Philosophy of Mathematics : : Set Theory, Measuring Theories, and Nominalism / / ed. by Gerhard Preyer, Georg Peter.
One main interest of philosophy is to become clear about the assumptions, premisses and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is acheivable or necessary like the articles in the firt part of the publication sh...
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Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2013] ©2008 |
Year of Publication: | 2013 |
Language: | English |
Series: | Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ,
13 |
Online Access: | |
Physical Description: | 1 online resource (184 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Part I: Set Theory, Inconsistency, and Measuring Theories
- Representationalism and Set-Theoretic Paradox
- Who’s Afraid of Inconsistent Mathematics?
- Logical and Semantic Puritiy
- On Using Measuring Numbers according to Measuring Theories
- Part II The Challenge of Nominalism
- The Compulsion to Believe: Logical Inference and Normativity
- Nominalism and Mathematical Intuition
- Jobless Objects: Mathematical Posits in Crisis
- Is Indispensability Still a Problem for Fictionalism?
- Part III: Historical Background
- Mill, Frege and the Unity of Mathematics
- Descartes on Mathematical Essences
- Editors and Contributors