Objectivity, Realism, and Proof

FilMat Studies in the Philosophy of Mathematics

Nonfiction, Religion & Spirituality, Philosophy, Logic, Science & Nature, Science, Other Sciences, Philosophy & Social Aspects
Cover of the book Objectivity, Realism, and Proof by , Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783319316444
Publisher: Springer International Publishing Publication: July 5, 2016
Imprint: Springer Language: English
Author:
ISBN: 9783319316444
Publisher: Springer International Publishing
Publication: July 5, 2016
Imprint: Springer
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

More books from Springer International Publishing

Cover of the book Early Childhood and Development Work by
Cover of the book Infiltration Measurements for Soil Hydraulic Characterization by
Cover of the book Designing Better Services by
Cover of the book Engaging First Peoples in Arts-Based Service Learning by
Cover of the book Ethnoprimatology by
Cover of the book Transmissions in Dance by
Cover of the book Obstetrics Essentials by
Cover of the book Women’s Colonial Gothic Writing, 1850-1930 by
Cover of the book The Southern African Development Community (SADC) and the European Union (EU) by
Cover of the book Global Governance of Intellectual Property in the 21st Century by
Cover of the book Reducing Mortality in Acute Kidney Injury by
Cover of the book Emergent Computation by
Cover of the book The Balkan Wars from Contemporary Perception to Historic Memory by
Cover of the book Drugs and Social Context by
Cover of the book Seventeenth-Century Indivisibles Revisited by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy