western Ontario
The Hebrew University of Jerusalem
Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-University, Munich
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