Axiomatic set theory (Record no. 65911)

MARC details
000 -LEADER
fixed length control field 02669nam a22002297a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250804114117.0
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780486616308
028 ## - DISTRIBUTOR NAME
Distributor Name Donated by Prof. Sanjeev Agrawal
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 511.32 SUP
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Suppes, Patrick.
245 ## - TITLE STATEMENT
Title Axiomatic set theory
Statement of responsibility, etc / Suppes Patrick.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New York
Name of publisher, distributor, etc : Dover Publications
Date of publication, distribution, etc , 2013.
300 ## - PHYSICAL DESCRIPTION
Extent ix, 267p.
Dimensions : 24cm.
365 ## - TRADE PRICE
Price amount 00
520 ## - SUMMARY, ETC.
Summary, etc One of the most pressing problems of mathematics over the last hundred years has been the question: What is a number? One of the most impressive answers has been the axiomatic development of set theory. The question raised is: "Exactly what assumptions, beyond those of elementary logic, are required as a basis for modern mathematics?" Answering this question by means of the Zermelo-Fraenkel system, Professor Suppes' coverage is the best treatment of axiomatic set theory for the mathematics student on the upper undergraduate or graduate level. The opening chapter covers the basic paradoxes and the history of set theory and provides a motivation for the study. The second and third chapters cover the basic definitions and axioms and the theory of relations and functions. Beginning with the fourth chapter, equipollence, finite sets and cardinal numbers are dealt with. Chapter five continues the development with finite ordinals and denumerable sets. Chapter six, on rational numbers and real numbers, has been arranged so that it can be omitted without loss of continuity. In chapter seven, transfinite induction and ordinal arithmetic are introduced and the system of axioms is revised. The final chapter deals with the axiom of choice. Throughout, emphasis is on axioms and theorems; proofs are informal. Exercises supplement the text. Much coverage is given to intuitive ideas as well as to comparative development of other systems of set theory. Although a degree of mathematical sophistication is necessary, especially for the final two chapters, no previous work in mathematical logic or set theory is required. For the student of mathematics, set theory is necessary for the proper understanding of the foundations of mathematics. Professor Suppes in Axiomatic Set Theory provides a very clear and well-developed approach. For those with more than a classroom interest in set theory, the historical references and the coverage of the rationale behind the axioms will provide a strong background to the major developments in the field. 1960 edition.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Fuzzy sets
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Set theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Axiomatic set theory
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Suppes Patrick
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Total Renewals Full call number Barcode Date last seen Date checked out Price effective from Koha item type Public note
    Dewey Decimal Classification     SNU LIBRARY SNU LIBRARY 04/08/2025 Donated by Prof. Sanjeev Agrawal 0.00 3 3 511.32 SUP G5503 16/12/2025 18/11/2025 04/08/2025 Books Donated by Prof. Sanjeev Agrawal
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