Existence of God

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God

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Agnosticism · Atheism · Deism
Henotheism · Ignosticism · Misotheism
Monism · Monotheism · Nontheism
Pandeism · Panentheism · Pantheism
Polytheism · Theism · Transcendence
Theology (natural • political • mystical)


Specific conceptions
Names · "God" · Existence · Gender
Creator · Architect · Demiurge · Sustainer
Lord · Father · Monad · Oneness
Supreme Being · The All · Personal
Unitarianism · Ditheism · Trinity
Omniscience · Omnipotence
Omnipresence · Omnibenevolence
in Bahá'í · in Buddhism · in Christianity
in Hinduism · in Islam · in Judaism
in Sikhism


Experience and practices
Faith · Prayer · Belief · Revelation
Fideism · Gnosis · Metaphysics
Mysticism · Hermeticism · Esotericism


Related topics
Philosophy · Religion · Ontology
God complex · Neurotheology
Problem of evil (Euthyphro dilemma • Theodicy)


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Arguments for and against the existence of God have been proposed by philosophers, theologians, and others. In philosophical terminology, "existence-of-God" arguments concern schools of thought on the epistemology of the ontology of God.

The debate concerning the existence of God raises many philosophical issues. A basic problem is that there is no universally accepted definition of God. Some definitions of God's existence are so non-specific that it is certain that something exists that meets the definition; in stark contrast, there are suggestions that other definitions are self-contradictory.

Arguments for the existence of God typically include metaphysical, empirical, inductive, and subjective types. Arguments against typically include empirical, deductive, and inductive types.

Although once regarded as a non-issue in much of western academia, the question of the existence of God is now subject to lively debate both in philosophy[1] and in popular culture.[2]

Contents

[edit] Philosophical issues

[edit] Definition of God's existence

Main articles: Definition, God, Deity, and Ontology

Today in the West, the term "God" typically refers to a monotheistic concept of a supreme being that is unlike any other being. Classical theism asserts that God possesses every possible perfection, including such qualities as omniscience, omnipotence, and perfect benevolence. Of course this definition is not the only possible definition of "God". Other philosophical approaches take a logically simple definition of God such as "the prime mover" or "the uncaused cause",[3] or "the ultimate creator"[4] or "a being greater than which nothing can be conceived"[5] from which the classical properties may be deduced.[6] By contrast Pantheists do not believe in a personal god. For example, Spinoza and his philosophical followers (such as Einstein) use the term 'God' in a particular philosophical sense, to mean (roughly) the essential substance/principles of nature.[7]

In the Advaita Vedanta school of Hinduism, reality is ultimately seen as being a single, qualityless, changeless being called nirguna Brahman. However, nirguna Brahman is understood to be beyond "ordinary" human comprehension. What we ordinarily perceive - that is, a world of many things - is brought on by consequences of our actions. Thus, Advaitin philosophy introduces the concept of saguna Brahman or Ishvara as a way of talking about Brahman to people. Ishvara, in turn, is ascribed such qualities as omniscience, omnipotence, and benevolence.[8]

Polytheistic religions use the word "god" for multiple beings with varying degrees of power and abilities. Some stories such as those of Homer and Ovid portray gods arguing with, tricking and fighting with one another.

[edit] Epistemology

Epistemology is the branch of philosophy which studies the nature, origin, and scope of knowledge. One cannot be said to "know" something just because one believes it. Knowledge is, from an epistemological standpoint, distinguished from belief by justification.

Knowledge in the sense of "understanding of a fact or truth" can be divided in a posteriori knowledge, based on experience or deduction (see methodology), and a priori knowledge from introspection, axioms or self-evidence. Knowledge can also be described as a psychological state, since in a strict sense there can never be a posteriori knowledge proper (see relativism). Much of the disagreement about "proofs" of God's existence is due to different conceptions not only of the term "God" but also the terms "proof", "truth" and "knowledge". Religious belief from revelation or enlightenment (satori) falls in the second, a priori class of "knowledge".

Different conclusions as to the existence of God often rest on different criteria for deciding what methods are appropriate for deciding if something is true or not; some examples include

  • whether logic counts as evidence concerning the quality of existence
  • whether subjective experience counts as evidence for objective reality
  • whether either logic or evidence can rule in or out the supernatural.

[edit] The problem of the supernatural

One problem posed by the question of the existence of a god is that traditional beliefs usually ascribe to God various supernatural powers. Supernatural beings may be able to conceal and reveal themselves for their own purposes, as for example in the tale of Baucis and Philemon. In addition, according to concepts of God, God is not part of the natural order, but the ultimate creator of nature and of the scientific laws.

Religious apologists offer the supernatural nature of God as one explanation of the inability of empirical methods to decide the question of God's existence. In Karl Popper's philosophy of science, the assertion of the existence of a supernatural God would be a non-falsifiable hypothesis, not in the domain of scientific investigation. The Non-overlapping Magisteria view proposed by Stephen Jay Gould also holds that the existence (or otherwise) of God is beyond the domain of science.

Proponents of intelligent design (I.D.) believe there is empirical evidence for Irreducible complexity pointing to the existence of an intelligent creator, though their claims are challenged by most in the scientific community. Even some scientifically literate theists appear to have been impressed by the observation that certain natural laws and universal constants seem "fine-tuned" to favor the development of life (see Anthropic principle). However, reliance on phenomena which have not yet been resolved by natural explanations may be equated to the pejorative God of the gaps.

Logical positivists, such as Rudolf Carnap and A. J. Ayer viewed any talk of gods as literal nonsense. For the logical positivists and adherents of similar schools of thought, statements about religious or other transcendent experiences could not have a truth value, and were deemed to be without meaning.

[edit] Nature of relevant proofs/arguments

Since God (of the kind to which the proofs/arguments relate) is neither an entity in the universe nor a mathematical object it is not obvious what kinds of arguments/proofs are relevant to God's existence. Even if the concept of scientific proof were not problematic, the fact that there is no conclusive scientific proof of the existence, or non-existence, of God[9] mainly demonstrates that the existence of God is not a normal scientific question. John Polkinghorne suggests that the nearest analogy to the existence of God in physics are the ideas of quantum mechanics which are paradoxical but make sense of a great deal of disparate data.[10]

Alvin Plantinga compares the question of the existence of God to the question of the existence of other minds: both of which are notoriously impossible to "prove" against a determined skeptic.[11]

One approach, suggested by writers such as Stephen D. Unwin, is to treat (particular versions of) theism and naturalism as though they were two hypotheses in the Bayesian sense, to list certain data (or alleged data), about the world, and to suggest that the likelihoods of these data are significantly higher under one hypothesis than the other[12] Most of the arguments for, or against, the existence of God can be seen as pointing to particular aspects of the universe in this way. In almost all cases it is not seriously suggested by proponents of the arguments that they are irrefutable, merely that they make one worldview seem significantly more likely than the other. However, since an assessment of the weight of evidence depends on the prior probability that is assigned to each worldview, arguments that a theist finds convincing may seem thin to an atheist and vice-versa.[13]

[edit] Arguments for the existence of God

[edit] Arguments from historical events or personages

[edit] Inductive arguments

Inductive arguments argue their conclusions through inductive reasoning.

  • Another class of philosophers asserts that the proofs for the existence of God present a fairly large probability though not absolute certainty. A number of obscure points, they say, always remain; an act of faith is required to dismiss these difficulties. This view is maintained, among others, by the Scottish statesman Arthur Balfour in his book The Foundations of Belief (1895). The opinions set forth in this work were adopted in France by Ferdinand Brunetière, the editor of the Revue des deux Mondes. Many orthodox Protestants express themselves in the same manner, as, for instance, Dr. E. Dennert, President of the Kepler Society, in his work Ist Gott tot?.[17]

[edit] Arguments from testimony

Arguments from testimony rely on the testimony or experience of certain witnesses, possibly embodying the propositions of a specific revealed religion. Swinburne argues that it is a principle of rationality that one should accept testimony unless there are strong reasons for not doing so.[18]

  • The witness argument gives credibility to personal witnesses, contemporary and throughout the ages. A variation of this is the argument from miracles which relies on testimony of supernatural events to establish the existence of God.
  • The majority argument argues that the theism of people throughout most of recorded history and in many different places provides prima facie demonstration of God's existence.

[edit] Arguments grounded in personal experience

  • The Scotch School led by Thomas Reid taught that the fact of the existence of God is accepted by us without knowledge of reasons but simply by a natural impulse. That God exists, this school said, is one of the chief metaphysical principles that we accept not because they are evident in themselves or because they can be proved, but because common sense obliges us to accept them.
  • The Argument from a Proper Basis argues that belief in God is "properly basic"; that it is similar to statements like "I see a chair" or "I feel pain". Such beliefs are non-falsifiable and, thus, neither provable nor disprovable; they concern perceptual beliefs or indisputable mental states.
  • In Germany, the School of Friedrich Heinrich Jacobi taught that our reason is able to perceive the suprasensible. Jacobi distinguished three faculties: sense, reason, and understanding. Just as sense has immediate perception of the material so has reason immediate perception of the immaterial, while the understanding brings these perceptions to our consciousness and unites them to one another.[19] God's existence, then, cannot be proven (Jacobi, like Immanuel Kant, rejected the absolute value of the principle of causality), it must be felt by the mind.
  • In Emile, Jean-Jacques Rousseau asserted that when our understanding ponders over the existence of God it encounters nothing but contradictions; the impulses of our hearts, however, are of more value than the understanding, and these proclaim clearly to us the truths of natural religion, namely, the existence of God and the immortality of the soul.
  • The same theory was advocated in Germany by Friedrich Schleiermacher (died 1834), who assumed an inner religious sense by means of which we feel religious truths. According to Schleiermacher, religion consists solely in this inner perception, and dogmatic doctrines are inessential.[20]
  • Many modern Protestant theologians follow in Schleiermacher's footsteps, and teach that the existence of God cannot be demonstrated; certainty as to this truth is only furnished us by inner experience, feeling, and perception.
  • Modernist Christianity also denies the demonstrability of the existence of God. According to them we can only know something of God by means of the vital immanence, that is, under favorable circumstances the need of the divine dormant in our subconsciousness becomes conscious and arouses that religious feeling or experience in which God reveals himself to us. In condemnation of this view the oath against modernism formulated by Pius X says: "Deum ... naturali rationis lumine per ea quae facta sunt, hoc est per visibilia creationis opera, tanquam causam per effectus certo cognosci adeoque demostrari etiam posse, profiteor." ("I declare that by the natural light of reason, God can be certainly known and therefore his existence demonstrated through the things that are made, i.e., through the visible works of creation, as the cause is known through its effects.")

[edit] Arguments against belief in God

Each of the following arguments aims at showing either that a particular subset of gods do not exist (by showing them as inherently meaningless, contradictory, or at odds with known scientific or historical facts) or that there is insufficient reason to believe in them.

[edit] Empirical arguments

Empirical arguments depend on empirical data in order to prove their conclusions.

  • The argument from poor design contests the idea that God created life on the basis that lifeforms exist which seem to exhibit poor design.
  • The argument from nonbelief contests the existence of an omnipotent God who wants humans to believe in him by arguing that such a god would do a better job of gathering believers.
  • The argument from parsimony contends that since natural (non-supernatural) theories adequately explain the development of religion and belief in god,[21] the actual existence of such supernatural agents is superfluous and may be dismissed unless otherwise proven to be required to explain the phenomenon.

[edit] Deductive arguments

Deductive arguments attempt to prove their conclusions by deductive reasoning from true premises. These arguments inherently depend on specific definitions of the term "God".

  • The omnipotence paradox suggests that the concept of an omnipotent entity is logically contradictory, from considering a question like: "Can God create a rock so big that he cannot lift it?" or "If God is all powerful, could God create a being more powerful than itself?".
  • Another argument suggests that there is a contradiction between God being omniscient and omnipotent, basically asking "how can an all-knowing being change its mind?" See the article on omniscience for details.
  • The argument from free will contests the existence of an omniscient god who has free will - or has allotted the same freedom to his creations - by arguing that the two properties are contradictory. According to the argument, if God already knows the future, then humanity is destined to corroborate with his knowledge of the future and not have true free will to deviate from it. Therefore our free will contradicts an omniscient god.
  • The Transcendental argument for the non-existence of God contests the existence of an intelligent creator by suggesting that such a being would make logic and morality contingent, which is incompatible with the presuppositionalist assertion that they are necessary, and contradicts the efficacy of science. A more general line of argument based on this argument seeks to generalize this argument to all necessary features of the universe and all god-concepts.[22]
  • The counter-argument against the Cosmological argument ("chicken or the egg") takes its assumption that things cannot exist without creators and applies it to God, setting up an infinite regress. This attacks the premise that the universe is the second cause (after God, who is claimed to be the first cause).
  • Theological noncognitivism, as used in literature, usually seeks to disprove the god-concept by showing that it is unverifiable by scientific tests.
  • It is alleged that there is a logical impossibility in theism: God is defined as an extra-temporal being, but also as an active creator. The argument suggests that the very act of creation is inconceivable and absurd beyond the constraints of time and space, and the fact that it cannot be proven if God is in either.[23]

[edit] Inductive arguments

Inductive arguments argue their conclusions through inductive reasoning.

  • The atheist-existentialist argument for the non-existence of a perfect sentient being states that if existence precedes essence, it follows from the meaning of the term sentient that a sentient being cannot be complete or perfect. It is touched upon by Jean-Paul Sartre in Being and Nothingness. Sartre's phrasing is that God would be a pour-soi [a being-for-itself; a consciousness] who is also an en-soi [a being-in-itself; a thing]: which is a contradiction in terms. The argument is echoed thus in Salman Rushdie's novel Grimus: "That which is complete is also dead."
  • The "no reason" argument tries to show that an omnipotent or perfect being would not have any reason to act in any way, specifically creating the universe, because it would have no desires since the very concept of desire is subjectively human. As the universe exists, there is a contradiction, and therefore, an omnipotent god cannot exist. This argument is espoused by Scott Adams in the book God's Debris.

[edit] Subjective arguments

Similar to the subjective arguments for the existence of God, subjective arguments against the supernatural mainly rely on the testimony or experience of witnesses, or the propositions of a revealed religion in general.

  • The witness argument gives credibility to personal witnesses, contemporary and from the past, who disbelieve or strongly doubt the existence of God.
  • The conflicted religions argument where specific religions give differing accounts as to what God is and what God wants. All the contradictory accounts cannot be correct, so many if not all religions must be incorrect.

[edit] Conclusions

Conclusions on the existence of God can be divided along numerous axes, producing a variety of orthogonal classifications. Theism and atheism relate to belief about the existence of gods, while agnosticism relates to belief about whether the existence of gods is (or can be) known. Ignosticism concerns belief regarding God's conceptual coherence.

[edit] Theism

The theistic conclusion is that the arguments indicate there is sufficient reason to believe that at least one god exists.

[edit] God exists and this can be demonstrated

The Catechism of the Catholic Church, following the Thomist tradition and the dogmatic definition of the First Vatican Council, affirms that it is a doctrine of the Catholic Church that God's existence has been rationally demonstrated. For the proofs of God's existence by Saint Thomas Aquinas see Quinquae viae. Many other Christian denominations share the view that God's existence can be demonstrated without recourse to claims of revelation.

On beliefs of Christian faith, theologians and philosophers make a distinction between:

  1. doctrines arising from special revelation that arise essentially from faith in divinely inspired revelations, including the life of Christ, but cannot be proved or even anticipated by reason alone, such as the doctrines of the Trinity or the Incarnation, and
  2. doctrines arising from general revelation, that is from reason alone drawing conclusions based on relatively obvious observations of the world and self.

The argument that the existence of God can be known to all, even prior to exposure to any divine revelation, predates Christianity. St. Paul made this argument when he insisted that pagans were without excuse because "since the creation of the world [God's] invisible nature, namely, his eternal power and deity, has been clearly perceived in the things that have been made".[24] In this Paul alludes to the proofs for a creator, later enunciated by St. Thomas[25] and others, but that had also been explored by the Greek philosophers.

Another apologetical school of thought, a sort of synthesis of various existing Dutch and American Reformed thinkers (such as, Abraham Kuyper, Benjamin Warfield, Herman Dooyeweerd), emerged in the late 1920s. This school was instituted by Cornelius Van Til, and came to be popularly called Presuppositional apologetics (though Van Til himself felt "transcendental" would be a more accurate title). The main distinction between this approach and the more classical evidentialist approach mentioned above is that the presuppositionalist denies any common ground between the believer and the non-believer, except that which the non-believer denies, namely, the assumption of the truth of the theistic worldview. In other words, presuppositionalists don't believe that the existence of God can be proven by appeal to raw, uninterpreted (or, "brute") facts, which have the same (theoretical) meaning to people with fundamentally different worldviews, because they deny that such a condition is even possible. They claim that the only possible proof for the existence of God is that the very same belief is the necessary condition to the intelligibility of all other human experience and action. In other words, they attempt to prove the existence of God by means of appeal to the alleged transcendental necessity of the belief -- indirectly (by appeal to the allegedly unavowed presuppositions of the non-believer's worldview) rather than directly (by appeal to some form of common factuality). In practice this school utilizes what have come to be known as transcendental arguments. In these arguments they claim to demonstrate that all human experience and action (even the condition of unbelief, itself) is a proof for the existence of God, because God's existence is the necessary condition of their intelligibility.

[edit] God exists, but this cannot be demonstrated or refuted

Others have suggested that the several logical and philosophical arguments for and against the existence of God miss the point. The word God has a meaning in human culture and history that does not correspond to the beings whose existence is supported by such arguments, assuming they are valid. The real question is not whether a "most perfect being" or an "uncaused first cause" exist; the real question is whether Yahweh or Vishnu or Zeus, or some other deity of attested human religion, exists, and if so, which deity. Most of these arguments do not resolve the issue of which of these figures is more likely to exist. Blaise Pascal suggested this objection in his Pensées when he wrote "The God of Abraham, God of Isaac, and God of Jacob — not the god of the philosophers!", see also Pascal's wager.

Some Christians note that the Christian faith teaches "salvation is by faith",[26] and that faith is reliance upon the faithfulness of God, which has little to do with the believer's ability to comprehend that in which he trusts.

The most extreme example of this position is called fideism, which holds that faith is simply the will to believe, and argues that if God's existence were rationally demonstrable, faith in its existence would become superfluous. In The Justification of Knowledge, the Calvinist theologian Robert L. Reymond argues that believers should not attempt to prove the existence of God. Since he believes all such proofs are fundamentally unsound, believers should not place their confidence in them, much less resort to them in discussions with non-believers; rather, they should accept the content of revelation by faith. Reymond's position is similar to that of his mentor, Gordon Clark, which holds that all worldviews are based on certain unprovable first premises (or, axioms), and therefore are ultimately unprovable. The Christian theist therefore must simply choose to start with Christianity rather than anything else, by a "leap of faith". This position is also sometimes called presuppositional apologetics, but should not be confused with the Van Tillian variety discussed above.

An intermediate position is that of Alvin Plantinga who holds that a specific form of modal logic and an appeal to world-indexed properties render belief in the existence of God rational and justified, even though the existence of God cannot be proven in a mathematical sense. Plantinga equates knowledge of God's existence with kinds of knowledge that are rational but do not proceed through proof, such as sensory knowledge.[27]

[edit] Atheism

The atheistic conclusion is that the arguments indicate there is insufficient reason to believe that any gods exist.

[edit] Strong atheism

Strong atheism is the position that a god or gods do not exist. The strong atheist explicitly asserts God's non-existence.[28] Some strong atheists further assert that the existence of some or all gods is logically impossible, for example claiming that the combination of attributes which God may be asserted to have (for example: omnipotence, omniscience, omnipresence, transcendence, omnibenevolence) is logically contradictory, incomprehensible, or absurd, and therefore that the non-existence of such a god is a priori true. It needs to be noted that believing the qualities of a particular god to be contradictory is not the sole basis of strong atheism; many strong atheists would assert that, owing to the lack of evidence, even a god described in a manner that was not contradictory is still unlikely to exist.

[edit] Weak atheism

The term weak atheism is used of those who neither believe that a god or gods exists, nor believe that no gods exist. This is orthogonal to agnosticism which states that whether gods exist is either unknown or unknowable. There is some controversy in the use of this term. Richard Dawkins in The God Delusion uses the term "strong atheist" but not "weak atheist"[29]

[edit] Psychological Issues

In his book "Minds and Gods: The Cognitive Foundations of Religion," Todd Tremlin argues that universal human cognitive process naturally produce gods. In particular, an agency detection device (ADD) and a theory of mind module (ToMM) lead us to expect an agent behind every event. We err on the side of attributing agency where there isn't any - a trait that no doubt served our ancestors well.

We ask why we are here and whether life has purpose; we are anxious about being alone. Religious beliefs may recruit the cognitive mechanisms. William James emphasized the inner religious struggle between melancholy and happiness, and pointed to trance as a cognitive mechanism. Sigmund Freud stressed fear and pain, the need for a powerful parent to care for us, the obsessional nature of ritual, and the hypnotic state a community can induce.

[edit] See also

[edit] Further reading

[edit] Notes

  1. ^ see eg The Rationality of Theism quoting Quentin Smith "God is not 'dead' in academia; he returned to life in the late 1960s". They cite "the shift from hostility towards theism in Paul Edwards's Encyclopedia of Philosophy (1967) to sympathy towards theism in the more recent Routledge Encyclopedia of Philosophy
  2. ^ Consider the sales and lively discussion of a whole raft of recent books arguing for and against theism, such as The God Delusion by Richard Dawkins and The Language of God by Francis Collins
  3. ^ Both following Aquinas, see Quinquae viae.
  4. ^ A modern re-statement, see [1]
  5. ^ Following Anselm's Ontological argument
  6. ^ See Swinburne's Does God Exist? or Polkinghorne
  7. ^ See the articles on them, and especially Einstein's 1940 paper in Nature
  8. ^ Hebbar, Neria Harish. The Principal Upanishads. Retrieved on 2007-01-12.
  9. ^ Agreed by everyone from Dawkins to Ward to Plantinga
  10. ^ Polkinghorne, John (1998). Belief in God in an Age of Science. Yale University Press. ISBN 0300072945. 
  11. ^ see his God and Other Minds: A Study of the Rational Justification of Belief in God Cornell (1990) ISBN 0801497353 and Warranted Christian Belief OUP (2000) ISBN 0195131932
  12. ^ See eg the Beale/Howson debate published in Prospect May, 1998
  13. ^ see eg The Probability of God by Stephen D. Unwin its criticism in The God Delusion, and the critical comment in that article.
  14. ^ PLANTINGA, ALVIN (1998). God, arguments for the existence of. In E. Craig (Ed.), Routledge Encyclopedia of Philosophy. London: Routledge. Retrieved March 3, 2007, from [2] he attributes this to Charles Hartshorne
  15. ^ See the books by Nicky Gumbel on the subject.
  16. ^ Polkinghorne, John. Science and Christian Belief, pp. 108-122.  Contains a highly scientifically-aware discussion of the evidence.
  17. ^ (Stuttgart, 1908)
  18. ^ Swinburne, Richard (1997). Is there a God?. Oxford University Press. ISBN 0198235453. 
  19. ^ (A. Stöckl, Geschichte der neueren Philosophie, II, 82 sqq.)
  20. ^ (Stöckl, loc. cit., 199 sqq.)
  21. ^ Religion Explained: The Evolutionary Origins of Religious Thought, Pascal Boyer, Basic Books (2001)
  22. ^ Introduction To Materialist Apologetics
  23. ^ Baake, David. Cosmological Arguments Against the Existence of God. Retrieved on 2007-01-12.
  24. ^ Romans 1:20
  25. ^ For the proofs of God's existence by Saint Thomas Aquinas see Quinquae viae.
  26. ^ 2 Timothy 3:14-15 NIV "But as for you, continue in what you have learned and have become convinced of, because you know those from whom you learned it, and how from infancy you have known the holy Scriptures, which are able to make you wise for salvation through faith in Christ Jesus." (Scripture taken from the HOLY BIBLE, NEW INTERNATIONAL VERSION®. Copyright © 1973, 1978, 1984 International Bible Society. Used by permission of Zondervan. All rights reserved.)
  27. ^ Plantinga, Alvin (1974). The Nature of Necessity. New York: Oxford University Press, page 63. “An object has all its world-indexed properties in every world in which it exists. So if we take an object x and a property P and worlds W and W* such that x has the properties of having-P-in-W and having-non-P-in-W*, we will find that x also has the properties of having-P-in-W-in-W* and having-non-P-in-W*-in-W” 
  28. ^ Richard Dawkins is the most famous contemporary example, in a line stretching back through Russell and Marx to the 18th Century
  29. ^ The God Delusion p50

30. Critical examination of Richard Dawkin's position http://www.alislam.org/library/books/revelation/part_5_section_13.html

14. ^ See eg The Probability of God by Stephen D. Unwin, its criticism in The God Delusion, the critical comment in that article, and elsewhere.

[edit] References and Further Reading

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