On the Foundations of Set Theory

David Booth and Renatus Ziegler
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David Booth: Three Fold Foundation 307
Renatus Ziegler: Mathematisch-Astronomische Sektion am Geotheanum

A chapter in Finsler Set Theory: Platonism and Circularity, 1996, pp 161-210 from Springer

Abstract: Abstract The first part of this construction of the foundations of set theory had the subtitle Sets and their Axioms. It appeared in 1926 in the Mathematische Zeitschrift [1926b]. The second part was to have treated the number systems. Since the first part met with such a lack of understanding, it seemed preferable to let these investigations, concerning the natural numbers, the continuum and the transfinite ordinal numbers, appear as separate publications ([1933], [1941b], [1954]).

Keywords: Natural Number; Number System; Ordinal Number; Axiom System; Logical Concept (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-3-0348-9031-1_14

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