Kanamori akihirohigher infinite 2e us import book new. The foundation axiom and elementary selfembeddings of the. Ultraproducts and large cardinals logic at harvard. Gromov and metric riemannian and nonriemannian spaces, title a. These hypotheses posit cardinals that prescribe their own transcendence over smaller cardinals and provide a sup structure for the analysis of strong propositions. Find all the books, read about the author, and more. He specializes in set theory and is the author of the monograph on large cardinals, the higher infinite. This is the softcover reprint of the very popular hardcover edition.
The higher infinite by akihiro kanamori, 9783540888666, available at book depository with free delivery worldwide. Ultraproducts and large cardinals harvard university. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. Kanamori akihiro higher infinite 2e us import book new. Akihiro kanamori, the higher infinite, large cardinals in set theory from their beginnings, in perspectives in mathematical logic, springerverlag, berlin, 1994. The third millennium edition, revised and expanded. Vitali gave the rst example of a nonlebesgue measurable set. Large cardinals in set theory from their beginnings, springer verlag, 2nd corr. The higher infinite large cardinals in set theory from. Kanamori a the higher infinite large cardinals in set. The first of a projected multivolume series, this book provides a comprehensive account of the.
Kanamoris book updates and for the most part replaces his two earlier well known surveys that he coauthored with magidor, reinhardt, and solovay. Large cardinals in set theory from their beginnings is a monograph in set theory by akihiro kanamori, concerning the history and theory of large cardinals, infinite. Large cardinals in set theory from their beginnings springer monographs in mathematics 2nd ed. Introduction to matthew foreman and akihiro kanamori, editors, handbook of set theory, 192. 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. Akihiro kanamori is a japaneseborn american mathematician. Kanamori a the higher infinite large cardinals in set theory. Kanamoris book updates and for the most part replaces his two earlier wellknown surveys that he coauthored with magidor, reinhardt, and solovay. Large cardinals in set theory from their beginnings akihiro kanamori auth.
International handbook of earthquake and engineering seismology. The higher infinite refers to the lofty reaches of the infinite cardinalities of set theory as charted out by large cardinal hypotheses. Large cardinals in set theory from their beginnings. The infinite as method in set theory and mathematics, ontology studies 92009, 3141.