{"product_id":"introduction-to-mathematical-philosophy","title":"Introduction to Mathematical Philosophy by Bertrand Russell","description":"\u003cp\u003eIn the words of Bertrand Russell, \"Because language is misleading, as well as because it is diffuse and inexact when applied to logic (for which it was never intended), logical symbolism is absolutely necessary to any exact or thorough treatment of mathematical philosophy.\" That assertion underlies this book, a seminal work in the field for more than 70 years. In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003eIn dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet -- a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003ePreface; Editor's Note \u003cbr\u003e1. The Series of natural numbers \u003cbr\u003e2. Definition of number \u003cbr\u003e3. Finitude and mathematical induction \u003cbr\u003e4. The definition of order \u003cbr\u003e5. Kinds of relations \u003cbr\u003e6. Similarity of relations \u003cbr\u003e7. Rational, real, and complex numbers \u003cbr\u003e8. Infinite cardinal numbers \u003cbr\u003e9. Infinite series and ordinals \u003cbr\u003e10. Limits and continuity \u003cbr\u003e11. Limits and continuity of functions \u003cbr\u003e12. Selections and the multiplicative axiom \u003cbr\u003e13. The axiom of infinity and logical types \u003cbr\u003e14. Incompatibility and the theory of deduction \u003cbr\u003e15. Propositional functions \u003cbr\u003e16. Descriptions \u003cbr\u003e17. Classes \u003cbr\u003e18. Mathematics and logic \u003cbr\u003eIndex\u003c\/p\u003e\n\u003cp\u003eby Bertrand Russell\u003c\/p\u003e\n\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eOriginally published: 2nd ed. London: G. Allen and Unwin; New York: Macmillan, 1919.; Includes bibliographical references.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":45954728165562,"sku":"9780486277240","price":12.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0444\/2213\/5968\/files\/imageloader_48d962ce-4717-49a7-aa04-f00ddd3e7c1b.jpg?v=1780669337","url":"https:\/\/naturenurture.shop\/products\/introduction-to-mathematical-philosophy","provider":"nature+nurture","version":"1.0","type":"link"}