The Philosophy of Mathematics Today
Author Description
This comprehensive volume gives a panorama of the best current work in this lively field, through twenty specially written essays by the leading figures in the field. All essays deal with foundational issues, from the nature of mathematical knowledge and mathematical existence to logical consequence, abstraction, and the notions of set and natural number. The contributors also represent and criticize a variety of prominent approaches to the philosophy of mathematics, including platonism, realism, normalism, constructivism, and formalism.
Menrva's Summary
THE THESIS
This volume investigates the fundamental ontological and epistemological questions defining contemporary mathematical philosophy. Matthias Schirn compiles twenty original essays from prominent scholars to examine the nature of mathematical existence and the validity of logical systems. The text provides a rigorous framework for analyzing how mathematical knowledge is constructed and justified within modern discourse.
THE SCOPE MAP
What You Will Find
- Analysis of foundational concepts including set theory and the nature of natural numbers
- Critical evaluations of major philosophical schools such as platonism, realism, nominalism, constructivism, and formalism
- Examination of logical consequence and the mechanisms of mathematical abstraction
- Scholarly discourse on the ontological status of mathematical objects
THE AUTHORITY PERSPECTIVE
Experts identify this collection as a significant resource for understanding the diverse schools of thought currently shaping the philosophy of mathematics. Readers frequently note the academic density of the prose, which is intended for those with a background in formal logic or advanced philosophical study.
Page Count:
656
Publication Date:
1998-11-05
Publisher:
Clarendon Press
ISBN-10:
0198236549
ISBN-13:
9780198236542
Philosophy
Non-Fiction
Epistemology
Mathematics
Logic
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