The Meaning of Infinity

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dc.creatorMueckenheim, W.
dc.date2004-03-15
dc.date2006-12-13
dc.date.accessioned2026-07-07T06:42:23Z
dc.date.available2026-07-07T06:42:23Z
dc.descriptionThe notions of potential infinity (understood as expressing a direction) and actual infinity (expressing a quantity) are investigated. It is shown that the notion of actual infinity is inconsistent, because the set of all (finite) natural numbers which it is ascribed to, cannot contain an actually infinite number of elements. Further the basic inequality of transfinite set theory aleph0 < 2^aleph0 is found invalid, and, consequently, the set of real numbers is proven denumerable by enumerating it.
dc.identifierhttps://arxiv.org/abs/math/0403238
dc.identifierhttp://arxiv.org/abs/math/0403238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102022
dc.subjectGeneral Mathematics
dc.subject03E25, 03E35
dc.titleThe Meaning of Infinity
dc.typetext

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