|Syntax: Syntax is a collective term for systems that regulate the composition of signs into linear combinations (strings), as opposed to the semantics interpreting these strings. Syntax questions concern the permissibility, in short, the existence of combinations, not the resulting being true or false of the interpreted formulas. See also proof theory, existence, morphology, semantics, pragmatics, linguistics._____________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. |
|Berka I 386
Syntax/Logic/Berka: also the formalistic view of mathematics, founded by Hilbert, has increasingly observed semantic questions. This can be seen in the later editions of the "Grundzüge der theoretischen Logik" (Hilbert Ackermann).
Syntax/Berka: Authorization: 1. The creation of a formal language is already a necessary and above all an independent task.
2. Metal logic: meta logic can be established and formulated syntactically easier than semantically.
Semantics/Logic/Berka: Semantics is not philosophically neutral. It is about Platonism/Nominalism.
Platonism: Scholz (1941)(1), Church (1951)(2), Bernays (1935)(3).
1. H. Scholz, Metaphysik als strenge Wissenschaft, Köln 1841, Neudruck Darmstadt 1965
2. A. Church, A formulation of the logic of sense and denotation, in: Henle, P. (1951) 3-24
3. P. Bernays, Sur le platonisme dans les mathématiques, L'Enseignement math. 34, 52-69_____________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. 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.
Logik Texte Berlin 1983