On what ontology is and not-is

Foundations of Science 13 (3):347-370 (2008)
In this paper I investigate the relation between physics and metaphysics in Plato’s participation theory. I show that the logic shoring up Plato’s metaphysics in paraconsistent, as had been suggested already by Graham Priest. The transformation of the paradoxical One-and-Many of the pre-Socratics into a paraconsistent Great-and-Small bridges the abyss between archaic rationality and the world of classical logic based ultimately on the principle of contradiction. Indeed, language is an organ of perception, not simply a means of communication. J. Jaynes, Origin of Consciousness.
Keywords Ontology  Ancient philosophy  Paradox  Paraconsistent logic  Metaphysics  Plato
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DOI 10.1007/s10699-008-9130-2
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In Contradiction.Graham Priest - 2006 - Oxford University Press UK.
Paraconsistent Logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.
Semantical Analysis of Modal Logic I. Normal Propositional Calculi.Saul A. Kripke - 1963 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.
A Useful Four-Valued Logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.

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