Philosophical Introduction to Set Theory

Stephen Pollard (Autor)

Buch | Softcover

192 Seiten

1990
University of Notre Dame Press (Verlag)
978-0-268-01585-5 (ISBN)

Titel ist leider vergriffen;
keine Neuauflage

Artikel merken

A statement of basic problems and questions applicable to the philosophy of set theory. The author applies mathematical structuralism and mathematical applications of plural reference and plural quantification to the interpretation of set theory.

Set theory is the primary mechanism for ideological and theoretical unification in modern mathematics. By offering a clear statement of basic questions and problems in this volume, Stephen Pollard aims to make the study of the philosophy of set theory less anarchic. Pollard largely ignores intuitionist and constructive alternatives to the Cantorian/Zermelian tradition. He applies mathematical structuralism and mathematical applications of plural reference and plural quantification - the two most important strands in the current philosophy of mathematics - to the philosophical interpretation of set theory. This book is intended to be accessible to graduate students and advanced undergraduates who have some aptitude at mathematical reasoning and some prior exposure to symbolic logic. It is suitable as a source of supplementary readings in a course on set theory or as a central text in a course on the philosophy of mathematics. It will also be of interest to professional philosophers both inside and outside of the philosphy of mathematics, and to set theorists with philosophical inclinations.

Erscheint lt. Verlag	31.7.1990
Verlagsort	Notre Dame IN
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-268-01585-6 / 0268015856
ISBN-13	978-0-268-01585-5 / 9780268015855
Zustand	Neuware