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INTERPOLATION BY TRANSLATION

D.M. Gabbay and L. Maksimova

in Interpolation and Definability: Modal and Intuitionistic Logics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198511748
eISBN:
9780191705779
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198511748.003.0014
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter proposes some uniform algorithmic methodology for finding interpolants in various logic. It operates with translations of non-classical logics into classical first-order theories and ... More


Introduction

Richard Dietz and Sebastiano Moruzzi

in Cuts and Clouds: Vagueness, its Nature, & its Logic

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199570386
eISBN:
9780191722134
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570386.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This introductory chapter begins with a brief exposition of two types of puzzling issues that the philosophical discussion centres on and that also play a pivotal role in this collection: (i) the ... More


Cuts and Clouds: Vagueness, its Nature, & its Logic

Richard Dietz and Sebastiano Moruzzi (eds)

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199570386
eISBN:
9780191722134
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570386.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

Vagueness is a familiar but deeply puzzling aspect of the relation between language and the world. It is highly controversial what the nature of vagueness is; a feature of the way we represent ... More


Non-Classical and Nihilistic Approaches

Andrew Bacon

in Vagueness and Thought

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198712060
eISBN:
9780191780264
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198712060.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

Given that a single cent seemingly cannot make the difference between being rich and not rich, the sorites paradox purports to show that either everyone is rich or no one is. In this chapter, the ... More


Truth Through Proof: A Formalist Foundation for Mathematics

Alan Weir

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199541492
eISBN:
9780191594915
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199541492.001.0001
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

This book defends an anti-platonist philosophy of mathematics derived from game formalism. Classic formalists claimed implausibly that mathematical utterances are truth-valueless moves in a game. ... More


Impossible Worlds

Francesco Berto and Mark Jago

Published in print:
2019
Published Online:
August 2019
ISBN:
9780198812791
eISBN:
9780191850585
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198812791.001.0001
Subject:
Philosophy, Metaphysics/Epistemology

The latter half of the twentieth century witnessed an ‘intensional revolution’, a great collective effort to analyse notions which are absolutely fundamental to our understanding of the world and of ... More


Diagrams of Difference: Adjunctions and Topoi

Rocco Gangle

in Diagrammatic Immanence: Category Theory and Philosophy

Published in print:
2015
Published Online:
September 2016
ISBN:
9781474404174
eISBN:
9781474418645
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474404174.003.0007
Subject:
Philosophy, Metaphysics/Epistemology

This chapter examines two advanced constructions in category theory: adjoint functors and topoi. Pairs of adjoint functors, or adjunctions, are formally defined and then illustrated with several ... More


Gradability in Natural Language: Logical and Grammatical Foundations

Heather Burnett

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198724797
eISBN:
9780191792298
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198724797.001.0001
Subject:
Linguistics, Semantics and Pragmatics, Syntax and Morphology

This monograph presents a new theory of the relationship between vagueness, context sensitivity, gradability, and scale structure in natural language. The book argues that particular subclasses of ... More


Vagueness: A Global Approach

Kit Fine

Published in print:
2020
Published Online:
May 2020
ISBN:
9780197514955
eISBN:
9780197514986
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780197514955.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The book is about the problem of vagueness. It begins by discussing some of the existing views on vagueness and then explains why they have not been thought to be satisfactory. It then outlines a new ... More


Dealing with Liars

Mark Jago

in What Truth Is

Published in print:
2018
Published Online:
June 2018
ISBN:
9780198823810
eISBN:
9780191862595
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198823810.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

In this final chapter, I want to investigate what the theory of truth developed so far tells us about the Liar paradox (and other paradoxes involving truth). I’ll begin by reviewing the paradox ... More


The Delineation Tolerant, Classical, Strict framework

Heather Burnett

in Gradability in Natural Language: Logical and Grammatical Foundations

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198724797
eISBN:
9780191792298
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198724797.003.0004
Subject:
Linguistics, Semantics and Pragmatics, Syntax and Morphology

This chapter presents the Del-TCS non-classical logical system for modelling the relationship between context sensitivity, vagueness, and gradability in the adjectival domain. An analysis of the ... More


The Possibility of Vagueness

Kit Fine

in Vagueness: A Global Approach

Published in print:
2020
Published Online:
May 2020
ISBN:
9780197514955
eISBN:
9780197514986
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780197514955.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics

We previously stated an impossibility result and suggested that the standard approaches to vagueness were incapable of providing a satisfactory response to the result. This chapter considers how a ... More


Assertion, Denial, Accepting, Rejecting, Symmetry, and Paradox

Greg Restall

in Foundations of Logical Consequence

Published in print:
2015
Published Online:
June 2015
ISBN:
9780198715696
eISBN:
9780191783388
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198715696.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

Proponents of "truth-value glut" responses to the paradoxes of self-reference argue that "truth-value gap" analyses of the paradoxes fall foul of the strengthened liar paradox: "this sentence is not ... More


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