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ISBN: 9789048183487

As long as algebra and geometry The unreasonable effectiveness of proceeded along separate paths, mathematics in science . . . Eugene Wigner their advance was slow and their applications … Meer...

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2010, ISBN: 9048183480

[EAN: 9789048183487], Neubuch, [PU: Springer 2010-12-25]

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Kuyk, W.:
Complementarity in Mathematics: A First Introduction to the Foundation of Mathematics and Its History (Mathematics and Its Applications (closed)) - pocketboek

2010

ISBN: 9048183480

[EAN: 9789048183487], Neubuch, [PU: Springer], Books

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W. Kuyk:
Complementarity in Mathematics - pocketboek

2010, ISBN: 9789048183487

A First Introduction to the Foundations of Mathematics and Its History, Buch, Softcover, Softcover reprint of hardcover 1st ed. 1977, [PU: Springer], Springer, 2010

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W. Kuyk (author):
Complementarity in Mathematics - pocketboek

2010, ISBN: 9048183480

[EAN: 9789048183487], Neubuch, [PU: Springer Netherlands 2010-12-25, Berlin]

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EAN (ISBN-13): 9789048183487
ISBN (ISBN-10): 9048183480
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
188 Bladzijden
Gewicht: 0,272 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-10-23T15:59:12+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-10-04T14:11:02+02:00 (Amsterdam)
ISBN/EAN: 9789048183487

ISBN - alternatieve schrijfwijzen:
90-481-8348-0, 978-90-481-8348-7


Gegevens van de uitgever

Auteur: W. Kuyk
Titel: Mathematics and Its Applications; Complementarity in Mathematics - A First Introduction to the Foundations of Mathematics and Its History
Uitgeverij: Springer; Springer Netherland
175 Bladzijden
Verschijningsjaar: 2010-12-25
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,288 kg
Taal: Engels
171,19 € (DE)
175,99 € (AT)
189,00 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Grundlagen; Mathematische Grundlagen; Verstehen; History of Mathematics; Topology; algebra; mathematics; proposition; set theory; theorem; C; Mathematical Logic and Foundations; History of Mathematical Sciences; Mathematical Logic and Foundations; History of Mathematical Sciences; Mathematics and Statistics; Mathematik: Logik; Geschichte der Mathematik; BB

I. Semantical and Syntactical Aspects of Elementary Mathematical Theories.- I.1. Introduction to the Elementary Predicate Calculus without Equality.- I.2. Semantical Interpretation of the Propositional Calculus.- I.3. Semantical Interpretation of the Elementary Predicate Calculus.- I.4. Decision Procedure for the Elementary Predicate Calculus.- I.5. Predicate Calculus — the Theory Z.- I.6. Gödel’s Incompleteness Theorem.- I.7. The Incompleteness Theorems and Semantics.- I.8. Remarks on Non-Standard Mathematics.- II. Epistemological Aspects of Mathematics in Historical Perspective.- II. 1. Introduction.- II.2. The Philosophy of Mathematics in History.- II.2.1 Greek Mathematics.- II.2.2. From Hellenistic Philosophy to Modern Rationalism.- II.2.3. The Period in Early Modern Philosophy.- II.2.3.1. Descartes (1596–1650).- II.2.3.2. Newton (1642–1727).- II.2.3.3. Leibniz (1646–1716).- II.2.3.4. Kant (1724–1804).- II.3. Transition to the Present Century.- II.4. Directions in the 20th Century Philosophy of Mathematics.- II.4.1. Logicism.- II.4.1.1. Frege (1848–1925).- II.4.1.2. Russell (1872–1970).- II.4.2. Intuitionism.- II.4.2.1. Poincaré (1854–1912).- II.4.2.2. Brouwer (1881–1966).- II.4.2.3. The ‘Bourbaki’ Group.- II.4.3. Formalism.- III. An Outline of a Complementaristic Approach to Mathematics.- III.1. Facets and Methods of a Philosophy of Mathematics.- III.2. Two Kinds of Mathematical Existence.- III.3. Language, Set Theory and Mathematical Complementarity.- III.4. Complementarist Set Theory — an Outline.- III.5. The Unity of Mathematics: Algebra and Topology.- III.6. Bridging the Abyss Between the Discrete and the Continuous.- Selected Bibliography.- References for Further Study.- Index of Names.- Index of Subjects.

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