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This book casts a new light on Bertrand’s 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.
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This book presents Gödel’s incompleteness theorems and the other limitative results which are most significant for the philosophy of mathematics. The text is self-contained, all... Læs mere
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This book focuses on the lives and writings of some of history’s most influential mathematicians, and the impact that their mystical beliefs had on their lives and on their mathematical work.
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This book offers a fresh approach to mathematical problem solving via lateral thinking. This book is appropriate for interested high school students,... Læs mere
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This book examines positions that challenge the Fregean logic-first view. It will be a resource for academics, researchers, and advanced students of philosophy, linguistics, mathematics, and computer science.
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This book analyses the role of diagrammatic reasoning in Plato’s philosophy: the readers will realize that Plato, describing the stages of human cognitive development using a diagram, poses a logic problem to stimulate the general reasoning abilities of his readers.
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Are there moral facts? Are there mathematical facts? Many say yes to the latter but no to the former. Justin Clarke-Doane argues that the situation is much more subtle: although... Læs mere
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One of the most unfathomable mysteries of quantum physics... could the answer be much closer than ever we thought?
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This is the first book on cryptoeconomics written from an academic perspective, reviewing research challenges and existing literature. It... Læs mere
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This book deals with the evolution of mathematical thought during the 20th century. Another conception of mathematical thought emerged in the work of mathematicians such as Hilbert or Weyl, which went beyond the narrow epistemological paths of science in the making.