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Calculus --- 517.1 --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Mathematical analysis --- Functions --- Geometry, Infinitesimal --- Introduction to analysis --- Calculus. --- 517.1 Introduction to analysis

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Mathematics --- Dictionaries --- 33 --- 51 <038> --- -Math --- Science --- Economie. Economische wetenschappen. Staatshuishoudkunde --(algemeen) --- Mathematics--Vertaalwoordenboeken --- Dictionaries. --- -Economie. Economische wetenschappen. Staatshuishoudkunde --(algemeen) --- 51 <038> Mathematics--Vertaalwoordenboeken --- 33 Economie. Economische wetenschappen. Staatshuishoudkunde --(algemeen) --- Mathematics - Dictionaries

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Mathematical Cosmology and Extragalactic Astronomy

Cosmology --- Astronomy --- Cosmology. --- Mathematics. --- Deism --- Metaphysics --- 524.8 --- 530.12 --- 530.12 Relativity principle --- Relativity principle --- 524.8 The Universe. Metagalaxy. Cosmology --- The Universe. Metagalaxy. Cosmology --- Mathematics

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512.62 --- Algebraic fields --- Field extensions (Mathematics) --- Extension fields (Mathematics) --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Fields. Polynomials --- 512.62 Fields. Polynomials

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Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

-Algebra of logic --- Logic, Symbolic and mathematical --- Mathematics --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Math --- Philosophy --- Logic, Symbolic and mathematical. --- Philosophy. --- Logique symbolique et mathématique --- Mathématiques --- Philosophie --- Algebra of logic --- Logic of mathematics --- Mathematics, Logic of --- Logic, symbolic and mathematical --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logique mathématique --- Arts and Humanities --- Mathematics - Philosophy --- Logique mathematique --- Theorie de la preuve