117. Geoffrey Hellman | Math Without Numbers
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Geoffrey Hellman is Professor of Philosophy at the University of Minnesota. His work focuses on the philosophy of mathematics, logic, science and metaphysics.
00:00 - Preview
00:44 - Introduction
01:26 - Overview
09:25 - History and development
1:00:05 - Motivating the view
1:26:22 - Modal structuralism
1:49:37 - Proposed semantics
1:55:14 - Other abstracta
2:04:04 - Logical possibilities
2:11:52 - Logical truths and nominalism
2:21:20 - Compatibility with other views
2:24:34 - Indispensability arguments
2:38:31 - Non-classical mathematics
2:59:14 - Classical mathematics with non-classical logic
3:02:40 - Value of philosophy
3:14:14 - Conclusion
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