On 1/24/2020 4:14 AM, John Clark wrote:
On Thu, Jan 23, 2020 at 7:23 PM 'Brent Meeker' via Everything List
<[email protected]
<mailto:[email protected]>> wrote:
>> if new points are constantly being created in this "finite"
universe, even worse new points are being created at an
accelerated rate in this "finite" universe, then you're going
to run out of labels for every point in this "finite" universe
if you only have a finite number of labels.
/> I carefully wrote "*range *of coordinate values". I'm assuming
a continuum spacetime. So even a 1cm interval takes an infinite
*number* of labels./
This entire thing started because I have a problem with a "finite"
universe that was not only expanding faster than light but
accelerating too, so I asked in what sense could such a universe be
called "finite". You responded with, and I quote:
"/It would take an infinite range of coordinate values to label all
the points in an infinite universe, but not in a finite one."/
/
/
If you're assuming that Real Numbers exist and that even a 1 cm
universe would need a infinite number of labels
But not an infinite range of labels.
Brent
then obviously your above answer is nonsense, so I ask my question again:
*What is the difference between a "finite" universe that is expanding
and accelerating and an infinite universe that is expanding and
accelerating?*
Imagine the Earth is expanding like a balloon and at an accelerating
pace. You can't go fast enough to circumnavigate it because there's a
speed limit. In your imagination is it finite or infinite? Are there
locations on it which are finite distances apart? Is there a set of
such locations connecting any two points? Is the sum of the distances
between locations of such a set finite?
Brent
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