Abstract
I present the realist conception of logic supported by Oswaldo Chateaubriand which integrates ontological and epistemological aspects, opposing it to mathematical and linguistic conceptions. I give special attention to the peculiarities of his hierarchy of types in which some properties accumulate and others have a multiple degree. I explain such deviations of the traditional conception, showing the underlying purpose in each of these peculiarities. I compare the ideas of Chateaubriand to the similar ideas of Frege, Tarski and Gödel. I suggest a view of the logical properties in terms of the Aristotelian notion of focal meaning and I give a formal expression to the type of the entities in the hierarchy proposed by Chateaubriand.
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Notes
Bellotti (2003, p. 402) calls attention to Tarski’s procedure according to which logical notions are characterized independently of the characterization of logical truth or even, unlike Chateaubriand, that logical notions are not used to characterize logical truth.
Curiously, the Universal property (Self-Identity) and the Self-Difference property (Self-Nonidentity) have a notable place in the Gödelian ontological argument for the existence of God; the Universal property is characterized in Gödelian argument as a positive property, while the Self-Difference property is characterized as a negative property (Wang 1996, p. 115).
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Sautter, F.T. Chateaubriand’s Realist Conception of Logic. Axiomathes 20, 357–364 (2010). https://doi.org/10.1007/s10516-010-9109-9
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DOI: https://doi.org/10.1007/s10516-010-9109-9