ABSTRACT
My discussion of the "mathematical" antinomies will proceed as follows. First, I shall set out the arguments in which Kant claims to display the "conflicts of pure reason with itself", together with some standard, and some less standard, objections to those arguments. Then I shall re-present the issues in such a way as to show how one general form of "solution" is supposed to fit each of the "conflicts" concerned. Next, I shall distinguish and discuss three interpretations of this general form of solution, each corresponding to a different version of transcendental idealism. I shall mention a fourth version of transcendental idealism, only to show that it does not generate a fourth interpretation of the solution. Finally I shall consider the cosmological questions themselves which are supposed to give rise to the conflicts, together with some non-Kantian lines of thought about them.
