Objectivity, Realism, and Proof

FilMat Studies in the Philosophy of Mathematics

Francesca Boccuni, Andrea Sereni


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This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge.

The essays collected here  explore  the semantic and epistemic problems raised by different kinds of mathematical objects, by their characterization in terms of axiomatic theories, and by the objectivity of both pure and applied mathematics. They investigate controversial aspects of contemporary theories such as neo-logicist abstractionism, structuralism, or multiversism about sets, by discussing different conceptions of mathematical realism and rival relativistic views on the mathematical universe.  They consider fundamental philosophical notions such as set, cardinal number, truth, ground,  finiteness and infinity, examining  how their informal conceptions can best be captured in formal theories.

The philosophy of mathematics is an extremely lively  field of inquiry, with extensive reaches in disciplines such as logic and philosophy of logic, semantics, ontology, epistemology, cognitive sciences, as well as history and philosophy of mathematics and science. By bringing together well-known scholars and younger researchers, the essays in this collection – prompted by the meetings of the Italian Network for the Philosophy of Mathematics (FilMat) – show how much valuable research is currently being pursued in this area, and how many roads ahead are still open for promising solutions to long-standing philosophical concerns.

Promoted by the Italian Network for the Philosophy of Mathematics – FilMat



Détails
Auteur
Francesca  Boccuni , Andrea  Sereni
Marque
Springer
Collection
Boston Studies in the Philosophy and History of Science
Parution
2016-07-05
Pages
344 pages
EAN papier
9783319316420
Langue
Anglais
Informations ebook
EAN EPUB
9783319316444
Prix
126,59 €
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Nb pages copiables 3
Nb pages imprimables 34
Taille du fichier 2386 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
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Auteur(s) du livre


Defaut-Illustration Francesca Boccuni
Defaut-Illustration Andrea Sereni
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