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372 pages, Kindle Edition
First published November 13, 1997
I have not had regular dealings with any solid book, except Plutarch and Seneca, from whom I draw like the Danaïds, incessantly filling up and pouring out. Some of this sticks to this paper; to myself, little or nothing. (Montaigne, On the Education of Children)
problems of universals: - infinite regress (pg 31) [cf. Parmenides]
- Another issue that arises is that exemplification results in an infinite regress. If a exemplifies F-ness, then a also exemplifies exemplifying F-ness, and then also exemplifies exemplifying exemplifying F-ness, and so on forever.
- The same goes for the account of predication: if a is F can be rephrased a exemplifies F-ness, then…
- [After reading this I wrote: why is this necessary a problem, cant there just be an infinite series of properties (which we might denote with an elipses, 'f-ness…’, the mathematical symbol for 'repeating’?) - but then…]
- Loux says that while many realists have treated this as a problem and attempted to solve it, it does not need to be. The realist can simply say that there are an infinite number of properties of exemplification (he says while it is a cycle, it is not ‘viscious’!) [Fools seldom differ!]
- Realists who want to avoid the regress might simply say that exemplification is not subject to the realist’s account. They may also say that they are just giving a more “articulated” explanation of whats already going on rather than introducing a new object, and similarly, of predication, that ‘a is F-ness’ is semantically equivalent to ‘a is F’ and does not actually introduce a new exemplification that also exemplifies etc.
- Another infinite regress appears in the realist account: we have said earlier that exemplification is a relation between a particular and a universal. Because relations are also universals, when we say that a exemplifies F-ness, we say that the two are related by exemplification, so we introduce another univeral, the relationship of exemplification. Because a and F are related by exemplification, we need “a higher form of exemplification … to ensure that a and F enter into a relation of exemplification”, and so on…