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In Aristotle's view, universals are incorporeal and universal, but only exist only where they are instantiated; they exist only in things. [1] Aristotle said that a universal is identical in each of its instances. All red things are similar in that there is the same universal, redness, in each thing.
Aristotle said that predication can be kath hauto when the predicated universal identifies the subject as what it is, marking this type as de re necessary. [ 23 ] [ 24 ] It is distinguished from kata sumbebekos predication, which is concerned with how-predication or when the predicated universal merely modifies or characterizes a subject that ...
The standpoint of the Aristotelian classification is the predication of one universal concerning another. The Porphyrian, by introducing species, deals with the predication of universals concerning individuals (for species is necessarily predicated of the individual), and thus created difficulties from which the Aristotelian is free (see below).
The ness-ity-hood principle is used mainly by English-speaking philosophers to generate convenient, concise names for universals or properties. [9] According to the Ness-Ity-Hood Principle, a name for any universal may be formed by taking the name of the predicate and adding the suffix "ness", "ity", or "hood".
Universals without instances are not part of the world. [37] Taking a realist approach to universals also allows an Aristotelian realist philosophy of mathematics, according to which mathematics is a science of properties that are instantiated in the real (including physical) world, such as quantitative and structural properties. [38]
Platonic Forms were the first universals posited as such in philosophy. [7] Our term "universal" is due to the English translation of Aristotle's technical term katholou which he coined specially for the purpose of discussing the problem of universals. [8] Katholou is a contraction of the phrase kata holou, meaning "on the whole". [9]
A biologist can study oak trees and learn about oakness and more generally the intelligible order within the sensible world. Accordingly, Aristotle was more confident than Plato about coming to know the sensible world; he was a prototypical empiricist and a founder of induction. Aristotle was a new, moderate sort of realist about universals.
Aristotle's ontology places the universal (katholou) in particulars (kath' hekaston), things in the world, whereas for Plato the universal is a separately existing form which actual things imitate. For Aristotle, "form" is still what phenomena are based on, but is "instantiated" in a particular substance.