ENGLISH

Introduction to the Philosophy of Mathematics

By Hugh Lehman

Book information

Publisher
Blackwell Publishers
Year
1979
ISBN
0631115803, 9780631115809
Language
english
Format
PDF
Filesize
9 MB (9233432 bytes)
Series
Amerrican Philosophical Quarterly Library of Philosophy 2
Pages
177\189
Time added
2020-02-02 20:45:51
Carnap on Philosophy of MathematicsD. Hilbert on Mathematical KnowledgeEmpirical Theory of Mathematical KnowledgeFictionaismformalismGödel on Mathematical KnowledgeIf-ThenismIntuitionismJ. S. Mill on Mathematical KnowledgeMathematical OntologyPhilosophy of MathematicsPostulationism

Description

This book is an outstanding survey of existing views on the nature of Mathematics. While not relying upon calculation, conceptual outlines are quite precise. The exposition covers epistemological and ontological issues on mathematical knowledge, addressing the mainstreams of formalism, if-thenism, intuitionism, fictionalism, postulationism and empiricism. It also discusses R. Carnap, K. Gödel, J. S. Mill, and D. Hilbert's visions on mathematical knowledge. Introduction Part I: Existence in Mathematics Chapter 1: if-Thenism Chapter 2: Postulationism Chapter 3: Mathematical Principles as Analytic Chapter 4: Carnap's Theories Part II: Mathematical Knowledge Chapter 5: Fictionalism, Proof, Gödel's View of Mathematical Knowledge Chapter 6: Intuitionism Chapter 7: Mathematical Knowledge as Empirical: J. S. Mill and D. Hilbert Chapter 8: An Empiricist Theory of Knowledge References Name Index Subject Index

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