Philosophy Dictionary of ArgumentsHome | |||
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Derivability: this is about the question which statements can be obtained according to the rules of a calculus. In logic, derivability refers to the ability to prove a statement from a set of premises using the rules of inference of a given logical system. A statement is said to be derivable if there is a proof of it in the system._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
Author | Concept | Summary/Quotes | Sources |
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P. Lorenzen on Derivability - Dictionary of Arguments
Berka I 269 Derivability/Lorenzen: derivability is equivalent to the existence of a profit strategy. In the semantic tableau with the seclusion. Heyting's formalization is dialogically complete. I.e. every statement which is valid in the dialogical sense is derivable and vice versa.(1) >Validity, >Semantic Tableau. 1. P. Lorenzen, Ein dialogisches Konstruktivitätskriterium, in: Infinitistic Methods, (1961), 193-200_____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Lorn I P. Lorenzen Constructive Philosophy Cambridge 1987 Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |