> On 1 Jun 2020, at 15:55, Alan Grayson <agrayson2...@gmail.com> wrote:
> 
> 
> 
> On Monday, June 1, 2020 at 7:31:14 AM UTC-6, Alan Grayson wrote:
> 
> 
> On Monday, May 18, 2020 at 9:20:36 PM UTC-6, Jason wrote:
> I recently wrote an article on the size of the universe and the scope of 
> reality:
> https://alwaysasking.com/how-big-is-the-universe/ 
> <https://alwaysasking.com/how-big-is-the-universe/>
> 
> It's first of what I hope will be a series of articles which are largely 
> inspired by some of the conversations I've enjoyed here. It covers many 
> topics including the historic discoveries, the big bang, inflation, string 
> theory, and mathematical realism.
> 
> Jason
> 
> You claim, 
> "Every very finite sequence recurs an infinite number of times precisely 
> because Pi goes on forever." Can you prove it? AG


I asked Jason, why use PI? It has not been proved fro Pi, but it has been 
proved for some other constructive real numbers.


Bruno



> 
> What you claim above is probably true, but doesn't apply to a universe where 
> space is infinitely divisible since there exists an uncountable set of 
> possible material configerations, as my example below demonstrates. AG
> 
> "Similarly, should space go on forever then every possible finite arrangement 
> of matter occurs in an infinite number of locations." Even in a finite 
> universe, assuming space is infinitely divisible, this is false IMO. For 
> example, if we live in a finite 4 dimensional hypersphere with only one 
> particle, it can be placed in infinitely different locations and no repeats 
> is plausible.  AG
> 
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