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