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Springer - The Higher Infinite: Large Cardinals in Set Theory

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Description

Explore the lofty reaches of infinite cardinalities with The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings. Published by Springer as part of the Springer Monographs in Mathematics series, this work examines the large cardinal hypotheses that define modern set theory. These hypotheses provide a superstructure for the analysis of strong propositions by prescribing transcendence over smaller cardinals. This text follows the mathematical legacies of Georg Cantor, specifically the extension of numbers into the infinite and the investigation of denumerable sets of reals. As a mainstream subject in modern set theory, the study of large cardinal hypotheses offers a deep look into the fundamental structures of mathematics. This book is an essential resource for those studying the history and development of set theory and its most complex cardinalities.

Key Features

This Springer monograph provides a detailed study of large cardinal hypotheses within the field of set theory.

The text examines the mathematical legacies of Georg Cantor regarding infinite numbers and denumerable sets of reals.

Readers can explore how large cardinal hypotheses provide a superstructure for analyzing strong mathematical propositions.

Part of the Springer Monographs in Mathematics series, ensuring a high standard for mathematical research and study.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
28 November 2008
Listed Since
07 November 2008

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