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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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