David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Australasian Journal of Philosophy 4:216-225 (2006)
This paper aims to distinguish and classify sixteen versions of the Necker cube. In particular, it is shown how to describe inconsistent and incomplete theories which correspond in a systematic way to these sixteen diagrams. Concerning two of these sixteen cubes, there is a natural intuition that there is a sense in which they inconsistent. It is seen that this intuition is vindicated by an analysis in which their corresponding theories turn out to be globally inconsistent but not locally inconsistent, while various other cubes of the sixteen are merely locally inconsistent. The Routley functor is seen to be useful in classifying the relations between these diagrams
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Chris Mortensen (1984). Aristotle's Thesis in Consistent and Inconsistent Logics. Studia Logica 43 (1-2):107 - 116.
Chris Mortensen & Peter Quigley (2005). Cubic Logic, Ulam Games, and Paraconsistency. Journal of Applied Non-Classical Logics 15 (1):59-68.
Claudio Pizzi (2008). Aristotle's Cubes and Consequential Implication. Logica Universalis 2 (1):143-153.
Chris Mortensen (1990). Models for Inconsistent and Incomplete Differential Calculus. Notre Dame Journal of Formal Logic 31 (2):274-285.
J. Cole & Christian Edward Mortensen (1995). Fixed Point Theorems for Inconsistent and Incomplete Formation of Large Categories. Logique Et Analyse 139 (140):223-238.
Chris Mortensen (2009). Linear Algebra Representation of Necker Cubes II: The Routley Functor and Necker Chains. Australasian Journal of Philosophy 7:10-25.
Added to index2010-07-27
Total downloads38 ( #113,287 of 1,934,580 )
Recent downloads (6 months)2 ( #269,381 of 1,934,580 )
How can I increase my downloads?