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Essays on the Foundations of Mathematics by Moritz Pasch - Couverture rigide
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Synopsis
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.
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Présentation de l'éditeur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Essays on the Foundations of Mathematics by Moritz Pasch (The Western Ontario Series in Philosophy of Science, 83)
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Springer, 2010
ISBN 10 : 9048194156
ISBN 13 : 9789048194155
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Essays on the Foundations of Mathematics by Moritz Pasch (The Western Ontario Series in Philosophy of Science, 83, Band 83)
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Springer, 2010
ISBN 10 : 9048194156
ISBN 13 : 9789048194155
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Couverture rigide
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Gebundene Ausgabe. Etat : Sehr gut. Gebraucht - Sehr gut - ungelesen,als Mängelexemplar gekennzeichnet, mit leichten Mängeln an Schnitt oder Einband durch Lager- oder Transportschaden -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.Libri GmbH, Europaallee 1, 36244 Bad Hersfeld 260 pp. Englisch. N° de réf. du vendeur INF1000284222
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Essays on the Foundations of Mathematics by Moritz Pasch (eng)
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Essays on the Foundations of Mathematics by Moritz Pasch
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SPRINGER NATURE Sep 2010, 2010
ISBN 10 : 9048194156
ISBN 13 : 9789048194155
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - 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. 248 pp. Englisch. N° de réf. du vendeur 9789048194155
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Essays on the Foundations of Mathematics by Moritz Pasch
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Essays on the Foundations of Mathematics by Moritz Pasch
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ISBN 10 : 9048194156
ISBN 13 : 9789048194155
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives English speaker access to an important body of work from a turbulent and pivotal period in the history of mathematicsHelps us look beyone the familiar triad of formalism, instuitionism and logicismExplains how we can see with the help of a guide deter. N° de réf. du vendeur 5822598
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Essays on the Foundations of Mathematics by Moritz Pasch (The Western Ontario Series in Philosophy of Science, 83)
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Essays on the Foundations of Mathematics by Moritz Pasch
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9789048194155
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Essays on the Foundations of Mathematics by Moritz Pasch
Edité par
Springer, 2010
ISBN 10 : 9048194156
ISBN 13 : 9789048194155
Ancien ou d'occasion
Couverture rigide
Vendeur : Buchpark, Trebbin, Allemagne
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Etat : Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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. N° de réf. du vendeur 7684148/2
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Essays on the Foundations of Mathematics by Moritz Pasch
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Etat : New. pp. 260. N° de réf. du vendeur 262122006
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