Note: This is part of a mini-series; I recommend reading the posts in order.
Introduction
Well, it’s been longer than I anticipated since the last post, I guess I got distracted, and then lost vision. But now I’m back.
I haven’t been able to reduce Part Three below two thousand words, so I’ve decided to break it up further into two posts, Three (A) and Three (B). In this post I will introduce the argument, and then consider it’s second premise.
The Kalam Cosmological Argument
Much credit goes to William Lane Craig, a prominent scholar who’s excellent presentation of this argument has had a great impact on me.
(Much credit is also due to my friend, Carson Smith, who has engaged with me in dialogue for many hours concerning this and related subjects. He also authored sections of this, but I cannot remember which ones.)
The Kalam Cosmological Argument, one of many versions of the Cosmological Argument, is an argument for the existence of a cause of our universe, and takes the form of a very simple syllogism.
- Everything that began to exist had a cause
- The universe began to exist
- Therefore, the universe had a cause
Using this basic syllogism, let us proceed.
Validity of the Syllogism
Firstly, does this syllogism represent valid logic? That is, if the (1) first and (2) second premises are true, does (3) the conclusion necessarily follow? The answer is yes, for this syllogism is of a simple form:
1. All A are B
2. x is an A
3. Therefore, x is B
This syllogism represents simple and valid logic. Thus, if the premises are true, then the conclusion necessarily is true also. In order to determine the soundness or reasonability of the conclusion, we now must examine the premises. The conclusion is as true/sound/reasonable as the weakest premise.
First we’ll analyze the (2) second premise.
Evidence for the Truthfulness of the Second Premise:
Metaphysics
The second premise:
- The universe began to exist
If the universe did not begin to exist, then it is eternal and has an infinite past. However, it can be demonstrated that the actualization of an infinite quantity quickly leads to absurd results. Infinities cannot exist in reality. Stick with me for a moment, this will make sense. Another simple syllogism:
- An actually infinite number of things cannot exist in reality
- A beginningless series of events is an infinite number of things
- Therefore, a beginningless series of events cannot exist in reality
Simply put, infinities cannot be actualized.
Additionally,
- An eternal universe must exist over an infinite period of time
- An infinite period of time would imply a beginningless series of events
- A beginningless series of events cannot exist in reality
- Therefore an infinite period of time cannot exist in reality
- Therefore the universe cannot be eternal
This states that time without a beginning means that there exists an actually infinite set of time events. But since we know that infinities cannot be actualized, then time must have a beginning, and the universe must not be eternal.
This is an important point to understand, so let’s continue further. Some more illustrative arguments:
Billiard Balls
Suppose person A has an actually infinite number of billiard balls. Person A could give ten of the balls to person B, but he would still have an infinite number of balls himself. Infinity minus ten equals infinity.
Continuing with this for a moment, suppose person A gave person B every other ball in his collection, an infinite number of balls. So person A keeps an infinite number of balls, every other ball, while giving away and infinite number of balls. Infinity minus infinity equals infinity.
This math works on paper, but when applied to actuality, it becomes absurd. We all know that if you have a bucket of balls, no matter how big (even a bucket the size of our galaxy) if you give away ten billiard balls, then you will have ten less. You will not have the same amount.
Similarly, if you give away your total number of balls, then you will have none left. Infinite numbers are useful for lots of stuff, but they cannot be actualized…it’s absurd.
In this case with the billiard balls, we encounter a situation in which infinity minus ten (or even infinity minus infinity) does not change the actual number of balls remaining; there are still an infinite number of balls. This defies logic, and therefore, due to the law of non-contradiction, this example demonstrates that actualized infinities cannot exist in reality.
Walking Home
Enough with the billiard balls, let’s consider a situation more directly analogous to infinite time.
Suppose that you started walking home from a position an actually infinite number of steps (yards) away from your home. Now imagine that you take one step. If you subtract one step from infinity, you still have an infinite number of steps remaining, and so your one step closer to your home has simply positioned you another infinite number of steps away from your home. In essence, after one step you now have an “infinity minus one” number of steps to go, which is, of course, just another infinite number of steps. No matter how many steps you take, you will aways have an infinite number of steps to traverse, and so you will never make it home.
Not only can we not actualize infinities because of the absurdity and the law of non-contradiction, but we could never traverse an infinite number of steps, events, or pass through an infinite amount of time, even if such quantities of distance or time were real.
Back to Our universe
Now let us consider some things about the universe. If the universe were eternal—as in, has always existed, as in, did not begin to exist, as in, has existed from an infinite past—then between the infinite past and the present exists an infinite expanse of time. As has been demonstrated, an infinite expanse of distance, time, or anything, cannot be fully traversed, and so our universe could never traverse that infinite expanse of time to reach the present. Given an infinite past, our universe would always be in transit to the present, an infinite amount of time away.
However, we have reached the present! The universe has reached “now”!
The only way the universe could have reached “now”, is for it to have traversed a finite expanse of time on its way to “now”. If it traversed a finite expanse of time to reach now, which it must have done, then there must have been a beginning at which it began. The only way to have a finite expanse of time before “now”, is to have a beginning.
To Summarize The Metaphysical Arguments
Infinities can never be actualized, only approached. Thus time as we know it (think space time) had a beginning.
Thus, our universe is not eternal, but began to exist at some point in the past.
Contemporary Science
The non-eternal nature of our universe can be attested through an analysis of the impossibility and absurdity of eternal time. However, is a logical analysis of the absurd effects of infinite time just a theoretical idea about the non-eternality of the universe, or does the realm of science provide us with any additional information to confirm or deny the claim that the universe is not eternal?
The answer to this question is: Yes! Scientific observations do provide additional information about the eternality or non-eternality of the universe. In fact, scientific observation has done much to corroborate the theory that the universe is not eternal, has not always been, and therefore had a beginning…aka…”the universe began to exist”.
Redshift and Expansion
One of the many observations directing one to the conclusion that the universe had a beginning is fact of the current expansion of the universe. In 1929, Edwin Hubble observed that galaxies appeared to be moving away from each other, based on his observation of the redshift in the light received from distant supernovae. Hubble’s observations and subsequent conclusions demonstrated that the universe is expanding. This conclusion carries the implication that the universe had a definite beginning; for movement backward in time necessarily entails the progressive densification of our universe, and consequently, if one were to continue to move backward in time, eventually they would reach a state in which the universe was unexpanded and extremely dense. If one were to travel far enough into the past, they would reach the point in time when the expansion began, thus representing the beginning of the universe. The event causing this unexpanded and dense amount of material to expand, is commonly known as the Big Bang, and marks the beginning of our universe.
Accelerated Expansion
In 1998, a monumental discovery was made by cosmologists indicating that the universe is not only expanding, but expanding more rapidly now than it was in the past. Again, the discovery that our universe is expanding (at an accelerating pace no-less) is a strong evidence that in the distant past, the universe began to exist. However, the discovery of the universe’s accelerating expansion also demonstrates that the universe will not collapse back on itself, destroying the postulation that the universe has oscillated back and forth, eternally, by means of successive Big Bangs and “Big Crunches”. Digressing back to the original point, the accelerating expansion of the universe is yet another corroboration that the universe’s expansion and the universe itself began at some point in the distant past.
Modern Science
The beginning of the universe has also been described by leading cosmologists and theoretical physicists such as Stephen Hawking and Roger Penrose. In their publications, “The Cosmic Black-Body Radiation and the Existence of Singularities in our Universe” (Astrophysics Journal 152 (1968), pp. 25-36) (co-written with George Ellis), and “The Singularities of Gravitational Collapse and Cosmology” (Proceedings of the Royal Society of London, Series A, 314 (1970) pp. 529-548), Hawking and Penrose conclude that space and time, along with matter and energy, had a distinct beginning at some point in the past. Stated more simply, they concluded that before the Big Bang, time, space, energy, and matter did not exist. Instead, everything began to exist only once the Big Bang occurred.
Reasonability
The Kalam Cosmological Argument is simple. But it is valid and it’s conclusion is bold. The debate concerns the reasonability of the premises.
- The universe began to exist
This premise is highly reasonable. It is strongly supported by metaphysical arguments and modern physics and cosmology.
Next we’ll consider the (1) first premise. And then we’ll consider the reasonability of the conclusion and its implications.