Objectivity, Realism, and Proof

Name: Objectivity, Realism, and Proof
Brand: Springer International Publishing AG
SKU: 9783319316420
Price: 738.63 RON
Availability: InStock

FilMat Studies in the Philosophy of Mathematics

Autor: Francesca Boccuni, Andrea Sereni

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Legare: Copertă tare

Editura: Springer International Publishing AG

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738.63 lei

This volume covers a wide range of topics in the most recent debates in the philosophy of mathematic...

Informații despre carte

Autor

Francesca Boccuni, Andrea Sereni

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2016

Pagini

344

EAN

9783319316420

ISBN

9783319316420

Enbook ID

10034972

Editura

Springer International Publishing AG

Greutate

6978

Dimensiuni

155 x 235 x 27

Descriere completă

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.§§

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Objectivity, Realism, and Proof

FilMat Studies in the Philosophy of Mathematics

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