I recently read "Wittgenstein's lectures on the foundations of mathematics", a book written from notes of students of wittgenstein during his series of lectures on mathematics. I found it interesting, and was wondering if anyone has read it and their thoughts of it, as well as if anyone are familiar with his view on mathematics. He challenges the commonly understood notions of mathematics, and particular what a mathematical statement is. He has definite constructivist and finitistic tendencies, and spends a lot of time arguing against formal frameworks such as - and in particular - set theory as a foundation of mathematics. Any thoughts or objections to his point of view?