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We are caught up in a paradox, one which might be called the paradox of conceptualization. The proper concepts are needed to formulate a good theory, but we need a good theory to arrive at the proper concepts.
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p.53

 

Abraham Kaplan

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All significant concepts of the modern theory of the state are secularized theological concepts not only because of their historical development—in which they were transferred from theology to the theory of the state, whereby, for example, the omnipotent God became the omnipotent lawgiver—but also because of their systematic structure, the recognition of which is necessary for a sociological consideration of these concepts. The exception in jurisprudence is analogous to the miracle in theology.

 

Carl Schmitt

 

The concept of 'measurement' becomes so fuzzy on reflection that it is quite surprising to have it appearing in physical theory at the most fundamental level... does not any analysis of measurement require concepts more fundamental than measurement? And should not the fundamental theory be about these more fundamental concepts?

 

John Stewart Bell

 

Now - how can we possibly examine something we use all the time and presuppose in every statement? How can we criticize the terms in which we habitually express our observations? Let us see! The first step in our criticism of commonly-used concepts is to create a measure of criticism, something with which these concepts can be compared. Of course, we shall later want to know a little more about the measuring stick itself; for example, we shall want to know whether it is better than, or perhaps not as good as, the material examined. But in order for this examination to start there must be a measuring-stick in the first place. Therefore, the first step in our criticism of customary concepts and customary reactions is to step outside the circle and either to invent a new conceptual system, for example a new theory, that clashes with the most carefully established observational results and confounds with the most plausible theoretical principles, or to import such a system from outside science, from religion, from mythology , from the ideas of incompetents, or the ramblings of madmen. This step is, again, counter-inductive, Counter-induction is thus both a fact' - science could not exist without it - and a legitimate and much needed move in the game of science.

 

Paul Karl Feyerabend

 

Irony is a form of paradox. Paradox is what is good and great at the same time.

 

Friedrich Schlegel

 

There is nothing so new in Christianity that it may not appear to have been in the world before, and yet everything is new. Now, if someone uses the name of Christianity and Christ’s name, but the categories are anything but Christian, is this, then Christianity? The mark of Christianity is the paradox, the absolute paradox. As soon as a so called speculative cancels the paradox and makes this qualification into an element, all the spheres are confused.

 

Soren Aabye Kierkegaard