Philosophical Introduction to Set Theory (eBook)

Stephen Pollard (Autor)

eBook Download: EPUB

2015 | 1., First Edition, First
192 Seiten
Dover Publications (Verlag)
978-0-486-80582-5 (ISBN)

Infos

This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.

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The primary mechanism for ideological and theoretical unification in modern mathematics, set theory forms an essential element of any comprehensive treatment of the philosophy of mathematics. This unique approach to set theory offers a technically informed discussion that covers a variety of philosophical issues. Rather than focusing on intuitionist and constructive alternatives to the Cantorian/Zermelian tradition, the author examines the two most important aspects of the current philosophy of mathematics, mathematical structuralism and mathematical applications of plural reference and plural quantification.Clearly written and frequently cited in the mathematical literature, this book is geared toward advanced undergraduates and graduate students of mathematics with some aptitude for mathematical reasoning and prior exposure to symbolic logic. Suitable as a source of supplementary readings in a course on set theory, it also functions as a primary text in a course on the philosophy of mathematics.

Autor

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.

Inhalt

Table of Contents:PrefaceI. Queen of the Formal SciencesII. Offspring of AnalysisIII. Commonsense SetsIV. Logical Interlude: InterpretabilityV. FormalismVI. Some MathematicsVII. Logical Interlude: Second Order LogicVIII. Iterative HierarchiesIX. StructuralismAppendix IAppendix IINotesBibliographyIndex of Names

Produkt-Details

• Erscheint lt. Verlag: 20.7.2015
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 150 x 150 mm
• Gewicht: 256 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Schlagworte: advanced mathematics • cantorian • college level mathematics • graduate level mathematics • ideological and theoretical unification • math and science • math books • mathematical applications of plural reference • mathematical literature • mathematical reasoning • Mathematical structuralism • Mathematics • Modern Mathematics • philosophy of mathematics • plural quantification • Pure Mathematics • set theory • symbolic logic • zermelian tradition
• ISBN-10: 0-486-80582-4 / 0486805824
• ISBN-13: 978-0-486-80582-5 / 9780486805825