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  • eBook:Proofs of the Cantor-Bernstein Theorem

    Proofs of the Cantor-Bernstein Theorem

    A Mathematical Excursion
    Arie Hinkis
    978-3-0348-0224-6
    2013
    Edition 1
    • A scenic-view excursion through the developmental area of research mathematics around the Cantor-Bernstein Theorem (CBT) and related results stemming from Bernstein's Division Theorem (BDT), with emphasis on providing accurate proofs, similar to the originals, enabling appreciation of the historical context
    • Suggests a revision in the common understanding of central points in Cantor's set theory, such as his proofs of CBT and of the Comparability Theorem, the nature of the Limitation Principle, inconsistent sets and set theory by 1877
    • Opens up a discussion on the methodology of proof comparison, through the proof descriptors 'gestalt' and 'metaphor', generated by proof-processing
    • Resembles, in its attempt to present a diachronic narrative of one mathematical topic, from a methodological perspective, the celebrated book of Lakatos 'Proofs and Refutations'
    • Includes supplementary material: sn.pub/extras
    €180 €162
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