Mathematics and the Metaphysicians

Mathematics and the Metaphysicians

In this book, Russell explores the relationship between mathematics and metaphysics, arguing that mathematics is a tool for understanding the world, rather than a reflection of it. He examines the nature of mathematical truth and the role of intuition in mathematical reasoning. Through a series of essays and lectures, Russell challenges traditional views on the nature of mathematics and its relationship to reality, offering a new perspective on the subject.

By Bertrand Russell · First published 1911 · Genre: Philosophy, Mathematics, Non-Fiction · 8,377 words

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The nineteenth century, which prided itself upon the invention of steam and evolution, might have derived a more legitimate title to fame from the discovery of pure mathematics. This science, like most others, was baptised long before it was born; and thus we find writers before the nineteenth century alluding to what they called pure mathematics. But if they had been asked what this subject was, they would only have been able to say that it consisted of Arithmetic, Algebra, Geometry, and so on. As to what these studies had in common, and as to what distinguished them from applied mathematics, our ancestors were completely in the dark.

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Philosophy of mathematics · Metaphysics · Logic · Mathematical logic · Fundamentals of mathematics · Mathematical philosophy · Symbolic logic · Classical logic · Modern logic · Propositional calculus · Predicate calculus · Set theory

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