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Philosophy of Mathematics Today : EPISTEME - Evandro Agazzi

Philosophy of Mathematics Today

EPISTEME

By: Evandro Agazzi (Editor), Gyorgy Darvas (Editor)

Hardcover ISBN: 9780792343431
Number Of Pages: 361

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The book is of interest to general philosophers of science, thanks to the attention paid to logical, linguistic and ontological issues regarding mathematics. People interested in foundational research will find penetrating papers regarding structuralist and set-theoretical approaches. Scientists may appreciate the analyses of the role of mathematics in several sciences.

Introduction
Logic, Mathematics, Ontologyp. 3
From Certainty to Fallibility in Mathematics?p. 39
Moderate Mathematical Fictionismp. 51
Language and Coding-Dependency of Results in Logic and Mathematicsp. 73
What is a Profound Result in Mathematics?p. 89
The Hylemorphic Schema in Mathematicsp. 101
Categorical Foundations of the Protean Character of Mathematicsp. 117
Category Theory and Structuralism in Mathematics: Syntactical Considerationsp. 123
Reflection in Set Theory. The Bernays-Levy Axiom Systemp. 137
Structuralism and the Concept of Setp. 171
Aspects of Mathematical Experiencep. 195
Logicism Revisited in the Propositional Fragment of Lesniewski's Ontologyp. 219
The Relation of Mathematics to the Other Sciencesp. 235
Mathematics and Physicsp. 261
The Mathematical Overdetermination of Physicsp. 269
Godel's Incompleteness Theorem and Quantum Thermodynamic Limitsp. 287
Mathematical Models in Biologyp. 299
The Natural Numbers as a Universal Libraryp. 305
Mathematical Symmetry Principles in the Scientific World Viewp. 319
Mathematics and Logics. Hungarian Traditions and the Philosophy of Non-Classical Logicp. 337
Umfangslogik, Inhaltslogik, Theorematic Reasoningp. 353
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792343431
ISBN-10: 0792343433
Series: EPISTEME
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 361
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 3.18
Weight (kg): 0.84