{"title":"Jean van Heijenoort","description":"\u003cp\u003eDelve into the profound world of mathematical logic and philosophy with the works of Jean van Heijenoort. Renowned as a significant figure in the realm of symbolic logic, van Heijenoort’s contributions have shaped the understanding of foundational theories in mathematics and philosophy.\u003c\/p\u003e\n\n\u003cp\u003eJean van Heijenoort is best known for his meticulously curated collection, \u003cem\u003eFrom Frege to Gödel\u003c\/em\u003e. This seminal work offers an unparalleled insight into the evolution of modern logic, encompassing pioneering writings by some of the greatest minds such as Frege, Russell, and Gödel. Its comprehensive coverage has made it an indispensable resource for both students and scholars within the Science \u0026amp; Nature category.\u003c\/p\u003e\n\n\u003cp\u003eIf you are seeking to explore the intricate relationship between logic and mathematics through a historical lens, van Heijenoort’s collection presents a compelling and accessible entry point. Each piece within the collection is carefully annotated, providing clarity and deeper understanding of complex concepts. For anyone interested in the bedrock of modern logical thought, Jean van Heijenoort's works are simply a must-read.\u003c\/p\u003e","products":[{"product_id":"from-frege-to-godel-by-jean-van-heijenoort-9780674324497","title":"From Frege to Gödel","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003eThe fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons. However, it was the publication in 1879 of Gottlob Frege's \u003ci\u003eBegriffsschrift\u003c\/i\u003e that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory.\u003c\/p\u003e\n\n\u003cp\u003eFrege's book, translated in its entirety, begins the present volume. The emergence of two new fields—set theory and foundations of mathematics—on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Peano and Dedekind illustrate the trend that led to \u003ci\u003ePrincipia Mathematica\u003c\/i\u003e. Burali-Forti, Cantor, Russell, Richard, and König mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Löwenheim's theorem, and he and Fraenkel amend Zermelo's axiomatization of set theory, while von Neumann offers a somewhat different system.\u003c\/p\u003e\n\n\u003cp\u003eThe controversy between Hilbert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Gödel, including the latter's famous incompleteness paper.\u003c\/p\u003e\n\n\u003cp\u003eOf the forty-five contributions here collected, all but five are presented \u003ci\u003ein extenso\u003c\/i\u003e. Those not originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Unknown","offers":[{"title":"Default Title","offer_id":46854541181164,"sku":"9780674324497","price":102.99,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/0fb3f4830fc3f2749ef7accd3165643a.jpg?v=1759268843"}],"url":"https:\/\/bookhero.co.nz\/collections\/jean-van-heijenoort.oembed","provider":"Book Hero","version":"1.0","type":"link"}