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Propositional Quantifiers

Propositional Quantifiers
Author: Peter Fritz
Publisher: Cambridge University Press
Total Pages: 137
Release: 2024-05-16
Genre: Philosophy
ISBN: 1009188631

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Propositional quantifiers are quantifiers binding proposition letters, understood as variables. This Element introduces propositional quantifiers and explains why they are especially interesting in the context of propositional modal logics. It surveys the main results on propositionally quantified modal logics which have been obtained in the literature, presents a number of open questions, and provides examples of applications of such logics to philosophical problems.


Quantifiers, Propositions and Identity

Quantifiers, Propositions and Identity
Author: Robert Goldblatt
Publisher: Cambridge University Press
Total Pages: 283
Release: 2011-07-14
Genre: Mathematics
ISBN: 1107010527

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Develops new semantical characterisations of many logical systems with quantification that are incomplete under the traditional Kripkean possible worlds interpretation. This book is for mathematical or philosophical logicians, computer scientists and linguists, including academic researchers, teachers and advanced students.


What Truth is

What Truth is
Author: Mark Jago
Publisher: Oxford University Press
Total Pages: 369
Release: 2018
Genre: Philosophy
ISBN: 0198823819

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Mark Jago offers a new metaphysical account of truth. He argues that to be true is to be made true by the existence of a suitable worldly entity. Truth arises as a relation between a proposition - the content of our sayings, thoughts, beliefs, and so on - and an entity (or entities) in the world.


Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language

Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language
Author: Alessandro Torza
Publisher: Springer
Total Pages: 526
Release: 2015-07-23
Genre: Philosophy
ISBN: 3319183621

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This volume covers a wide range of topics that fall under the 'philosophy of quantifiers', a philosophy that spans across multiple areas such as logic, metaphysics, epistemology and even the history of philosophy. It discusses the import of quantifier variance in the model theory of mathematics. It advances an argument for the uniqueness of quantifier meaning in terms of Evert Beth’s notion of implicit definition and clarifies the oldest explicit formulation of quantifier variance: the one proposed by Rudolf Carnap. The volume further examines what it means that a quantifier can have multiple meanings and addresses how existential vagueness can induce vagueness in our modal notions. Finally, the book explores the role played by quantifiers with respect to various kinds of semantic paradoxes, the logicality issue, ontological commitment, and the behavior of quantifiers in intensional contexts.


A Concise Introduction to Logic

A Concise Introduction to Logic
Author: Craig DeLancey
Publisher: Open SUNY Textbooks
Total Pages:
Release: 2017-02-06
Genre:
ISBN: 9781942341437

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Modal Logic as Metaphysics

Modal Logic as Metaphysics
Author: Timothy Williamson
Publisher: Oxford University Press
Total Pages: 481
Release: 2013-03-28
Genre: Philosophy
ISBN: 019955207X

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Timothy Williamson gives an original and provocative treatment of deep metaphysical questions about existence, contingency, and change, using the latest resources of quantified modal logic. Contrary to the widespread assumption that logic and metaphysics are disjoint, he argues that modal logic provides a structural core for metaphysics.


Automated Reasoning with Analytic Tableaux and Related Methods

Automated Reasoning with Analytic Tableaux and Related Methods
Author: Roy Dyckhoff
Publisher: Springer
Total Pages: 452
Release: 2006-12-30
Genre: Computers
ISBN: 3540450084

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This book constitutes the refereed proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2000, held in St Andrews, Scotland, UK, in July 2000.The 23 revised full papers and 2 system descriptions presented were carefully reviewed and selected from 42 submissions. Also included are 3 invited lectures and 6 nonclassical system comparisons. All current issues surrounding the mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation, systems development, and applications, as well as covering a broad variety of logical calculi.


A Prosentential Theory of Truth

A Prosentential Theory of Truth
Author: Dorothy Grover
Publisher: Princeton University Press
Total Pages: 301
Release: 2014-07-14
Genre: Philosophy
ISBN: 140086268X

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In a number of influential articles published since 1972, Dorothy Grover has developed the prosentential theory of truth. Brought together and published with a new introduction, these essays are even more impressive as a group than they were as single contributions to philosophy and linguistics. Denying that truth has an explanatory role, the prosentential theory does not address traditional truth issues like belief, meaning, and justification. Instead, it focuses on the grammatical role of the truth predicate and asserts that "it is true" is a prosentence, functioning much as a pronoun does. Grover defends the theory by indicating how it can handle notorious paradoxes like the Liar, as well as by analyzing some English truth-usages. The introduction to the volume surveys traditional theories of truth, including correspondence, pragmatic, and coherence theories. It discusses the essays to come and, finally, considers the implications of the prosentential theory for other theories. Despite the fact that the prosentential theory dismisses the "nature of truth" as a red herring, Grover shows that there are important aspects of traditional truth theories that prosentential theorists have the option of endorsing. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


Logic and Scientific Methods

Logic and Scientific Methods
Author: Maria Luisa Dalla Chiara
Publisher: Springer Science & Business Media
Total Pages: 564
Release: 1996-12-31
Genre: Science
ISBN: 9780792343837

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This is the first of two volumes comprising the papers submitted for publication by the invited participants to the Tenth International Congress of Logic, Methodology and Philosophy of Science, held in Florence, August 1995. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science. The invited lectures published in the two volumes demonstrate much of what goes on in the fields of the Congress and give the state of the art of current research. The two volumes cover the traditional subdisciplines of mathematical logic and philosophical logic, as well as their interfaces with computer science, linguistics and philosophy. Philosophy of science is broadly represented, too, including general issues of natural sciences, social sciences and humanities. The papers in Volume One are concerned with logic, mathematical logic, the philosophy of logic and mathematics, and computer science.


An Introduction to Logic - Second Edition

An Introduction to Logic - Second Edition
Author: Richard T.W. Arthur
Publisher: Broadview Press
Total Pages: 460
Release: 2016-11-30
Genre: Philosophy
ISBN: 1554813328

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In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python. A previous edition of this book appeared under the title Natural Deduction. This new edition adds clarifications of the notions of explanation, validity and formal validity, a more detailed discussion of derivation strategies, and another rule of inference, Reiteration.