God, Reason, and the Laws of Logic
by Mike Robinson
Definitions are important in communication; perhaps the fallen nature and finiteness of men make understanding many philosophical issues difficult to fully grasp or defend. It may surprise the reader that very few apologetic works provide clear and explicit definitions of the terms logic, the laws of logic, and reason; including many classical and presuppositional apologetic books. Furthermore, regarding some doctrines (the Trinity; Sovereignty; the Incarnation; etc.) conceivably one might have to utilize philosophical and theological distinctions that are so minutely exact and fine that a fallible finite man could under no circumstance, in principle, comprehend them entirely. Thus one must study essential classifications and delineations as one communicates eternal truths with humility.
I. Distinctions I Maintain Between Logic and the Laws of Logic
Logic: “The study of argument [not a quarrel]; a piece of reasoning in which one or more statements are offered as support for some other statement” (S. Morris Engel: With Good Reason).
Logic is: (1) The Science of Argument. (2) A Hermeneutical Tool. (3) A Science of Commitment (John Frame: DKG, p. xi).
Logic is the study of the methods and principles used to distinguish correct from incorrect reasoning (Irving Copi: Introduction to Logic).
The Laws of Logic: Laws of thought and reason that are immaterial, aspatial, atemporal, universal, obligatory, necessary, immutable, and absolute. Some academics identify them as the laws of thought, the laws of truth, or the laws of reason. Various scholars strongly prefer to name them the laws of logic because they are independent of human minds and are ubiquitous throughout all experience. All rational thinking (and communication) presupposes and uses the laws of logic.
The Law of Identity (LOI) is A=A. The most well-known law is the Law of Non-contradiction (LNC): A cannot be A and Non-A at the same time in the same way (A~~A). A man cannot be his own father.
The laws of logic “are basic principles of reasoning” (Frame: CVT).
The laws of logic reflect the nature and mind of the God of the Bible; thus, they have ontological grounding—that is, they are grounded in the very nature of truth itself and cannot be reduced to human convention, opinion or psychology. Without these laws, knowledge and rational thinking are impossible. To deny the laws of logic, one must use these laws in one’s attempt to deny them. Those who deny the laws of logic are participating in a self-defeating endeavor. The Law of Non-contradiction (the Principle of Contradiction or the Law of Contradiction) is perpetually necessary and in the words of Aristotle: “One cannot say of something that it is and that it is not in the same respect and at the same time.”
Various scholars assert that the Law of Excluded Middle may have real exceptions.
Allan Bloom stated that “The earliest-known explicit statement of the principle of contradiction, the premise of philosophy, and the foundation of rational discourse” is given in Plato’s Politeia. Therein is where the character Socrates states, “It’s plain that the same thing won’t be willing at the same time to do or suffer opposites with respect to the same part and in relation to the same thing” (all the above are excerpts from my Apologetic Book: Truth, Knowledge, and the Reason for God at: http://thelordgodexists.com/product/truth-knowledge-and-the-reason-for-god-the-defense-of-the-rational-assurance-of-christianity/).
"The law of contradiction [LNC] cannot be thought of as operating anywhere except against the background of the nature of God” (Van Til: IST).
II. Definitions of the Term Logic
Logic: enables us to think in a rational, systematic and orderly way.
Etymological definition: logike is the Greek term that means thought; a treatise pertaining to thought.
Logic real definition: commonly defined as the art and science of correct inferential thinking deals with the laws, methods and principles of correct thinking. Through Logic, we acquire the techniques and skill of thinking correctly whereby our mind is able to proceed with order, ease and without error, when we master the techniques and acquire the skill of correct thinking then we are able to expound our thought orderly, clearly and systematically
Logic as the study of the methods and principles used to distinguish correct reasoning from incorrect reasoning. Thus it provides us with the techniques for testing the correctness (and also the incorrectness) of arguments (Copi).
Logic real definition as a Science: It is a systematized body of knowledge about the principles and laws of correct inferential thinking. It follows certain rules and laws in arriving at valid conclusions.
Logic real definition as an Art: The art of reasoning. It requires mastery of the laws and principles of correct inferential thinking. Reasoning conducted or assessed according to strict principles of validity.
Aristotelian logic: A particular system or codification of the principles of proof and inference. (http://www.slideshare.net/ulrick04/1a-logic-intro).
III. Additional Definitions of the Terms Logic and Reason
Logic: Removing or preventing contradictions in one's thoughts or ideas. Logic is the art of conforming one's thoughts to the Law of Identity. In one respect, thoughts have to conform to the Law of Identity, as does everything else. This has to do with the nature of thoughts. Ideas have a different nature than memories, which are different from emotions. In this respect, all thoughts conform to the Law of Identity.
In a different respect, though, it requires focused action to conform to the Law of Identity. Ideas have content. This content is generated by the thinker from perceptual data. However, it may be generated incorrectly. Logic requires the content to be clear and identifiable. It requires that no contradiction exist within the idea.
Logic is used in integrating ideas as well. Again, it is the process of conforming to the Law of Identity. What this means in practice is combining information clearly, and without contradiction. It must be combined into a specific, identifiable package, that doesn't contradict itself.
Logic is the art of non-contradictory identification. It is the mental tool that sets the standard for proper thought. It is the foundation of knowledge. It is the means of understanding and clarity. Without logic, we could not distinguish between the true and the false. We could not throw out bad ideas because we could not judge them as bad. Without logic, our minds would be cluttered with so many absurdities and falsehoods that if there was some truth, it would be lost in the garbage of contradictions, fuzzy thoughts, and non-integrated mental images. (www.ImportanceofPhilosphy.com)
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Reason: Rational capacity, and the ability and proclivity to follow the same in a logical manner. To reason or to use one's reasons in an orderly manner. The concept of reason is closely related to the concepts of language and logic, as reflected in the multiple meanings of the Greek word logos, the root of logic, which translated into Latin became ratio and then in French raison, from which the English word "reason" was derived. In contrast to reason more generally, language refers not to the thinking as such, but to the communication or potential communication of rational thoughts.
Reason: (1) The ability to understand and explain cogently, based on evidence and according to logical principles; (2) the ability to treat others fairly and decently, unless one is harmed by them.
A. This is a fundamental human capacity, and based on the capacity to represent things symbolically. A cogent explanation is one that is based on true or probable premises and deductively entails what it explains. Science is based on reason, and the test that something is a real science is that it has produced a real technology that works independent of belief in or understanding of the science that produced it.
There are three basic kinds of reasoning, where reasoning involves argumentation of any kind using assumptions and inferences of conclusions:
1. Deductions: To find conclusions that follow from given assumptions
2. Abductions: To find assumptions from which given conclusions follows
3. Inductions: To confirm or infirm assumptions by showing their conclusions do (not) conform to the observable facts.
Normally in reasoning all three kinds are involved: We explain supposed facts by abductions; we check the abduced assumptions by deductions of the facts they were to explain; and we test the assumptions arrived by deducing consequences and then revising by inductions the probabilities of the assumptions by probabilistic reasoning when these consequences are verified or falsified.
B. The term "reason" is used in another sense, that is more related to morals and ethics than to science. In this sense, one is reasonable if one treats others fairly, does not harm them unless attacked, does not deceive them without provocation, and in general behaves towards them according to some schema of values that chart what it is to be virtuous (www.PhilosophicalDicitonary.com).
I do not believe Van Til defines reason anywhere, but it is clear that he views it primarily as a human capacity or faulty. Specially, reason is the capacity of a person to think and act according to logical norms, including the capacity to form beliefs, draw inferences, and formulate arguments (Frame: CVT).
Reason is the power or capacity whereby we see or detect logical relationships among propositions (Alvin Plantinga: Warranted Christian Belief).
Supporting Material on The Laws of Logic
Laws of logic are also known as the laws of truth, thought, and reason (many prefer to designate them the laws of logic since they are ubiquitous throughout human experience). These laws are immaterial, aspatial, atemporal, universal, obligatory, necessary, immutable, and absolute. Some academics identify them as the laws of thought, the laws of truth, or the laws of reason. A few scholars strongly prefer to name them the laws of logic because they are independent of human minds. All rational thinking (and communication) presupposes and uses the laws of logic.
The Law of Identity (LOI) is A=A. The most well-known law is the Law of Non-contradiction (LNC): A cannot be A and Non-A at the same time in the same way (A~~A). A man cannot be his own father.
The laws of logic reflect the nature and mind of the Triune God; thus, they are grounded in the very nature of God and cannot be reduced to human psychology. Without these laws, knowledge and rational thinking are impossible. To reject the laws of logic, one must use these laws in one’s attempt to reject them.
The ultimate norms for human knowledge are found not in any human mind or minds, or anywhere else in creation, but in the mind of God (James Anderson: Speaking the Truth in Love).
There are things that transcend the material realm, including the laws of logic. A = A (Law of Identity) and A~~A (Law of Non-contradiction) universally; an immutable universal (something that is always true) cannot be grounded by a mutable particular (non-universal) cosmos, which non-theism rests upon. Therefore non-theism lacks the necessary endowment to underwrite the laws of logic.
I employ the expression “a particular” as an individual thing, a specific entity that may be material, abstract, or spiritual. It lacks universal reach forasmuch as it is one finite thing. A material particular cosmos that is mutable lacks universality and immutability required to account for the universal immutable laws of logic; Yahweh possesses these attributes, thus He sufficiently accounts for the laws of logic. The laws of logic must be utilized in everything one does: in all one’s actions and in all knowledge claims. They are inescapable; hence Yahweh is inescapable.
This argument contends that one would have to believe the contrary of the possible, a universal law of logic exists, yet logically it’s not possible to demonstrate that a law of logic’s existence is impossible, thus the law of logic’s existence is logically necessary inasmuch as a law of logic, by definition, is an ubiquitous universal.
This contention is not a gap dependent argument since it does not ascribe to divine work something which may possibly, in principle, be explained through mutable natural causes. The whole of the natural world is in a state of flux, all natural things change. Thus one cannot argue for a mutable ground to account for the immutable laws of logic. On cannot appeal to individual mutable natural causes to account for immutable universals such as the laws of logic.
In the beginning was the Word (Logos) and the Word was with God and the Word was God (John 1:1).
Belief in God is ultimately, of course, the presupposition that controls even one’s concept of reason itself (John Frame, DKG).
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In the E-Book
God and Logic: Proof for Theism, Mike Robinson demonstrates that God is the true foundation for the Laws of Logic and that atheism lacks the necessary substructure to ground these laws of thought. Many noteworthy issues that atheism upholds are tackled with clarity, precision, and thoughtfulness. Throughout this volume the author informs, needles, illumines, elucidates, enlivens, and motivates the reader with powerful truth regarding the laws of logic. This work is accessible, fluid, and loaded with useful arguments for Christian Theism.
Aristotle, Frege, the Laws of Logic, and Theism is not the typical criticism of atheism; it utilizes new ground proclaimed by numerous and diverse apologetic advancements.
The eternal Logos is a Necessary Truth Condition of Human Knowledge
In the beginning was the Logos … (John 1:1).
Jesus’ ontology (His being and essence) is a substantial element of Christianity, for He is the great Logos (John 1:1), and logic is an attribute of His being and nature. Christians are a community that can account for reason; as reason comes from the nature of God. The true God is the God of reason. Reason cannot be held over His head in a type of Eurythro Dilemma, but is a reflection of His nature; additionally we must espouse it in submission to His revelation in the Bible. Christians should base their worldview on God’s word and His character. The Laws of Reason (Laws of Logic) have no material content. One cannot put the laws of reason (A = A; A~~A) in a bowl and pour milk over them. The abstract application of reason also has no material content.
The laws of logic are essential (they are immutable universals) and an a priori truth condition for any communication. Logic is the foundational instrument necessary for all utterance, debate, science, mathematics, and learning. Without using the laws of logic, one could not deny that logic is mandatory for communication. God is necessary to account for the universal operational features within rationality--including the laws of logic.
Without the transcendent, immutable, and universal-in-reach God, one cannot justify or account for the transcendent, immutable and universal rules of logic. God is the truth condition for laws of reason. Also known as the laws of truth (Frege), these laws are an a priori truth condition for knowledge, discourse, and argument. Logic is absolutely necessary for the intelligibility of life and God is absolutely necessary for logic. Thus, the Triune God is, and has to be. And He alone is God. No other named god supplies the obligatory truth conditions for the intelligibility of this world.
Suggested Reading
• Adler, Mortimer (1985). Ten Philosophical Mistakes. St. Martins
• Aristotle, Metaphysics. Oxford.
• Bahnsen, Greg (1996), Always Ready, Covenant Media.
• Bahnsen (1998). Van Til’s Apologetic, P & R.
• Carroll, Lewis (1989). Best of Lewis Carroll, Castle.
• Charnock, Stephen. ([1684], 2000), The Existence and Attributes of God, Baker Books.
• Clark, Gordon (1961). Religion, Reason, and Revelation, Trinity Foundation.
• Frame, John (1994). Apologetics to the Glory of God, P & R.
• Engel, S. Morris (1994). With Good Reason, St. Martins.
• Frame, John (1987). The Doctrine of the Knowledge of God, P & R.
• Garson, James (2006). Modal Logic for Philosophers. Cambridge.
• Girle, Rod (2000). Modal Logic and Philosophy, McGill.
• Goble, Lou (2001). The Blackwell Guide to Philosophical Logic, Blackwell.
• Hughes, G.E. (1995), A new Introduction to Modal Logic, Routledge.
• Hunter, Geoffrey (1973). Metalogic, Campus.
• Konyndyk, Kenneth (1986). Introductory Modal Logic, ND Press.
• Lambert, Karel (1991), Philosophical Applications of Free Logic, Oxford.
• Lewis, C.I. (1946). An Analysis of Knowledge and Valuation., Open Court.
• Lewis, C.I. (1969) Values and Imperatives, ed. by J. Lange, Stanford University Press.
• Lonergan, Bernard (1970). Insight, Philosophical Library.
• Plantinga, Alvin (2000), Warranted Christian Belief, Oxford Univ. Press.
• O’Connor, Timothy (2008), Theism and Ultimate Explanation, Blackwell.
• Quine, W.V.O. (1993), Pursuit of Truth, Harvard University Press.
• Stern, Robert (2000). Transcendental Arguments and Skepticism, Oxford University Press.
• Strawson, P.F. (1966). The Bounds of Sense, Methuen & Co.
• Strawson, P.F. (1963). Introduction to Logical Theory, Methuen & Co.
• Stroud, Barry (1968). “Transcendental Arguments,” Journal of Philosophy 65.
• Tarski, Alfred (1961). Introduction to Logic. Dover.
• Van Til, (1980), Survey of Christian Epistemology, P & R.
• Van Til, (2007), Introduction to Systematic Theology, P & R.