Ettore Carruccio, Isabel Quigly

Mathematics and Logic in History and in Contemporary Thought (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Covering the evolution of mathematics since the ancient times, this work observes the changes that have taken place in the conception of rational theory. It places emphasis on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 400
• Erscheinungstermin: 29. September 2017
• Englisch
• ISBN-13: 9781351506618
• Artikelnr.: 68416510

Autorenporträt

Ettore Carruccio, Isabel Quigly

Inhaltsangabe

I. The Meaning, Purpose and Methods History of Mathematics and of Logic 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 Archimedes of the page Times: 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 Gnoseology
XIII. 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-Archimedeau Geometries
XVIII. Symbolic Logic and the Fundamentals of Arithmetic XIX.
Hypothetical-Deductive Systems, Non-Contradictoriness, Antinomies XX.
Problems of Contemporary Logic