The Origins of Realist Conception of Relations in "Plato's Phaedo"
Dissertation, Indiana University (
1987)
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Abstract
In a Realist ontology relations are subsisting or existing entities distinct from ordinary things. Idealists claim that the notion of relations is subject to a vicious infinite regress. Nominalists claim that relations are particularized instances. In an attempt to search for the roots of a Realist conception of relations and to meet these challenges I investigate Plato's conception of relations in the Phaedo. ;Against the current of a majority of Plato scholars, Castaneda finds evidence for a distinction between relations and properties at Phaedo 102 b-d. I enter the debate on Castaneda's side and find support for his interpretation of the passage in the context of the dialogue as a whole. The relation--quality distinction resolves the paradox of Simmias being both taller than Socrates and shorter than Phaedo at the same time, since Plato possesses relational characteristics of tallness and shortness, which are not contraries unlike the the contrary properties of hot and cold which could not coexist in an individual. Gallop offers the alternative essence--accident distinction which also resolves the paradox since tallness and shortness as accidents may coexist. The latter distinction however Aristotelianizes Plato. I have shown how the essence--accident distinction is incompatible with Plato's theory of Forms, as it leads to such odd conclusions as the admittance of accidental Forms. ;Castaneda claims that Plato reduces relations to Form-chains in which individuals participate in pairs. I offer the alternative of Plato's positing of relational Forms as distinct from monadic Forms. I survey the corpus of Platonic dialogues in search of support for the distinction between relations and properties. I find that in the Statesman there is a distinction between two types of Forms which generates the distinction between monadic Forms and relational Forms. ;I conclude that there is ample evidence in Plato's dialogues and in Aristotle's assessment of Plato to ascribe this distinction to Plato. Plato's explanation of relations in terms of Forms, which have the highest grade of reality for him, sets up the basis for any Realist theory of relations--for reductionist theories reducing relations to relational properties or some other subsisting entities, as well as for the irreducible concept of relations as abstract subsisting entities