This function concerns only logical conceptions, but not what have been called psychological conceptions. The conception is always represented psychologically by a generalisation; and this presentation in a certain fashion is included in the conception. The generalisation represents the conception psychologically, but is not identical with it. It can, so to speak, be richer (as when I think of a triangle) or it can be poorer (the conception of a lion contains more than my generalisation of lions). The logical conception is the plumb-line which the attention tries to follow; it is the goal and pole-star of the psychological generalisation.
Pure logical thought cannot occur in the case of men; it would be an attribute of deity. A human being must always think partly psychologically because he possesses not only reason but also senses, and his thought cannot free itself from temporal experiences but must remain bound by them. Logic, however, is the supreme standard by which the individual can test his own psychological ideas and those of others. When two men are discussing anything it is the conception and not the varying individual presentations of it that they aim at. The conception, then, is the standard of value for the individual presentations. The mode in which the psychological generalisation comes into existence is quite independent of the conception and has no significance in respect to it. The logical character which invests the conception with dignity and power is not derived from experience, for experience can give only vague and wavering generalisations. Absolute constancy and absolute coherence which cannot come from experience are the essence of the conception of that power concealed in the depths of the human mind whose handiwork we try hard but in vain to see in nature. Conceptions are the only true realities, and the conception is not in nature; it is the rule of the essence not of the actual existence.
When I enunciate the proposition A = A, the meaning of the proposition is not that a special individual A of experience or of thought is like itself. The judgment of identity does not depend on the existence of an A. It means only that if an A exists, or even if it does not exist, then A = A. Something is posited, the existence of A = A whether or no A itself exists. It cannot be the result of experience, as Mill supposed, for it is independent of the existence of A. But an existence has been posited; it is not the existence of the object; it must be the existence of the subject. The reality of the existence is not in the first A or the second A, but in the simultaneous identity of the two. And so the proposition A = A is no other than the proposition “I am.”
From the psychological point of view, the real meaning of the proposition of identity is not so difficult to interpret. It is clear that to be able to say A = A, to establish the permanence of the conception through the changes of experience, there must be something unchangeable, and this can be only the subject. Were I part of the stream of change I could not verify that the A had remained unchanged, had remained itself. Were I part of the change, I could not recognise the change. Fichte was right when he stated that the existence of the ego was to be found concealed in pure logic, inasmuch as the ego is the condition of intelligible existence.
The logical axioms are the principle of all truth. These posit an existence towards which all cognition serves. Logic is a law which must be obeyed, and man realises himself only in so far as he is logical. He finds himself in cognition.
All error must be felt to be crime. And so man must not err. He must find the truth, and so he can find it. The duty of cognition involves the possibility of cognition, the freedom of thought, and the hope of ascertaining truth. In the fact that logic is the condition of the mind lies the proof that thought is free and can reach its goal.
I can treat ethics briefly and in another fashion, inasmuch as what I have to say is founded on Kant’s moral philosophy. The deepest, the intelligible, part of the nature of man is that part which does not take refuge in causality, but which chooses in freedom the good or the bad. This is manifest in consciousness of sin and in repentance. No one has attempted to explain these facts otherwise; and no one allows himself to be persuaded that he must commit this or that act. In the shall there lies the possibility of the can. The causal determining factors, the lower motives that act upon him, he is fully aware of, but he remains conscious of an intelligible ego free to act in a different way from other egos.
Truth, purity, faithfulness, uprightness, with reference to oneself; these give the only conceivable ethics. Duty is only duty to oneself, duty of the empirical ego to the intelligible ego. These appear in the form of two imperatives that will always put to shame every kind of psychologismus—the logical law and the moral law. The internal direction, the categorical imperatives of logic and morality which dominate all the codes of social utilitarianism are factors that no empiricism can explain. All empiricism and scepticism, positivism and relativism, instinctively feel that their principal difficulties lie in logic and ethics. And so perpetually renewed and fruitless efforts are made to explain this inward discipline empirically and psychologically.
Logic and ethics are fundamentally the same, they are no more than duty to oneself. They celebrate their union by the highest service of truth, which is overshadowed in the one case by error, in the other by untruth. All ethics are possible only by the laws of logic, and logic is no more than the ethical side of law. Not only virtue, but also insight, not only sanctity but also wisdom, are the duties and tasks of mankind. Through the union of these alone comes perfection.
Ethics, however, the laws of which are postulates, cannot be made the basis of a logical proof of existence. Ethics are not logical in the same sense that logic is ethical. Logic proves the absolute actual existence of the ego; ethics control the form which the actuality assumes. Ethics dominate logic and make logic part of their contents.