[Télécharger] Defending the Axioms: On the Philosophical Foundations of Set Theory de Penelope Maddy Pdf Ebook

Télécharger Defending the Axioms: On the Philosophical Foundations of Set Theory de Penelope Maddy Pdf Epub

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Télécharger "Defending the Axioms: On the Philosophical Foundations of Set Theory" de Penelope Maddy Pdf Epub

Auteur : Penelope Maddy
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais

Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments.

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Defending the Axioms: On the Philosophical Foundations of ~ For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes .

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Penelope Maddy - University of California, Irvine ~ My work began from methodological questions in the foundations of set theory, especially how new axioms can be properly criticized or defended. This focused inquiry has led to more general questions in the metaphysics and epistemology of mathematics and logic, and the relations of these subjects to natural science. Progress on all this seemed to me to require some attention to the methodology .

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