Sinossi
By its nature, set theory does not depend on any previous mathematical knowl edge. Hence, an individual wanting to read this book can best find out if he is ready to do so by trying to read the first ten or twenty pages of Chapter 1. As a textbook, the book can serve for a course at the junior or senior level. If a course covers only some of the chapters, the author hopes that the student will read the rest himself in the next year or two. Set theory has always been a sub ject which people find pleasant to study at least partly by themselves. Chapters 1-7, or perhaps 1-8, present the core of the subject. (Chapter 8 is a short, easy discussion of the axiom of regularity). Even a hurried course should try to cover most of this core (of which more is said below). Chapter 9 presents the logic needed for a fully axiomatic set th~ory and especially for independence or consistency results. Chapter 10 gives von Neumann's proof of the relative consistency of the regularity axiom and three similar related results. Von Neumann's 'inner model' proof is easy to grasp and yet it prepares one for the famous and more difficult work of GOdel and Cohen, which are the main topics of any book or course in set theory at the next level.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
"One of [the book's] strengths is the author's voice. His prose is clear and correct...The text is quite concise."
--Mathematical Reviews
"The volume is in a clear and interesting style and is highly recommended to undergraduate students of mathematics as well as philosophy."
--Acta Sci. Math. (on the first edition)
Contenuti
Preface * Introduction * Sets and Relations and Operations among them * Cardinal Numbers and Finite Sets * The Number Systems * More on Cardinal Numbers * Orders and Order Types * Axiomatic Set Theory * Well-orderings, Cardinals, and Ordinals * The Axiom of Regularity * Logic and Formalized Theories * Independence Proofs * More on Cardinals and Ordinals * Appendix * Bibliography * Index * Solutions to Selected Problems
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Condizione: Good. Springer Verlag, 2001. Cover lightly rubbed, corners and spine ends lightly rubbed, spine has small black ink inscription; edges have pink highlighting and minor soiling; inside front cover has publisher bookplate with black ink marking; binding tight; cover, edges, and interior intact and clean except as noted. paperback. Good. Codice articolo 609278
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Set Theory: An Introduction
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -By its nature, set theory does not depend on any previous mathematical knowl edge. Hence, an individual wanting to read this book can best find out if he is ready to do so by trying to read the first ten or twenty pages of Chapter 1. As a textbook, the book can serve for a course at the junior or senior level. If a course covers only some of the chapters, the author hopes that the student will read the rest himself in the next year or two. Set theory has always been a sub ject which people find pleasant to study at least partly by themselves. Chapters 1-7, or perhaps 1-8, present the core of the subject. (Chapter 8 is a short, easy discussion of the axiom of regularity). Even a hurried course should try to cover most of this core (of which more is said below). Chapter 9 presents the logic needed for a fully axiomatic set th~ory and especially for independence or consistency results. Chapter 10 gives von Neumann's proof of the relative consistency of the regularity axiom and three similar related results. Von Neumann's 'inner model' proof is easy to grasp and yet it prepares one for the famous and more difficult work of GOdel and Cohen, which are the main topics of any book or course in set theory at the next level. 182 pp. Englisch. Codice articolo 9780817642563
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Taschenbuch. Condizione: Neu. Neuware -By its nature, set theory does not depend on any previous mathematical knowl edge. Hence, an individual wanting to read this book can best find out if he is ready to do so by trying to read the first ten or twenty pages of Chapter 1. As a textbook, the book can serve for a course at the junior or senior level. If a course covers only some of the chapters, the author hopes that the student will read the rest himself in the next year or two. Set theory has always been a sub ject which people find pleasant to study at least partly by themselves. Chapters 1-7, or perhaps 1-8, present the core of the subject. (Chapter 8 is a short, easy discussion of the axiom of regularity). Even a hurried course should try to cover most of this core (of which more is said below). Chapter 9 presents the logic needed for a fully axiomatic set th~ory and especially for independence or consistency results. Chapter 10 gives von Neumann's proof of the relative consistency of the regularity axiom and three similar related results. Von Neumann's 'inner model' proof is easy to grasp and yet it prepares one for the famous and more difficult work of GOdel and Cohen, which are the main topics of any book or course in set theory at the next level.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 182 pp. Englisch. Codice articolo 9780817642563
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