ABSTRACT

In the Antinomies Kant purports both to derive a contradiction from the assumption that the universe had a beginning in time and to derive a contradiction from the assumption that the universe had no beginning in time. Swinburne's argument is rather reminiscent of the following argument of Aristotle's for unbounded past and future time. Swinburne, for instance, speaks of the ordinary concept of time. In the world many series of things can, indeed, begin; but the world itself cannot have a beginning, and is therefore infinite in respect of past time. For it has become common to interpret the work on singularities in General Relativity as showing that that the theory admits of the possibility of 'black holes' which are singularities where density is infinite. The mathematical system of the real numbers used to represent the temperature of bodies admits extrapolation below —273.16 °C.