The Origin of the Logic of Symbolic Mathematics: Edmund Husserl and Jacob Klein - Studies in Continental Thought (Hardback)Burt C. Hopkins (author)
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Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts-especially mathematical concepts and the process of mathematical abstraction that generates them-have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.
Publisher: Indiana University Press
Number of pages: 592
Weight: 953 g
Dimensions: 229 x 152 x 43 mm
This much needed book should go a long way both toward correcting the under-appreciation of Jacob Klein's brilliant work on the nature and historical origin of modern symbolic mathematics, and toward eliciting due attentio to the significance of that work for our interpretation of the modern scientific view of the world. * Notre Dame Philosophical Reviews *
The Origin of the Logic of Symbolic Mathematics initiates a radical clarification of Francois Vieta's 17th century mathematical introduction of the formal-symbolic, which marks the revolution that made and continues to make possible modern mathematics and logic. Through a philosophically subtle, clarifying, and exacting elaboration of Jacob Klein's Greek Mathematical Thought and the Origin of Algebra, Hopkins reveals flaws (and strengths) in Edmund Husserl's thinking about numbers, the formal-symbolic, and the phenomenological foundation of the mathesis universalis. -- Robert Tragesser * Author of Phenomenology and Logic and Husserl and Realism in Logic and Mathematics *
The Origin of the Logic of Symbolic Mathematics is a very important work. From an exegetical point of view it presents careful readings of an amazing amount of texts by Plato, Aristotle, Diophantus, Vieta, Stevin, Wallis, and Descartes and shows at the same time a profound knowledge of Husserl's earlier and later texts . . . . * History and Philosophy of Logic *
This book serves not only as the first major contribution to scholarship on the thought of Jacob Klein, but also as a significant contribution to that of Husserl as well. * The Review of Metaphysics *
[The Origin of the Logic of Symbolic Mathematics] contains a very precise thesis and claim, which can only be tackled by applying the technical terms and methods from the tradition in which it originated.June 2014 * Philosophia Mathematica *
Hopkins brings all of the myriad concepts of Klein's analysis of the origins of logic and symbolic mathematics into play as he elucidates the significance of the roles algebra, logic, and symbolic analysis generally have played in the development of modern mathematics * Mathematical Reviews *
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