By Jean-Pierre Marquis
From a geometric viewpoint explores old and philosophical elements of type idea, attempting therewith to show its importance within the mathematical panorama. the most thesis is that Klein’s Erlangen application in geometry is in reality a specific example of a common and vast phenomenon printed by way of class conception. the amount begins with Eilenberg and Mac Lane’s paintings within the early 1940’s and follows the most important advancements of the idea from this angle. specific consciousness is paid to the philosophical parts fascinated about this improvement. The ebook ends with a presentation of express common sense, a few of its effects and its importance within the foundations of mathematics.
From a geometric standpoint goals to supply its readers with a conceptual point of view on classification idea and express good judgment, so as to achieve perception into their function and nature in modern arithmetic. it's going to be of curiosity to mathematicians, logicians, philosophers of arithmetic and technology mostly, historians of latest arithmetic, physicists and machine scientists.
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Extra resources for From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory: 14 (Logic, Epistemology, and the Unity of Science)
From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory: 14 (Logic, Epistemology, and the Unity of Science) by Jean-Pierre Marquis