Synthese 116 (2):141–186 (1998)
The aim of this paper is to introduce Wittgenstein’s concept of the form of a language into geometry and to show how it can be used to achieve a better understanding of the development of geometry, from Desargues, Lobachevsky and Beltrami to Cayley, Klein and Poincaré. Thus this essay can be seen as an attempt to rehabilitate the Picture Theory of Meaning, from the Tractatus. Its basic idea is to use Picture Theory to understand the pictures of geometry. I will try to show, that the historical evolution of geometry can be interpreted as the development of the form of its language. This confrontation of the Picture Theory with history of geometry sheds new light also on the ideas of Wittgenstein.
|Keywords||Philosophy Philosophy Epistemology Logic Metaphysics Philosophy of Language|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
Informational Realism and World 3.Donald Gillies - 2010 - Knowledge, Technology & Policy 23 (1-2):7-24.
Informational Realism and World 3.Donald Gillies - 2010 - Knowledge, Technology and Policy 23 (1-2):7-24.
Similar books and articles
The Future of Post-Human Geometry: A Preface to a New Theory of Infinity, Symmetry, and Dimensionality.Peter Baofu - 2009 - Cambridge Scholars Press.
Kant's Philosophy of Geometry--On the Road to a Final Assessment.L. Kvasz - 2011 - Philosophia Mathematica 19 (2):139-166.
Tarski's System of Geometry.Alfred Tarski & Steven Givant - 1999 - Bulletin of Symbolic Logic 5 (2):175-214.
The Relevance of Wittgenstein’s Thought for Philosophical Hermeneutics.Adrian Costache - 2011 - Journal for Communication and Culture 1 (1):44-54.
Poincaré's Conventionalism and the Logical Positivists.Michael Friedman - 1995 - Foundations of Science 1 (2):299-314.
An Enhanced Argument for Innate Elementary Geometric Knowledge and its Philosophical Implications.Helen De Cruz - 2007 - In Bart Van Kerkhove (ed.), New perspectives on mathematical practices. Essays in philosophy and history of mathematics. World Scientific.
Contemporary Arguments for a Geometry of Visual Experience.Phillip John Meadows - 2011 - European Journal of Philosophy 19 (3):408-430.
Abstraction and Intuition in Peano's Axiomatizations of Geometry.Davide Rizza - 2009 - History and Philosophy of Logic 30 (4):349-368.
The History of Algebra and the Development of the Form of its Language.Ladislav Kvasz - 2006 - Philosophia Mathematica 14 (3):287-317.
Added to index2009-01-28
Total downloads84 ( #60,396 of 2,153,860 )
Recent downloads (6 months)12 ( #45,539 of 2,153,860 )
How can I increase my downloads?