@misc{Lexicon of Arguments, title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 28 Mar 2024}, author = {Lorenzen,Paul}, subject = {Basic Concepts}, note = {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. >Logic, >Dialogical logic, >Rules, >Rule systems, cf. >Axioms, >Junctions, >Connectives.}, note = { Lorn I P. Lorenzen Constructive Philosophy Cambridge 1987 T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 }, file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=796739} url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=796739} }