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The Interplay of Mathematics and Narrative
Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier--"Don't disturb my circles"--words that seem to refer to two radically different concerns: that of the practical person(particularly the square root of minus fifteen)
How the elusive imaginary number was first imagined, and how to imagine it yourselfImagining Numbers (particularly the square root of minus fifteen) is Barry Mazur's invitation to those who take delight in the imaginative work of reading poetry, but may have no background in math, to make a leap of the imagination in mathematics. Imaginary numbers entered into mathematics in sixteenth-centuryPhilosophy of Time: Thoughts and Deliberations
Since H.G.Well’s Time Machine, humans have greatly marveled at the prospects of time-travel. Einstein’s Theory of Relativity has now experimentally established that time is a physical dimension to which space is intrinsically connected. The famous Twin Paradox suggests that if a twin brother is put in a spacecraft to travel at a speed somewhat approximate to the speed of light; he may return afterSummary of Carl Boyer's History of the Calculus and its Conceptual Development
In this 309 page book, Carl Boyer takes the reader from the origins of mathematics, where soon geometry and arithmetic became widely used to measure "static" dimensions, to the gestation of calculus as the basic tool to measure "dynamic" events. This required the introduction of the graphic representation of the equations that represent physical events, and a fascinating debate about the rigorousEpistemology and Social Science
The essay "Epistemology and Social Science" was written by Professor Frithjof Bergmann in 1973. This remarkable work focuses on the question: Is a physics of social phenomena possible? As this work was never published before, Flow Zone Edition, in particular Thomas Staehelin, Katrin Steglich and Klaus Kampmann, are proud to publish this work of Frithjof Bergmann 40 years later in 2013.The Complete Guide to the Incompleteness Theorem
Berto’s highly readable and lucid guide introduces students and the interested reader to Gödel’s celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the Theorem in separate chapters Discusses interpretations of the Theorem madeThe Kingdom of Infinite Number
Just as bird guides help watchers tell birds apart by their color, songs, and behavior, The Kingdom of Infinite Number is the perfect handbook for identifying numbers in their native habitat. Taking a field guide-like approach, it offers a fresh way of looking at individual numbers and the properties that make them unique, which are also the properties essential for mental computation. The resultA Companion to the Philosophy of Time
Blackwell Companions to Philosophy (Book #154)
A Companion to the Philosophy of Time presents the broadest treatment of this subject yet; 32 specially commissioned articles - written by an international line-up of experts – provide an unparalleled reference work for students and specialists alike in this exciting field. The most comprehensive reference work on the philosophy of time currently available The first collection to tackle the