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Essays on the Foundations of Mathematics by Moritz Pasch - Stephen Pollard
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Essays on the Foundations of Mathematics by Moritz Pasch - nouveau livre

2010, ISBN: 9789048194162

eBooks, eBook Download (PDF), 2010, 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 area… Plus…

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Essays on the Foundations of Mathematics by Moritz Pasch (The Western Ontario Series in Philosophy of Science Book 83) (English Edition) - nouveau livre

2010, ISBN: 9789048194162

Springer, Kindle Ausgabe, Auflage: 2010, 262 Seiten, Publiziert: 2010-08-03T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Philosophie, Sozialwissenschaft, Kategorien, Bücher, Katal… Plus…

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Essays on the Foundations of Mathematics by Moritz Pasch (The Western Ontario Series in Philosophy of Science Book 83) - nouveau livre

2010

ISBN: 9789048194162

Editor: Pollard, Stephen, Springer, Kindle Edition, Auflage: 2010, 262 Seiten, Publiziert: 2010-08-03T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, History of Mathematics, History … Plus…

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Informations détaillées sur le livre - Essays on the Foundations of Mathematics by Moritz Pasch (The Western Ontario Series in Philosophy of Science Book 83)


EAN (ISBN-13): 9789048194162
ISBN (ISBN-10): 9048194164
Date de parution: 2010
Editeur: Springer
245 Pages
Langue: eng/Englisch

Livre dans la base de données depuis 2011-08-28T13:10:47+02:00 (Paris)
Page de détail modifiée en dernier sur 2023-08-03T18:59:38+02:00 (Paris)
ISBN/EAN: 9789048194162

ISBN - Autres types d'écriture:
90-481-9416-4, 978-90-481-9416-2
Autres types d'écriture et termes associés:
Auteur du livre: pollard, key
Titre du livre: moritz pasch, moritz und, foundations mathematics, essays


Données de l'éditeur

Auteur: Stephen Pollard
Titre: The Western Ontario Series in Philosophy of Science; Essays on the Foundations of Mathematics by Moritz Pasch
Editeur: Springer; Springer Netherland
248 Pages
Date de parution: 2010-08-03
Dordrecht; NL
Langue: Anglais
96,29 € (DE)
99,00 € (AT)
118,00 CHF (CH)
Available
XII, 248 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Allgemeines, Lexika; Geschichte der Mathematik; Verstehen; Arithmetic; Axiomatics; Decidability; Empiricism; Geometry; History of Mathematics; mathematics; B; History of Mathematical Sciences; Philosophy; Philosophy of Science; Mathematics and Statistics; Philosophie; Wissenschaftsphilosophie und -theorie; BB

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.
Gives English speaker access to an important body of work from a turbulent and pivotal period in the history of mathematics Helps us look beyone the familiar triad of formalism, instuitionism and logicism Explains how we can see with the help of a guide determined to present fundamental mathematical ideas in ways that match our human capacities

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