# Seminars & Colloquia Calendar

## Rethinking the Foundations of Mathematics and its Practical Consequences

#### Jonathan Lenchner, IBM T.J. Watson Research Center, Yorktown Heights, NY

Location: ** via Zoom: link https://rutgers.zoom.us/j/94346444480 [password: 6564120420 ]**

Date & time: Thursday, 12 November 2020 at 5:00PM - 6:00PM

*Abstract:* In this talk I shall argue that we should recast the foundations of mathematics using the foundational notion of a bit, rather than the much more ambiguous notion of a set, and the axiomatic assumption that infinite sets exist, whatever that might mean. I shall argue that mathematics and physics are inextricably connected and that treating mathematics axiomatically, and believing that mathematical objects like points, lines or even simple infinite decimal expansions like 0.1111 exist in some Platonic idealist sense, is just coercing mathematics into some meaningless ideal form. I will try to convince you that the deepest questions are not about some large cardinals that are inexpressible in the language of set theory (so-called inaccessible cardinals), but about extremely large natural numbers that we are unable to express in any way given a finite universe and so finite rewritable memories and finite computational power. Forget about infinite cardinal numbers, do these finite numbers exist or not? What precisely do we mean by expressibility, specifically expressibility in N bits? What are the limits of our expresibility? What do these questions say about the limitations of what is provable about arithmetic, or about finite structures like graphs?

Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Brooke Ogrodnik, Website

Robert Dougherty-Bliss and Doron Zeilberger --> homepage

Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Quentin Dubroff Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

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