Philosophy Lexicon of Arguments

Basic Concept: theories differ in what terms they choose as the basic concepts, which are not further defined. A definition of these concepts within the theory would be circular and may cause > paradoxes. E.g. The theory of mind by G. Ryle is based on the concept of disposition, other theories presuppose mental objects. See also paradoxes, theories, terms, definitions, definability, systems, explanations.
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Thiel I 80
Formula language for logic: Paul Lorenzen: "prototype approach": rule system for producing linearly composed figures composed of 0 and +. "A" represents such figures as a schematic letter): Rules:

(1) > +
(2) A > A 0
(3) A > + A +.

According to this "calculus" e.g. the figure ++ 00 + can be produced: (1), 2 times (2), then (3).
I 80/81
Each figure that can be created must either have a 0 on the right or a + on the left. Test figure 0++ does not work therefore. If we introduced the additional rule:

(4) A > 0 A +

It would be producible. On the other hand, the following rule would not allow for new figures:

(5) A > + + A.

This is called "redundancy" (in meta-mathematics "admissibility")
Such rule systems can also be referred to as "operative logic".
I 83
They can serve the introduction of junctors (I 82 e.g. v) Protologics is therefore still before the logic.

Lorn I
P. Lorenzen
Constructive Philosophy Cambridge 1987

Chr. Thiel
Philosophie und Mathematik Darmstadt 1995

> Counter arguments against Lorenzen

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Ed. Martin Schulz, access date 2017-05-24