Georg Cantor and His Heritage
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 208-216

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Cantor's ideas on the background of the development of mathematics (rather than foundations of mathematics) in the XX century are discussed freely, by drawing analogies from computer science, physics, and art studies.
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Yu. I. Manin. Georg Cantor and His Heritage. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 208-216. http://geodesic.mathdoc.fr/item/TM_2004_246_a14/