eBook - PDF
Mathematics and Logic in History and in Contemporary Thought
Ettore Carruccio,Isabel Quigly
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- 400 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Mathematics and Logic in History and in Contemporary Thought
Ettore Carruccio,Isabel Quigly
Book details
Table of contents
Citations
About This Book
This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed 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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Information
Table of 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 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-Archimedean Geometries
- XVIII. Symbolic Logic and the Fundamentals of Arithmetic
- XIX. Hypothetical-Deductive Systems, Non-Contradictoriness, Antinomies
- XX. Problems of Contemporary Logic
- Bibliography
- Index
Citation styles for Mathematics and Logic in History and in Contemporary Thought
APA 6 Citation
Carruccio, E., & Quigly, I. (2017). Mathematics and Logic in History and in Contemporary Thought (1st ed.). Taylor and Francis. Retrieved from https://www.perlego.com/book/1610661/mathematics-and-logic-in-history-and-in-contemporary-thought-pdf (Original work published 2017)
Chicago Citation
Carruccio, Ettore, and Isabel Quigly. (2017) 2017. Mathematics and Logic in History and in Contemporary Thought. 1st ed. Taylor and Francis. https://www.perlego.com/book/1610661/mathematics-and-logic-in-history-and-in-contemporary-thought-pdf.
Harvard Citation
Carruccio, E. and Quigly, I. (2017) Mathematics and Logic in History and in Contemporary Thought. 1st edn. Taylor and Francis. Available at: https://www.perlego.com/book/1610661/mathematics-and-logic-in-history-and-in-contemporary-thought-pdf (Accessed: 14 October 2022).
MLA 7 Citation
Carruccio, Ettore, and Isabel Quigly. Mathematics and Logic in History and in Contemporary Thought. 1st ed. Taylor and Francis, 2017. Web. 14 Oct. 2022.