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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Allg. & Lexika Elysian Dialogues on the Infinite
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Beschreibung
Using the creative fiction of conversations in the afterlife, this book presents a thorough exploration of the views of Georg Cantor, Gottfried Leibniz, and Bertrand Russell on the infinite. An unusual feature is that the vast majority of text is taken verbatim from the writings of these thinkers themselves, adroitly juxtaposed in such a way as to form natural dialogue. The first dialogue explores… Cantor’s interpretation of the actual infinite as transfinite, showing how Leibniz’s syncategorematic interpretation (involving infinite multiplicity without infinite totalities) provides a consistent alternative. The second and third explore Russell’s philosophy of mathematics across two periods of his development, at the turn of the century and some twenty years later. They show Leibniz as being able to offer lively rejoinders to Cantor’s and Russell’s criticisms of his philosophy. In this way the book provides a unique and accessible perspective on the foundations of mathematics, treating issues such as the paradoxes of set theory, intensional versus extensional conceptions of sets, the interpretation of infinite aggregates as distributive wholes, the role of possibility in mathematics, how to understand mathematical existence, the definitions of number and continuity, the treating of classes as fictions, the foundations of the calculus, the status of the axiom of infinity, the philosophy of space and time, the solution of Zeno’s paradoxes of motion, and much more. This book is a valuable and entertaining read for researchers and advanced students in philosophy of mathematics, mathematical logic, and the history of the foundations of mathematics. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
06.10.2026
Sprache
Englisch
EAN
9783032371034
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Frontiers in the History of Science
Sonderedition
Nein
Autor
Richard T. W. Arthur
Seitenanzahl
191
Einbandart
Broschiert
Buch Untertitel
Leibniz, Cantor, and Russell
Schlagwörter
Georg Cantor, Gottfried Wilhelm Leibniz, Imaginary dialogues on mathematics, Infinity, Syncategorematic vs. collective infinity, Transfinite set theory, Bertrand Russell
Thema-Inhalt
PBX - Geschichte der Mathematik
PDX - Geschichte der Naturwissenschaften
PB - Mathematik
Höhe
240 mm
Breite
16.8 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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