|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.
We can "linearize" such rule systems: i.e. introduce basic rules without premises, then continue ascending.
Ideal is the complete syntactic grasping of evidence.
Constructive Philosophy Cambridge 1987
Philosophie und Mathematik Darmstadt 1995