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SET THEORY (M1, Takeuti, 1)

Lecture Topic : (Pure Math) SET THEORY (M1, Takeuti, 1)

Recommended Text(s) :

“Introduction to Axiomatic Set Theory”, 2nd Edn., Graduate Texts in Mathematics (GTM) No. 1, Gaisi Takeuti & Wilson M. Zaring, Springer, 1982.

Approx price new on Amazon.com (hard copy) :  –

Approx price second hand on Amazon.com (hard copy) : $14

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Takeuti, Axiomatic Set Theory

Lectures and Links :

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Lecture 1  (link)

Ch.1   Introduction

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Lecture 2  (link)

Ch.2   Language and Logic

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Lecture 3  (link)

Ch.3   Equality

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Lecture 4 (link)

Ch.4   Classes

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Lecture 5  (link)

Ch.5   The Elementary Properties of Classes

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Lecture 6  (link)

Ch.6   Functions and Relations

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Lecture 7  (link)

Ch.7   Ordinal Numbers

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Lecture 8  (link)

Ch.8   Ordinal Arithmetic

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Lecture 9  (link)

Ch.9   Relational Closure and the Rank Function

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Lecture 10  (link)

Ch.10   The Axiom of Choice and Cardinal Numbers

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Lecture 11  (link)

Ch.11   Cofinality, the Generalized Continuum Hypothesis, and Cardinal Arithmetic

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Lecture 12  (link)

Ch.12   Models

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Lecture 13  (link)

Ch.13   Absoluteness

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Lecture 14  (link)

Ch.14   The Fundamental Operations

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Lecture 15  (link)

Ch.15   The Godel Model

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Lecture 16  (link)

Ch.16   Silver Machines

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Lecture 17  (link)

Ch.17   Applications of Silver Machines

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Lecture 18  (link)

Ch.18   Introduction to Forcing

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Lecture 19  (link)

Ch.19   Forcing

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