Tractarian Ontology: Mereology or Set Theory?

Forum Philosophicum: International Journal for Philosophy 12 (2):24-39 (2007)
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Abstract

I analyze the relations of constituency or ``being in'' that connect different ontological items in the Tractatus logico-philosophicus by Wittgenstein. A state of affairs is constituted by atoms, atoms are in a state of affairs. Atoms are also in an atomic fact. Moreover, the world is the totality of facts, thus it is in some sense made of facts. Many other kinds of Tractarian notions -- such as molecular facts, logical space, reality -- seem to be involved in constituency relations. How should these relations be conceived? And how is it possible to formalize them in a convincing way? I draw a comparison between two ways of conceiving and formalizing these relations: through sets and through mereological sums. The comparison shows that the conceptual machinery of set theory is apter to conceive and formalize Tractarian constituency notions than the mereological one.

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Giorgio Lando
Università degli Studi dell'Aquila

References found in this work

Notebooks, 1914-1916.Ludwig Wittgenstein - 1979 - Chicago: University of Chicago Press. Edited by G. H. von Wright & G. E. M. Anscombe.
Person and Object.Roderick Chisholm - 1976 - Philosophy and Phenomenological Research 39 (2):281-283.
Notebooks 1914-1916.L. Wittgenstein, G. H. von Wright & G. E. M. Anscombe - 1980 - Revue Philosophique de la France Et de l'Etranger 170 (2):265-265.
Frege’s Letters to Wittgenstein about the Tractatus.Gottlob Frege & Richard Schmitt - 2003 - The Bertrand Russell Society Quarterly 120.
Tractatus Mereologico-Philosophicus?Peter Simons - 1986 - Grazer Philosophische Studien 28 (1):165-186.

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