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Is cosmologist Carroll’s eternal universe possible?

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Friend Kirk Durston asks because:

It is very important for a physicist, especially when addressing a lay audience, to clearly distinguish between a mathematical model and the real world. It is simply false that the universe is eternal because we can build a mathematical model of an imaginary eternal universe. The fatal flaw in invoking mathematical models and theorems that describe a universe with an infinite past, where time t actually proceeds from minus infinity toward plus infinity, is that when applied to reality, every second of that actual countable infinite series must have actually occurred before we get to this particular time t now. More.

See also: Kirk Durston: Cosmologist Sean Carroll simply asserts “a conclusion with no supporting argument”

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Comments
How about "punctuated infinity"? An infinite past puncuated by stop/start points, the latest stop/start point being our big bang. Could Hilbert Hotel be renovated (close/reopen) an infinite number of times?ppolish
April 15, 2014
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Yes, this is the fundamental argument against a universe that exists infinitely back in time. By definition, an infinity cannot be traversed. So, time could not have proceeded from the infinite past to the point where we have the present "now". Time marches on, but only if it had a beginning.StuartHarris
April 15, 2014
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Wonderful article, and it shows how some 'scientists' will abandon logic and reason rather than allow the evidence to point to GOD.Blue_Savannah
April 14, 2014
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