Items related to Handbook of Set Theory
Numbers imitate space, which is of such a di?erent nature ―Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships between these two types of objects? How can they interact? Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century.
"synopsis" may belong to another edition of this title.
From the Back Cover:
Review:
This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematics with foundational significance, and the expanse and variety of this handbook attests to the richness and sophistication of the subject. The chapters are written by acknowledged experts, major research figures in their areas, and they each bring to bear their experience and insights in carefully wrought, self-contained expositions. There is historical depth, elegant development, probing to the frontiers, and prospects for the future. This handbook is essential reading for the aspiring researcher, a pivotal focus for the veteran set theorist, and a massive reference for all those who want to gain a larger sense of the tremendous advances that have been made in the subject, one which first appeared as a foundation of mathematics but in the last several decades has expanded into a broad and far-reaching field with its own self-fueling initiatives.
From the reviews:
“This Handbook is written for graduate students and researchers ... . The 24 chapters and a long introduction are written by acknowledged experts, major research figures in their areas. ... The Handbook is completed by an extensive Index.” (Martin Weese, Zentralblatt MATH, Vol. 1197, 2010)"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2010
- ISBN 10 1402048432
- ISBN 13 9781402048432
- BindingHardcover
- Number of pages2244
- EditorForeman Matthew, Kanamori Akihiro
Buy New
Learn more about this copy
US$ 707.22
Shipping:
US$ 35.11
From Germany to U.S.A.
Top Search Results from the AbeBooks Marketplace
Seller Image
Handbook of Set Theory
Published by
Springer Netherlands
(2010)
ISBN 10: 1402048432
ISBN 13: 9781402048432
New
Hardcover
Quantity: 1
Seller:
Rating
Book Description Gebundene Ausgabe. Condition: Neu. Neu Neu - Numbers imitate space, which is of such a di erent nature -Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs and What assumptions are proofs based on The rst question, traditionally an internal question of the eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli ed by Descartes, ill- tratedoneofthedi cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother Whatare the relationships between these two types of objects How can they interact Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of nding a common playing eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century. Seller Inventory # INF1000469302
Buy New
US$ 707.22
Convert currency
Seller Image
Handbook of Set Theory
Published by
Springer Netherlands
(2010)
ISBN 10: 1402048432
ISBN 13: 9781402048432
New
Hardcover
Quantity: > 20
Seller:
Rating
Book Description Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Definitive compendium of all of modern set theoryChapters written by the leading experts in their areasCarefully crafted, self-contained expositions for all the subfields of set theoryNo other up-to-date single source avai. Seller Inventory # 4093905
Buy New
US$ 774.88
Convert currency
Seller Image
Handbook of Set Theory
Published by
Springer Netherlands Feb 2010
(2010)
ISBN 10: 1402048432
ISBN 13: 9781402048432
New
Buch
Quantity: 2
Seller:
Rating
Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Numbers imitate space, which is of such a di erent nature -Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs and What assumptions are proofs based on The rst question, traditionally an internal question of the eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli ed by Descartes, ill- tratedoneofthedi cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother Whatare the relationships between these two types of objects How can they interact Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of nding a common playing eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century. 2244 pp. Englisch. Seller Inventory # 9781402048432
Buy New
US$ 938.39
Convert currency
Stock Image
Handbook of Set Theory
Seller:
Rating
Book Description Condition: New. Buy with confidence! Book is in new, never-used condition. Seller Inventory # bk1402048432xvz189zvxnew
Buy New
US$ 965.18
Convert currency
Stock Image
Handbook of Set Theory
Seller:
Rating
Book Description Condition: New. New! This book is in the same immaculate condition as when it was published. Seller Inventory # 353-1402048432-new
Buy New
US$ 1,050.63
Convert currency