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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
How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions
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
Part history, part philosophy, part love letter to the study of mathematics, Everything and More is an illuminating tour of infinity. With his infectious curiosity and trademark verbal pyrotechnics, David Foster Wallace takes us from Aristotle to Newton, Leibniz, Karl Weierstrass, and finally Georg
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
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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
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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
The premier political philosopher of his day, John Rawls, in three decades of teaching at Harvard, has had a profound influence on the way philosophical ethics is approached and understood today. This book brings together the lectures that inspired a generation of students--and a regeneration of
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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
The last lecture on leadership by the NFL's greatest coach: Bill Walsh Bill Walsh is a towering figure in the history of the NFL. His advanced leadership transformed the San Francisco 49ers from the worst franchise in sports to a legendary dynasty. In the process, he changed the way football is
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