The Higher Infinite

Large Cardinals in Set Theory from Their Beginnings

Akihiro Kanamori (Autor)

Buch | Hardcover

XXII, 564 Seiten

2005 | 2., corr. Printing
Springer Berlin (Verlag)
978-3-540-00384-7 (ISBN)

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The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of investigation for the analysis of the relative consistency of mathematical propositions and possible new axioms for mathematics. The first of a projected multi-volume series, this book provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research. A "genetic" approach is taken, presenting the subject in the context of its historical development. With hindsight the consequential avenues are pursued and the most elegant or accessible expositions given. With open questions and speculations provided throughout the reader should not only come to appreciate the scope and coherence of the overall enterprise but also become prepared to pursue research in several specific areas by studying the relevant sections.

Reihe/Serie	Springer Monographs in Mathematics
Sprache	englisch
Maße	155 x 235 mm
Gewicht	950 g
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	HC/Mathematik/Grundlagen • infinitary combinatorics • Large cardinals • Mengenlehre • new axioms for set theory • relative consistency results • set theory
ISBN-10	3-540-00384-3 / 3540003843
ISBN-13	978-3-540-00384-7 / 9783540003847
Zustand	Neuware