, Volume 29, Issue 3, pp 251-253
Date: 09 Dec 2012

Stefania Centrone: Logic and Philosophy of Mathematics in the Early Husserl

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Stefania Centrone’s book provides an in-depth analysis and interpretation of Edmund Husserl’s early work, from the publication of the Philosophy of Arithmetic (1891) to that of the Logical Investigations (1900/1901). The book consists of three long chapters, respectively discussing Husserl’s first book, the Philosophy of Arithmetic, the idea of pure logic in the Prolegomena, and the problem of the imaginary in mathematics, which was the topic of Husserl’s 1901 “Double Lecture” for the mathematical society in Göttingen. Each chapter is followed by a number of article-length appendixes that focus in great detail on a specific issue or text, such as the definition of computable functions and Husserl’s 1896 lectures on logic.

Centrone focuses especially on what she considers to be Husserl’s most “original and surprisingly innovative” contributions to the philosophy of logic and mathematics of his time:

the articulation of formal logic in logical levels according to a structure that is very c ...