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INFINITY AND THE PART-AND-WHOLE AXIOM. DEFINITIONS OF THE FUNDAMENTAL ENTITIES OF GEOMETRY

โœ Scribed by H. M. Gordin


Book ID
123979938
Publisher
Oxford University Press
Year
1919
Tongue
English
Weight
934 KB
Volume
29
Category
Article
ISSN
0026-9662

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## Abstract In this paper we introduce a theory of finite sets FST with a strong negation of the axiom of infinity asserting that every set is provably bijective with a natural number. We study in detail the role of the axioms of Power Set, Choice, Regularity in FST, pointing out the relative depen