Books in Mathematical logic and foundations

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Provability, Computability and Reflection

1st Edition
Volume 32
April 1, 2000
Lev D. Beklemishev
English
eBook
9 7 8 - 0 - 0 8 - 0 9 5 7 5 2 - 4

Provability, Computability and Reflection

1st Edition
Volume 33
April 1, 2000
Lev D. Beklemishev
English
eBook
9 7 8 - 0 - 0 8 - 0 9 5 7 5 3 - 1

Provability, Computability and Reflection

1st Edition
Volume 34
April 1, 2000
Lev D. Beklemishev
English
eBook
9 7 8 - 0 - 0 8 - 0 9 5 7 5 4 - 8

The book consists of a selection of the forms of the axiom of choice which appeared in the literature together with additional forms which were obtained in the process of writing the book. Forms which were either used often in practice, unusual, relatively unknown, or particularly weak or strong were chosen for inclusion. The book assumes a knowledge of logic and elementary set theory (von Neumann-Bemays-Godel set theory), but does include a list of definitions of set theoretical symbols and terms in the section entitled "Preliminary Definitions and Theorems".