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ISBN: 9789048194155
ID: 9789048194155
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: 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. Philosophie, Springer-Verlag Gmbh
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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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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]
Booklooker.de |
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, FixedPrice, [GW: 544g]
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ISBN: 9789048194155
ID: 603211
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, and will be of interest to graduate students and researchers in logic and the foundations of mathematics. Philosophy Philosophy eBook, Springer
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Titel: | Essays on the Foundations of Mathematics by Moritz Pasch |
ISBN-Nummer: | 9789048194155 |
Detailangaben zum Buch - Essays on the Foundations of Mathematics by Moritz Pasch
EAN (ISBN-13): 9789048194155
ISBN (ISBN-10): 9048194156
Gebundene Ausgabe
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
245 Seiten
Gewicht: 0,544 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 08.04.2008 19:35:52
Buch zuletzt gefunden am 01.03.2017 18:30:05
ISBN/EAN: 9789048194155
ISBN - alternative Schreibweisen:
90-481-9415-6, 978-90-481-9415-5
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