Linear Algebra Representation of Necker Cubes I: The Crazy Crate

Authors

  • Chris Mortensen Dept of Philosophy, The University of Adelaide
  • Steve Leishman Dept of Philosophy, The University of Adelaide

DOI:

https://doi.org/10.26686/ajl.v7i0.1803

Abstract

We apply linear algebra to the study of the inconsistent figure known as the Crazy Crate. Disambiguation by means of occlusions leads to a class of sixteen such figures: consistent, complete, both and neither. Necessary and sufficient conditions for inconsistency are obtained.

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Author Biographies

Chris Mortensen, Dept of Philosophy, The University of Adelaide

Steve Leishman, Dept of Philosophy, The University of Adelaide

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Published

2009-03-27

Issue

Vol. 7 (2009): Australasian Journal of Logic

Section

Articles