I haved added this in as a seperate post for you socratus because you may wish to pick it up as a seperate theme.
Your problem with infinity above has a similar play out in religion where school children can prove to you there is NO GOD. Surely growing up you heard it.
The child proof goes like this:
- If there is a divine god he can do anything.
- If he can do anything then he can make a rock so heavy he can't lift it.
- If he can't lift a rock he can't do everything
- Therefore there is no god.
It's an amusing child paradox (http://en.wikipedia.org/wiki/Omnipotence_paradox
Actually reading the article what I found funny is they don't resolve the paradox the way I do. I find there is a trivial way to resolve the paradox and it brings up an interesting thing.
This is actually the exact same problem you are levelling at science with infinity just in a different way. So I am interested how you resolve the paradox.
I had never really thought about this before but it is interesting god or science you still end up in a paradox on how this universe works.