Inclosures, Vagueness, and Self-Reference

@article{Priest2010InclosuresVA,
  title={Inclosures, Vagueness, and Self-Reference},
  author={Graham Priest},
  journal={Notre Dame J. Formal Log.},
  year={2010},
  volume={51},
  pages={69-84}
}
  • G. Priest
  • Published 20 January 2010
  • Philosophy
  • Notre Dame J. Formal Log.
In this paper, I start by showing that sorites paradoxes are inclosure paradoxes. That is, they fit the Inclosure Scheme which characterizes the paradoxes of self-reference. Given that sorites and self-referential paradoxes are of the same kind, they should have the same kind of solution. The rest of the paper investigates what a dialetheic solution to sorites paradoxes is like, connections with a dialetheic solution to the self-referential paradoxes, and related issues— especially so called… 
View via Publisher
pgrim.org
63 Citations
Highly Influential Citations
2
Background Citations
7

63 Citations

Citation Type

Citation Type

At the Limits of Thought
  • Z. Weber
  • Philosophy
    Outstanding Contributions to Logic
  • 2019
The inclosure schema has been proposed by Priest as the structure of many paradoxes (Priest in Beyond the limits of thought. Oxford University Press, 2002). The inclosure analysis has many virtues,…
Paradoxes and Inconsistent Mathematics
Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions…
PARADOJAS, CONTRADICCIÓN Y PRINCIPIOS CONSTITUTIVOS DEL SIGNIFICADO
Sometimes, paradoxes involve meaning-constitutive principles. Priest (1987) claimed that in all cases we should keep the principles and accept the resulting contradictions, while Eklund (2002,2008)…
UvA-DARE ( Digital Academic Repository ) Vagueness , truth and permissive consequence
We say that a sentence A is a permissive consequence of a set of premises Γ whenever, if all the premises of Γ hold up to some standard, then A holds to some weaker standard. In this paper, we focus…
Chapter 21 Vagueness , Truth and Permissive Consequence
We say that a sentence A is a permissive consequence of a set of premises ! whenever, if all the premises of ! hold up to some standard, then A holds to some weaker standard. In this paper, we focus…
Vagueness, Truth and Permissive Consequence
We say that a sentence A is a permissive consequence of a set of premises Γ whenever, if all the premises of Γ hold up to some standard, then A holds to some weaker standard. In this paper, we focus…
Intuitionism and the Sorites Paradox
  • C. Wright
  • Philosophy
    The Riddle of Vagueness
  • 2019
This chapter revisits and further develops all the principle themes and concepts of the preceding chapters. Epistemicism about vagueness postulates a realm of distinctions drawn by basic vague…
JUST WHAT IS VAGUENESS
We argue that standard definitions of ‘vagueness’ prejudice the question of how best to deal with the phenomenon of vagueness. In particular, the usual understanding of ‘vagueness’ in terms of…
Stop Making Sense
This paper discusses the major theme of Adrian Moore’s The Evolution of Modern Metaphysics. Moore argues that the philosophical theories of many modern Western philosophers, seen as the project of…
Frege’s Unmanageable Thing
Frege famously maintained that concepts are not objects. A key argument of Frege’s for this view is, in outline, as follows: if we are to account for the unity of thought, concepts must be deemed…
...
...

References

SHOWING 1-10 OF 17 REFERENCES
Vagueness and Truth
In philosophy of logic and elsewhere, it is generally thought that similar problems should be solved by similar means. This advice is sometimes elevated to the status of a principle: the principle of…
From heaps and gaps to heaps of gluts
TLDR
Jaskowski's paraconsistent discussive logic-a logic which admits truth value gluts-can be defended by reflecting on similarities between it and the popular supervaluationist analysis of vagueness already in the philosophical literature.
Saving Truth From Paradox
Preface Introduction PART ONE: A SELECTIVE BACKGROUND 1. Chapter 1: Self-Reference and Tarski>'s Theorem 2. Validity and the Unprovability of Soundness 3. Kripke>'s Theory of Truth (Strong Kleene…
Paraconsistent logics
TLDR
This chapter discusses the need to derive reasonable inferences without deriving the trivial inferences that follow the ex falso quodlibet proof rule that holds in classical logic.
Frege: Philosophy of Mathematics.
No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial "Frege: Philosophy of Language" is a sustained, systematic analysis of…
The Philosophical Significance of Gödel ' s Theorem Inconsistent but Non-Trivial Theories
This document uses XHTML/Unicode to format the display. If you think special symbols are not displaying correctly, see our guide Displaying Special Characters.
Truth, Vagueness, and Paradox: An Essay on the Logic of Truth
Awarded the 1988 Johnsonian Prize in Philosophy. Published with the aid of a grant from the National Endowment for the Humanities.
An introduction to non-classical logic
Introduction 1. Classical logic and the material conditional 2. Basic modal logic 3. Normal modal logics 4. Non-normal worlds strict conditionals 5. Conditional logics 6. Intuitionist logic 7.…
All Things Indefinitely Extensible
Beyond the Limits of Thought
1. THE LIMITS OF EXPRESSION 5. NOUMENA AND THE CATEGORIES 8. ABSOLUTE INFINITY 12. THE UNITY OF THOUGHT 15. HEIDEGGER AND THE GRAMMAR OF BEING
...
...