Sentence examples for systems of logic from inspiring English sources

This suggests a stronger requirement on a formal system of logic namely, that p be derivable from X by the system whenever X logically entails p. The usual systems of logic satisfy this requirement because, besides the completeness theorem, there is also a compactness theorem: A theory X has a model if every finite subset of X has a model.

Both systems of logic will be motivated by the attempt to explicate the informal notion of a valid argument.

This distinction is important, because systems of logic turn out to have certain properties quite independently of any interpretations that may be placed upon them.

Plural images brought multiple images together on the same page, often in order to visualize systems of logic, metaphysics, natural philosophy, or moral philosophy.

Abstract systems of logic have been constructed that employ three truth-values (e.g., true, false, and indeterminate) or even many, as in fuzzy logic, in which propositions have values between 0 and 1.

Temporal Logic encompasses those systems of logic designed to facilitate the analysis of propositions for which time plays an essential part in their meaning.

He continued, "When one engages with the language, it has its own system of logic".

The rule of modus ponens is incorporated into virtually every formal system of logic.

His major work, unfinished, was to have been entitled A System of Logic, Considered as Semiotic.

He believed he had shown that mathematics has a robust reality that transcends any system of logic.

Lacking this restraint, Leibnitz went on to create a system of logic based on 0s and 1s.