|Systems, philosophy of science: systems are compilations of rules for the formation of statements on a previously defined subject domain. Apart from the - usually recursive - rules for the combination of expressions or signs, the specification of the vocabulary or sign set of the system is also required. See also axioms, axiom systems, theories, strength of theories, expressiveness, rules, order, recursion, models, structure, system theory._____________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. |
Alfred Tarski on Systems - Dictionary of Arguments
Berka I 474
Def deductive system/Tarski: X is a deductive system iff FL ((X) ‹ X ‹ AS.(1)
((s) X: statement class, which contains all sequences (FL), and all statements from X are meaningful, i. e. ε AS).
1. A.Tarski, Der Wahrheitsbegriff in den formalisierten Sprachen, Commentarii Societatis philosophicae Polonorum. Vol. 1, Lemberg 1935_____________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 [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983
Logik Texte Berlin 1983