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Luciano Anastassiou

Friars School

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Is the universe finite or infinte.

The two scenarios in the debate:

The universe is infinte because numbers are infinite, and something that is finite cannot contain something that is infinite.
E.G a chocolate bar cannot contain infinite cocoa.

The universe is finite, it as a beginning and end, and there is no such thing as infinite numbers because the biggest number would be the amount of the smallest quanta contained in the universe.
E.G the amount of the smallest particle in the universe = the biggest number

These two are currently merged and I believe in modern day science they contradict each other.

Feel free to add more points to the discussion

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  • Aug 5 2011: I'm not really seeing the logic point you're trying to make by saying a universe in which the natural numbers exist can't be finite. Consider this:

    The universe doesn't contain an instance of every natural number. It can merely contain the natural numbers as a concept in the same way an ideal Turing Machine can theoretically enumerate every single natural number with only a finite amount of internal states (finite intelligence, infinite conceptual numbers)
    Another way of putting this: just because we can think of infinite numbers doesn't mean there's infinitely many *things* in the universe.

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