On Monday, January 13, 2020 at 11:12:36 AM UTC-7, Brent wrote:
>
>
>
> On 1/13/2020 2:10 AM, Alan Grayson wrote:
>
> The model says that a subset of the universe starts small and gets bigger. 
>>>>> This is not inconsistent with the whole universe starting and remaining 
>>>>> infinite in spatial extent.
>>>>> -- 
>>>>> Stathis Papaioannou
>>>>>
>>>>
>>>> *I thought I made that clear; what I am calling "the universe" is 
>>>> precisely the SUBSET you refer to, which starts small and gets bigger. It 
>>>> is THAT SUBSET which cosmologists claim has infinite spatial extent, based 
>>>> on measurements. *
>>>>
>>>
> First, a proper subset of an infinite set can also be infinite (in fact 
> that's one definition of "infinite"). 
>

*True. AG*
 

> Second, nobody measures an infinite portion of the universe.
>

*I never made that claim. AG*
 

>   We can only measure the curvature of the part we can see. 
>

*I never claimed otherwise. How could we measure what we can't (in some 
sense) see? Impossible! AG*
 

> Third, it is not clear what is THAT SUBSET to which you refer. 
>

*I'm referring to the observable and non-observable regions. When 
cosmologists claim the universe is flat, they're referring to these regions 
and nothing else. It does NOT include the underlying entity from which our 
bubble emerged. Thus, a subset of a possibly larger totality. AG *
 

> Cosmologists are aware that only an initially infinite subset of space can 
> be infinite after a finite expansion.
>

*So, at the instant of the BB, that is"initially", there's a process which 
creates an infinity of space having zero time duration? How is this 
different from a singularity? This is where I have a problem. There is no 
process that can create anything, let alone a spatial infinity, with no 
time passing. AG*
 

>   They refer to a part of the universe that is beyond observation as being 
> within the "particle horizon" because it consists of the evolved locations 
> of things which are seen now as they were 14 billion years ago.  Those 
> things are now 49 billion light years away due to the expansion...which is 
> sometimes referred to as the present diameter of the observable universe.
> https://en.wikipedia.org/wiki/Particle_horizon
>
> Brent
>
> *What you're calling "the whole universe" includes the underlying entity 
>>>> on which the BB started, and on which measurements CANNOT be made. It 
>>>> could 
>>>> be infinite in spatial extent, or is possibly an entity for which the 
>>>> concept of spatial extent might not exist. AG*
>>>>
>>>
>
>

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