If actual infinities are ruled out by Craig's reasoning, the continuous spacetime manifolds and infinite-dimensional Hilbert spaces employed in modern physics would also be metaphysically impossible, an implausible conclusion.
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continuous(Used to characterize the divisibility of appearances and of space and time)
Infinitely, or at least limitlessly, divisible.
implausible conclusion(as evaluating the consequence of Craig's argument)
A result or outcome that seems unlikely or unreasonable to believe, even if someone's logical argument technically leads there.
infinite-dimensional(as describing properties of mathematical spaces in physics)
Having an unlimited number of dimensions or directions. In normal space we have three dimensions, but in advanced physics mathematics, we use spaces with infinitely many.
spacetime manifolds(as a concept from physics and mathematics)
A mathematical way physicists describe the universe as a four-dimensional space that combines the three dimensions we see (length, width, height) with time. Think of it as the fabric or stage on which everything happens.