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Articulating the nature of such spaces involves some deep mathematics and that is perhaps why the recent literature on Bertrand’s Paradox has been almost entirely from mathematicians and physicists, who have often deployed elegant mathematics of considerable sophistication. At the same time, the philosophy of probability has been left out. In particular, left out entirely are the philosophical ground of the principle of indifference, the nature of the principle itself, the stringent constraint this places on the mathematical representation of the principle needed for its application to continuum sized event spaces, and what these entail for rigour in developing the paradox itself. This book puts the philosophy and its entailments back in and in so doing casts a new light on the paradox, giving original analyses of the paradox, its possible solutions, the source of the paradox, the philosophical errors we make in attempting to solve it and what the paradox proves for the philosophy of probability. The book finishes with the author’s proposed solution—a solution in the spirit of Bertrand’s, indeed—in which an epistemic principle more general than the principle of indifference offers a principled restriction of the domain of the principle of indifference.  Bertrand's Paradox and the Principle of Indifference will appeal to scholars and advanced students working in the philosophy of mathematics, epistemology, philosophy of science, probability theory and mathematical physics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52598431809809,"sku":"NLS9781032597935","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781032597935.jpg?v=1761076094"},{"product_id":"naturalizing-logico-mathematical-knowledge-book-sorin-bangu-9781138244108","title":"Naturalizing Logico-Mathematical Knowledge","description":"What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science? The essays in this collection tackle this important philosophical query from the perspective of cognitive psychology and neuroscience.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52615654637841,"sku":"NLS9781138244108","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781138244108.jpg?v=1761524769"},{"product_id":"einstein-tagore-and-the-nature-of-reality-book-partha-ghose-9781138685246","title":"Einstein, Tagore and the Nature of Reality","description":"The nature of reality has been a long-debated issue among scientists and philosophers. In 1930, Rabindranath Tagore and Albert Einstein had a long conversation on the nature of reality. This conversation has been widely quoted and discussed by scientists, philosophers and scholars from the literary world. The important question that Tagore and Einstein discussed was whether the world is a unity dependent on humanity, or the world is a reality independent on the human factor. Einstein took the stand adopted by Western philosophers and mathematicians, namely that reality is something independent of the mind and the human factor. Tagore, on the other hand, adopted the opposite view. Nevertheless, both Einstein and Tagore claimed to be realists despite the fundamental differences between their conceptions of reality. Where does the difference lie? Can it be harmonized at some deeper level? Can Wittgenstein, for example, be a bridge between the two views? This collection of essays explores these two fundamentally different conceptions of the nature of reality from the perspectives of theories of space-time, quantum theory, general philosophy of science, cognitive science and mathematics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52653949845777,"sku":"NLS9781138685246","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781138685246.jpg?v=1762213777"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/routledge-studies-in-the-philosophy-of-mathematics-and-physics-book-series.oembed","provider":"World of Books ","version":"1.0","type":"link"}