Combining Texts

Ideas for 'Causation', 'Elements of Mathematical Logic' and 'The Metaphysics of Properties'

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20 ideas

8. Modes of Existence / B. Properties / 1. Nature of Properties
There are four conditions defining the relations between particulars and properties [Oliver]
     Full Idea: Four adequacy conditions for particulars and properties: asymmetry of instantiation; different particulars can have the same property; particulars can have many properties; two properties can be instantiated by the same particulars.
     From: Alex Oliver (The Metaphysics of Properties [1996], §09)
     A reaction: The distinction between particulars and universals has been challenged (e.g. by Ramsey and MacBride). There are difficulties in the notion of 'instantiation', and in the notion of two properties being 'the same'.
If properties are sui generis, are they abstract or concrete? [Oliver]
     Full Idea: If properties are sui generis entities, one must decide whether they are abstract or concrete.
     From: Alex Oliver (The Metaphysics of Properties [1996], §09)
     A reaction: A nice basic question! I take the real properties to be concrete, but we abstract from them, especially from their similarities, and then become deeply confused about the ontology, because our language doesn't mark the distinctions clearly.
8. Modes of Existence / B. Properties / 2. Need for Properties
There are just as many properties as the laws require [Oliver]
     Full Idea: One conception of properties says there are only as many properties as are needed to be constituents of laws.
     From: Alex Oliver (The Metaphysics of Properties [1996], §03)
     A reaction: I take this view to the be precise opposite of the real situation. The properties are what lead to the laws. Properties are internal to nature, and laws are imposed from outside, which is ridiculous unless you think there is an active deity.
8. Modes of Existence / B. Properties / 3. Types of Properties
We have four options, depending whether particulars and properties are sui generis or constructions [Oliver]
     Full Idea: Both properties and particulars can be taken as either sui generis or as constructions, so we have four options: both sui generis, or both constructions, or one of each.
     From: Alex Oliver (The Metaphysics of Properties [1996], §09)
     A reaction: I think I favour both being sui generis. God didn't make the objects, then add their properties, or make the properties then create some instantiations. There can't be objects without properties, or objectless properties (except in thought).
8. Modes of Existence / B. Properties / 10. Properties as Predicates
The expressions with properties as their meanings are predicates and abstract singular terms [Oliver]
     Full Idea: The types of expressions which have properties as their meanings may vary, the chief candidates being predicates, such as '...is wise', and abstract singular terms, such as 'wisdom'.
     From: Alex Oliver (The Metaphysics of Properties [1996], §02)
     A reaction: This seems to be important, because there is too much emphasis on predicates. If this idea is correct, we need some account of what 'abstract' means, which is notoriously tricky.
There are five main semantic theories for properties [Oliver]
     Full Idea: Properties in semantic theory: functions from worlds to extensions ('Californian'), reference, as opposed to sense, of predicates (Frege), reference to universals (Russell), reference to situations (Barwise/Perry), and composition from context (Lewis).
     From: Alex Oliver (The Metaphysics of Properties [1996], §02 n12)
     A reaction: [compressed; 'Californian' refers to Carnap and Montague; the Lewis view is p,67 of Oliver]. Frege misses out singular terms, or tries to paraphrase them away. Barwise and Perry sound promising to me. Situations involve powers.
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are not properties, since they can't be instantiated twice [Oliver]
     Full Idea: I rule that tropes are not properties, because it is not true that one and the same trope of redness is instantiated by two books.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: This seems right, but has very far-reaching implications, because it means there are no properties, and no two things have the same properties, so there can be no generalisations about properties, let alone laws. ..But they have equivalence sets.
The property of redness is the maximal set of the tropes of exactly similar redness [Oliver]
     Full Idea: Using the predicate '...is exactly similar to...' we can sort tropes into equivalence sets, these sets serving as properties and relations. For example, the property of redness is the maximal set of the tropes of redness.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: You have somehow to get from scarlet and vermilion, which have exact similarity within their sets, to redness, which doesn't.
The orthodox view does not allow for uninstantiated tropes [Oliver]
     Full Idea: It is usual to hold an aristotelian conception of tropes, according to which tropes are present in their particular instances, and which does not allow for uninstantiated tropes.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: What are you discussing when you ask what colour the wall should be painted? Presumably we can imagine non-existent tropes. If I vividly imagine my wall looking yellow, have I brought anything into existence?
Maybe concrete particulars are mereological wholes of abstract particulars [Oliver]
     Full Idea: Some trope theorists give accounts of particulars. Sets of tropes will not do because they are always abstract, but we might say that particulars are (concrete) mereological wholes of the tropes which they instantiate.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: Looks like a non-starter to me. How can abstract entities add up to a mereological whole which is concrete?
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Tropes can overlap, and shouldn't be splittable into parts [Oliver]
     Full Idea: More than one trope can occupy the same place at the same time, and a trope occupies a place without having parts which occupy parts of the place.
     From: Alex Oliver (The Metaphysics of Properties [1996], §12)
     A reaction: This is the general question of the size of a spatial trope, or 'how many red tropes in a tin of red paint?'
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
If dispositions are more fundamental than causes, then they won't conceptually reduce to them [Bird on Lewis]
     Full Idea: Maybe a disposition is a more fundamental notion than a cause, in which case Lewis has from the very start erred in seeking a causal analysis, in a traditional, conceptual sense, of disposition terms.
     From: comment on David Lewis (Causation [1973]) by Alexander Bird - Nature's Metaphysics 2.2.8
     A reaction: Is this right about Lewis? I see him as reducing both dispositions and causes to a set of bald facts, which exist in possible and actual worlds. Conditionals and counterfactuals also suffer the same fate.
8. Modes of Existence / D. Universals / 1. Universals
'Structural universals' methane and butane are made of the same universals, carbon and hydrogen [Oliver]
     Full Idea: The 'structural universals' methane and butane are each made up of the same universals, carbon and hydrogen.
     From: Alex Oliver (The Metaphysics of Properties [1996], §07)
     A reaction: He cites Lewis 1986, who is criticising Armstrong. If you insist on having universals, they might (in this case) best be described as 'patterns', which would be useful for structuralism in mathematics. They reduce to relations.
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Located universals are wholly present in many places, and two can be in the same place [Oliver]
     Full Idea: So-called aristotelian universals have some queer features: one universal can be wholly present at different places at the same time, and two universals can occupy the same place at the same time.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11)
     A reaction: If you want to make a metaphysical doctrine look ridiculous, stating it in very simple language will often do the job. Belief in fairies is more plausible than the first of these two claims.
Aristotle's instantiated universals cannot account for properties of abstract objects [Oliver]
     Full Idea: Properties and relations of abstract objects may need to be acknowledged, but they would have no spatio-temporal location, so they cannot instantiate Aristotelian universals, there being nowhere for such universals to be.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11), quoted by Cynthia Macdonald - Varieties of Things
     A reaction: Maybe. Why can't the second-order properties be in the same location as the first-order ones? If the reply is that they would seem to be in many places at once, that is only restating the original problem of universals at a higher level.
If universals ground similarities, what about uniquely instantiated universals? [Oliver]
     Full Idea: If universals are to ground similarities, it is hard to see why one should admit universals which only happen to be instantiated once.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11)
     A reaction: He is criticising Armstrong, who holds that universals must be instantiated. This is a good point about any metaphysics which makes resemblance basic.
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Uninstantiated universals seem to exist if they themselves have properties [Oliver]
     Full Idea: We may have to accept uninstantiated universals because the properties and relations of abstract objects may need to be acknowledged.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11)
     A reaction: This is the problem of 'abstract reference'. 'Courage matters more than kindness'; 'Pink is more like red than like yellow'. Not an impressive argument. All you need is second-level abstraction.
Uninstantiated properties are useful in philosophy [Oliver]
     Full Idea: Uninstantiated properties and relations may do some useful philosophical work.
     From: Alex Oliver (The Metaphysics of Properties [1996], §11), quoted by Cynthia Macdonald - Varieties of Things
     A reaction: Their value isn't just philosophical; hopes and speculations depend on them. This doesn't make universals mind-independent. I think the secret is a clear understanding of the word 'abstract' (which I don't have).
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Instantiation is set-membership [Oliver]
     Full Idea: One view of instantiation is that it is the set-membership predicate.
     From: Alex Oliver (The Metaphysics of Properties [1996], §10)
     A reaction: This cuts the Gordian knot rather nicely, but I don't like it, if the view of sets is extensional. We need to account for natural properties, and we need to exclude mere 'categorial' properties.
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism can reject abstractions, or universals, or sets [Oliver]
     Full Idea: We can say that 'Harvard-nominalism' is the thesis that there are no abstract objects, 'Oz-nominalism' that there are no universals, and Goodman's nominalism rejects entities, such as sets, which fail to obey a certain principle of composition.
     From: Alex Oliver (The Metaphysics of Properties [1996], §15 n46)
     A reaction: Personally I'm a Goodman-Harvard-Oz nominalist. What are you rebelling against? What have you got? We've been mesmerized by the workings of our own minds, which are trying to grapple with a purely physical world.