ABSTRACT
As we examine Wittgenstein's later treatment of mathematics, it will become evident that much is carried over from the Tractarian period. He never goes back on the idea that there are no logical or mathematical objects. This is the advanced idea of the Tractatus—the part that breaks with the primitive idea that words stand for things. Indeed, one useful way of viewing Wittgenstein's philosophical development is as a progressive expansion of this insight he first had with respect to logical and mathematical terms: not all terms function as proxies for objects.
