See also: List of logical fallacies that atheists commonly commit at: Atheism and logical fallacies
Atheism and the laws of logic
Concerning atheism and logic, Cold Case Christianity declares:
|“|| God is eternal, uncaused, omniscient and omnipotent. He is the all-knowing and all-powerful Creator; the necessary, uncaused first cause of all matter, space and time. He has thoughts and possesses a particular character, essence and nature. Because He is all-powerful and all-knowing, these attributes are perfected (an all-powerful and all-knowing God has the power to eliminate imperfection). The Laws of Logic are simply an attribute and reflection of God’s perfect existence; God does not create these laws, they are an innate and immutable aspect of His nature. As God is necessary for all else to exist, so are the Laws of Logic. They are merely a reflection of His Being, and they permeate all of His creation.
Both the atheist and the theist agree something is eternal, uncaused and necessary. But when the atheist says the Laws of Logic “simply exist”, he’s begging the question; he’s not providing an explanation for the eternal, uncaused and necessary existence of the laws (saying they exist does not provide us with an explanation for their existence). Theists, on the other hand, can make a case for God’s existence from a number of evidential lines, providing a reasonable foundation from which logical absolutes can then be elucidated. In addition, atheism fails to explain how the Laws of Logic can be eternal and uncaused and what role they play in causing all other contingent realities. Theism, on the other hand, accounts for the existence of the Laws of Logic by pointing to the existence of an omniscient and omnipotent uncaused, first cause possessing perfect rationality (by virtue of His limitless power) who also acts as the first cause of all other dependent (contingent) creations.
The Laws of Logic are conceptual. They only exist in the mind. They don’t describe physical behaviors or actions of matter, but instead describe conceptual truths. Logical axioms are statements dealing with conceptual patterns and processes of thought. 
Dr. Jason Lisle wrote on atheism's failure to account for the laws of logic:
|“|| Reasoning involves using the laws of logic. These include the law of non-contradiction which says that you can’t have A and not-A at the same time and in the same relationship. For example, the statement “My car is in the parking lot, and it is not the case that my car is in the parking lot” is necessarily false by the law of non-contradiction. Any rational person would accept this law. But why is this law true? Why should there be a law of non-contradiction, or for that matter, any laws of reasoning? The Christian can answer this question. For the Christian there is an absolute standard for reasoning; we are to pattern our thoughts after God’s. The laws of logic are a reflection of the way God thinks. The law of non-contradiction is not simply one person’s opinion of how we ought to think, rather it stems from God’s self-consistent nature. God cannot deny Himself ( 2 Timothy 2:13), and so, the way God upholds the universe will necessarily be non-contradictory.
Laws of logic are God’s standard for thinking. Since God is an unchanging, sovereign, immaterial Being, the laws of logic are abstract, universal, invariant entities. In other words, they are not made of matter—they apply everywhere and at all times. Laws of logic are contingent upon God’s unchanging nature. And they are necessary for logical reasoning. Thus, rational reasoning would be impossible without the biblical God.
The materialistic atheist can’t have laws of logic. He believes that everything that exists is material—part of the physical world. But laws of logic are not physical. You can’t stub your toe on a law of logic. Laws of logic cannot exist in the atheist’s world, yet he uses them to try to reason. This is inconsistent. He is borrowing from the Christian worldview to argue against the Christian worldview. The atheist’s view cannot be rational because he uses things (laws of logic) that cannot exist according to his profession.
Atheism, logic and presuppositional apologetics
There are number of arguments that Christian apologists employment to rebut atheism from a logic and presuppositions perspective (see: Atheism, logic and presuppositional apologetics).
Transcendental argument for the existence of God
During his debate with Dr. Gordon Stein, Bahnsen pointed out that the atheist worldview cannot account for the laws of logic, but the Christian worldview can. See also: Transcendental argument for the existence of God
Logical arguments for the existence of God
- Atheism by Matt Slick
- Putting the Atheist on the Defensive by Kenneth R. Samples, Christian Research Institute Journal, Fall 1991, and Winter 1992, page 7.
- Atheists don’t own reason by Tom Gilson
- Why the Burden of Proof is on the Atheist by Professor Ralph McInerny
- Theism, Atheism, and Rationality by Alvin Plantinga
- The Irrational atheist: Dissecting the Unholy Trinity of Dawkins, Harris, and Hitchens by Vox Day, Benbella Books, Dallas, TX, 2008 , ISBN 1933771364; ISBN 978-1933771366
- Is God Real? Examining Atheistic Explanations for the Laws of Logic as “Brute Realities”
- Pushing the Antithesis on Greg Bahnsen
- Atheism: An Irrational Worldview by Dr. Jason Lisle on October 10, 2007
- Presuppositional Apologetics CARM. 5 May 2008
- The Great Debate: Greg Bahnsen vs Gordon Stein
- Greg Bahnsen vs. Gordon Stein: The Great Debate (FULL)
- "The Great Debate: Does God Exist?"