Putting Notions in Motion: Epistemological Leaps in Model Building

“Tarski has stressed in his lecture (and I think justly) the great importance of the concept of Turing's computability. It seems to me that this importance is largely due to the fact that with this concept one has for the first time succeeded in giving an absolute notion to an interesting epistemological notion, i.e., one …

The Empirical Heart of Mathematics

Mathematics is often grouped together with the many other sciences, despite science supposedly being an empirical study of some domain; while math for centuries has been claimed by the rationalists. I argue however that math is indeed a kind of science, albeit a very strange one. While physics is the study of natural laws, chemistry …