An Aside about Wittgenstein and Math
I haven't really studied Wittgenstein's philosophy of mathematics. I read the entry in the Stanford Encyclopedia of Philosophy on this subject, which I highly recommend. This does NOT qualify me as anywhere near an expert on this subject, but since I've studied math in my life it was interesting to read, whether I completely agree, or even understand, or not. My own experience of math has had moments where I felt like I was entering a Platonic realm. But, according to what I read, Wittgenstein will have none of this! If you're like me, and you've experienced an other worldly sensation sometimes in math -- something unexpected suddenly makes sense, like coming over a hill and seeing an awesome view, a space that you can't help but believe somehow existed before you got there -- then you might not like his philosophy. The Encyclopedia says Wittgenstein insisted that math was invented, not discovered. It is a language game that involves truth. He famously rej...