The Problems of the Mental Logic with the Double Negation: The Necessity of a Semantic Approach

Studies in Logic, Grammar and Rhetoric 46 (1):143-153 (2016)
  Copy   BIBTEX

Abstract

The double negation has always been considered by the logical systems from ancient times to the present. In fact, that is an issue that the current syntactic theories studying human reasoning, for example, the mental logic theory, address today. However, in this paper, I claim that, in the case of some languages such as Spanish, the double negation causes problems for the cognitive theories mainly based on formal schemata and supporting the idea of a universal syntax of thought in the human mind. Thus, I propose that, given those problems, semantic frameworks such as that of the mental models theory seem to be more appropriate for explaining the human inferential activity.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,349

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Ultrasheaves and Double Negation.Jonas Eliasson & Steve Awodey - 2004 - Notre Dame Journal of Formal Logic 45 (4):235-245.
Nearly every normal modal logic is paranormal.Joao Marcos - 2005 - Logique Et Analyse 48 (189-192):279-300.
Classical Negation and Game-Theoretical Semantics.Tero Tulenheimo - 2014 - Notre Dame Journal of Formal Logic 55 (4):469-498.
Delimited control operators prove Double-negation Shift.Danko Ilik - 2012 - Annals of Pure and Applied Logic 163 (11):1549-1559.
Defining double negation elimination.G. Restall - 2000 - Logic Journal of the IGPL 8 (6):853-860.
Negation and Paraconsistent Logics.Soma Dutta & Mihir K. Chakraborty - 2011 - Logica Universalis 5 (1):165-176.
A Hierarchy of Weak Double Negations.Norihiro Kamide - 2013 - Studia Logica 101 (6):1277-1297.
Glivenko Theorems for Substructural Logics over FL.Nikolaos Galatos & Hiroakira Ono - 2006 - Journal of Symbolic Logic 71 (4):1353 - 1384.

Analytics

Added to PP
2017-05-18

Downloads
13 (#1,006,512)

6 months
8 (#352,434)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

The Language of Thought.J. A. Fodor - 1978 - Critica 10 (28):140-143.
How We Reason.Philip Nicholas Johnson-Laird - 2006 - Oxford University Press.
Untersuchungen über das logische Schließen. I.Gerhard Gentzen - 1935 - Mathematische Zeitschrift 35:176–210.
A Border Dispute. The Place of Logic in Psychology.Jay L. Garfield - 1988 - Journal of Symbolic Logic 53 (1):314.

View all 12 references / Add more references