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Bertrand Russell and "Continuity"

Peter F. Erickson
Year: 2013 Pages: 15
Keywords: Bertrand Russell, hollow, continuity

Central to establishment’s concept of continuity is that there be no “next-to.” It is integral to set theory and modern mathematics. Bertrand Russell noticed that it is in conflict with the common sense understanding of differential equations. Nonetheless, he accepted it. This led to a bizarre notion of a “physical object.” Is there an alternative to this concept of continuity? Yes, there is.