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The Illusion of Higher‐Order Vagueness

Crispin Wright

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/9780199570386.003.0031
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

It is common among philosophers who take an interest in the phenomenon of vagueness in natural language not merely to acknowledge higher-order vagueness but to take its existence as a basic datum; so ... More


If it’s clear, then it’s clear that it’s clear, or is it? Higher-order vagueness and the S4 axiom ⋆

Susanne Bobzien

in Episteme, etc.: Essays in Honour of Jonathan Barnes

Published in print:
2011
Published Online:
May 2012
ISBN:
9780199696482
eISBN:
9780191738036
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199696482.003.0010
Subject:
Philosophy, Ancient Philosophy, Logic/Philosophy of Mathematics

This paper challenges some widespread assumptions about the role of the modal axiom S4 in theories of vagueness. In the context of vagueness, S4 usually appears as the principle ‘If it’s clear ... 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


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


Demoting Higher‐Order Vagueness

Diana Raffman

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/9780199570386.003.0030
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

Higher-order vagueness is widely thought to be a feature of vague predicates that any adequate theory of vagueness must accommodate. It takes a variety of forms. Perhaps the most familiar is the ... More


How Not to Solve the Paradox of the Heap

TIMOTHY A. O. ENDICOTT

in Vagueness in Law

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198268406
eISBN:
9780191714795
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198268406.003.0005
Subject:
Law, Law of Obligations, Philosophy of Law

This chapter examines higher-order vagueness by pointing out problems that it poses for philosophers of logic who seek to solve the sorites paradox. Various proposed solutions to the sorites paradox ... More


Iterating Definiteness

Cian Dorr

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/9780199570386.003.0032
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter argues that higher-order vagueness is universal: no sentence whatsoever is definitely true, definitely definitely true, definitely definitely definitely true, and so on ad infinitum. The ... More


Interlude on Vagueness, and the Paradoxes of König and Berry

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter discusses vagueness and its possible connection to the semantic paradoxes, with particular reference to the continuum-valued semantics. Focus is put on higher order vagueness and whether ... More


Identity and the Facts of the Matter

Graeme Forbes

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/9780199570386.003.0025
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter draws out some parallels between Chisholm's Paradox and puzzles about identity through time. It focuses on the example of Old Number One, the Bentley racing car in which Wolf ‘Babe’ ... More


Probabilism, Assertion, and Higher-Order Vagueness

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/9780198712060.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

Hartry Field has recently suggested that a non-standard probability calculus better represents our beliefs about vague matters. His theory has two notable features: (i) that your attitude to P when ... More


Vagueness and the World

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/9780198712060.003.0014
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

According to a fairly widespread assumption, there is some definite collection of completely factual or fundamental propositions upon which all truths supervene and which are unaffected by vagueness. ... More


Quine and the Correspondence Theory

Hartry Field

in Truth and the Absence of Fact

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199242894
eISBN:
9780191597381
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199242895.003.0007
Subject:
Philosophy, General

A correspondence theory of truth explains truth in terms of various correspondence relations (e.g. reference) between words and the world. Quine's doctrine of indeterminacy is often supposed to ... More


Symmetry Semantics

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/9780198712060.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

The borderlineness operator can be given a relatively straightforward semantics in terms of the theory of precisifications. Without the assumption that vagueness can be analysed in terms of ... More


Against ‘Against “Against Vague Existence”’

Roberto Loss

in Oxford Studies in Metaphysics Volume 11

Published in print:
2018
Published Online:
September 2018
ISBN:
9780198828198
eISBN:
9780191866852
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198828198.003.0009
Subject:
Philosophy, Metaphysics/Epistemology

Alessandro Torza argues that Ted Sider’s Lewisian argument against vague existence is insufficient to rule out the possibility of what he calls ‘super-vague existence’, that is, the idea that ... More


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