Friday, April 9, 2021

What is mathematics about?

I commend to you James Franklin’s latest article “Mathematics as a Science of Nonabstract Reality: Aristotelian Realist Philosophies of Mathematics.”  It’s a helpful brief survey of different ways that an Aristotelian alternative to Platonist and nominalist approaches to mathematics might be developed.  (Franklin explores these issues in greater depth in his book An Aristotelian Realist Philosophy of Mathematics.) 

Friday, April 2, 2021

Frege on objectivity

It can be an interesting exercise every now and then to reread something that had a profound effect on you earlier in life.  In my case, Gottlob Frege’s grand 1918 essay “The Thought” is a piece that I find always repays renewed study.  I think I first read it almost 30 years ago, and it was one of several philosophical works on thought and language that began to break the hold on me of the metaphysical naturalism I had picked up as an undergraduate – though that was a slow process, taking a decade fully to unfold.