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Autor(en): 
  • Nick Haverkamp
  • Intuitionism vs. Classicism: A Mathematical Attack on Classical Logic 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht
     
    Lieferstatus:   i.d.R. innert 4-7 Tagen versandfertig
    Veröffentlichung:  Februar 2015  
    Genre:  Philosophie 
    ISBN:  9783465039068 
    EAN-Code: 
    9783465039068 
    Verlag:  Klostermann Vittorio GmbH 
    Einband:  Kartoniert  
    Sprache:  English  
    Dimensionen:  H 238 mm / B 157 mm / D 20 mm 
    Gewicht:  436 gr 
    Seiten:  269 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    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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