Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/36098
Type: | Journal article |
Title: | An analysis of inconsistent and incomplete Necker cubes |
Author: | Mortensen, C. |
Citation: | The Australasian Journal of Logic, 2006; 4:216-225 |
Publisher: | Australasian Association for Logic |
Issue Date: | 2006 |
ISSN: | 1448-5052 |
Abstract: | 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. |
Description: | © 2006 Chris Mortensen |
Published version: | http://www.philosophy.unimelb.edu.au/ajl/ |
Appears in Collections: | Aurora harvest Philosophy publications |
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hdl_36098.pdf | 408.4 kB | Publisher's PDF | View/Open |
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