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An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice.
In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophicalProdukt Lectures on the Philosophy of Mathematics (Hamkins Joel David)(Paperback) má přiřazen EAN kód 9780262542234.
Kategorie | Knihy |
EAN | 9780262542234 |
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice
An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs. This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical
A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkersMathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers,
Philosophy of Existence was first presented to the public as a series of lectures invited by The German Academy of Frankfurt. In preparing these lectures Jaspers, whom the Nazis had already dismissed from his professorship at Heidelberg, knew that he was speaking in Germany for the last time
Hegel wrote this classic as an introduction to a series of lectures on the 'philosophy of history' -- a novel concept in the early nineteenth century. With this work, he created the history of philosophy as a scientific study. He reveals philosophical theory as neither an accident nor an artificial
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school
This unique book by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an
The Penguin Dictionary of Mathematics takes in all branches of pure and applied mathematics, from algebra to mechanics and from number theory to statistics. Invaluable for students at all levels, it is also a useful and versatile source book for economists, business people, engineers, technicians
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. This Element is a presentation of Wittgenstein's entire corpus of remarks on mathematics defending 'aspect realism'
This legal guide is a written version of lectures delivered before the Law School of Yale University as Storrs Lectures in the school year
It is time for philosophy to return to the city. In today's crisis-ridden world of globalised capitalism, increasingly closed in on itself, it may seem harder than ever to think of ways out. Philosophy runs the risk of becoming the handmaiden of science and of a hollowed-out democracy. Donatella Di
Papers based on selected lectures given at the Current Development Mathematics Conference, held in November 2017 at Harvard
As increasing numbers of people turn to alternative healing practices, this classic text on the science and art of homeopathic medicine remains ever relevant. Written at the turn of the twentieth century by a distinguished physician, its concepts of health and healing are still ahead of our time
Very Short Introductions: Brilliant, Sharp, Inspiring Philosophy of physics is concerned with the deepest theories of modern physics--notably quantum theory, our theories of space, time and symmetry, and thermal physics--and their strange, even bizarre conceptual implications. A deeper
For several terms at Cambridge in 1939, Ludwig Wittgenstein lectured on the philosophical foundations of mathematics. A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the
The Right and the Good, a classic of twentieth-century philosophy by the eminent scholar Sir David Ross, is now presented in a new edition with a substantial introduction by Philip Stratton-Lake, a leading expert on Ross. Ross's book is the pinnacle of ethical intuitionism, which was the dominant
This Very Short Introduction introduces readers to the key concepts of political philosophy: authority, democracy, freedom and its limits, justice, feminism, multiculturalism, and nationality. Accessibly written and assuming no previous knowledge of the subject, it encourages the reader to think
Hannah Arendt's last philosophical work was an intended three-part project entitled The Life of the Mind. Unfortunately, Arendt lived to complete only the first two parts, Thinking and Willing. Of the third, Judging, only the title page, with epigraphs from Cato and Goethe, was found after her
New formatted edition of Immanuel Kant's Metaphysics of Morals, republished by the MSAC Philosophy
One of the first comprehensive treatments of Deleuzian thought.There is always something schizophrenic about logic in Deleuze, which represents another distinctive characteristic: a deep perversion of the very heart of philosophy. Thus, a preliminary definition of Deleuze's philosophy emerges: an
Edexcel International GCSE Mathematics Student Book provides complete coverage of the 2009 Edexcel International GCSE specification, so you can be sure you and your students have all the material you need. For first teaching from September 2009 and first examination in
An exciting approach to the history and mathematics of number theory '. . . the author's style is totally lucid and very easy to read . . .the result is indeed a wonderful story.' --Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the