Complementarity in Mathematics
Autor W. Kuyken Limba Engleză Paperback – 25 dec 2010
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| SPRINGER NETHERLANDS – 30 sep 1977 | 908.91 lei 6-8 săpt. |
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Specificații
ISBN-13: 9789048183487
ISBN-10: 9048183480
Pagini: 192
Ilustrații: XI, 175 p.
Dimensiuni: 152 x 229 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of hardcover 1st ed. 1977
Editura: Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9048183480
Pagini: 192
Ilustrații: XI, 175 p.
Dimensiuni: 152 x 229 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of hardcover 1st ed. 1977
Editura: Springer
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
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.3. Transition to the Present Century.- II.4. Directions in the 20th Century Philosophy of Mathematics.- II.4.1.1. Frege (1848–1925).- II.4.1.2. Russell (1872–1970).- II.4.2.1. Poincaré (1854–1912).- II.4.2.2. Brouwer (1881–1966).- II.4.2.3. The ‘Bourbaki’ Group.- 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.