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Essays on the Foundations of Mathematics by Moritz Pasch (The Western Ontario Series in Philosophy of Science, 83, Band 83) - edition reliée, livre de poche

2010, ISBN: 9048194156

[EAN: 9789048194155], [SC: 48.0], [PU: Springer], PHILOSOPHIE; MATHEMATIK / GESCHICHTE; WISSENSCHAFTSPHILOSOPHIE; PHILOSOPHIE, GEISTESWISSENSCHAFTEN; ENZYKLOPÄDIE, Gebraucht - Sehr gut - … Plus…

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Essays on the Foundations of Mathematics by Moritz Pasch (The Western Ontario Series in Philosophy of Science, 83, Band 83) - edition reliée, livre de poche

2010, ISBN: 9048194156

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Essays on the Foundations of Mathematics by Moritz Pasch / Stephen Pollard / Buch / The Western Ontario Philosophy / XII / Englisch / 2010 / SPRINGER NATURE / EAN 9789048194155 - Pollard, Stephen
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Essays on the Foundations of Mathematics by Moritz Pasch / Stephen Pollard / Buch / The Western Ontario Philosophy / XII / Englisch / 2010 / SPRINGER NATURE / EAN 9789048194155 - edition reliée, livre de poche

2010, ISBN: 9789048194155

[ED: Gebunden], [PU: SPRINGER NATURE], 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 a… Plus…

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Essays on the Foundations of Mathematics by Moritz Pasch | Stephen Pollard | Buch | The Western Ontario Philosophy | XII | Englisch | 2010 | SPRINGER NATURE | EAN 9789048194155 - edition reliée, livre de poche

2010, ISBN: 9789048194155

[ED: Gebunden], [PU: SPRINGER NATURE], 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 a… Plus…

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Essays on the Foundations of Mathematics by Moritz Pasch: 83

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, will be of interest to graduate students and researchers in logic and the foundations of mathematics.

Informations détaillées sur le livre - Essays on the Foundations of Mathematics by Moritz Pasch: 83


EAN (ISBN-13): 9789048194155
ISBN (ISBN-10): 9048194156
Version reliée
Date de parution: 2010
Editeur: Springer
245 Pages
Poids: 0,544 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2008-04-08T19:35:52+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-03-03T15:58:30+01:00 (Paris)
ISBN/EAN: 9048194156

ISBN - Autres types d'écriture:
90-481-9415-6, 978-90-481-9415-5
Autres types d'écriture et termes associés:
Auteur du livre: moritz pasch, pollard, stephen, key
Titre du livre: essays foundations mathematics, moritz pasch, all about moritz, moritz und, ontario western, paasches, paasche, pasches, philosophy science


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: 2010-09-03
Dordrecht; NL
Imprimé / Fabriqué en
Poids: 1,200 kg
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XII, 248 p.

BB; History of Mathematical Sciences; Hardcover, Softcover / Mathematik/Allgemeines, Lexika; Geschichte der Mathematik; Verstehen; Arithmetic; Axiomatics; Decidability; Empiricism; Geometry; History of Mathematics; mathematics; Philosophy, general; Philosophy of Science; History of Mathematical Sciences; Philosophy; Philosophy of Science; Philosophie; Wissenschaftsphilosophie und -theorie; BC; EA

Translator's Introduction.- 1: Fundamental Questions of Geometry.- 2: The Decidability Requirement.- 3: The Origin of the Concept of Number.- 4: Implicit Definition and the Proper Grounding of Mathematics.- 5: Rigid Bodies in Geometry.- 6: Prelude to Geometry: the Essential Ideas.- 7: Physical and Mathematical Geometry.- 8: Natural Geometry.- 9: The Concept of the Differentail.- 10: Reflections on the Proper Grounding of Mathematics I.- 11: Concepts and Proofs in Mathematics.- 12 Dimension and Space in Mathematics.- 13: Reflections on the proper Grounding of Mathematics II.- 14: The Axiomatic Method in Modern Mathematics.- Index.

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