My favorite topic are natural numbers.
In addition to my formal research, I think a lot about the role of digitalisation (so, natural numbers, in some way) in the most contemporary social change. I investigate social media, in particular, video games and online-dating services. I look into problems related to Big Data, including ethical inquiry. I analyze roles that robots and avatars play – or might play, or will play – in the society. You can read about it here.
I do research on:
Conceptual engineering applied to concepts used in number cognition
November 2014 I spent at Munich Center for Mathematical Philosophy (MCMP).
Computational structuralism is a relatively new position in philosophy of mathematics, according to which the concept of natural number is the most adequately defined when computable features of numbers are taken into account in the first place [Dean 2002], [Halbach-Horsten 2005], [Quinon-Zdanowski 2007].