David Corfield: "Philosophical perspectives on category theory" скачать в хорошем качестве

David Corfield: "Philosophical perspectives on category theory"

Topos Institute Colloquium, 9th of March 2023. ——— For the whole length of my academic career, I have looked to make philosophical sense of (higher) category theory. My earliest interests concerned category theory as a new structuralist foundational language for mathematics and for mathematical physics. Later at the n-Category Café there were also attempts to make category-theoretic sense of probability theory, learning theory and diagrammatic reasoning. Today, alongside successes in logic, mathematics and physics, we find a flourishing world of applied category theory, involving work in probability theory, causal reasoning, learning theory, natural language processing, and so on. These are all topics of profound interest to philosophy. In this talk, I will discuss ways in which philosophy can come into a fruitful relationship with category theory.