> On 14 Jan 2020, at 11:06, John Clark <[email protected]> wrote:
> 
> On Mon, Jan 13, 2020 at 9:03 PM Alan Grayson <[email protected] 
> <mailto:[email protected]>> wrote:
> 
> >> If infinite distances makes you squeamish I don't see how you can 
> >> consistently embrace infinite outcomes. And besides this is not 
> >> mathematics, in physics nothing is provably infinite, nobody has ever 
> >> found an infinite number of anything.
> 
> > It's not a matter of, or a case of being squeamish with infinite outcomes. 
> > I just don't see how cosmologists can claim the universe is flat -- which 
> > means infinite in spatial extent -- if it starts small and expands for a 
> > finite time.
> 
> Infinity is not a number, infinity is a process that evolves in time.

That is Aristotle potential infinite. Cantorial actual infinities are treated 
by sets in set theory, and behave like numbers (we can add them, but it is not 
commutative, we can multiply them, exponentiate them, etc.

It is doubtful that there are actual infinities in the observable realm, and if 
we are machines, that is a priori undecidable. Now, with a non mechanist theory 
of mind, all notions are open.



> If a cosmologists says the universe is infinite he means that a pulse of 
> light will keep getting more distant from its starting point and never 
> return. I don't know if the universe is infinite or not but I see nothing 
> obviously absurd with the idea.


It is easy to prove that the physical (observable) universe has to be infinite, 
and contains non computable elements once we bet on Mechanism in the cognitive 
science. And without mechanism, also, but for very different reason.



> And when cosmologists say the universe started at a singularity what they 
> mean is it started at a place they don't understand, they never claimed to 
> know everything. In physics "singularity" doesn't mean infinite density or 
> zero volume, it means "our theories break down here and produce ridiculous 
> results”.

Yes, and to invoke a singularity in an explanation is not much different than 
invoking a god or a primary universe. That explains nothing and such terms 
designates our ignorance.

Bruno



> 
>  John K Clark
>  
> 
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