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The Penrose Triangle is an impossible figure or impossible object or undecidable figure : it depicts an object which could not possibly exist. It is impossible for the Impossible Triangle to exist because in order for it to exist rules of Euclidean geometry would have to be violated. For example, the bottom bar of the tribar is represented as being spatially located to both the front of, and, at the same time, the back of the topmost point of the tribar. The Impossible Triangle has three sides. There are versions of impossible figures that have four sides and more, and in a number of different configurations and contexts.

See the figures below and explore other impossible figures in the Illusions Index. Escher e. Mathematicians have studied the mathematical and computational properties of impossible figures to try and develop formulas and algorithms for modelling impossible objects, for use in such things as computer vision. Cognitive scientists have been interested in the processes involved in continuing to see impossible figures as possible even when we know them to be impossible.

In answering this question, debates about modularity and cognitive penetration are of central importance. To explain: on the hypothesis that the mind is modular, a mental module is a kind of semi-independent department of the mind which deals with particular types of inputs, and gives particular types of outputs, and whose inner workings are not accessible to the conscious awareness of the person — all one can get access to are the relevant outputs.

Philosophers have also been interested in what impossible figures can tell us about the nature of the content of experience. It may not display this or other websites correctly. You should upgrade or use an alternative browser. Views Views: 14, Last updated Last updated: Oct 12, Default Server Settings. Overview of Rank members. Permissions Inheritance Hierarchy.

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