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Lectures on the Philosophy of Mathematics

2021-03-09 Mathematics
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Release : 2021-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 234/5 ( reviews)

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Book Synopsis Lectures on the Philosophy of Mathematics by : Joel David Hamkins

Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins. This book was released on 2021-03-09. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science

2021-05-10 Philosophy
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Release : 2021-05-10
Genre : Philosophy
Kind : eBook
Book Rating : 117/5 ( reviews)

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Book Synopsis LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science by : Andrea Iacona

Download or read book LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science written by Andrea Iacona. This book was released on 2021-05-10. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students. This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers, undergraduates and graduates in mathematics, computer science or related fields in which logic is required.

Philosophy of Mathematics

1984-01-27 Science
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Release : 1984-01-27
Genre : Science
Kind : eBook
Book Rating : 133/5 ( reviews)

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Book Synopsis Philosophy of Mathematics by : Paul Benacerraf

Download or read book Philosophy of Mathematics written by Paul Benacerraf. This book was released on 1984-01-27. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

An Introduction to the Philosophy of Mathematics

2012-06-14 Mathematics
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Release : 2012-06-14
Genre : Mathematics
Kind : eBook
Book Rating : 020/5 ( reviews)

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Book Synopsis An Introduction to the Philosophy of Mathematics by : Mark Colyvan

Download or read book An Introduction to the Philosophy of Mathematics written by Mark Colyvan. This book was released on 2012-06-14. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating journey through intriguing mathematical and philosophical territory - a lively introduction to this contemporary topic.

Popular Lectures on Mathematical Logic

2014-09-22 Mathematics
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Release : 2014-09-22
Genre : Mathematics
Kind : eBook
Book Rating : 043/5 ( reviews)

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Book Synopsis Popular Lectures on Mathematical Logic by : Hao Wang

Download or read book Popular Lectures on Mathematical Logic written by Hao Wang. This book was released on 2014-09-22. Available in PDF, EPUB and Kindle. Book excerpt: Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.

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