Könyv Intuitionism vs. Classicism Nick Haverkamp

Intuitionism vs. Classicism

A Mathematical Attack on Classical Logic

Szerző: Nick Haverkamp
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Klostermann
Elérhetőség: 50 % esély
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12 748 Ft
In the early twentieth century, the Dutch mathematician L.E.J. Brouwer launched a powerful attack on...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2015
oldal
270
EAN
9783465039068
ISBN
3465039068
Enbook ID
09159849
Kiadó
Súly
431
Méretek
156 x 235 x 17

Teljes leírás

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.

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