## Notre Dame Journal of Formal Logic

### Peeking at the Impossible

Chris Mortensen

#### Abstract

The question of the interpretation of impossible pictures is taken up. Penrose's account is reviewed. It is argued that whereas this account makes substantial inroads into the problem, there needs to be a further ingredient. An inconsistent account using heap models is proposed.

#### Article information

Source
Notre Dame J. Formal Logic Volume 38, Number 4 (1997), 527-534.

Dates
First available in Project Euclid: 10 December 2002

https://projecteuclid.org/euclid.ndjfl/1039540768

Digital Object Identifier
doi:10.1305/ndjfl/1039540768

Mathematical Reviews number (MathSciNet)
MR1648851

Zentralblatt MATH identifier
0917.03014

Subjects
Primary: 03B60: Other nonclassical logic

#### Citation

Mortensen, Chris. Peeking at the Impossible. Notre Dame J. Formal Logic 38 (1997), no. 4, 527--534. doi:10.1305/ndjfl/1039540768. https://projecteuclid.org/euclid.ndjfl/1039540768.

#### References

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• [3] Penrose, R., On the cohomology of impossible figures,'' Structural Topology, vol. 17 (1991), pp. 11--16.
• [4] Penrose, R., Mathematics of the impossible,'' pp. 324--34 in The Artful Eye, edited by R. Gregory et al., Oxford University Press, Oxford, 1995.
• [5] Penrose, L. S., and R. Penrose, Impossible objects, a special type of visual illusion,'' British Journal of Psychology, vol. 49 (1958), p. 31.
• [6] Priest, G., Inconsistent models of arithmetic, Part 1: Finite models,'' The Journal of Philosophical Logic, vol. 26 (1997), pp. 223--35.
• [7] van Bendegem, J. P.,Strict, yet rich, finitism," pp. 61--79, in First International Symposium on Gödel's Theorem, World Scientific, Singapore, 1993.