5 ideas
8502 | Realism doesn't explain 'a is F' any further by saying it is 'a has F-ness' [Devitt] |
Full Idea: Realists feel that the one-place predication 'a is F' leaves something unexplained, yet all that is offered is a two-place predication (a relational statement). There is an equal problem about 'a having F-ness'. | |
From: Michael Devitt ('Ostrich Nominalism' or 'Mirage Realism'? [1980], p.97) | |
A reaction: I think this is a key argument on the nominalist side - the denial that the theory of universals actually makes any progress at all in giving an explanation of what is going on around here. Platonist have the problem of 'partaking'. |
8503 | The particular/universal distinction is unhelpful clutter; we should accept 'a is F' as basic [Devitt] |
Full Idea: Talk of 'particulars' and 'universals' clutters the landscape without adding to our understanding. We should rest with the basic fact that a is F. | |
From: Michael Devitt ('Ostrich Nominalism' or 'Mirage Realism'? [1980], p.98) | |
A reaction: Ramsey was first to challenge the basic distinction. I find the approach of Quine and Devitt unsatisfactory. We abandon explanation when it is totally hopeless, but that is usually in the face of complexity. Properties are difficult but simple. |
8501 | Quineans take predication about objects as basic, not reference to properties they may have [Devitt] |
Full Idea: For 'a and b have the same property, F-ness' the Quinean Nominalist has a paraphrase to hand: 'a and b are both F'. ..In denying that this object need have properties, the Quinean is not denying that it really is F. | |
From: Michael Devitt ('Ostrich Nominalism' or 'Mirage Realism'? [1980], p.95) | |
A reaction: The question that remains is why 'F' is used of both a and b. We don't call a and b 'a', because they are different. Quine falls back on resemblance. I suspect Quineans of hiding behind the semantics. |
14381 | A statue is essentially the statue, but its lump is not essentially a statue, so statue isn't lump [Yablo, by Rocca] |
Full Idea: Yablo proposes the argument that Statue A is essentially a statue, and Lump 1 is not essentially a statue, so Statue A is not identical with Lump 1. | |
From: report of Stephen Yablo (Identity, Essence and Indiscernibility [1987]) by Michael della Rocca - Essentialists and Essentialism I | |
A reaction: Della Rocca and Yablo unashamedly elide necessary properties with essential properties, so this argument doesn't bother me too much. It concerns the statue and the clay having different modal properties. |
9141 | Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert] |
Full Idea: A theory of abstraction is any account that reconstructs mathematical theories using second-order abstraction principles of the form: §xFx = §xGx iff E(F,G). We ignore first-order abstraction principles such as Frege's direction abstraction. | |
From: R Cook / P Ebert (Notice of Fine's 'Limits of Abstraction' [2004], 1) | |
A reaction: Presumably part of the neo-logicist programme, which also uses such principles. The function § (extension operator) 'provides objects corresponding to the argument concepts'. The aim is to build mathematics, rather than the concept of a 'rabbit'. |