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Book Cover
E-book
Author Carruccio, Ettore

Title Mathematics and Logic in History and in Contemporary Thought
Published Somerset : Taylor and Francis, 2006

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Description 1 online resource (399 pages)
Contents Cover; Half Title; Title; Copyright; Contents; I. The Meaning, Purpose and Methods of the History of Mathematics and of Logic page; II. Pre-Hellenic Mathematics; III. Greek Mathematics before Euclid; IV. The Logic of Aristotle; V. Euclid's Elements in Hellenistic culture; VI. Infinitesimal Methods in Classical Times: Archimedes; VII. Introduction to Higher Geometry: Apollonius and His Followers; VIII. Mathematics in the Roman World; IX. The Decline of Ancient Science; X. Mathematics and Logic in the Middle Ages; XI. The Mathematical Renaissance and the Algebraists
XII. Origins of Analytical Geometry and Cartesian Rationalism: Vico's GnoseologyXIII. Modern Infinitesimal Analysis and the Philosophical Thought of its Constructors; XIV. From the Origins of Projective Geometry to the Development of the Erlanger Programme; XV. Criticism of Euclid's Postulate V: Non-Euclidean Geometries; XVI. Combinatorial Analysis and Calculus of Probability; XVII. Sets, Functions, Curves, Non-Archimedean Geometries; XVIII. Symbolic Logic and the Fundamentals of Arithmetic; XIX. Hypothetical-Deductive Systems, Non-Contradictoriness, Antinomies
XX. Problems of Contemporary LogicBibliography; Index
Notes Print version record
Subject Mathematics -- History
Mathematics -- Philosophy.
Logic -- History
Logic
Mathematics
Mathematics -- Philosophy
Genre/Form History
Form Electronic book
Author Quigly, Isabel
ISBN 9781351506625
1351506625