Book Review: Grzegorz Malinowski Many-Valued Logics

Grzegorz Malinowski IDENTITY , MANY - VALUEDNESS AND REFERENTIALITY

In the paper∗ we discuss a distinctive versatility of the nonFregean approach to the sentential identity. We present many-valued and referential counterparts of the systems of SCI, the sentential calculus with identity, including Suszko’s logical valuation programme as applied to manyvalued logics. The similarity of different constructions: many-valued, referential and mixed, leads us to the co...

Grzegorz Malinowski PSEUDO - REFERENTIAL MATRIX SEMANTICS FOR PROPOSITIONAL LOGICS

Many-Valued Logics

The paper considers the fundamental notions of manyvalued logic together with some of the main trends of the recent development of infinite valued systems, often called mathematical fuzzy logics. Besides this logical approach also a more algebraic approach is discussed. And the paper ends with some hints toward applications which are based upon actual theoretical considerations about infinite v...

Many-valued modal logics

Two families of many-valued modal logics are investigated. Semantically, one family is characterized using Kripke models that allow formulas to take values in a finite many-valued logic, at each possible world. The second family generalizes this to allow the accessibility relation between worlds also to be many-valued. Gentzen sequent calculi are given for both versions, and soundness and compl...

Many - Valued Logics