Define "resources".

If we want to speak in absolutes, entropy cannot be reduced; we will only capture so much energy over time, and I refer you to http://www.thelastquestion.net/

If we get a little zen and allow for the ever-elusive human joy to be the ultimate resource, then I'm not sure we can necessarily say that it's finite. I guess without humans there can be no human joy, but why not machine/post/trans-human joy?

Whoever dies with the most toys wins, right? :)