All thinking is a process of identification and integration. Man perceives a blob of color; by integrating the evidence of his sight and his touch, he learns to identify it as a solid object; he learns to identify the object as a table; he learns that the table is made of wood; he learns that the wood consists of cells, that the cells consist of molecules, that the molecules consist of atoms. All through this process, the work of his mind consists of answers to a single question: What is it? His means to establish the truth of his answers is logic, and logic rests on the axiom that existence exists. Logic is the art of non-contradictory identification. A contradiction cannot exist. An atom is itself, and so is the universe; neither can contradict its own identity; nor can a part contradict the whole. No concept man forms is valid unless he integrates it without contradiction into the total sum of his knowledge. To arrive at a contradiction is to confess an error in one’s thinking; to maintain a contradiction is to abdicate one’s mind and to evict oneself from the realm of reality.
The fundamental concept of method, the one on which all the others depend, is logic. The distinguishing characteristic of logic (the art of non-contradictory identification) indicates the nature of the actions (actions of consciousness required to achieve a correct identification) and their goal (knowledge) — while omitting the length, complexity or specific steps of the process of logical inference, as well as the nature of the particular cognitive problem involved in any given instance of using logic.
“It’s logical, but logic has nothing to do with reality.” Logic is the art or skill of non-contradictory identification. Logic has a single law, the Law of Identity, and its various corollaries. If logic has nothing to do with reality, it means that the Law of Identity is inapplicable to reality. If so, then: a. things are not what they are; b. things can be and not be at the same time, in the same respect, i.e., reality is made up of contradictions. If so, by what means did anyone discover it? By illogical means. (This last is for sure.) The purpose of that notion is crudely obvious. Its actual meaning is not: “Logic has nothing to do with reality,” but: “I, the speaker, have nothing to do with logic (or with reality).” When people use that catch phrase, they mean either: “It’s logical, but I don’t choose to be logical” or: “It’s logical, but people are not logical, they don’t think — and I intend to pander to their irrationality.”
Logic is man’s method of reaching conclusions objectively by deriving them without contradiction from the facts of reality — ultimately, from the evidence provided by man’s senses. If men reject logic, then the tie between their mental processes and reality is severed; all cognitive standards are repudiated, and anything goes; any contradiction, on any subject, may be endorsed (and simultaneously rejected) by anyone, as and when he feels like it.
Any theory that propounds an opposition between the logical and the empirical, represents a failure to grasp the nature of logic and its role in human cognition. Man’s knowledge is not acquired by logic apart from experience or by experience apart from logic, but by the application of logic to experience. All truths are the product of a logical identification of the facts of experience.
Man is born tabula rasa; all his knowledge is based on and derived from the evidence of his senses. To reach the distinctively human level of cognition, man must conceptualize his perceptual data — and conceptualization is a process which is neither automatic nor infallible. Man needs to discover a method to guide this process, if it is to yield conclusions which correspond to the facts of reality — i.e., which represent knowledge. The principle at the base of the proper method is the fundamental principle of metaphysics: the Law of Identity. In reality, contradictions cannot exist; in a cognitive process, a contradiction is the proof of an error. Hence the method man must follow: to identify the facts he observes, in a non-contradictory manner. This method is logic — “the art of non-contradictory identification.” (Atlas Shrugged.) Logic must be employed at every step of a man’s conceptual development, from the formation of his first concepts to the discovery of the most complex scientific laws and theories. Only when a conclusion is based on a non-contradictory identification and integration of all the evidence available at a given time, can it qualify as knowledge.
The failure to recognize that logic is man’s method of cognition, has produced a brood of artificial splits and dichotomies which represent restatements of the analytic-synthetic dichotomy from various aspects. Three in particular are prevalent today: logical truth vs. factual truth; the logically possible vs. the empirically possible; and the a priori vs. the a posteriori.
The logical-factual dichotomy opposes truths which are validated “merely” by the use of logic (the analytic ones), and truths which describe the facts of experience (the synthetic ones). Implicit in this dichotomy is the view that logic is a subjective game, a method of manipulating arbitrary symbols, not a method of acquiring knowledge.
It is the use of logic that enables man to determine what is and what is not a fact. To introduce an opposition between the “logical” and the “factual” is to create a split between consciousness and existence, between truths in accordance with man’s method of cognition and truths in accordance with the facts of reality. The result of such a dichotomy is that logic is divorced from reality (“Logical truths are empty and conventional”) — and reality becomes unknowable (“Factual truths are contingent and uncertain”). This amounts to the claim that man has no method of cognition, i.e., no way of acquiring knowledge.