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On 10/7/2024 4:20 AM, Richard Damon wrote:The problem with his "Actual infinity" is you need to get rid of the ... (as that is generative) and put in the full list of the number.On 10/7/24 5:51 AM, WM wrote:If each one of these is "fixed" in your line of thinking: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.>
But you can't determine the smallest unit fraction although it is a singleton set, a point on the real axis.
There is no smallest unit fraction.
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.
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The problem is we can't have an infinite set of fixed points, as we are finite.
1/1, 1/2, 1/3, 1/4, 1/5, ...
Well, there are infinitely many of them... ;^)
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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.
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