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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References found in this work BETA
Graham Priest, Paraconsistent Logic. Stanford Encyclopedia of Philosophy.
Saul A. Kripke (1963). Semantical Analysis of Modal Logic I. Normal Propositional Calculi. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (5‐6):67-96.

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