{"product_id":"axiomatic-thinking-ii-9783030777982","title":"Axiomatic Thinking II","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eResearchers reevaluate the success of Hilbert's axiomatic method, which laid the foundations for modern mathematics and found applications in physics, computer science, and elsewhere. The title is derived from Hilbert's 1917 talk, \"Axiomatisches Denken,\" which marked the beginning of his return to foundational studies and the establishment of proof theory. The contributions are addressed to mathematical and philosophical logicians, philosophers of science, physicists, and computer scientists. \u003c\/blockquote\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Hardback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 287 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 18 September 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eIn this comprehensive two-volume compilation, esteemed researchers reassess the remarkable success of David Hilbert's axiomatic method, which not only laid the foundational principles for our understanding of modern mathematics but also found applications in physics, computer science, and various other fields. The title derives from David Hilbert's seminal lecture, \"Axiomatisches Denken,\" delivered at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the commencement of Hilbert's return to his fundamental studies, culminating in the establishment of proof theory as a groundbreaking branch of mathematical logic. Moreover, Hilbert utilized this occasion to invite Paul Bernays back to Göttingen as his primary collaborator in foundational research endeavors in the years to follow.\u003cbr\u003e\u003cbr\u003eThe contributions in this collection are directed toward mathematical and philosophical logicians, as well as philosophers of science, physicists, and computer scientists with an interest in foundations. The articles explore various aspects of Hilbert's axiomatic method, its historical significance, and its ongoing impact on mathematics, physics, and related disciplines. They delve into the philosophical underpinnings of axiomatic systems, their mathematical foundations, and their applications in solving complex problems.\u003cbr\u003e\u003cbr\u003eThe first volume of the compilation focuses on the historical development and philosophical foundations of Hilbert's axiomatic method. It includes contributions from renowned scholars such as Kurt Gödel, Alfred Tarski, and B. L. van der Waerden, who provide insights into the philosophical ideas that shaped Hilbert's approach and its significance in the history of mathematics. The authors discuss the philosophical implications of axiomatic systems, their relation to intuition and experience, and the challenges they pose to traditional philosophical beliefs.\u003cbr\u003e\u003cbr\u003eThe second volume of the compilation explores the mathematical aspects of Hilbert's axiomatic method. It includes contributions from mathematicians such as David Hilbert, Richard Dedekind, and Henri Poincaré, who developed the formalism and techniques necessary for constructing axiomatic systems. The authors discuss the mathematical properties of axiomatic systems, their consistency and completeness, and the methods used to prove theorems within them. They also explore the applications of axiomatic systems in various fields, such as geometry, algebra, and number theory.\u003cbr\u003e\u003cbr\u003eOverall, this two-volume compilation serves as a valuable resource for scholars and researchers interested in the foundations of mathematics, physics, and computer science. It provides a comprehensive reassessment of Hilbert's axiomatic method, its historical significance, and its ongoing impact on these fields. The contributions offer insightful perspectives and innovative ideas that contribute to our understanding of the nature of mathematics, science, and the universe.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 623g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030777982\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2022\u003c\/p\u003e","brand":"Shulph Ink","offers":[{"title":"Hardback","offer_id":44282941341946,"sku":"9783030777982","price":83.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_07fe8a8c-15f0-4e0b-b79b-e2308e30b938.jpg?v=1686916526","url":"https:\/\/shulphink.com\/products\/axiomatic-thinking-ii-9783030777982","provider":"Shulph Ink","version":"1.0","type":"link"}