**Dr. Casper Storm Hansen**

## Areas of specialization:

Philosophy of Mathematics, Logic, Philosophy of Language, Metaphysics, Decision Theory

## Areas of competence:

Epistemology, Philosophy of Science, History of Analytic Philosophy, Early Modern Philosophy

## Personal website

I am working on a nominalistic philosophy of mathematics. That is, I try to show that mathematics can get by without a need to assume the existence of abstract objects. I believe that a mathematical ontology consisting of possible sentences plus human beings’ ability to commit to conventional truth conditions for those sentences will suffice. However, I do not think it suffices for *classi**cal* (i.e. mainstream) mathematics, just that it suffices for a mathematics that again suffices for the empirical sciences. An important part of my project is to develop this non-classical mathematics in detail. Thus, in order to do philosophy of mathematics, I do a lot of mathematics.

My philosophy of mathematics is closely connected to a conventionalist solution to the semantic paradoxes that I have developed (see my personal website for a draft paper). I can also sometimes be caught working on projects concerned with supertasks, decision theory, and principles of probability.

## Recent Publications:

- On Fair Countable Lotteries. Forthcoming in
*Philosophical Studies*. - Unified Grounding.
*Erkenntnis 81*(2016), 993-1010. - The Temperature Paradox and Russell’s Analysis of the Definite Determiner.
*Linguistic Inquiry 47*(2016), 695-705. - Brouwer’s Conception of Truth.
*Philosophia Mathematica**24*(2016), 379-400. - Double Up on Heaven.
*Thought 4*(2015), 213-214.