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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 261,987 of 262,912    |
|    wm to All    |
|    Re: Dark Points    |
|    17 Dec 25 19:22:28    |
      From: wolfgang.mueckenheim@tha.de              Am 17.12.2025 um 11:10 schrieb Mikko:       > On 15/12/2025 19:18, wm wrote:       >> The actual infinity is for instance when we "consider the points of an       >> interval as a totality that is completely existing" [Hilbert, 1925].       >> The points of a line, when completely existing, have a first and a       >> last one because never two or more can exist besides each other. This       >> cannot happen other than by dark points.       > As no definition of "dark point" is given it is possible that no point       > is dark and that every point is dark. The "proof" does not identify       > any feature of a point that would dfferentiate dark from non-dark.       >       Dark points are existing but cannot be identified by their co-ordinates.       The existence of such points is clearly proven by the first and and the       last point of an open interval.              Regards, WM              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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