Is the “infinity” between numbers actually infinite?

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Can numbers get so small (or so large) that there is kind of a “planck length” effect where you just can’t get any smaller? Or is it really possible to have 1.000000…(infinite)1

EDIT: I know planck length is not a mathmatical function, I just used it as an anology for “smallest thing technically mesurable,” hence the quotation marks and “kind of.”

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Anonymous 0 Comments

Acutally yes! There are infinite numbers between 2 number! In fact There are more numbers between 2 whole numbers then whole numbers themselves! Even though they are both infinite we have proven there are more!

It is difficult to explain in words but the numbers between 2 numbers are part of a class of numbers called uncountable infinites, while whole numbers are countable infinite.

There is an excellent video by vertasium called. “How an infinite hotel ran out of rooms” it covers the same concept I mentioned here where some infinites are larger!

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