Articles liés à Philosophical Introduction to Set Theory

Philosophical Introduction to Set Theory - Couverture souple

Pollard, Stephen

 
9780268015855: Philosophical Introduction to Set Theory
Couverture souple
ISBN 10 : 0268015856 ISBN 13 : 9780268015855
Editeur : University of Notre Dame Press, 1990

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

Stephen Pollard is Professor of Philosophy at Truman State University in Kirksville, Missouri. In addition to A Mathematical Prelude to the Philosophy of Mathematics, he is co-translator of the Dover edition of Herman Weyl's The Continuum.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
University of Notre Dame Press
Date d'édition
1990
Langue
anglais
ISBN 10 
0268015856
ISBN 13 
9780268015855
Reliure
Broché
Nombre de pages
192
Coordonnées du fabricant
non disponible
Personne responsable
non disponible