The Logical Perspectives event series aims at bringing together distinguished logicians to present their perspectives on the future of the field and to discuss major open problems. In particular, it includes a series of online events, called Open Lectures. The first and second editions of the Open Lectures were held back in 2020 and 2022. The third edition will be held in 2025. It will include three lectures, which are intended for a broad audience, and there will be ample time for discussion after each lecture.

The schedule is as follows. Note that Time is UTC+3 (Moscow).

Monday, September 8

16:00–17:15 — Alexander Razborov (University of Chicago, Steklov Mathematical Institute): Propositional Proof Complexity — Room 110 + online

Propositional proof complexity studies efficient provability of quantifier-free statements in various proof systems and under various notions of efficiency. In this talk I will attempt to convey some of its basic concepts, ideas and results, including numerous connections to other areas in logic, theoretical computer science and beyond.

17:15–17:45 — Discussion

Monday, September 15

16:00–17:15 — Harvey Friedman (Ohio State University): Foundational Adventures — online

I am a foundationalist. I will talk about my foundational adventures from ages 7–77, in mathematics, piano, and chess. As expected, ambitions go far beyond limited achievements. The foundations of mathematics, by far the most highly developed and successful corner of foundations (with foundations of computer science a distant second), has a great future not only in and of itself, but also as a guiding force to ignite the other comparatively backwards foundational enterprises.

17:15–17:45 — Discussion

17:45–18:15 — Break

18:15–19:30 — Walter Carnielli (State University of Campinas): Negation, Denial, Falsity, Inconsistency, and Counterevidence: Some Informal and Formal Perspectives — online

While the Western tradition often treats the elusive notion of negation as secondary to affirmation, Eastern traditions regard emptiness or non-being as more fundamental. This talk examines negation, denial, consistency, inconsistency, evidence, and counterevidence through contemporary systems such as intuitionistic, paraconsistent, and modal logics, as well as logics of evidence and truth, trying to illuminate the structure of negation and its broader role in reasoning.

19:30–20:00 — Discussion