Kit Fine on Truthmakers, Relevance, and Non-classical Logic

Kit Fine on Truthmakers, Relevance, and Non-classical Logic PDF Author: Federico L. G. Faroldi
Publisher: Springer Nature
ISBN: 3031294157
Category : Philosophy
Languages : en
Pages : 796

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Book Description
This book explores some of Kit Fine's outstanding contributions to logic, philosophy of language, philosophy of mathematics, and metaphysics, among others. Contributing authors address in-depth issues about truthmaker semantics, counterfactual conditionals, grounding, vagueness, non-classical consequence relations, and arbitrary objects, offering critical reflections and novel research contributions. Each chapter is accompanied by an extensive commentary, in which Kit Fine offers detailed responses to the ideas and themes raised by the contributors. The book includes a brief autobiography and exhaustive list of his publications to this date. This book is of interest to logicians of all stripes and to analytic philosophers more generally.

Kit Fine on Truthmakers, Relevance, and Non-classical Logic

Kit Fine on Truthmakers, Relevance, and Non-classical Logic PDF Author: Federico L. G. Faroldi
Publisher: Springer Nature
ISBN: 3031294157
Category : Philosophy
Languages : en
Pages : 796

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Book Description
This book explores some of Kit Fine's outstanding contributions to logic, philosophy of language, philosophy of mathematics, and metaphysics, among others. Contributing authors address in-depth issues about truthmaker semantics, counterfactual conditionals, grounding, vagueness, non-classical consequence relations, and arbitrary objects, offering critical reflections and novel research contributions. Each chapter is accompanied by an extensive commentary, in which Kit Fine offers detailed responses to the ideas and themes raised by the contributors. The book includes a brief autobiography and exhaustive list of his publications to this date. This book is of interest to logicians of all stripes and to analytic philosophers more generally.

Kit Fine on Truthmakers, Relevance, and Non-classical Logic

Kit Fine on Truthmakers, Relevance, and Non-classical Logic PDF Author: Federico L. G. Faroldi
Publisher:
ISBN: 9783031294174
Category :
Languages : en
Pages : 0

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Book Description
This book explores some of Kit Fine's outstanding contributions to logic, philosophy of language, philosophy of mathematics, and metaphysics, among others.Contributing authors address in-depth issues about truthmaker semantics, counterfactual conditionals, grounding, vagueness, non-classical consequence relations, and arbitrary objects, offering critical reflections and novel research contributions.Each chapter is accompanied by an extensive commentary, in which Kit Fine offers detailed responses to the ideas and themes raised by the contributors. The book includes a brief autobiography and exhaustive list of his publications to this date. This book is of interest to logicians of all stripes and to analytic philosophers more generally.

Propositional Quantifiers

Propositional Quantifiers PDF Author: Peter Fritz
Publisher: Cambridge University Press
ISBN: 1009188631
Category : Philosophy
Languages : en
Pages : 137

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Book Description
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.

Aboutness

Aboutness PDF Author: Stephen Yablo
Publisher: Princeton University Press
ISBN: 0691173656
Category : Philosophy
Languages : en
Pages : 237

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Book Description
Aboutness has been studied from any number of angles. Brentano made it the defining feature of the mental. Phenomenologists try to pin down the aboutness-features of particular mental states. Materialists sometimes claim to have grounded aboutness in natural regularities. Attempts have even been made, in library science and information theory, to operationalize the notion. But it has played no real role in philosophical semantics. This is surprising; sentences have aboutness-properties if anything does. Aboutness is the first book to examine through a philosophical lens the role of subject matter in meaning. A long-standing tradition sees meaning as truth-conditions, to be specified by listing the scenarios in which a sentence is true. Nothing is said about the principle of selection--about what in a scenario gets it onto the list. Subject matter is the missing link here. A sentence is true because of how matters stand where its subject matter is concerned. Stephen Yablo maintains that this is not just a feature of subject matter, but its essence. One indicates what a sentence is about by mapping out logical space according to its changing ways of being true or false. The notion of content that results--directed content--is brought to bear on a range of philosophical topics, including ontology, verisimilitude, knowledge, loose talk, assertive content, and philosophical methodology. Written by one of today's leading philosophers, Aboutness represents a major advance in semantics and the philosophy of language.

The Metaphysics and Mathematics of Arbitrary Objects

The Metaphysics and Mathematics of Arbitrary Objects PDF Author: Leon Horsten
Publisher: Cambridge University Press
ISBN: 110703941X
Category : History
Languages : en
Pages : 251

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Book Description
Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.

Formal Theories of Truth

Formal Theories of Truth PDF Author: Jc Beall
Publisher: Oxford University Press
ISBN: 0192547658
Category : Philosophy
Languages : en
Pages : 160

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Book Description
Truth is one of the oldest and most central topics in philosophy. Formal theories explore the connections between truth and logic, and they address truth-theoretic paradoxes such as the Liar. Three leading philosopher-logicians now present a concise overview of the main issues and ideas in formal theories of truth. Beall, Glanzberg, and Ripley explain key logical techniques on which such formal theories rely, providing the formal and logical background needed to develop formal theories of truth. They examine the most important truth-theoretic paradoxes, including the Liar paradoxes. They explore approaches that keep principles of truth simple while relying on nonclassical logic; approaches that preserve classical logic but do so by complicating the principles of truth; and approaches based on substructural logics that change the shape of the target consequence relation itself. Finally, inconsistency and revision theories are reviewed, and contrasted with the approaches previously discussed. For any reader who has a basic grounding in logic, this book offers an ideal guide to formal theories of truth.

Kurt Gödel

Kurt Gödel PDF Author: Maria Hämeen-Anttila
Publisher: Springer Nature
ISBN: 3030872963
Category : Mathematics
Languages : en
Pages : 133

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Book Description
Paris of the year 1900 left two landmarks: the Tour Eiffel, and David Hilbert's celebrated list of twenty-four mathematical problems presented at a conference opening the new century. Kurt Gödel, a logical icon of that time, showed Hilbert's ideal of complete axiomatization of mathematics to be unattainable. The result, of 1931, is called Gödel's incompleteness theorem. Gödel then went on to attack Hilbert's first and second Paris problems, namely Cantor's continuum problem about the type of infinity of the real numbers, and the freedom from contradiction of the theory of real numbers. By 1963, it became clear that Hilbert's first question could not be answered by any known means, half of the credit of this seeming faux pas going to Gödel. The second is a problem still wide open. Gödel worked on it for years, with no definitive results; The best he could offer was a start with the arithmetic of the entire numbers. This book, Gödel's lectures at the famous Princeton Institute for Advanced Study in 1941, shows how far he had come with Hilbert's second problem, namely to a theory of computable functionals of finite type and a proof of the consistency of ordinary arithmetic. It offers indispensable reading for logicians, mathematicians, and computer scientists interested in foundational questions. It will form a basis for further investigations into Gödel's vast Nachlass of unpublished notes on how to extend the results of his lectures to the theory of real numbers. The book also gives insights into the conceptual and formal work that is needed for the solution of profound scientific questions, by one of the central figures of 20th century science and philosophy.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs PDF Author: Ivo Düntsch
Publisher: Springer Nature
ISBN: 3030714306
Category : Philosophy
Languages : en
Pages : 591

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Book Description
This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.

Modality and Tense

Modality and Tense PDF Author: Kit Fine
Publisher: Oxford University Press
ISBN: 0199278709
Category : Language Arts & Disciplines
Languages : en
Pages : 396

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Book Description
In this book, Kit Fine draws together a series of essays, three of them previously unpublished, on possibility, necessity, and tense.

Doubt Truth to be a Liar

Doubt Truth to be a Liar PDF Author: Graham Priest
Publisher: Clarendon Press
ISBN: 0191532479
Category : Philosophy
Languages : en
Pages : 240

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Book Description
Dialetheism is the view that some contradictions are true. This is a view which runs against orthodoxy in logic and metaphysics since Aristotle, and has implications for many of the core notions of philosophy. Doubt Truth to Be a Liar explores these implications for truth, rationality, negation, and the nature of logic, and develops further the defence of dialetheism first mounted in Priest's In Contradiction, a second edition of which is also available.