Tag Archive for: philosophy

This is my last blog dealing with the origin of the universe as an argument for the existence of God. I’ll examine the issue of whether new physics might be discovered to enable the universe to be past eternal. I’ll offer a couple of philosophical arguments against the possibility of an eternal past. If these arguments succeed we can be confident that no scientific discoveries could ever show that the universe has existed forever. Indeed if these arguments are sound, the scientific evidence I’ve offered so far would become superfluous.

If the universe has existed forever, this would entail an actually infinite number of past events. I use the term “actually infinite” to distinguish it from a potential infinite quantity. No one doubts that the number of future events can grow without limit but this is merely a potential infinite. Any finite time in the future there would still have been a finite number of events since the current time so the infinity is just potential – it represents an unattainable limit as this article by George Ellis, a prominent cosmologist, indicates.

Is it possible for actually infinite numbers of entities to be realized in the actual world?

One of the greatest mathematicians of all-time, David Hilbert, certainly didn’t think so: “the infinite is nowhere to be found in reality. It neither exists in nature nor provides a legitimate basis for rational thought.“ Georg Cantor established a mathematically rigorous way of dealing with the concept of infinity that is very useful for mathematical and scientific calculations. Although Hilbert defended Cantor’s work, he argued that infinities couldn’t exist in the actual world or they would lead to absurdities.

Some readers may be thinking that if it is mathematically possible it has to be physically possible. But not everything used in mathematics necessarily implies a direct correspondence with physical ontology (nature of being). Infinitesimals are mathematically feasible and highly useful in calculus, but modern physics holds that everything is quantized. Mathematical consistency and coherence doesn’t necessarily imply physical realization – there are abstract mathematical systems that can be constructed that are coherent but not all of them are necessarily realized anywhere in physics. In computer science we often choose between multiple mathematically equivalent but quite different ways of computing things – they can’t all correspond to physical ontology because they entail fundamentally different ways of modeling reality. Infinities that show up in physics equations are considered problematic unless and until some type of renormalization can be performed.

So if we can show that absurdities result if actual infinites exist, then we have good reasons for rejecting the possibility of an actually infinite number of past events – even if it is mathematically feasible. Here is how philosopher Peter S Williams makes this argument to a lay audience:

Suppose I ask you to loan me a certain book, but you say: ‘I don’t have it right now, but I’ll ask my friend to lend me his copy and then I’ll lend it to you.’

  • Suppose your friend says the same thing and so on…
    1. If the process of asking to borrow the book goes on forever, I’ll never get the book
    2. If I get the book, the process that led to me getting it can’t have gone on forever

Somewhere down the line of requests to borrow the book, someone had the book without having to borrow it. It’s easy to see how this analogy applies to the Kalam – if the arrival of the current event/book required infinitely many prior events, it would have never arrived. You cannot traverse an actual infinity. If the current event/book did arrive, the process that led to it couldn’t have gone on forever.

Another example of the physical impossibility of an actually infinite number of items is the following. Suppose that there is one particle of some type for every positive whole number (integer) – we can think of these as comprising a mathematical set in which we’ve numbered the particles. The number of particles is aleph null and represents a so-called countable infinity. Suppose this type of particle is not stable and thus half of the particles decay in some time interval. One could think of the number of particles in this set as now consisting of the even integers. But one can also reach a contradictory answer that the number of particles is the same as the original by proving mathematically that the number of even, positive integers is the same as the number of positive integers.

This mathematical proof is quite simply done by showing a one-to-one correspondence between the elements in the set. For every integer in the original set, there is one integer in the set of even integers (2,4,6, …) obtained by just doubling the original value. Thus, the number of particles in each set is mathematically identical even though half of the original particles underwent decay. After we wait another half-life, half of the remaining particles have now decayed so the set would consist of particles (4,8,12, …). However it can also be mathematically proven that the number of positive integers that are multiples of 4 is identical to the number of positive integers. Have the number of particles been reduced or not? We reach contradictory results – no matter how many half-lifes we wait, the number of particles is the unchanged and has been reduced as per the usual physics equation. Thus, dealing with the actually infinite in reality would violate the laws of physics.

Philosopher Alexander Pruss offers at 6 arguments in support of premise 2 of the Kalam – that there couldn’t have been an infinite number of past events. Although he thinks actual infinities might be possible in general, he doesn’t think an infinite causal chain is possible. “This strengthens the Kalaam argument by showing that the premises can be weakened: the Kalaam argument only needs the kind of causal anti-infinitism that I now cautiously accept.”

Objection: But doesn’t Christianity require that God has lived through an infinite number of events?

There has never been a time at which God has not existed. However, if time is a physical entity that began to exist, it seems to have been something brought about by a cause outside of time. The classic theistic understanding is that God is an eternal being that exists outside of time. There is an interesting passage in the New Testament, Jude 24, that speaks of God having dominion and glory before time began. See also Titus 1:2 for another Biblical reference consistent with the understanding from modern physics that time had a beginning. As evidence of God being able to see into the future one can study Biblical prophecies of the future state of cities such as Memphis, Thebes, Babylon, Ninevah, Ashkelon and peoples such as the Philistines, Edomites, and Jews. (See this link to explore this evidence for divine inspiration of texts known to be written before the fulfillment)

It may be hard for us to grasp something that exists outside of time since we are constrained in this realm. Many scientists, however, do posit the existence of other space-time dimensions and explain how we would be unaware of these – e.g. see the book Flatland, which Hawking and Sagan point to an illustration of the possibility of unseen dimensions. Perhaps God exists in another realm or dimension of time or perhaps William Lane Craig is right in theorizing that God existed timelessly before creation and stepped into time when He created time.

Final Comments on the Implications of the Kalam

The conclusion of the Kalam is pretty modest. It doesn’t establish the existence of a particular god etc. Deism rather than theism could still be true if this is all we had to go on. The Kalam, however, is a strong refutation of naturalism – the view that nature is all there is. Most atheists hold to naturalism and if they admit that it’s false they’ve undermined the most significant traditional arguments for atheism.

A transcendent cause to the Universe possesses some properties of God such as being beyond space and time and being immaterial. It’s pretty hard to deny this as atheist scientist Lewis Wolpert discovered in his debate with William Lane Craig. Wolpert admited that the universe had a beginning saying “well we know that, nobody disputes that.” The ease with which he is willing to admit this should bother you if you’re a skeptic as it is yet another testimony to how this argument depends only upon mainstream, widely accepted science. Wolpert’s assertion that it might have been a very special computer fails miserably as one can see here.

In my blog series on scientific evidence for God, I’ve initially focused on the origin of the universe. I defended the Kalam cosmological argument and argued that since currently known physics shows that the Universe had to have a beginning there must be a transcendent cause possessing some attributes of the classical understanding of God (as a spaceless, timeless, and immaterial being) Thus, the Kalam provides good reasons for believing in theism over atheism – I claim it provides epistemic support rather than constituting a deductive proof because we cannot prove the premises beyond the shadow of a doubt.

I appreciate the comments and interaction thus far! John raised another good question recently about whether the quantum vacuum could have appeared from nothing and I responded briefly:

Even if our entire universe fluctuated into existence from the quantum vacuum this would not be a defeater for the Kalam unless one could also show that the quantum vacuum is eternal. If spacetime had a beginning, as currently known physics[1] indicates, then so did the quantum vacuum and thus a transcendent spaceless, timeless cause of the Universe would still be required. But if the quantum vacuum itself could emerge from absolutely nothing then the materialist/naturalist would have a path to creating a universe without a god.

I promised to blog in response to this important question, so here it is.

Is it possible for the quantum vacuum to emerge from absolutely nothing?

By “nothing” I mean simply the usual English definition of “not anything.” The concept of “nothing” defined in this way has no properties and thus no potentiality to bring about something. A widely accepted tenet of philosophy is that “out of nothing, nothing comes.” The quantum vacuum is certainly not nothing because it has properties and ones that can be modelled quite accurately using mathematical equations! The quantum vacuum is best thought of as the lowest energy state in spacetime. Sir Martin Rees, Astronomer Royal of the UK, explains:

Cosmologists sometimes claim that the universe can arise ‘from nothing’. But they should watch their language, especially when addressing philosophers. We’ve realised ever since Einstein that empty space can have a structure such that it can be warped and distorted. Even if shrunk down to a ‘point’, it is latent with particles and forces – still a far richer construct than the philosopher’s ‘nothing’. Theorists may, some day, be able to write down fundamental equations governing physical reality. But physics can never explain what ‘breathes fire’ into the equations, and actualised them into a real cosmos. The fundamental question of ‘Why is there something rather than nothing?’ remains the province of philosophers.

Too bad Lawrence Krauss didn’t heed Rees’s warning. Krauss wrote a book entitled “A Universe from Nothing: Why There Is Something Rather than Nothing.” The book’s subtitle references this great question of philosophy about which contemporary philosopher Derek Parfit exclaims: “no question is more sublime than why there is a Universe: why there is anything rather than nothing?”

In the comments section of a critical blog written by ardent atheist Jerry Coyne, Krauss ironically admits his book doesn’t live up to its subtitle “I may not be focusing on the classical question that has bother philosophers, but I don’t think I ever claim to.” But Lawrence, you made that the subtitle of your book! So when pressed even Krauss seems to be backing away some from claiming that the Universe can be created from a state of nothingness prior to the existence of a quantum vacuum. Other times he does seem to be claiming this but even Coyne criticizes him for “a bait-and-switch.” Krauss is equivocating between different definitions of nothing in his argumentation.

Whatever Krauss might be claiming there is no basis for claiming that the quantum vacuum can originate from a state of absolutely nothing. There is no physics of non-being. No scientific experiment has ever been performed in the absence of space and time and thus there is no scientific basis for extrapolating from ‘not anything’ to the physical world.

For a more detailed critique of Krauss by those much more knowledgeable and articulate than myself please read this blog by cosmologist Luke Barnes – here is an excerpt:

Krauss repeatedly talked about universes coming out of nothing, particles coming out of nothing, different types of nothing, nothing being unstable. This is nonsense. The word nothing is often used loosely – I have nothing in my hand, there’s nothing in the fridge etc. But the proper definition of nothing is “not anything”. Nothing is not a type of something, not a kind of thing. It is the absence of anything.

Barnes also has a follow-on blog that is quite helpful where he states:

if something can some out of nothing, then anything and everything can and should come out of nothing at all times and places. This, then, is the empirical evidence we would need in order to believe that the universe could come out of nothing.

I also highly recommend this scathing review of Krauss’ book by philosopher/physicist David Albert that appeared in the NY Times. Here is an excerpt from Albert:

[Physics has] nothing whatsoever to say on the subject of where those [quantum] fields came from, or of why the world should have consisted of the particular kinds of fields it does, or of why it should have consisted of fields at all, or of why there should have been a world in the first place. Period. Case closed. End of story.

But don’t Christians also claim in a creation from nothing?

Note that when theists speak of “creation ex-nihilo” they are referring to creation out of nothing physical. The Christian view is that God is an eternally existing necessary being and so there was something causally before the Universe began (but not temporally since there was no time!)

Note that there are also independent reasons for thinking that a necessary being such as God must exist – for example in the Leibnizian cosmological argument. I chose not to get into that argument because my series of blogs focuses on science and that is a philosophical argument that doesn’t even depend on the universe having to have a beginning. So in the Christian view, God created the Universe out of nothing physical. While that sounds very mysterious to us, science itself has shown us that all of space, time, matter and energy came into being in the finite past. There is nothing physical or natural left to appeal to as a causal explanation. Thus, by deduction we’re left with a supernatural cause – a cause beyond nature.

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[1] By “currently known physics,” I mean the well understood physics of General Relativity and physics associated with semi-classical spacetime. Because no one knows the correct version of quantum gravity, it is possible that new details concerning quantum physics could permit a past eternal universe. Aron Wall has published some good arguments for why one should not expect any new discoveries in quantum physics to overturn the current understanding that the universe had a beginning. Vilenkin has also argued along these lines as well.

It depends on what you mean by causality. A philosophically-informed physicist would say Quantum Mechanics (QM) doesn’t do away with causality:

“In fact, QFT[Quantum Field Theory] is constructed in such a way to explicitly preserve causality. Any QFT textbook devotes 10 pages of chapter 1 to explain why the square root of the Klein gordon equation does not make a good wave equation for a QFT – it cannot preserve causality.”

In physics, we speak of things happening based on mathematical laws. For example, two electrons are repulsed by the electromagnetic force and we can compute their path of motion. There seems to be a clear causal connection because the math is fully deterministic. In QM, the only difference is that the math is probabilistic rather than exact. No one is even sure that QM is indeterministic – Bohm’s interpretation might be right. Even if QM is non-deterministic, is it appropriate to say that things are happening without causes? We can use the Schrödinger/Dirac equation to make quite accurate probabilistic computations concerning the evolution of a system. We may not know when a particular radioactive atom will decay but we can use statistically large sets of atoms to accurately perform radiometric dating.

To be sure, there is a lot of controversy over how to interpret causation in QM (e.g., does the observer play a role?) but I don’t think QM really does away with the causal principle in the sense relied upon by the Kalam. The Kalam relies only on there being underlying reasons for things coming into being. If something happens in a manner that can be probabilistically predicted (as is always the case in QM), then it’s not a case of something being created without a cause from absolutely nothing. Things originating without causes could not be predicted even probabilistically!

Here is philosopher/Physicist David Albert on how Quantum Mechanics doesn’t explain the origin of the Universe from absolutely nothing: “The fact that some arrangements of fields happen to correspond to the existence of particles and some don’t is not a whit more mysterious than the fact that some of the possible arrangements of my fingers happen to correspond to the existence of a fist and some don’t. And the fact that particles can pop in and out of existence, over time, as those fields rearrange themselves, is not a whit more mysterious than the fact that fists can pop in and out of existence, over time, as my fingers rearrange themselves. And none of these poppings — if you look at them aright — amount to anything even remotely in the neighborhood of a creation from nothing.”

The Borde-Vilenkin-Guth theorem that I referenced in the previous blog indicates that spacetime cannot be extended into the infinite past. QM operates within spacetime so if spacetime is not eternal it is unreasonable to claim that quantum processes have been eternally in operation. Some physicists do speak of highly speculative theories of creating a universe out of the quantum vacuum but the quantum vacuum is not nothing – it’s just the lowest energy state of spacetime. It’s weird to think about spacetime not existing but such is the implication of BVG and the earlier Hawking-Penrose singularity theorems. This Scientific American article might be helpful in explaining how the Big Bang is not just describing expansion into “some imagined preexisting void.” The Big Bang is not dealing with expansion into preexisting space but the expansion of space.

For more details on the problems when some scientists speak about the Universe being created from absolutely nothing I highly recommend this blog by cosmologist Luke Barnes.