Linear Algebra Representation of Necker Cubes I: The Crazy Crate

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

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.

Author Biographies

Chris Mortensen, Dept of Philosophy, The University of Adelaide
Steve Leishman, Dept of Philosophy, The University of Adelaide
Published
2009-03-27
How to Cite
MORTENSEN, Chris; LEISHMAN, Steve. Linear Algebra Representation of Necker Cubes I: The Crazy Crate. The Australasian Journal of Logic, [S.l.], v. 7, mar. 2009. ISSN 1448-5052. Available at: <https://ojs.victoria.ac.nz/ajl/article/view/1803>. Date accessed: 18 july 2019. doi: https://doi.org/10.26686/ajl.v7i0.1803.