Neil Alexander Barton
I’m primarily concerned with the foundations of mathematics (though I have interests in several areas of philosophy and logic). I investigate different systems (both philosophical and mathematical) for representing our mathematical reasoning and results, and compare and contrast their features. In particular, I’m interested in issues surrounding pluralism and perspectivalism: The idea that there might be more than one legitimate point of view to take on mathematical reality.
Always a fun exercise: Here’s a description of my research only using the ten-hundred (i.e. a thousand) most-used words:
Numbers are really important for understanding the world. What ways can we talk about numbers? How can we show that an idea about them is either okay or, even better, good? I look at how we can form these ideas, and also the best ways for showing new stuff about numbers.
Try it yourself.
I finished my PhD in 2017 at Birkbeck College, University of London. Before joining the IFIKK I've been a postdoc at the Kurt Gödel Research Center at the University of Vienna and the Zukunftskolleg at the University of Konstanz.
- FIL2405/4405: Philosophical Logic and the Philosophy of Mathematics. Web.
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