Objectivity, Realism, And Proof: Filmat Studies In The Philosophy Of Mathematics (boston Studies In The Philosophy And History Of Science)
by Andrea Sereni /
2016 / English / PDF
3.6 MB Download
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.
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 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.
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
Promoted by the Italian Network for the Philosophy of
Mathematics – FilMat
