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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2008
Year of Publication:2013
Language:English
Series:Logos : Studien zur Logik, Sprachphilosophie und Metaphysik , 13
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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