Projective Geometry in Logical Space: Rethinking Tractarian Thoughts

International Journal of Philosophical Studies 26 (1):1-23 (2018)
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Abstract

Customary interpretations state that Tractarian thoughts are pictures, and, a fortiori, facts. I argue that important difficulties are unavoidable if we assume this standard view, and I propose a reading of the concept taking advantage of an analogy that Wittgenstein introduces, namely, the analogy between thoughts and projective geometry. I claim that thoughts should be understood neither as pictures nor as facts, but as acts of geometric projection in logical space. The interpretation I propose thus removes the root of the identified difficulties. Moreover, it allows important clarification concerning some central aspects of the Tractarian theory of representation, and it yields a unifying elucidation regarding Wittgenstein’s remarks on the solipsistic thesis.

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Pablo Acuña
Pontificia Universidad Católica de Valparaíso

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References found in this work

Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
Tractatus Logico-Philosophicus.Ludwig Wittgenstein - 1956 - Revista Portuguesa de Filosofia 12 (1):109-110.
Philosophy of Physics: Space and Time.Tim Maudlin - 2012 - Princeton University Press.
Notebooks, 1914-1916.Ludwig Wittgenstein - 1961 - Chicago: University of Chicago Press. Edited by G. H. von Wright & G. E. M. Anscombe.

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