Philosophy of Mathematics Today
Mathematics is often considered as a body of knowledge that is essen tially independent of linguistic formulations, in the sense that, once the content of this knowledge has been grasped, there remains only the problem of professional ability, that of clearly formulating and correctly proving it. H...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1997, 1997
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| Edition: | 1st ed. 1997 |
| Series: | Episteme, A Series in the Foundational, Methodological, Philosophical, Psychological, Sociological, and Political Aspects of the Sciences, Pure and Applied
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- General Philosophical Perspectives
- Logic, Mathematics, Ontology
- From Certainty to Fallibility in Mathematics?
- Moderate Mathematical Fictionism
- Language and Coding-Dependency of Results in Logic and Mathematics
- What is a Profound Result in Mathematics?
- The Hylemorphic Schema in Mathematics
- Foundational Approaches
- Categorical Foundations of the Protean Character of Mathematics
- Category Theory and Structuralism in Mathematics: Syntactical Considerations
- Reflection in Set Theory. The Bernays-Levy Axiom System
- Structuralism and the Concept of Set
- Aspects of Mathematical Experience
- Logicism Revisited in the Propositional Fragment of Le?niewski’s Ontology
- The Applicability of Mathematics
- The Relation of Mathematics to the Other Sciences
- Mathematics and Physics
- The Mathematical Overdetermination of Physics
- Gödel’s Incompleteness Theorem and Quantum Thermodynamic Limits
- Mathematical Models in Biology
- The Natural Numbers as a Universal Library
- Mathematical Symmetry Principles in the Scientific World View
- Historical Considerations
- Mathematics and Logics. Hungarian Traditions and the Philosophy of Non-Classical Logic
- Umfangslogik, Inhaltslogik, Theorematic Reasoning