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Mathematics at infinity

Jeremy Gray ()
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Jeremy Gray: The Open University, Department of Mathematics and Statistics

A chapter in Mathematics, Substance and Surmise, 2015, pp 213-234 from Springer

Abstract: Abstract Points just beyond the plane, or points that have been lost by a transformation, were often rationalised as points at infinity, but this term meant different things to different people at different times. It was a figure of speech, a purely formal claim, and a claim that there are new real objects in geometry, before it became assimilated into the modern language concerning mathematical existence.

Keywords: Mathematical Object; Negative Curvature; Linguistic Analysis; Linguistic Activity; Formal Claim (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-21473-3_11

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DOI: 10.1007/978-3-319-21473-3_11

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