Logic and Philosophy of Mathematics in the Early Husserl
(Sprache: Englisch)
This text focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic to that of Logical Investigations. It aims to locate this work in the fields of logic, philosophy of logic and philosophy of mathematics.
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This text focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic to that of Logical Investigations. It aims to locate this work in the fields of logic, philosophy of logic and philosophy of mathematics.
Klappentext zu „Logic and Philosophy of Mathematics in the Early Husserl “
Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl's early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl's logico-mathematical work.
Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl's early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl's logico-mathematical work.
The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl's Nachlaß that have not yet been the object of systematical scrutiny.
This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.
The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl's Nachlaß that have not yet been the object of systematical scrutiny.
This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.
Inhaltsverzeichnis zu „Logic and Philosophy of Mathematics in the Early Husserl “
Philosophy of Arithmetic.- The Idea of Pure Logic.- The Imaginary in Mathematics.
Autoren-Porträt von Stefania Centrone
Stefania Centrone obtained her master degree in Philosophy at the University of Florence. She was a PhD student at the Scuola Normale Superiore in Pisa, where she defended her doctoral dissertation in 2004. She was then awarded post-doctoral research grants at the Scuola Normale Superiore in Pisa until 2008. Since January 2009, Stefania Centrone has a two-year Alexander-von-Humboldt fellowship for research on Logical Objectivism, Inference and Foundational Proof in Bernard Bolzano's 'Wissenschaftslehre' at the Philosophy Department of the University of Hamburg. She has given contributed talks at various workshops and conferences all over Europe, as well as invited talks at the Universities of Dublin, Koeln and Genève.
Bibliographische Angaben
- Autor: Stefania Centrone
- 2009, 232 Seiten, Maße: 16,4 x 24,2 cm, Gebunden, Englisch
- Verlag: Springer Netherland
- ISBN-10: 9048132452
- ISBN-13: 9789048132454
Sprache:
Englisch
Rezension zu „Logic and Philosophy of Mathematics in the Early Husserl “
From the reviews: "Edmund Husserl is generally known as the philosopher who introduced the phenomenological method in philosophy. ... He developed a philosophy of arithmetic in which he discussed the concepts of number and set. It contains valuable insights and he has, for example, what is essentially the notion of a partially recursive function. ... her book is a welcome contribution to our further understanding of a very exciting period in the history of the foundations of mathematics." (Teun Koetsier, Zentralblatt MATH, Vol. 1196, 2010)
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