Essays on the Foundations of Mathematics by Moritz Pasch (Registro nro. 205884)

MARC details
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007 - CAMPO FIJO DE DESCRIPCIÓN FIJA--INFORMACIÓN GENERAL
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020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS
International Standard Book Number 9789048194162
-- 978-90-481-9416-2
040 ## - FUENTE DE CATALOGACIÓN
Transcribing agency MX-MeUAM
050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO
Classification number B1-5802
082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY
Classification number 10
Edition number 23
100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL
Personal name Pollard, Stephen.
Relator term editor.
245 10 - MENCIÓN DE TITULO
Title Essays on the Foundations of Mathematics by Moritz Pasch
Medium [recurso electrónico] /
Statement of responsibility, etc. edited by Stephen Pollard.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Dordrecht :
Name of producer, publisher, distributor, manufacturer Springer Netherlands :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2010.
300 ## - DESCRIPCIÓN FÍSICA
Extent XII, 248 p.
Other physical details online resource.
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Media type term computer
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File type text file
Encoding format PDF
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490 1# - MENCIÓN DE SERIE
Series statement The Western Ontario Series in Philosophy of Science,
International Standard Serial Number 1566-659X ;
Volume/sequential designation 83
505 0# - NOTA DE CONTENIDO
Formatted contents note Translator’s Introduction -- Fundamental Questions of Geometry -- The Decidability Requirement -- The Origin of the Concept of Number -- Implicit Definition and the Proper Grounding of Mathematics -- Rigid Bodies in Geometry -- Prelude to Geometry: The Essential Ideas -- Physical and Mathematical Geometry -- Natural Geometry -- The Concept of the Differential -- Reflections on the Proper Grounding of Mathematics I -- Concepts and Proofs in Mathematics -- Dimension and Space in Mathematics -- Reflections on the Proper Grounding of Mathematics II -- The Axiomatic Method in Modern Mathematics.
520 ## - NOTA DE RESUMEN, ETC.
Summary, etc. Moritz Pasch (1843-1930) is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers Pasch published in the decade 1917-1926. In them, Pasch argues that geometry and, more surprisingly, number theory are branches of empirical science; he provides axioms for the combinatorial reasoning essential to Hilbert’s program of consistency proofs; he explores "implicit definition" (a generalization of definition by abstraction) and indicates how this technique yields an "empiricist" reconstruction of set theory; he argues that we cannot fully understand the logical structure of mathematics without clearly distinguishing between decidable and undecidable properties; he offers a rare glimpse into the mind of a master of axiomatics, surveying in detail the thought experiments he employed as he struggled to identify fundamental mathematical principles; and much more. This volume will: Give English speakers access to an important body of work from a turbulent and pivotal period in the history of mathematics. Help us look beyond the familiar triad of formalism, intuitionism, and logicism. Show how deeply we can see with the help of a guide determined to present fundamental mathematical ideas in ways that match our human capacities. The book will be of interest to graduate students and researchers in logic and the foundations of mathematics.
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650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Philosophy (General).
650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Philosophy.
650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO
Topical term or geographic name as entry element Philosophy.
710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9789048194155
830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME
Uniform title The Western Ontario Series in Philosophy of Science,
International Standard Serial Number 1566-659X ;
Volume number/sequential designation 83
856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS
Public note Libro electrónico
Uniform Resource Identifier <a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-90-481-9416-2">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-90-481-9416-2</a>
942 ## - TIPO DE MATERIAL (KOHA)
Koha item type Libro Electrónico
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