DISSENTING VOICES Divergent Conceptions of the Continuum in 19th and Early 20th Century Mathematics and Philosophy
نویسنده
چکیده
ing an object’s divisibility and the other its self-identity. In mathematics it is the concept of whole number, later elaborated into the set concept, that provides an embodiment of the idea of pure discreteness, that is, of the idea of a collection of separate individual objects, all of whose properties—apart from their distinctness—have been refined away. The basic mathematical representation of the idea of continuity, on the other hand, is the geometric figure, and more particularly the straight line. By their very nature geometric figures are continuous; discreteness is injected into geometry, the realm of the 1 This observation is suggestive of Frege’s identification of the idea of “unit” with “concept”.
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