Sentence examples for theory of logical from inspiring English sources

The class of protoalgebraic logics turned out to be the class of logics for which the theory of logical matrices works really well in the sense that many results of universal algebra have counterparts for the classes of reduced matrix models of these logics; consequently the algebraic study of protoalgebraic logics using their matrix semantics has been very fruitful.

In his Structuralist Theory of Logic (1992) he develops a theory of logical constants, in which he characterizes them by certain "implication relations", where an implication relation roughly corresponds to a finite consequence relation in Tarski's sense (which again can be described by certain structural rules of a sequent-style system).

What is the appropriate theory of logical probability?

For Popper's theory of logical constants see Schroeder-Heister (2005).

Those familiar with Carnap's theory of logical probability will recognize the difficulty.

In the rest of this section we present the relevant concepts of the theory of logical matrices using modern terminology.

Our rationale for doing as much is that one will get the technical details, and the particular philosophical issues that motivated them, from looking at specific logics—specific theories of logical consequence (e.g., relevant logics, substructural logics, non-monotonic logics, dynamic logics, modal logics, theories of quantification, and so on).

But what I'm teaching are topics such as 5th-century Indian theories of logical inference, or the concept of qualitative atomism in classical Buddhism: material that is sufficiently obscure that no student, of any background, should be expected at the outset to recognize him or herself in it.

The Tractarian conceptions of genuine (contingent) propositions and the (original and) core concept of truth are used to construct theories of logical and mathematical 'propositions' by contrast.

Thibaut's main publications are Theorie der logischen Auslegung des römischen Rechts (1799; "Theory of the Logical Interpretation of Roman Law") and System des Pandektenrechts (1803; the general part translated as An Introduction to the Study of Jurisprudence, 1879), which long remained one of the leading textbooks of Roman law applied as the common law of Germany.

His main achievements were his theory of the logical interrelation of affirmative and negative existential and universal statements and, based on this theory, his syllogistic, which can be interpreted as a system of deductive inference.