An important antinomy.

National Research and International Competitiveness â•fi An Antinomy?

Research results should be shared internationally and have to face international competition. This requires their publication in the lingua franca of business and science, the English language. This especially applies to the so-called top-level research. The individual scientific disciplines have arrived at different stages in the transformation process of internationalization. Many of the find...

AOP and the Antinomy of the Liar

Unless explicitly prevented, aspects can apply to themselves and can therefore change their own behaviour. This self-adaptation can lead to syntactically correct programs that express antinomies, i.e., that are meaningless (have no intuitive semantics). Drawing the parallel to mathematical logic, we suggest adopting the classical solution presented by Russell and Tarski, i.e., the separation of...

Antinomy: the use, rights and regulation of laboratory animals.

How to Release Frege’s System from Russell’s Antinomy

The conditions for proper definitions in mathematics are given, in terms of the theory of definition, on the basis of the criterions of eliminability and non-creativity. As a definition, Russell’s antinomy is a violation of the criterion of eliminability (Behmann, 1931, [1]; Bochvar, 1943, [2]). Following the path of the criterion of non-creativity, this paper develops a new analysis of Compreh...

On the So-called Antinomy of the Variable

But for some founders of the new logic, the dissociation that Quine mentions simply forced new problems to surface. Bertrand Russell, for example, in his early account of the subject, explicitly rejects the existence of variable objects yet courts the following quandary: “x is, in some sense, the object denoted by any term; yet this can hardly be strictly maintained, for different variables may...