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Full Description
This book brings together contributions from philosophers interested in logic and logicians with a philosophical orientation to address a variety of logical and philosophical topics of current interest, including modal logic, intuitionistic logic, relevant logic, substructural logic, many-value logic, formal semantics, proof theory, and paradox. In particular, it provides the state of the art in three major aspects of current research in philosophical logic: negation, modality, and proof. New frameworks are proposed, e.g., meta sequent, unified inductive logic, generalized Clemens semantics, etc. The variety of topics and issues discussed in this volume is of interest to readers from a wide range of disciplines, such as logic, semantics, and computer science, philosophy, linguistics, artificial intelligence, and beyond.
Contents
There are (other) ways to negate in propositional team semantics.- A note on negation in the operational semantics for relevant logic.- Ignorance and the possibility of error in relevant epistemic logic.- Mereological Forcing.- Arbitrary objects in a bilateral setting.- Measurement-Theoretic Foundations of Logic of Epistemic Modals.- Perspective Shifts: Formalizing Epistemic Might in Multi-agent Models.- This Time As Grandfather.- Complete and Terminating Tableau Calculus for Undirected Graph.- Strict Truth, Tolerant Truth, and Generalized Strict-Tolerant Logics.- Variations of Axioms K and S in Substructural Logics.- Leśniewski's Ontology Satisfies Interpolation.- Proof construction style representation of cut-elimination.- Invitation to Constructive Nonreflexive and Nontransitive Logics.- A Proof-Theoretic Approach to the Binding Problem.- Conservative Imaging and AGM Postulates.- Unified Inductive Logic: From Formal Learning to Statistical Inference to Supervised Learning.- Composition and Plural Identity.