Search results for "Cantor's theorem"

showing 2 items of 2 documents

IFS attractors and Cantor sets

2006

Abstract We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attractor of an iterated function system. We give also an example of a Cantor set K in R 3 such that every homeomorphism f of R 3 which preserves K coincides with the identity on K.

Cantor's theoremDiscrete mathematicsMathematics::Dynamical SystemsAntoine's necklaceCantor set[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]010102 general mathematicsMathematics::General TopologyCantor function01 natural sciences010101 applied mathematicsCombinatoricsNull setCantor setsymbols.namesakeMetric spaceAttractorsymbolsGeometry and Topology0101 mathematicsAntoine's necklaceCantor's diagonal argumentIterated function systemMathematicsTopology and its Applications
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Composition as identity and plural Cantor's theorem

2016

In this paper, I argue that the thesis of Composition as Identity blocks the plural version of Cantor’s Theorem, and that this in turn has implications for our use of Cantor’s theorem in metaphysics. As an example, I show how this result blocks a recent argument by Hawthorne and Uzquiano, and might be turned around to become an abductive argument for Composition as Identity

Cantor's theoremPure mathematicsmedia_common.quotation_subject05 social sciencesMetaphysics06 humanities and the arts0603 philosophy ethics and religion050105 experimental psychologyEpistemologyPhilosophysymbols.namesakeArgumentIdentity (philosophy)060302 philosophysymbols0501 psychology and cognitive sciencesCantor's paradoxCantor's diagonal argumentmedia_commonMathematicsMereologyPluralLogic and Logical Philosophy
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