Strict Finitism and the Logic of Mathematical Applications

Edition en anglais

Feng Ye

Note moyenne 
Feng Ye - Strict Finitism and the Logic of Mathematical Applications.
pThis book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics... Lire la suite
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Résumé

pThis book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity).
The fact that so much applied mathematics can be developed within such a weak, strictly finitistic system, is surprising in itself. It also shows that the applications of those classical theories to the finite physical world can be translated into the applications of strict finitism, which demonstrates the applicability of those classical theories without assuming the literal truth of those theories or the reality of infinity.brbrBoth professional researchers and students of philosophy of mathematics will benefit greatly from reading this book./p

Caractéristiques

  • Date de parution
    01/07/2011
  • Editeur
  • Collection
  • ISBN
    9789400713468
  • EAN
    9789400713468
  • Présentation
    Cartonné
  • Poids
    0.565 Kg
  • Dimensions
    16,5 cm × 24,3 cm × 2,3 cm

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106,95 €