|Calculus: a calculus is a system of symbols for objects (which are not further specified) as well as rules for the formation of expressions by the composition of these symbols. There are other rules for transforming composite expressions into other expressions. As long as no specified objects are accepted for the individual symbols, the calculus is not interpreted, otherwise interpreted._____________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. |
|Thiel I 216
A "fully formalized" calculus for the arithmetic of Lorenzen 1962 consists of 75 rules, including those with 7 premises.
We can "linearize" such rule systems: i.e. introduce basic rules without premises, then continue ascending.
Ideal is the complete syntactic grasping of evidence._____________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.
Constructive Philosophy Cambridge 1987
Philosophie und Mathematik Darmstadt 1995