General Relativity is a theory of a continuous space-time, and Quantum Field Theory os a theory of continuous fields in a continuous space-time. — tom
There is precisely zero evidence for a discrete space-time. — tom
And, despite your claim, String Theory also takes place in a continuous space-time. — tom
That's not sufficient to dismiss any theory that suggests that it is discrete, hence why such theories are studied. And I would argue that the logic of Zeno's paradox and supertasks would suggest that such theories must be correct. — Michael
I am sorry, but this is where I lose respect for philosophy. Zeno's paradox certainly don't prove such theories "must be correct". That is a very bold claim of the back of a few conceptual paradoxes whose relation is a subjective classification called supertask. — Jeremiah
Even if the net sum is finite, if it were infinitely divisible, you'd always have one more halfway point to reach. In fact, the paradox would damn us all to complete inertia, because there's halfway points between us and the halfway points, and halfway points to those, etc. — NKBJ
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