Equivalents of the Axiom of Choice II free download online
Title: Equivalents of the Axiom of Choice II Author(s): Herman Rubin Pages: 352 Publisher: Elsevier Publication date: 1985 Language: English Format: PDF ISBN-10: 0444877088 ISBN-13: Description: PREFACE (1963 Edition)
In 1955 at Stanford University Professor Patrick Suppes
gave a course on axiomatic set theory, during which time
Professor Herman Rubin was asked to give a series of lectures
on the axiom of choice. During the course of these lectures it
was noted that,' while there was much in the literature on the
axiom of choice, the material was available only in many diverse
journals and books. It was suggested that we collect this
material to make it more readily available. It seemed like a
simple enough project to begin with; then it grew and grew
some more and now has blossomed forth into a book.
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. It would have been a hopeless task to try to include
all of the forms of the axiom of choice which appeared in the
literature, so we chose the forms which in our opinion were
either used often in practice, unusual, relatively unknown, or
particularly weak or strong.
of the interesting equivalents of the axiom of choice.
(von Neumann-Bernays-Godel set theory), but we do include a
list of definitions of set theoretical symbols and terms in the
section entitled "Preliminary Definitions and Theorems".
We hope that we have included all
We assume a knowledge of logic and elementary set theory
In Part I we discuss propositions which are equivalent to
the usual form of the axiom of choice. These equivalents will
be referred to as set forms. In Part I1 we discuss stronger
forms - essentially forms which are obtained from the set forms
by changing the word "set" to "class". These latter forms are
called class forms.
# Hardcover: 352 pages
# Publisher: Elsevier Science Ltd (July 1985)
# Language: English
# ISBN-10: 0444877088
# ISBN-13: 978-0444877086
Equivalents of the Axiom of Choice II free download links:
Title: Equivalents of the Axiom of Choice II