Sentence examples for propositional system from inspiring English sources

In "A Functional Calculus of First Order Based on Strict Implication" (1946a) she added quantification to Lewis's propositional system S2; Carnap (1946) added it to S5.

Ruth Barcan Marcus began a line of development in (Marcus 1946) by formally extending the propositional system S2 of C. I. Lewis to include quantification, and developing it axiomatically in the style of Principia Mathematica.

It is here that Kripke fully develops the analogy with the algebraic results of Jónsson and Tarski and proves completeness and decidability for propositional systems T, S4, S5, and B (the Brouwersche system), which is here introduced.

Following John S. Mill, he argues in Logical Investigations that the best way to study the nature of such propositional systems is to start with their linguistic manifestations, i.e., (sets of) sentences and (assertive) utterances thereof.

Using the method of tableaux, completeness for the modal propositional systems T, S4, S5, and B vis-à-vis the appropriate class of models (reflexive structures for T) is proved.

These propositional systems eventually begin to fail to discern between their own religion and their cultural system.

Propositional expert systems classify cases, and can be built in several different forms, including production rules, decision tables and decision trees.

But it agrees better with his general outlook because it is still based on classical propositional logic, a system to which Mally did not object (not that he had much choice in the 1920s).

It is, of course, controversial to claim that monkeys have rule-governed propositional social knowledge systems as claimed in (iv) and (v).

As a formal system the propositional calculus is concerned with determining which formulas (compound proposition forms) are provable from the axioms.

These systems require revision of the standard systems of propositional logic.