In Propositional Calculus, each atomic symbol (P, Q, etc.) denotes a proposition of some complexity. In Propositional Calculus, we cannot access the components of an individual assertion, limiting our ...
Propositional logic includes sentence letters (A, B, C, etc), which are assigned truth values, and logical connectives (AND, OR, NOT, IMPLICATION, EQUIVALENCE), but not quantifiers. This is also ...
This is a first version of a lecture on propositional and predicate logic. The lecture notes are incomplete as of yet, but the goal is to add notes for one lecture every week. As the book is a work in ...
Abstract: We study predicate logic that is interpreted in Kripke models similarly to intuitionistic logic except that the accessibility relation of each model is not necessarily reflexive. Unlike in ...
Historically, it was initially a formalization of mathematical language and reasoning, proposed by G. Frege between the end of the 19th and the beginning of the 20th century, and "popularized" by B.
This article, the second in a series of three, deals with the classical logics which will give rise to mathematical logic at the end of the 19th century. The logic of propositions is first presented, ...
Abstract: The paper introduces a predicate version of two-layered fuzzy probability logic, extending the known propositional probability logic based on the infinite-valued logic of Lukasiewicz. The ...
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