David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Axiomathes 20 (2-3):357-364 (2010)
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.
|Keywords||Nature of logic Hierarchy of types Cumulativity Degree flexibility Logical properties Logical truths Focal meaning Tarski Gödel|
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References found in this work BETA
John Corcoran & Alfred Tarski (1986). What Are Logical Notions? History and Philosophy of Logic 7 (2):143-154.
Hao Wang (1997). A Logical Journey: From Gödel to Philosophy. A Bradford Book.
John MacFarlane (2000). What Does It Mean to Say That Logic is Formal? Dissertation, University of Pittsburgh
Robin Smith (1995). But If the Syllogistic is the Most Brilliant Part of Aristotle's. In Jonathan Barnes (ed.), The Cambridge Companion to Aristotle. Cambridge University Press 27.
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