This will be a talk for the Logic Advanced Class at the Andrew Wiles Building in Oxford on the June 5th 2023 at 11 am local time. This presentation will draw upon a circulating preprint of my forthcoming article bearing the same title. The project has been supervised by Joel David Hamkins. I shall explore […]Read More The modal theory of the category of sets, June 2023
I shall give the third in a series of talks on the unification of different parts of mathematics at the University of Gdańsk. The talk shall take place on 13 December 2022 at 10:15 local time in room 130, Faculty of Mathematics, Physics, and Informatics. Abstract. One of the central incentives of the rise of […]Read More Modal logic: a unified approach to category theory and model theory
Last week, I had the great pleasure of attending a master class tutorial on potentialism, a part of a two-day event with Joel David Hamkins dedicated to the decennial anniversary of his multiverse theory held at the University of Konstanz. One of the topics discussed was a situation where one or more individuals cease to […]Read More On the failure of identity
This was a talk for the Junior Logic Seminar at the University of Oxford, 7th of June 2022. Abstract. I shall investigate the modal theories and validities in a variety of cases arising from the archetypical concrete category of sets and functions. I introduce new insights into the method of control statements, answering a MathOverflow […]Read More Modal theory of the category of sets
I shall speak about some recent developments on the subject of modal model theory for the Junior Logic Seminar at the University of Oxford. The talk, titled The Mathematical Multiverse, will take place at the Mathematical Institute on November 16, 2021 at 5PM UK time. Please contact Brian Tyrrell should you like to join us. […]Read More The Mathematical Multiverse
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 […]Read More Modal model theory
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 […]Read More What complex numbers can tell us about the Multiverse?
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 […]Read More University of Oxford