extended abstract (pdf)
Where: Boston University
When: Friday, March 27 CANCELED
also accepted for presentation at Logical Perspectives 2020 DELAYED until June 2021
March 5, 2020
Computer-Assisted Proofs and Mathematical Understanding: the Case of Univalent Foundations
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February 10, 2020
Scientific Progress and Its Vulnerability
upcoming talk.
Were: the University of Turku, Philosophers’ Club (Spring 2020 Program)
When: Friday, April 24, 2020DELAYED
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August 23, 2019
Knowledge Representation with HoTT
Contributed talk at the Studia Logica Conference Trends in Logic 19, Moscow, HSE, October 2-4, 2019 (abstract) (slides)
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Knowledge, Truth and Technological Change
invited lecture in the Innopolis University, 19 August 2019 (abstract)(slides)
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Formal Proof-Verification and Mathematical Intuition.
Contributed talk at the INTERNATIONAL CONGRESS OF LOGIC, METHODOLOGY AND PHILOSOPHY OF SCIENCE AND TECHNOLOGY (CLMPST2019) PRAGUE, 5–10 August 2019 (program) (abstract) (full slides)(light slides)I
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June 5, 2019
Knowledge Representation with HoTT
Contributed talk at the 25th International Conference on Types for Proofs and Programs, June 11-14, 2019, Oslo, Norway
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June 3, 2019
Truth and Justification in Knowledge Representation
Invited talk at the 3d International Workshop “Formal Concept Analysis for Knowledge Discovery” (jww Serge Kovalyov)
When: Friday June 7, 2019
Where: Department of Computer Science, Higher School of Economics (Moscow, 3 Kochnovsky Proezd)
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May 17, 2019
А.С. Есенин-Вольпин о верховенстве закона в логике, математике и общественной жизни”
14 мая 2019 года в Институте философии РАН в рамках проекта «Философская мастерская» состоялся круглый стол
“А.С. Есенин-Вольпин о верховенстве закона в логике, математике и общественной жизни” .
Участники: Р.Г. Апресян, д.ф.н., главный научный сотрудник, руководитель сектора этики Института философии РАН; В.А. Лекторский, академик РАН, д.ф.н., главный научный сотрудник сектора теории познания Института философии РАН; Г.Б. Шабат, д.физ.-мат.н., профессор кафедры математики, логики и интеллектуальных систем в гуманитарной сфере РГГУ.
Модератор к.ф.н. А.В. Родин, со-модератор проф. РАН, д.ф.н. Ю.В. Синеокая.
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April 24, 2019
Directed Homotopy Type Theory and the (In)vertibility of Mathematics
Speaker: Andrei Rodin, Russian Academy of Sciences
When: Wednesday April 24, 2019, 7:00 – 8:30 PM.
Where: Graduate Centre CUNY, (365 5th Ave, New York, NY 10016), room 6417
Abstract:
Directed Homotopy Type theory (DHTT) is a generalization of Homotopy Type theory (HoTT) where fundamental groupoids of spaces are replaced by more general (higher) categories. Along with type formers for identity types which admit the standard HoTT interpretation in terms of invertible paths and their homotopies, DHTT comprises type formers for non-invertable homomorphisms of all levels which admit an interpreation in terms of non-invertable paths in appropriate spaces. The choice between DHTT and HoTT as foundational formal frameworks for building mathematical theories has an epistemological dimension, which concerns the epistemic significance of the invertibility condition. While HoTT and the related notion of Univalent Foundations support Mathematical Structuralism DHTT supports a more dynamic conception of Mathematics, which I shall outline in my talk.
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March 13, 2019
Reflections on the Foundations of Mathematics
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