From heaps and gaps to heaps of gluts

From heaps and gaps to heaps of gluts One of the few points of agreement to be found in mainstream responses to the logical and semantic problems generated by vagueness is the view that if any modification of classical logic and semantics is required at all then it will only be such as to admit underdetermined reference and truth-value gaps. Logics of vagueness including many valued logics, fuzzy logics, and supervaluation logics all provide responses in accord with this view. The thought that an adequate response might require the recognition of cases of overdetermination and truth value gluts has few supporters. This imbalance lacks justification. As it happens, 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. A simple dualisation of supervaluation semantics results in a paraconsistent logic of vagueness based on what has been termed subvaluational semantics. Copyright 1997 « Previous | Next Article » Table of Contents This Article Mind (1997) 106 (424): 641-660. doi: 10.1093/mind/106.424.641 » Abstract Free Full Text (PDF) Free Classifications Article Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Request Permissions Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Citing articles via Google Scholar Google Scholar Articles by Hyde, D. Search for related content Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? Search this journal: Advanced » Current Issue October 2015 124 (496) Alert me to new issues The Journal About this journal Books for Review Rights & Permissions Dispatch date of the next issue We are mobile – find out more This journal is a member of the Committee on Publication Ethics (COPE) Journals Career Network Published on behalf of The Mind Association Editors Professor A.W. Moore Professor Lucy O’Brien View full editorial board For Authors Instructions to authors Review practices Self-archiving policy Submit now L5rKpSBe53Z6qiDquxayEwfrbppfmQN3 true Looking for your next opportunity? Looking for jobs... jQuery_1_11 = jQuery.noConflict(true); Alerting Services Email table of contents Email Advance Access CiteTrack XML RSS feed Corporate Services Advertising sales Reprints Supplements var taxonomies = ("AHU02770", "AHU02850", "AHU02920", "AHU02940", "AHU02950"); Most Most Read I.--COMPUTING MACHINERY AND INTELLIGENCE Basic Structures of Reality: Essays in Meta-Physics, by Colin McGinn. Natural Kind Essentialism Revisited II.--WHAT IS AN EMOTION ? Hume and the Independent Witnesses » View all Most Read articles Most Cited Weaseling away the indispensability argument Symposium: Chance and Credence: Humean Supervenience Debugged Are there Genuine Mathematical Explanations of Physical Phenomena? Mathematics and Aesthetic Considerations in Science Response to Colyvan » View all Most Cited articles Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department. Online ISSN 1460-2113 - Print ISSN 0026-4423 Copyright © 2015 Mind Association Oxford Journals Oxford University Press Site Map Privacy Policy Cookie Policy Legal Notices Frequently Asked Questions Other Oxford University Press sites: Oxford University Press Oxford Journals China Oxford Journals Japan Academic & Professional books Children's & Schools Books Dictionaries & Reference Dictionary of National Biography Digital Reference English Language Teaching Higher Education Textbooks International Education Unit Law Medicine Music Online Products & Publishing Oxford Bibliographies Online Oxford Dictionaries Online Oxford English Dictionary Oxford Language Dictionaries Online Oxford Scholarship Online Reference Rights and Permissions Resources for Retailers & Wholesalers Resources for the Healthcare Industry Very Short Introductions World's Classics function fnc_onDomLoaded() { var query_context = getQueryContext(); PF_initOIUnderbar(query_context,":QS:default","","JRN"); PF_insertOIUnderbar(0); }; if (window.addEventListener) { window.addEventListener('load', fnc_onDomLoaded, false); } else if (window.attachEvent) { window.attachEvent('onload', fnc_onDomLoaded); } var gaJsHost = (("https:" == document.location.protocol) ? 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From heaps and gaps to heaps of gluts

Mind, Volume 106 (424) – Oct 1, 1997

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Oxford University Press
Copyright
Copyright © 2015 Mind Association
ISSN
0026-4423
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1460-2113
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10.1093/mind/106.424.641
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Abstract

One of the few points of agreement to be found in mainstream responses to the logical and semantic problems generated by vagueness is the view that if any modification of classical logic and semantics is required at all then it will only be such as to admit underdetermined reference and truth-value gaps. Logics of vagueness including many valued logics, fuzzy logics, and supervaluation logics all provide responses in accord with this view. The thought that an adequate response might require the recognition of cases of overdetermination and truth value gluts has few supporters. This imbalance lacks justification. As it happens, 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. A simple dualisation of supervaluation semantics results in a paraconsistent logic of vagueness based on what has been termed subvaluational semantics. Copyright 1997 « Previous | Next Article » Table of Contents This Article Mind (1997) 106 (424): 641-660. doi: 10.1093/mind/106.424.641 » Abstract Free Full Text (PDF) Free Classifications Article Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Request Permissions Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Citing articles via Google Scholar Google Scholar Articles by Hyde, D. Search for related content Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? Search this journal: Advanced » Current Issue October 2015 124 (496) Alert me to new issues The Journal About this journal Books for Review Rights & Permissions Dispatch date of the next issue We are mobile – find out more This journal is a member of the Committee on Publication Ethics (COPE) Journals Career Network Published on behalf of The Mind Association Editors Professor A.W. Moore Professor Lucy O’Brien View full editorial board For Authors Instructions to authors Review practices Self-archiving policy Submit now L5rKpSBe53Z6qiDquxayEwfrbppfmQN3 true Looking for your next opportunity? Looking for jobs... jQuery_1_11 = jQuery.noConflict(true); Alerting Services Email table of contents Email Advance Access CiteTrack XML RSS feed Corporate Services Advertising sales Reprints Supplements var taxonomies = ("AHU02770", "AHU02850", "AHU02920", "AHU02940", "AHU02950"); Most Most Read I.--COMPUTING MACHINERY AND INTELLIGENCE Basic Structures of Reality: Essays in Meta-Physics, by Colin McGinn. Natural Kind Essentialism Revisited II.--WHAT IS AN EMOTION ? Hume and the Independent Witnesses » View all Most Read articles Most Cited Weaseling away the indispensability argument Symposium: Chance and Credence: Humean Supervenience Debugged Are there Genuine Mathematical Explanations of Physical Phenomena? Mathematics and Aesthetic Considerations in Science Response to Colyvan » View all Most Cited articles Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department. Online ISSN 1460-2113 - Print ISSN 0026-4423 Copyright © 2015 Mind Association Oxford Journals Oxford University Press Site Map Privacy Policy Cookie Policy Legal Notices Frequently Asked Questions Other Oxford University Press sites: Oxford University Press Oxford Journals China Oxford Journals Japan Academic & Professional books Children's & Schools Books Dictionaries & Reference Dictionary of National Biography Digital Reference English Language Teaching Higher Education Textbooks International Education Unit Law Medicine Music Online Products & Publishing Oxford Bibliographies Online Oxford Dictionaries Online Oxford English Dictionary Oxford Language Dictionaries Online Oxford Scholarship Online Reference Rights and Permissions Resources for Retailers & Wholesalers Resources for the Healthcare Industry Very Short Introductions World's Classics function fnc_onDomLoaded() { var query_context = getQueryContext(); PF_initOIUnderbar(query_context,":QS:default","","JRN"); PF_insertOIUnderbar(0); }; if (window.addEventListener) { window.addEventListener('load', fnc_onDomLoaded, false); } else if (window.attachEvent) { window.attachEvent('onload', fnc_onDomLoaded); } var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); try { var pageTracker = _gat._getTracker("UA-189672-16"); pageTracker._setDomainName(".oxfordjournals.org"); pageTracker._trackPageview(); } catch(err) {}

Journal

MindOxford University Press

Published: Oct 1, 1997

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