And here is the meat of your argument. It fails miserably. Possibilities come very cheap. In fact, I can even agree with you and even add that the universe
could be an illusion.
It could be a lot of things which is precisely my point. In order for this to count as an undercutting defeater we must have some good reason or argument to hold that one of these bare possibilities is actually true.
But the cumulative case for an actual beginning of the universe from science, astrophysics and cosmology stands to this very day. The Standard Model calls for an absolute beginning of the universe. Throwing out possibilities in no way diminishes the clear evidence we have.
P.C.W. Davies states:
"
Most cosmologists think of the initial singularity as the beginning of the universe. On this view the big bang represents the creation event; the creation not only of all the matter and energy in the universe, but also of spacetime itself." P. C. W. Davies, "Spacetime Singularities in Cosmology," in
The Study of Time III, ed. J. T. Fraser (New York: Springer Verlag, 1978), pp. 78-79.
There simply is no evidence that the universe right now appears to us to be approximately 15 billion years old, but actually is trillions of years old. There is no evidence that exists that demonstrates that the universe is cyclic or eternal. None whatsoever. The Standard Model is the standard model for a reason.
You then say:
And I agree with the first part! We have not been able via scientific method to go beyond the Big Bang.
Does this in anyway diminish the fact that the universe began to exist a finite time ago? Of course not! Your reasoning assumes that there is something physical beyond the Big Bang i.e some natural explanation lurking there, waiting to be discovered. But this simply is begging the question. In order to hold to this view, you must discard the Standard Model's conclusions and by faith believe that another Model will replace it which concludes that the universe did not begin to exist.
You then say that it is erroneous to conclude that the universe began to exist. But the reason you gave for this is that we cannot go beyond the Big Bang, but (it is implied) one day we will.
But as I stated in order to maintain this, you must maintain that the Standard Model is inaccurate.
But why? Why go to such great lengths? Why not just agree with the evidence? Why not rather just admit that the universe began to exist and agree with the consensus of the scientific community?
From physicist Stephen Hawking:
"All the evidence seems to indicate, that the universe has not existed forever, but that it had a beginning, about 15 billion years ago. This is probably the most remarkable discovery of modern cosmology. Yet it is now taken for granted." (The Beginning of Time Lecture, Stephen Hawking British Theoretical Physicist and Honorary Fellow of the Royal Society of Arts, a lifetime member of the Pontifical Academy of Sciences, and in 2009 was awarded the Presidential Medal of Freedom, the highest civilian award in the United States. Hawking was the Lucasian Professor of Mathematics at the University of Cambridge between 1979 and 2009. Subsequently, he became research director at the university's Centre for Theoretical Cosmology.)
From agnostic astronomer Robert Jastrow:
"Recent developments in astronomy have implications that may go beyond their contribution to science itself. In a nutshell, astronomers, studying the Universe through their telescopes, have been forced to the conclusion that the world began suddenly, in a moment of creation, as the product of unknown forces." ( Excerpt from Truth Journal by Professor Robert Jastrow-Ph.D. (1948), from Columbia University; Chief of the Theoretical Division of the National Aeronautics and Space Administration (1958-61) and Founder/Director of NASA 's Goddard Institute; Professor of Geophysics at Columbia University; Professor of Space Studies-Earth Sciences at Dartmouth College)
"The Big Bang model of the universe's birth is the most widely accepted model that has ever been conceived for the scientific origin of everything." (Stuart Robbins, Case Western Reserve University)
"Many once believed that the universe had no beginning or end and was truly infinite. Through the inception of the Big Bang theory, however, no longer could the universe be considered infinite. The universe was forced to take on the properties of a finite phenomenon, possessing a history and a beginning." (Chris LaRocco and Blair Rothstein, University of Michigan)
"The scientific evidence is now overwhelming that the Universe began with a "Big Bang" ~15 billion (15,000,000,000 or 15E9) years ago." "The Big Bang theory is the most widely accepted theory of the creation of the Universe." (Dr. van der Pluijm, University of Michigan)
"Most scientists agree that the universe began some 12 to 20 billion years ago in what has come to be known as the Big Bang (a term coined by the English astrophysicist Fred Hoyle in 1950." (University of Illinois)
"The universe cannot be infinitely large or infinitely old (it evolves in time)." (Nilakshi Veerabathina, Georgia State University)
"The universe had a beginning. There was once nothing and now there is something." (Janna Levin, Department of Applied Mathematics and Theoretical Physics at Cambridge University)
"A large body of astrophysical observations now clearly points to a beginning for our universe about 15 billion years ago in a cataclysmic outpouring of elementary particles. There is, in fact, no evidence that any of the particles of matter with which we are now familiar existed before this great event." (Louis J. Clavelli, Ph.D., Professor of Physics, University of Alabama)
From the above, we see that there is ample evidence to maintain that premise 2 of the cosmological argument is true.
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