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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.
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p. 158

 

Otto Weininger

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A principle of induction would be a statement with the help of which we could put inductive inferences into a logically acceptable form. In the eyes of the upholders of inductive logic, a principle of induction is of supreme importance for scientific method: "... this principle", says Reichenbach, "determines the truth of scientific theories. To eliminate it from science would mean nothing less than to deprive science of the power to decide the truth or falsity of its theories. Without it, clearly, science would no longer have the right to distinguish its theories from the fanciful and arbitrary creations of the poet's mind."
Now this principle of induction cannot be a purely logical truth like a tautology or an analytic statement. Indeed, if there were such a thing as a purely logical principle of induction, there would be no problem of induction; for in this case, all inductive inferences would have to be regarded as purely logical or tautological transformations, just like inferences in inductive logic. Thus the principle of induction must be a synthetic statement; that is, a statement whose negation is not self-contradictory but logically possible. So the question arises why such a principle should be accepted at all, and how we can justify its acceptance on rational grounds.

 

Karl Popper

 

The error of the one doubting and the one despairing does not lie in cognition, since cognition cannot decide with certainty anything about the next moment, but the error lies in the will, which suddenly no longer wills but on the contrary wants to make the indeterminate into a passionate decision.

 

Soren Aabye Kierkegaard

 

Morality must be the heart of our existence, if it is to be what it wants to be for us. ... The highest form of philosophy is ethics. Thus all philosophy begins with “I am.” The highest statement of cognition must be an expression of that fact which is the means and ground for all cognition, namely, the goal of the I.

 

Novalis

 

We are not talking about a new cognition in relation to abstract art, rather a new area of cognition…. This is where abstract art steps in, in a stronger sense of life, a stronger contact with the growing life, a feeling of the pulsation of life and growth in oneself, an activation of deep-seated powers a staple vitality far deeper than our cognition, not instead of science but inspired by it.

 

Asger Jorn

 

Hegel was the great system-maker. What others viewed as his grand achievement Kierkegaard viewed as his unforgivable crime, the attempt to rationally systematize the whole of existence. The whole of existence cannot be systematized, Kierkegaard insisted, because existence is not yet whole; it is incomplete and in a state of constant development. Hegel attempted to introduce mobility into logic, which, said Kierkegaard, is itself an error in logic. The greatest of Hegel’s errors, however, was his claim that he had established the objective theory of knowledge. Kierkegaard countered with the argument that subjectivity is truth. As he put it, “The objective uncertainty maintained in the most passionate spirit of dedication is truth, the highest truth for one existing.” ... Kierkegaard, it remains to be said, is not a systematic theologian. We know what he thought of systems and system makers, of which Hegel was the prime example. There is hardly a page in his writings that does not prompt from the systematically minded reader a protest against disconnections and apparent contradictions. Like Flannery O'Connor, he shouted to the hard of hearing and drew startling pictures for the almost blind.

 

Soren Aabye Kierkegaard