On What Ontology is and Not-is
Copyright policy )On What Ontology is and Not-is
In this paper I study the connection between logic and metaphysics in Plato's participation theory, from the structural properties of the latter. Although Plato was the first ever to formulate the contradiction principle explicitly (in the Phaedo), the logic underlying his system appears to be paraconsistent. This confirms an earlier suggestion by G. Priest. Its technical characteristics and the textual evidence supporting this interpretation are both studied in detail.
27 pages, 6 figures
- Vrije Universiteit Brussel Belgium
History of Greek and Roman mathematics, paradox, Paraconsistent logics, ancient philosophy, Mathematics - History and Overview, History and Overview (math.HO), Mathematics - Logic, Philosophical and critical aspects of logic and foundations, metaphysics, paraconsistent logic, History of mathematical logic and foundations, FOS: Mathematics, 01A20, 03A05, ontology, Logic (math.LO), Plato
History of Greek and Roman mathematics, paradox, Paraconsistent logics, ancient philosophy, Mathematics - History and Overview, History and Overview (math.HO), Mathematics - Logic, Philosophical and critical aspects of logic and foundations, metaphysics, paraconsistent logic, History of mathematical logic and foundations, FOS: Mathematics, 01A20, 03A05, ontology, Logic (math.LO), Plato
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!