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Springer - Brouwer meets Husserl: On the Phenomenology of Choice Sequences

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Description

Explore the deep connections between mathematics and philosophy in Brouwer meets Husserl: On the Phenomenology of Choice Sequences. This volume from the Synthese Library investigates the fundamental nature of continuity and the mathematical concept of time-dependent objects. L.E.J. Brouwer proposed a revolutionary way to look at mathematics by introducing the choice sequence. This concept addresses whether a straight line can be analyzed without reducing it to a set of discrete points, thereby preserving its essential continuity. This book examines Brouwer's arguments and the objections raised by other mathematicians and philosophers regarding these unique mathematical objects. Designed for scholars and students of mathematical logic and philosophy, this work provides a rigorous look at how choice sequences challenge traditional views of mathematical objects. It serves as a vital resource for understanding the intersection of mathematical foundations and phenomenological thought.

Key Features

Examines the mathematical concept of choice sequences introduced by L.E.J. Brouwer to address questions of continuity.

Investigates the relationship between the analysis of straight lines and the preservation of fundamental continuity.

Explores the philosophical implications of mathematical objects that can change through time.

Provides a detailed look at the historical objections raised by mathematicians and philosophers regarding Brouwer's work.

Part of the respected Synthese Library series, specifically volume 335, focused on mathematical foundations and logic.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
09 November 2006
Listed Since
19 February 2007

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