Playing with pebbles on the multiverse

Please find a recording below of a mini-talk I gave during Set Theory in The United Kingdom @ Home on December 4, 2020. We generalize Ehrenfeucht–Fraïssé games from classic model theory to modal model theory with actuality. Please note that it has come to my attention during the talk that Sam Adam-Day had considered modal […]

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Modal model theory

This blog post from August 2019 now includes an update with regard to a result that is now revoked. Research has its ups and downs… I would like to share with you a brief description of what I have been doing at Oxford for the past eight months. Since my adviser has already written about […]

A half-pie ratio

Allow me to tell you about an interesting construction I learned from the Stewart’s Calculus book. Start with a square of area one. Next, extend your current rectangle, alternately, on top or beside, by another rectangle of area one. The first 500 steps of this construction are shown below. If you watch the animation carefully, you […]

Think you have a choice? Vitali’s revenge

I learned a fascinating fact a few weeks ago at the Philosophy of Mathematics, graduate lecture seminar at the University of Oxford. That week’s discussion was led by Professor Hamkins and concerned a remarkable book Defending the Axioms: On the Philosophical Foundations of Set Theory written by Penelope Maddy, logic and philosophy of science Distinguished […]

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​What complex numbers can tell us about the Multiverse?

There is an ongoing debate among mathematicians and philosophers on the nature of the realm where all mathematical activities are performed. But, before I pose the problem, we need to answer a pertinent question: “A realm? Do you mean like… our minds or what?” No. I mean metaphysical entity mathematicians are studying just like physicists […]

This was a talk for “Academic English: Spoken Communication 2” that I gave last Thursday. Please note that this presentation was aimed for non-mathematicians and non-philosophers. Thus, I concealed any anxiety about the topic for clarity’s sake. There is a short clip on the second slide and a GIF on the third one. Unfortunately, these […]

University of Oxford

I shall take up a place as a Recognised Student in the Faculty of Philosophy at the University of Oxford starting 7th January 2019. I shall be undertaking research on the topic of “the philosophical consequences of recent advancements in ‘Multiverse inspired mathematics.” My academic adviser will be Professor Joel David Hamkins. I anticipate this […]