ABSTRACT
The first issue of infinity about space and time that occurs to many is the issue about whether space and time extend infinitely. The consensus these days seems to be that this is an issue for cosmologists more than philosophers, though some philosophers still object to the idea that the past even could be infinite. A “potential infinity” could mean one of two things. The first is that there is, in fact, only a finitude, but it is just that this finite collection could be increased or could be extended. The other way to think about potential infinities is to think that there is indeed an infinite collection (regions of space, counting numbers, etc.), but that many members of that collection only have potential existence: they are not yet “actualised.” Infinities are often discussed when “infinite-regress arguments” are deployed to try to prove metaphysical conclusions.
