Commentary on the Protological Axioms and Rules

Abstract

Protologic is defined by a list of axiom schemata and rules of inference. Since these are taken as primitive constituents of constructive reasoning there is no question of proving their correctness formally; however, it is still useful to motivate them informally by showing how they serve to pin down the meaning of a sequent and the constants of the Term Language, by relating them to the underlying philosophical principles, and by showing that when translated into conventional mathematical statements they are provable by conventional mathematical arguments.