People forget that Alan Turing's essay "Computing Machinery and Intelligence" was published in Mind, a major philosophy journal. People forget that Boolean algebra comes from a work called "The Laws of Thought," where Boole tries to describe the algebraic operations underlying thought. If you think that isn't something "philosophers do," this is an ancient goal stretching back to Aristotle's logic, up through Descart…
also relevant: https://xkcd.com/435 - if it went further to the right Mathematics is just applied Philosophy.