The present work is an attempt to break ground in mathematics proper, armed with the accepting view just described. Specifically, we shall examine various versions of antinomic set theory, in particular the axiom of choice, keeping the presentation as intuitive as possible, more in the manner of a nineteenth century paper than as a thoroughly formalized system. The reason for such a presentation is the conviction that at this point it should be the mathematics that eventually determines the logic, rather than the other way around
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DOI 10.12775/LLP.1996.003
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[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
A Calculus of Antinomies.F. G. Asenjo - 1966 - Notre Dame Journal of Formal Logic 7:103.
Logic of Antinomies.F. G. Asenjo & J. Tamburino - 1975 - Notre Dame Journal of Formal Logic 16 (1):17-44.
An Axiomatisation of Set Theory.John von Neumann - 1925 - In J. Van Heijenoort (ed.), From Frege to Gödel: A Source Book in Mathematical Logic, 1879--1931. Harvard University Press. pp. 393--413.
Continua Without Sets.F. G. Asenjo - 1993 - Logic and Logical Philosophy 1:95-128.

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