Matematikens filosofi

'A hugely entertaining and well-written tour of the links between math and literature. Hart's lightness of touch and passion for both subjects make this book a delight to read. Bookworms and number-lovers alike will discover much they didn't know ...

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Written by one of the preeminent researchers in the field, this book provides a comprehensive exposition of modern analysis of causation. It shows how causality has grown from a nebulous concept into a mathematical theory with significant applicat...

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Mathematical Principles of Natural Philosophy, often known as the Principia, is one of the most important scientific works ever to have been written and has had a profound impact on modern science. Consisting of three separate books, the Principia...

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From the Introduction. In 1931 there appeared in a German scientific periodical a relatively short paper with the forbidding title ""Uber formal unentscheidbare Satze der Principia Mathematica und verwandter Systeme"" ("&q...

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A foundational work on historical and social studies of quantification What accounts for the prestige of quantitative methods? The usual answer is that quantification is desirable in social investigation as a result of its successes in science. Tr...

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Luciano Floridi unpacks this fundamental concept - what information is, how it is measured, its value and meaning - cutting across the sciences and humanities, from DNA to the Internet, and the ethical issues related to privacy, copyright, and acc...

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Descartes's Meditations on First Philosophy remains one of the most widely studied works of Western philosophy. This volume is a refreshed and updated edition of John Cottingham's bestselling 1996 edition, based on his translation in the acclaimed...

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A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosoph...

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Quadratic equations, Pythagoras' theorem, imaginary numbers, and pi - you may remember studying these at school, but did anyone ever explain why? Never fear - bestselling science writer, and your new favourite maths teacher, Michael Brooks, is her...

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Our finances, politics, media, opportunities, information, shopping and knowledge production are mediated through algorithms and their statistical approaches to knowledge; increasingly, these methods form the organizational backbone of contemporar...

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To Infinity and Beyond explores the idea of infinity in mathematics and art. Eli Maor examines the role of infinity, as well as its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on ...

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An unabridged, unaltered printing of the Second Edition (1920), with original format, all footnotes and index: The Series of Natural Numbers - Definition of Number - Finitude and Mathematical Induction - The Definition of Order - Kinds of Relation...

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A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholars Mathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears ...

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Celestial Tapestry reveals many remarkable tales, including: the secret message in a masterpiece from the court of Henry VIII; the ancient Chinese book of divination that gave us binary numbers; the connection between astrology, religion and the A...

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Stewart Shapiro presents a distinctive original view of the foundations of mathematics, arguing that second-order logic has a central role to play in laying these foundations. He gives an accessible account of second-order and higher-order logic, ...

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When Kurt Gdel published his celebrated theorem, showing that no axiomatization can determine the whole truth and nothing but the truth concerning arithmetic, it had a profound impact on mathematical ideas and philosophical thought. Adrian Moore p...

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From cells in our bodies to measuring the universe, big numbers are everywhere We all know that numbers go on forever, that you could spend your life counting and never reach the end of the line, so there can't be such a thing as a 'biggest number...

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This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms...

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Patterns in Mathematics Classroom Interaction describes, exemplifies and considers the implications of patterns and structures of mathematics classroom interaction.

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The Man Who Knew Infinity is the true story of a friendship between Srinivasa Ramanujan and G.H. Hardy that forever changed mathematics. In 1913, a young unschooled Indian clerk wrote a letter to G H Hardy, begging the pre-eminent English mathemat...

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Matematiken i sina senaste utvecklingsfaser är en angelägenhet för ett fåtal specialister. Långt fler berörs av den som arbetsredskap eller undervisningsämne, men det finns också aspekter av matematiken som angår och påverkar oss alla. Matematiska...

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Uncertainty is everywhere. It lurks in every consideration of the future - the weather, the economy, the sex of an unborn child - even quantities we think that we know such as populations or the transit of the planets contain the possibility of er...

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One of the greatest accomplishments in the history of cryptography occurred in 1940 when a Swedish mathematician broke the German code used for strategic military communications. This is the story of Arne Beurling's wartime achievement.

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THE INTERNATIONAL BESTSELLER 'An entertaining tour that will change how you see the world' Sean Carroll, author of Something Deeply Hidden Is there a secret formula for improving your life? For making something a viral hit? For deciding how long t...

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This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century ...

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Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers ...

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This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on ...

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Scientific and philosophical literature on causality has become highly specialised. It is hard to find suitable access points for students, young researchers, or professionals outside this domain. This book provides a guide to the complex literatu...

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Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe...

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