Philosophy Lexicon of Arguments

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.
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Thiel I 216
A "fully formalized" calculus for the arithmetic of Lorenzen 1962 consists of 75 rules, including those with 7 premises.
I 217
We can "linearize" such rule systems: i.e. introduce basic rules without premises, then continue ascending.
I 219
Ideal is the complete syntactic grasping of evidence.

Lorn I
P. Lorenzen
Constructive Philosophy Cambridge 1987

Chr. Thiel
Philosophie und Mathematik Darmstadt 1995

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Ed. Martin Schulz, access date 2017-05-29