Antinomies of Mathematical Reason: The Inconsistency of PM Arithmetic and Related Systems

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dc.creatorFennell, Dr. S.
dc.date2000-07-15
dc.date2006-09-08
dc.date.accessioned2026-07-07T06:35:21Z
dc.date.available2026-07-07T06:35:21Z
dc.descriptionWe give a proof of the inconsistency of PM arithmetic, classical set theory and related systems, incidentally exposing an error in Goedel's own proof of Goedel's Theorems. The inconsistency proof, that formulae of the form R and ~R occur as theorems in the PM-isomorphic system P, proceeds from a reflexive substitution instance of the first axiom of the propositional calculus (axiom II.1 of P). Goedel's formalism is used throughout.
dc.description6 pages; two typos corrected, minor adjustment to accompanying descriptions
dc.identifierhttps://arxiv.org/abs/math/0007096
dc.identifierhttp://arxiv.org/abs/math/0007096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99766
dc.subjectGeneral Mathematics
dc.subject03D99
dc.titleAntinomies of Mathematical Reason: The Inconsistency of PM Arithmetic and Related Systems
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