[turminal]

> there is no way to scientifically differentiate between an infinite quantity and a really huge quantity (same for infinitesimals), in finite time

That depends on the model of computation you pick, doesn't it?

[tsimionescu]

Only if you want to think about models of computation that allow performing infinite operations in finite amounts of time, which I don't think are that interesting.

[auggierose]

I'd say if our universe makes such computations possible, then that would be very interesting.

[tsimionescu]

Absolutely! Similarly, if our universe allowed instantaneous travel and free energy, that would also be very interesting.

Not holding my breath for either.

[auggierose]

The fact that you can breath at all is quite a miracle. Not sure why you are so pessimistic about the rest.