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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

ISBN: 9789048194155

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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., [SC: 0.00], Neuware, gewerbliches Angebot, 248x164x27 mm, [GW: 544g]

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

ISBN: 9789048194155

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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., [SC: 0.00], Neuware, gewerbliches Angebot, 248x164x27 mm, [GW: 544g]

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Essays on the Foundations of Mathematics by Moritz Pasch - Pollard, Stephen
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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. Essays on the Foundations of Mathematics by Moritz Pasch Pollard, Stephen, Springer

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

ISBN: 9789048194155

ID: 9789048194155

Mathematics; History of Mathematical Sciences; Philosophy, general; Philosophy of Science Arithmetic, Axiomatics, Decidability, Empiricism, Geometry, History of Mathematics, mathematics Books Book, Springer Science+Business Media

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Moritz Pasch 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 he published between 1917-1926. Frais d'envoi EUR 0.00
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Essays on the Foundations of Mathematics by Moritz Pasch Essays-on-the-Foundations-of-Mathematics-by-Moritz-Pasch~~Stephen-Pollard Philosophy>Philosophy>Philosophy Hardcover, Springer Netherlands

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Détails sur le livre
Essays on the Foundations of Mathematics by Moritz Pasch
Auteur:

Stephen Pollard

Titre:

Essays on the Foundations of Mathematics by Moritz Pasch

ISBN:

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


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

Livre dans la base de données depuis 08.04.2008 19:35:52
Livre trouvé récemment le 20.07.2017 21:11:35
ISBN/EAN: 9048194156

ISBN - Autres types d'écriture:
90-481-9415-6, 978-90-481-9415-5


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