Introduction to Mathematical Philosophy: Routledge Classics
Autor Bertrand Russellen Limba Engleză Hardback – 15 sep 2022
First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. Russell explains that mathematics can be approached in two distinct directions: one that is driven by a mechanical kind of simplicity and builds towards complexity, from integers to fractions and real numbers to complex ones; and one that searches for abstractness and logical simplicity by asking what general principles underlie mathematics.
From here Russell introduces and explains, in his customary pellucid prose, the definition of numbers, finitude, correlation and relation, mathematical limits, infinity, propositional descriptions and classes. Russell concludes with a fascinating summary of the relationship between mathematics and logic, of which he states "logic is the youth of mathematics."
This Routledge Classics edition includes a new Foreword by Michael Potter.
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Taylor & Francis – 15 sep 2022 | 734.34 lei 6-8 săpt. |
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Specificații
ISBN-13: 9781032312675
ISBN-10: 103231267X
Pagini: 226
Dimensiuni: 138 x 216 x 16 mm
Greutate: 0.58 kg
Ediția:1
Editura: Taylor & Francis
Colecția Routledge
Seria Routledge Classics
Locul publicării:Oxford, United Kingdom
ISBN-10: 103231267X
Pagini: 226
Dimensiuni: 138 x 216 x 16 mm
Greutate: 0.58 kg
Ediția:1
Editura: Taylor & Francis
Colecția Routledge
Seria Routledge Classics
Locul publicării:Oxford, United Kingdom
Public țintă
General, Postgraduate, and Undergraduate CoreCuprins
Foreword to the Routledge Classics Edition Michael Potter Preface 1. The Series of Natural Numbers 2. Definition of Number 3. Finitude and Mathematical Induction 4. The Definition of Order 5. Kinds of Relations 6. Similarity of Relations 7. Rational, Real, and Complex Numbers 8. Infinite Cardinal Numbers 9. Infinite Series and Ordinals 10. Limits and Continuity 11. Limits and Continuity of Functions 12. Selections and the Multiplicative Axiom 13. The Axiom of Infinity and Logical Types 14. Incompatibility and the Theory of Deduction 15. Propositional Functions 16. Descriptions 17. Classes 18. Mathematics and Logic. Index
Notă biografică
Bertrand Russell (1872-1970). A celebrated mathematician and logician, Russell was and remains one of the most genuinely widely read and popular philosophers of modern times.
Descriere
First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. This Routledge Classics edition includes a new Foreword by Michael Potter.