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

On 10/7/2024 4:20 AM, Richard Damon wrote:

On 10/7/24 5:51 AM, WM wrote:

On 07.10.2024 11:36, FromTheRafters wrote:

WM formulated the question :

On 06.10.2024 19:03, FromTheRafters wrote:

A set is a collection of well-defined objects, meaning we must be able to determine if an element belongs to a particulr set.

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But you can't determine the smallest unit fraction although it is a singleton set, a point on the real axis.

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There is no smallest unit fraction.

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If there are only fixed points, then there is a point such that between it and zero there is no further point.
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Regards, WM
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 Nope, not if you have an INFINITE set of fixed points.
 The problem is we can't have an infinite set of fixed points, as we are finite.

If each one of these is "fixed" in your line of thinking:
1/1, 1/2, 1/3, 1/4, 1/5, ...
Well, there are infinitely many of them... ;^)

 So, your "actual infinity" is something beyond what we can have, so it doesn't exist for us, and logic that assumes it is just breaks.