Axiomatic set theory /
Suppes, Patrick, 1922-2014.
Axiomatic set theory / by Patrick Suppes. - First Edition - xii, 267 pages : figures ; 22 cm.
Reprint of the 1960 ed., issued in series: The University series in undergraduate mathematics.
Includes bibliographical references. (pages 255-258).
General developments -- Relations and functions -- Equipollence, finite sets, and cardinal numbers -- Finite ordinals and denumerable sets -- Rational numbers and real numbers -- Transfinite induction and ordinal arithmetic -- The axiom of choice.
One of the most pressingproblems 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.
0486616304
72086226
Axiomatic set theory
Teoría de conjuntos axiomáticos
511.322
Axiomatic set theory / by Patrick Suppes. - First Edition - xii, 267 pages : figures ; 22 cm.
Reprint of the 1960 ed., issued in series: The University series in undergraduate mathematics.
Includes bibliographical references. (pages 255-258).
General developments -- Relations and functions -- Equipollence, finite sets, and cardinal numbers -- Finite ordinals and denumerable sets -- Rational numbers and real numbers -- Transfinite induction and ordinal arithmetic -- The axiom of choice.
One of the most pressingproblems 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.
0486616304
72086226
Axiomatic set theory
Teoría de conjuntos axiomáticos
511.322