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Intuitionism vs. Classicism

A Mathematical Attack on Classical Logic

Studies in Theoretical Philosophy 2

In the early twentieth century, the Dutch mathematician L.E.J. Brouwer launched a powerful attack on the prevailing mathematical methods and theories. He developed a new kind of constructive mathematics, called intuitionism, which seems to allow for a rigorous refutation of widely accepted mathematical assumptions including fundamental principles of classical logic. Following an intense mathematical debate esp. in the 1920s, Brouwer's revolutionary criticism became a central philosophical concern in the 1970s, when Michael Dummett tried to substantiate it with meaning-theoretic considerations. Since that time, the debate between intuitionists and classicists has remained a central philosophical dispute with far-reaching implications for mathematics, logic, epistemology, and semantics.
In this book, Nick Haverkamp presents a detailed analysis of the intuitionistic criticism of classical logic and mathematics. The common assumption that intuitionism and classicism are equally legitimate enterprises corresponding to different understandings of logical or mathematical expressions is investigated and rejected, and the major intuitionistic arguments against classical logic are scrutinised and repudiated. Haverkamp argues that the disagreement between intuitionists and classicists is a fundamental logical and mathematical dispute which cannot be resolved by means of meta-mathematical, epistemological, or semantic considerations.

Portrait

Nick Haverkamp ist wissenschaftlicher Mitarbeiter am Philosophischen Seminar der Universität Mainz.

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Beschreibung

Produktdetails


Einband Taschenbuch
Seitenzahl 270
Erscheinungsdatum Januar 2015
Sprache Englisch
ISBN 978-3-465-03906-8
Verlag Klostermann
Maße (L/B/H) 23,8/15,7/2 cm
Gewicht 436 g
Auflage 1. 2015
Buch (Taschenbuch, Englisch)
34,00
inkl. gesetzl. MwSt.
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