Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

On 10/20/24 3:15 PM, WM wrote:

On 20.10.2024 13:55, Richard Damon wrote:

On 10/20/24 3:54 AM, WM wrote:

On 20.10.2024 04:48, Richard Damon wrote:
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Which is what builds the actual infinite set. "Actual Infinity" is what you get when you conplete that construction process.

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If it is completed and then all numbers are doubled, what do you get then?
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A set of exactly the same size using only some of the numbers of the original set.
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That is part of the property of the infinite.

 When a set of numbers is mapped then the number of numbers remains fixed.
 Regards, WM
 

Right, so the "ALeph_0" Natural Numbers were mapped to the Even Natural Numbers, a set with exactly that same size, which is also a proper subset of it.
Something that can only happen in infinite sets.