The Human Truth Foundation

God is Logically Impossible
The Argument for Atheism from Incoherence

By Vexen Crabtree 2014

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#argument_from_incoherence #atheism #god #philosophy #religion #theism #theology

There is no direct evidence that any god(s) exist. Likewise, there are no purely theoretical arguments that prove any gods either1. In addition to the lack of reasons for a God's existence, the Argument from Incoherence holds that the very concept of god is self-contradictory and impossible, therefore, theism is false and atheism is true. Omnipotence and omniscience contradict free will and themselves are logically impossible; its omniscience is impossible for it to validate and there are questions about its own being that it itself cannot answer (therefore, nothing can be omniscient). If it is a perfect being, then, there is no need to do any creating. If it is eternal and immutable, then its very thoughts are eternal and immutable - in other words, it has no mental states. If its basic emotional, behavioural and instinctive drives are all fixed (i.e., not created by itself, therefore, not under its own control, and unchanging), then it is hard to imagine how the being, existing in a world without stimulation nor change, can be conscious at all. Without free will, morality, omniscience the remaining "god" is only an automaton: a being that follows necessity and logic. But the concept of a creator god is even more problematic - for this 'creator of everything' must have inherent traits that it itself did not create. It must be intelligent and rational (therefore, it can't have created intelligence nor logic). It must have desire, drives, motivations, an amazing omniscient thinking mechanism, and it can't have created itself. So it seems impossible and untrue to say that "everything must have a cause, therefore there is a god". Each property of god is itself a contradiction of the idea that god is the sole creator. All those uncreated self-traits lead to an impossibly unlikely situation where a complicated and multi-faceted being is invoked in order to explain a Universe that is said to be too complex to have self-created. The very concept of a creator god contradicts itself, and is impossible and incoherent. The First Cause of everything is not a god at all, it is merely the natural laws of an atheistic universe.

1. God Cannot Have Free Will

#free_will #god

It is known by four strong arguments that God cannot have free will, as other features and properties of God contradict the possibly of god being able to make choices.

  1. An omniscient being cannot have free will because it is predestined by its own knowledge of its future actions.

  2. A perfectly benevolent God cannot have free will because there is only one perfect course of action, which God, being perfectly good, must follow.

  3. The creator of time cannot have free will: if God exists outside of time then it is immutable, unchanging, and as such it has no mental states except one everlasting and perfect state. Choices require changes in mental states over time. An eternal being that created time cannot have free will.

  4. If God created free will then it cannot itself already have had free will before it done so: yet, an omniscient being already knew (before it created free will) everything it would do. Therefore any creator-god cannot have free will about any of its actions.


2. God Cannot Be All-Knowing (Omniscient)

2.1. How Can God Verify Its Own Creator-God Status?

If you knew everything, then you should know that you know everything. If you do not know if you know everything, then you don't know everything. So, would a god know everything? How would it know? There are some questions that even a god could not answer. One question proceeds from a possible being that God could create. God could create a solipsistic being and make that being so that it thinks it created the universe. It could give such a being all knowledge except knowledge that it itself was created. Such a being would have no idea that it was, in fact, a created being and that there was another, higher, creator. If God wanted to create such a deluded being, it could do so. The problem is, our theorized God itself does not know if it exists in such a state of ignorance. In short, God cannot know if it does actually know everything. There is no way for it to even verify that it is indeed the true creator god.

2.2. How Can God Verify That Its Knowledge is Complete?

All intelligent sentient beings must realize that without verification from other beings than itself or from science, it cannot know if it is correct in its world view. It doesn't matter how intelligent or knowledgeable a being is - if that being wants to verify its knowledge to make sure that it is correct then it needs to look to something more intelligent than itself, or to science. But what if you are the creator of science? You couldn't then use your own construct to test if your own construct was true, it would be a circular and invalid test. If god attempted to find out if it did indeed know everything, it would realize that it has no way to know. How does it know it knows everything? It merely thinks it does. God has no test, method or possibility of finding out if it does indeed know everything. God could itself be a created being, with another creator hiding secretly behind it. It wouldn't know. In short, it does not and cannot know if this is true. Also, what if God uses its power to intentionally forget something? For Christians, this is exactly what the Bible says God can do, in Isaiah 43:25. If an omniscient and omnipotent being has chosen not to know something, then it may, or may not, know that it doesn't know. The worst possibility is when it erases its own knowledge of self-forgetting. It can therefore never know that it doesn't know something. It can't check. God does not know everything and is not omniscient. In fact, no being can know everything because no being, however creative or perfect, can verify that its own knowledge is complete.

2.3. Thinking Beings Do Not Know Their Own Substance

"I think therefore I am" is as true for God as it is for any being. But: God cannot account for its own nature. Whatever facet of personality, willpower or desire it examines about itself, it will find that it cannot find out why it is like it is. Why does God know everything? Why is god good-natured, or, creative, or loving? (If it indeed it is those things, of course). It seems that all-knowing is not an attainable state. Immanuel Kant says that it is impossible, through self-reflection, to know your own substance. He adds:

For as he does not as it were create himself, and does not come by the conception of himself a priori but empirically, it naturally follows that he can obtain his knowledge even of himself only by the inner sense and, consequently, only through the appearances of his nature and the way in which his consciousness is affected.

"Fundamental Principles of the Metaphysic of Morals" by Immanuel Kant (1785)2

An omniscient being is in the same boat: it cannot self-verify. Gassendi came to the same conclusion, as reported by Voltaire:

'It is true,' says Gassendi, 'that you know what you think; but you are ignorant of what species of substance you are, you who think. Thus although the operation of thought is known to you, the principle of your essence is hidden from you; and you do not know what is the nature of this substance, one of the operations of which is to think.'

"Voltaire's Philosophical Dictionary" by Voltaire (1764)3

2.4. Potential Self-Willed Ignorance

Assume that God does know everything. For some reason god chooses not to know something. It erases something from its own knowledge, and, makes it so that it hasn't known about it for all of time so it can't simply look into a different time when it did know. It then removes its own memory of having intentionally forgotten something. I argue in "The Four Dimensions and the Immutability of God" by Vexen Crabtree (2007) that God can't do such things. But I might be wrong, so here's the clincher:

How would god know now if it had intentionally chosen not to know something? It wouldn't be able to contradict its own will in choosing not to know, but if it destroyed the memory of making such a choice, it also wouldn't know if it had actually forgotten anything. This is another (admittedly tenuous) class of self-knowledge that any being lacks and can never know. Without an answer to this potential source of agnosia, no being that aspires to omniscience can be truly omniscient.

For a fuller discussion of the place of omniscience in world religions, see "Is Omniscience Possible? Does God Know Everything?" by Vexen Crabtree (2002). Its page menu is:

3. God Cannot Be All-Powerful (Omnipotent)

#christianity #islam

Omnipotency is the power to do anything at all - "all-powerful". In monotheistic religions such as Christianity and Islam God is held to be all-powerful. It is hard to imagine that any omnipotent being could be anything other than a single monotheistic God. Omnipotency implies other super-powers because if you are all-powerful then you have the means to instantly uncover any and every fact, so it also infers omniscience. Not only that but, in order to have the ability to do anything, you need to know everything. You can't change reality (for example, by making a cup appear out of thin air) without knowing the precise and accurate detail of how every atom and subatomic particle in a cup should be positioned and the detail of how every intrinsic force of nature works. Omnipotency and omniscience go together. Omnipotency requires omniscience.

Unfortunately, we saw above the omniscience has a number of epistemological problems. Omnipotency, too, is confined by too many exceptions and rules as to really describe a possible state. As omniscience and omnipotency give rise to each other, so are they also both equally impossible.

There are some commonly stated limitations to the very concept of omnipotency, meaning that some qualifications need to be made against the idea of an all-powerful God:

  1. Irrational and illogical actions such as creating a "round square" or making 2+2=5, appear to be impossible even for an all-powerful God. So many say that "all-powerful" means only the ability to do all logical non-contradictory actions.4

  2. Self-limiting actions such as making itself non-existent, or, removing its own power of omnipotency, are often said to be impossible for an all-powerful being. If it chose to make itself unable to do a particular action then it would be a simple gesture for this being to re-instate its power. For example, if the all-powerful God knows that in the year 2050 it will cause an Earthquake, but, in the year 2040 it removes its own power to cause natural disasters, it can of course do two things, (1) use its omnipotency to give itself the power again, or (2) in 2030 to jump ahead in time and do it before it removed its own ability. Also if such a being decides "I shall for all time not have the ability to do something", then, it can only do that action if it does have the ability to do it. This self-negation causes an impossible time-continuum contradiction. It thusly seems impossible for it to stop itself from performing any action.

  3. There can only be one omnipotent being, otherwise, their two independent wills would limit each other's power. By definition, both would have to "get their own way" all the time in order to continue to be all-powerful. In other words, they could never effectively disagree. Therefore there can only be one omnipotent being which means that any omnipotent being cannot create another omnipotent being - yet another thing than an "all-powerful" God cannot do!

Finally, the three most damning limitations:

  1. God Cannot be Responsible for Creating Logic Itself:

    In order to create, to think, God's thoughts must be more than random. To create the universe and its laws, God must be able to think logically. If it can't think logically, then, the laws of the universe were simply random, and the Universe might as well been self-created in an atheistic manner. In other words, for God to exist, God's thoughts must have always been ordered in a logical manner otherwise God could never have created order from chaos.

    Book Cover

    Kepler, one of the great minds in the history of science, came to similar conclusions about geometry, but didn't go as far as to say that it preceded God:

    Geometry existed before the Creation. It is co-eternal with the mind of God... Geometry provided God with a model for the Creation... Geometry is God Himself.

    Johannes Kepler
    In "Cosmos" by Carl Sagan (1995)

    Kepler was assumedly counting mathematics and the general rules of the universe as 'geometry'.

    This means that logic is a precursor to God. Logic, with its simple relations and rules that lets thought itself be ordered, must have existed independently of God's creative power. God could not have created the logic because requires logical thoughts to do any meaningful creating. See: The Universe Could Not Have Been Created by God: The Failure of First Cause Arguments.

  2. An all-powerful god cannot be benevolent. Responsible for making every aspect of evil and suffering possible and for creating the long chain of cause and effect that results in disasters and influences people to choose wrongly, god is so absolutely responsible for all evil and pain that it renders it amoral at best, and at worst, immoral. See: The Problem of Evil: Why Would a Good God Create Suffering?.

  3. God contradicts free will. If a being is all-knowing, then, it knows exactly what actions it itself will make at any point in history. This removes the ability of the God to actually change its mind, alter the grand plan, or in other words, to exercise free will in any way, as the all-powerful and all-knowing being is guided purely by a deterministic fate based on infallible knowledge of its own future actions. Hence, many say that an all-knowing and all-powerful being cannot be a moral being and is probably an unconscious automaton (ergo, not divine). See: God Has No Free Will: 2 Proofs

These limitations on omnipotency have built up to form quite a list of things an all-powerful being cannot do. "All-powerful" can't mean what it says in any simple way. Omnipotency is best not described as "the ability to do anything", rather as "the ability to do the maximum number of possible actions within the confines of logical impossibilities and self-limitations, except the creation of other beings that are also super-powerful, but, this power cannot co-exist simultaneously with the power of omniscience (being all-knowing) and free will nor benevolence. Also, omnipotency depends upon the ability to think straight and therefore requires the pre-existence of logic; ergo an omnipotent being cannot be the reality-creating first cause of existence".

The resultant being, if all-powerful, is the shallow wreckage of an amoral entity, bound by such severe limitations on agency that ultimate creative power, moral agency and free will are all removed. An omnipotent being is simply impossible - the closest thing that could exist is an amoral very-powerful automaton.

See Is God All-Powerful? Can God or Anything Truly Be Omnipotent?. The arguments above are taken from the first section on that page. Its menu is:

4. God Cannot be Perfectly Benevolent or Morally Good

That "God is Good" is a common assumption made by theists yet God could exist and be neutral (amoral) or malevolent (evil and immoral). But it cannot be "morally good". It if it perfectly good then it always makes the most perfect choices and therefore has no free will. A being with no free will cannot be morally good as it makes no moral choices; it can only be morally neutral like a robot. Also, if God's actions and wishes are automatically good by definition, then its morality is arbitrary and we ourselves have no moral reason to follow it, and may do so only out of fear of the consequences or of selfish want of reward. If God's actions are not by definition good, then, there must be an independent source of the definition of goodness. If God has always been good then God can't have been the creator of goodness; yet if it wasn't, then what was? The idea of a good god causes contradictions. If you do not accept purely logical, philosophical or theological arguments that god cannot be benevolent, then, the real-world existence of evil and suffering (of babies, etc) is also evidence that the world was not created by a perfectly good god. Natural disasters such as earthquakes and volcanoes appear to be universal and not linked to Human free will, yet they cause much destruction. It seems that morality and God are contradictory. God cannot be the author of morality nor can it itself be moral.

5. The Immutable Creator of Time: Robotic, Emotionless and Unthinking


This section is the conclusion from the fascinating "The Four Dimensions and the Immutability of God" by Vexen Crabtree (2007).

To be an eternal being that is responsible for creating the time of flow itself is to be immutable and unchanging. God has existed for all eternity before the creation of the world, and all of eternity after the demise of the world. The created world - from beginning to end - is like an object in the hands of God, that can be rotated and examined. God can view every timeline from start to finish, and knows the conclusion of every test. This First Cause of the Universe sits on the outside of time, looking it, effectively omniscient. But God is not subject to the laws of the Universe that it created. It holds all of time and space in its hands but it is not itself subject to time. For this reason, God doesn't change. And for another reason, too: God is a perfect being. Any change away from a perfect state in order to achieve some aim or goal must be a step towards a good purpose: but, god, in being perfect, has already attained all good ends. God doesn't consist of an eternal series of mental states: God is one mental state, perfect and eternal.

These conclusions have been reached by some of the leading historical Christian theologians. St Thomas Aquinas in the second book of his Summae Theologiae concludes that god cannot change itself, cannot be weary, or forget, or repent, or be angry or sad. It cannot undo the past, St Aquinas says, or make itself not exist. This is all because all these things are temporal events that require God to be subject to time itself; but as time is a dimension created by god, God is above and outside it.5

The result is that God is immeasurably cold and emotionless; much more like a robot than the God that many people wish exists. It seems the very concept of God verges on being self-contradictory: It is more of a principle, unconscious and non-thinking. These and other theological problems have led many to the conclusion that God simply doesn't exist.

6. The Features and Properties of God Were All Non-Created, Which Contradict the Idea of a God as the Sole Creator

#atheism #theism

If god created anything according to a thought-out logical plan, or, if God had a desire to create anything that wasn't pure random chaos, then, god's thoughts must have been framed around logic. This logic allowed god to think and create, and, gave motivation to God. Logic must have been the first cause; but if logic is a requirement for God and existed before God could create, then God cannot be the First Cause, and therefore, creator-god theism is false, and atheism is true.

We have seen how many of the properties of God contradict each other, and themselves turn out to be impossible. There is no possibility of any being existing with the properties that we would recognize as godly.

But the concept of a creator god is even more problematic - for this 'creator of everything' must have inherent traits that it itself did not create. It must be intelligent and rational (therefore, it can't have created intelligence nor logic). It must have desire, drives, motivations, an amazing omniscient thinking mechanism, and it can't have created itself. So it seems impossible and untrue to say that "everything must have a cause, therefore there is a god". Each property of god is itself a contradiction of the idea that god is the sole creator. All those uncreated self-traits lead to an impossibly unlikely situation where a complicated and multi-faceted being is invoked in order to explain a Universe that is said to be too complex to have self-created. The very concept of a creator god contradicts itself, and is impossible and incoherent.

7. The Unwarranted Assumptions of Theism

#atheism #theism

An uncaused God is more complicated than an uncaused Big Bang. When it comes to comparing arguments where there is no hope of actually getting any physical evidence, there is a long-standing heuristic to help distinguish between theories, called Occam's Razor: it turns out that when all evidence is accounted for, the theory with fewest assumptions is more likely to be true. God requires many properties and complexities such as consciousness, thought, personality, creative drive, love, an internal logic ordering its thoughts so that it can think coherently and rationally, memory, etc: All of these properties must have been derived from somewhere. It turns out that God is a vastly more complicated thing than the Big Bang and the fundamental laws of the Universe.

Theists and atheists both believe in some universal laws of logic and/or nature which exist as the first cause. But the theist position adds on a list of personality traits to this first cause, and, calls the result "God". Whether these additional assumptions are warranted or not is hard to prove, hence why we say that the additional assumptions under theism are based on faith. These theistic assumptions include attributes about God: it is all-powerful, omniscient, benevolent, it has memory, it has rational and ordered thoughts running along logical lines, it is emotional, it wants to be worshipped and other particular assumptions of various religions. Even if it was found that the First Cause must be a conscious god, then, it is not reasonable to assume that all those other assumptions are true too. In comparison to all that, atheists make far fewer assumptions about reality, meaning that their position is more likely to be correct.

The scientist, however, may wish to challenge the assumption that an infinite mind (God) is simpler than the universe. In our experience, mind only exists in physical systems that are above a certain threshold of complexity. [...] While it is possible to imagine a disembodied mind, there must be some means of expression of the pattern, and the pattern itself is complex. So it could be argued that an infinite mind is infinitely complex and hence far less likely than a universe. [...]

According to our best scientific understanding of the primeval universe it does indeed seem as though the universe began in the simplest state of all - thermodynamic equilibrium - and that the currently-observed complex structures and elaborate activity only appeared subsequently. It might then be argued that the primeval universe is, in fact, the simplest thing that we can imagine.

"God And The New Physics" by Paul Davies (1984)6

The additional assumptions of theists are discussed on my page The Assumptions about God and Creation, of Both Theists and Atheists. Its list contains the following items - click on each for a discussion and some comments on the logical problems associated with them:

  1. God is Omniscient (All-Knowing)
  2. God is Omnipotent (All-Powerful)
  3. God is Perfectly Benevolent (Good)
  4. God Has Free Will
  5. God is Rational
  6. God is Conscious
  7. God Feels Emotions (Human Ones!)
  8. God Wants to be Worshipped
  9. God Communicates With Us
  10. God Cares What We Believe
  11. God Cares About Humankind in Particular
  12. God's Existence Explains the Universe

Current edition: 2014 Jun 22
Last Modified: 2016 Nov 22
Parent page: There is No God: Theological, Philosophical and Logical Problems of Theism

All #tags used on this page - click for more:

#argument_from_incoherence #atheism #christianity #free_will #god #islam #philosophy #religion #theism #theology

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References: (What's this?)

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The Bible (NIV). The NIV is the best translation for accuracy whilst maintaining readability. Multiple authors, a compendium of multiple previously published books. I prefer to take quotes from the NIV but where I quote the Bible en masse I must quote from the KJV because it is not copyrighted, whilst the NIV is. Book Review.

Davies, Paul
(1984) God And The New Physics. Paperback book. Penguin 2006 edition. Davies is a Professor in theoretical physics who has published ground-breaking research.

James, William. (1842-1910)
(1902) The Varieties of Religious Experience. Paperback book. Subtitled: "A Study in Human Nature". 5th (1971 fifth edition) edition. Originally published 1960. From the Gifford Lectures delivered at Edinburgh 1901-1902. Quotes also obtained from Amazon digital Kindle 2015 Xist Publishing edition. Book Review.

Kant, Immanuel. (1724-1804) German philosopher.
(1785) Fundamental Principles of the Metaphysic of Morals. E-book. Amazon Kindle digital edition prepared by David J. Cole prepared by Matthew Stapleton. Translated by Thomas Kingsmill Abbott (1829-1913).

Russell, Bertrand. (1872-1970)
(1946) History of Western Philosophy. Paperback book. 2000 edition. Published by Routledge, London, UK.

Sagan, Carl
(1995) Cosmos. Paperback book. Originally published 1981 by McDonald & Co. Current version published by Abacus.

Stenger, Prof. Victor J.
(2007) God, the Failed Hypothesis: How Science Shows That God Does Not Exist. Published by Prometheus Books, NY, USA. Stenger is a Nobel-prize winning physicist, and a skeptical philosopher whose research is strictly rational and evidence-based.

Voltaire. (1694-1778)
(1764) Voltaire's Philosophical Dictionary. E-book. Amazon Kindle digital edition produced by Juliet Sutherland, Lisa Riegel and the Online Distributed Proofreading Team.


  1. James (1902) digital location 5808-5822. James say that all the arguments used by the faithful for God's existence 'prove nothing' and have faced hundreds of years of solid criticism. Added to this page on 2016 Nov 22.^
  2. Kant (1785) p127.^
  3. Voltaire (1764) p187.^
  4. Stenger (2007) contains a summary of logical arguments.^
  5. Russell (1946) p449.^
  6. Davies (1984) p49.^

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