Abstract
Square circles or round squares have haunted many and diverse philosophical writers as the archetype of the impossible and the absurd; they were assigned a place near — or rather below — golden mountains, unicorns and mermaids. They have been discussed by Thomists, existentialists and linguistic philosophers as well as by Herbart, Bergson, Russell and many, many others.
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Notes
The taxicab geometry is also (Cf. [1971, 1]) “an approach to the idea of non-Euclidean geometry, though of a variety quite different from Bolyai’s and Lobachevsky’s . . . Students are quite interested in the taxicab geometry - in fact, so much so that they are even eager to study the still stranger and more complicated taxicab geometry in a city with one-way streets.” (About the latter, cf. H. C. Curtis, Am. Math. Monthly 60 (1953) 416.)
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© 1979 D. Reidel Publishing Company, Dordrecht, Holland
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Menger, K. (1979). Square Circles (The Taxicab Geometry). In: Selected Papers in Logic and Foundations, Didactics, Economics. Vienna Circle Collection, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9347-1_21
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DOI: https://doi.org/10.1007/978-94-009-9347-1_21
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