Sentence examples for quantified logic from inspiring English sources

Although some such methods undoubtedly belong to everyone's normal unarticulated conceptual repertoire, it is not clear that they are defined or even definable widely enough to enable philosophers to make satisfactory sense of a quantified logic of logical necessity and logical possibility.

Peirce, a founder of modern quantified logic, also invented a graphical system, called Existential Graphs, which is logically equivalent to predicate logic.

Quantified logic centers on the roles of words of quantification, like "all," "every" and "some," in logical statements.

The field was born of the marriage of two existing systems, classical quantified logic and modal logic -- a marriage she helped bring about.

Working independently in the mid-1940s, both Professor Marcus and Professor Carnap, who taught at the University of Chicago, devised such frameworks by combining classical quantified logic and modal logic.

It was also shown that \(\mathsf{S4}\) embeds into the quantified logic by translating \ \Box Z\) as "there exists a justification \(x\) such that \(x : Z^\)," where \(Z^\) is the translation of \(Z\).

When we move past Quine's criticisms and combine pure quantificational logic with propositional modal logic, we obtain quantified modal logic.

We would expect that the lessons of quantified modal logic carry over to quantified propositional modal logic.

For a more detailed treatment of quantified modal logic, consult the SEP entry on Modal Logic.

For a more extensive treatment of quantified modal logic, consult the SEP entry on Modal Logic.

These apprehensions do not arise in the case of modal logic, which may be defined, in the narrow sense, as the study of logical necessity and possibility; for even quantified modal logic admits of a complete axiomatization.