Labyrinth of Thought

Labyrinth of Thought
Author: Jose Ferreiros
Publisher: Springer Science & Business Media
Total Pages: 472
Release: 2001-11-01
Genre: Mathematics
ISBN: 9783764357498

"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)

Enlightening Symbols

Enlightening Symbols
Author: Joseph Mazur
Publisher: Princeton University Press
Total Pages: 311
Release: 2014-03-23
Genre: Mathematics
ISBN: 1400850118

An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

A Brief History of Mathematical Thought

A Brief History of Mathematical Thought
Author: Luke Heaton
Publisher: Oxford University Press
Total Pages: 337
Release: 2017
Genre: History
ISBN: 0190621761

A compelling and readable book that situates mathematics in human experience and history.

The Development of Mathematics

The Development of Mathematics
Author: E. T. Bell
Publisher: Courier Corporation
Total Pages: 657
Release: 2012-09-11
Genre: Mathematics
ISBN: 0486152286

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Deleuze and the History of Mathematics

Deleuze and the History of Mathematics
Author: Simon Duffy
Publisher: A&C Black
Total Pages: 225
Release: 2013-05-09
Genre: Philosophy
ISBN: 1441113894

Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon B.Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

The Hibbert Journal

The Hibbert Journal
Author: Lawrence Pearsall Jacks
Publisher:
Total Pages: 894
Release: 1905
Genre: Philosophy
ISBN:

A quarterly review of religion, theology, and philosophy.