Combining Philosophers

Ideas for Hermarchus, Sphaerus and David M. Armstrong

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18 ideas

8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Refusal to explain why different tokens are of the same type is to be an ostrich [Armstrong]
     Full Idea: A philosophical account of a general sort is required of what it is for different tokens to be of the same type. To refuse to give such an account is to be a metaphysical ostrich.
     From: David M. Armstrong (Against 'Ostrich Nominalism' [1980], §1)
     A reaction: This defines Ostrich Nominalism (a label Armstrong aims at Quine). I certainly sympathise with Armstrong. If there is no more to a class (a type) than just having members (tokens), nothing is explain. What is natural, essential, intensional etc.?
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Deniers of properties and relations rely on either predicates or on classes [Armstrong]
     Full Idea: The great deniers of properties and relations are of two sorts: those who put their faith in predicates and those who appeal to sets (classes).
     From: David M. Armstrong (Properties [1992], §1)
     A reaction: This ignores the Quine view, which is strictly for ostriches. Put like this, properties and relations seem undeniable. Predicates are too numerous (gerrymandering) or too few (colour shades). Classes can have arbitrary members.
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
'Resemblance Nominalism' finds that in practice the construction of resemblance classes is hard [Armstrong]
     Full Idea: It is difficult for Resemblance Nominalists to construct their interconnected classes in practice.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: Given the complexity of the world this is hardly surprising, but it doesn't seem insuperable for the theory. It is hard to decide whether an object is white, or hot, whatever your theory of universals.
Resemblances must be in certain 'respects', and they seem awfully like properties [Armstrong]
     Full Idea: If a resembles b, in general, they resemble in certain respects, and fail to resemble in other respects. But respects are uncomfortably close to properties, which the Resemblance theory proposes to do without.
     From: David M. Armstrong (Properties [1992], §1)
     A reaction: This is a good objection. I think it is plausible to build a metaphysics around the idea of respects, and drop properties. Shall we just talk of 'respects' for categorising, and 'powers' for causation and explanation? Respects only exist in comparisons.
'Resemblance Nominalism' says properties are resemblances between classes of particulars [Armstrong]
     Full Idea: Resemblance Nominalists say that to have a property is to be a member of a class which is part of a network of resemblance relations with other classes of particulars. ..'Resemblance' is taken to be a primitive notion, though one that admits of degrees.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: Intuition suggests that this proposal has good prospects, as properties are neither identical, nor just particulars, but have a lot in common, which 'resemblance' captures. Hume saw resemblance as a 'primitive' process.
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
It doesn't follow that because there is a predicate there must therefore exist a property [Armstrong]
     Full Idea: I suggest that we reject the notion that just because the predicate 'red' applies to an open class of particulars, therefore there must be a property, redness.
     From: David M. Armstrong (A Theory of Universals [1978], p.8), quoted by DH Mellor / A Oliver - Introduction to 'Properties' §6
     A reaction: At last someone sensible (an Australian) rebuts that absurd idea that our ontology is entirely a feature of our language
Change of temperature in objects is quite independent of the predicates 'hot' and 'cold' [Armstrong]
     Full Idea: To appreciate the implausibility of the predicate view, consider where a thing's properties change. 'Hot' becomes applicable when 'cold' ceases to, ..but the change in the object would have occurred if the predicates had never existed.
     From: David M. Armstrong (Properties [1992], §1)
     A reaction: They keep involving secondary qualities! Armstrong is taking a strongly realist view (fine by me), but anti-realists can ignore his argument. I take predicate nominalism to be a non-starter.
We want to know what constituents of objects are grounds for the application of predicates [Armstrong]
     Full Idea: The properties that are of ontological interest are those constituents of objects, of particulars, which serve as the ground in the objects for the application of predicates.
     From: David M. Armstrong (Properties [1992], §1)
     A reaction: Good. This is a reversal of the predicate nominalist approach, and is a much healthier attitude to the relationship between ontology and language. Value judgements will be an interesting case. Does this allow us to invent new predicates?
'Predicate Nominalism' says that a 'universal' property is just a predicate applied to lots of things [Armstrong]
     Full Idea: For a Predicate Nominalist different things have the same property, or belong to the same kind, if the same predicates applies to, or is 'true of', the different things.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: This immediately strikes me as unlikely, because I think the action is at the proposition level, not the sentence level. And why do some predicates seem to be synonymous?
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Concept and predicate nominalism miss out some predicates, and may be viciously regressive [Armstrong]
     Full Idea: The standard objections to Predicate and Concept Nominalism are that some properties have no predicates or concepts, and that predicates and concepts seem to be types rather than particulars, and it is types the theory is seeking to analyse.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: The claim that some properties have no concepts is devastating if true, but may not be. The regress problem is likely to occur in any explanation of universals, I suspect.
'Concept Nominalism' says a 'universal' property is just a mental concept applied to lots of things [Armstrong]
     Full Idea: Concept Nominalism says different things have the same property, or belong to the same kind, if the same concept in the mind is applied to different things.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: This is more appealing than Predicate Nominalism, and may be right. Our perception of the 'properties' of a thing may be entirely dictated by human interests, not by nature.
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
In most sets there is no property common to all the members [Armstrong]
     Full Idea: Most sets are uninteresting because they are utterly heterogeneous, that is, the members have nothing in common. For most sets there is no common property F, such that the set is the set of all the Fs.
     From: David M. Armstrong (Properties [1992], §1)
     A reaction: One might link the interesting sets together by resemblance, without invoking the actual existence of an item F which all the members carry (like freemasons' briefcases). Personally I am only really interested in 'natural' sets.
'Class Nominalism' may explain properties if we stick to 'natural' sets, and ignore random ones [Armstrong]
     Full Idea: Class Nominalism can be defended (by Quinton) against the problem of random sets (with nothing in common), by giving an account of properties in terms of 'natural' classes, where 'natural' comes in degrees, but is fundamental and unanalysable.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: This still seems to beg the question, because you still have to decide whether two things have anything 'naturally' in common before you assign them to a set.
'Class Nominalism' says that properties or kinds are merely membership of a set (e.g. of white things) [Armstrong]
     Full Idea: Class Nominalists substitute classes or sets for properties or kinds, so that being white is just being a member of the set of white things; relations are treated as ordered sets.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: This immediately seems wrong, because it invites the question of why something is a member of a set (unless membership is arbitrary and whimsical - which it usually isn't).
'Class Nominalism' cannot explain co-extensive properties, or sets with random members [Armstrong]
     Full Idea: Class Nominalism cannot explain co-extensive properties (which qualify the same things), and also a random (non-natural) set has particulars with nothing in common, thus failing to capture an essential feature of a general property.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: These objections strike me as conclusive, since we can assign things to a set quite arbitrarily, so membership of a set may signify no shared property at all (except, say, 'owned by me', which is hardly a property).
The class of similar things is much too big a truthmaker for the feature of a particular [Armstrong]
     Full Idea: For a Class Nominalist 'the class of all 4-kilo objects' is the truthmaker for the truth that the particular has just that mass. Yet this looks far too big! Would not the object still be four kilos even if the other members of the class had never existed?
     From: David M. Armstrong (Truth and Truthmakers [2004], 04.2)
     A reaction: This seems so obvious to me as to be hardly worth saying. To identify redness with the class of red entities just seems crazy. Why do they belong in that class? Armstrong is illustrating the value of the truthmaker idea in philosophy.
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
'Mereological Nominalism' sees whiteness as a huge white object consisting of all the white things [Armstrong]
     Full Idea: Mereological Nominalism views a property as the omnitemporal whole or aggregate of all the things said to have the property, so whiteness is a huge white object whose parts are all the white things.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: A charming proposal, in which bizarre and beautiful unities thread themselves across the universe, but white objects may also be soft and warm.
'Mereological Nominalism' may work for whiteness, but it doesn't seem to work for squareness [Armstrong]
     Full Idea: Mereological Nominalism has some plausibility for a case like whiteness, but breaks down completely for other universals, such as squareness.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: A delightful request that you attempt a hopeless feat of imagination, by seeing all squares as parts of one supreme square. A nice objection.