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David Hilbert is one of the outstanding mathematicians of the twentieth century and probably the most influential. This book highlights Hilbert’s contributions to mathematics, putting them in their historical, social and cultural context. In doing so, particular attention is paid to Hilbert’s axiomatic method and his proposal for the foundations of mathematics, the so-called Hilbert’s program. The book also discusses the development of algebraic number theory, the theory of integral equations, modern algebra and the structural image of mathematics. In addition, it considers the famous list of Mathematical Problems presented in Paris in 1900, the mathematical tradition of the University of Göttingen, the great debate on the foundations of mathematics in the twenties between formalists and intuitionists, and, finally, Hilbert’s work on the theory of relativity and the foundations of quantum mechanics.The book will primarily appeal to an academic audience, although it will also be of interest to general-interest science readers.

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9781527523319

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Joan Roselló received his PhD from the University of Barcelona, Spain. He has written a number of articles and reviews, mainly on the history of logic and philosophy of mathematics, in journals such as Theoria and Tribuna Plural. In 2010, his essay “Els teoremes de Gödel i la incompletabilitat de les matemàtiques” [“Gödel’s Theorems and the Incompletability of Mathematics”] was awarded the Joaquim Carreras i Artau prize of the Institut d’Estudis Catalans (the Catalan Academy of Sciences and Humanities). In 2012, he published From Foundations to Philosophy of Mathematics. He is currently Associate Professor of Logic at the University of Barcelona, Director of the Section of Logic and Philosophy of Science of the Catalan Academy of Sciences and Humanities, and a member of the Social Council of the University of the Balearic Islands.

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