39 ideas
10468 | A metaphysics has an ontology (objects) and an ideology (expressed ideas about them) [Oliver] |
Full Idea: A metaphysical theory hs two parts: ontology and ideology. The ontology consists of the entities which the theory says exist; the ideology consists of the ideas which are expressed within the theory using predicates. Ideology sorts into categories. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §02.1) | |
A reaction: Say 'what there is', and 'what we can say about it'. The modern notion remains controversial (see Ladyman and Ross, for example), so it is as well to start crystalising what metaphysics is. I am enthusiastic, but nervous about what is being said. |
10471 | Ockham's Razor has more content if it says believe only in what is causal [Oliver] |
Full Idea: One might give Ockham's Razor a bit more content by advising belief in only those entities which are causally efficacious. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §03) | |
A reaction: He cites Armstrong as taking this line, but I immediately think of Shoemaker's account of properties. It seems to me to be the only account which will separate properties from predicates, and bring them under common sense control. |
10749 | Necessary truths seem to all have the same truth-maker [Oliver] |
Full Idea: The definition of truth-makers entails that a truth-maker for a given necessary truth is equally a truth-maker for every other necessary truth. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §24) | |
A reaction: Maybe we could accept this. Necessary truths concern the way things have to be, so all realities will embody them. Are we to say that nothing makes a necessary truth true? |
10750 | Slingshot Argument: seems to prove that all sentences have the same truth-maker [Oliver] |
Full Idea: Slingshot Argument: if truth-makers work for equivalent sentences and co-referring substitute sentences, then if 'the numbers + S1 = the numbers' has a truth-maker, then 'the numbers + S2 = the numbers' will have the same truth-maker. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §24) | |
A reaction: [compressed] Hence every sentence has the same truth-maker! Truth-maker fans must challenge one of the premises. |
15717 | Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan] |
Full Idea: The problem with the Axiom of Choice is that it allows an initiate (by an ingenious train of reasoning) to cut a golf ball into a finite number of pieces and put them together again to make a globe as big as the sun. | |
From: R Kaplan / E Kaplan (The Art of the Infinite [2003], 9) | |
A reaction: I'm not sure how this works (and I think it was proposed by the young Tarski), but it sounds like a real problem to me, for all the modern assumptions that Choice is fine. |
15712 | 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan] |
Full Idea: You have 1 and 0, something and nothing. Adding gives us the naturals. Subtracting brings the negatives into light; dividing, the rationals; only with a new operation, taking of roots, do the irrationals show themselves. | |
From: R Kaplan / E Kaplan (The Art of the Infinite [2003], 1 'Mind') | |
A reaction: The suggestion is constructivist, I suppose - that it is only operations that produce numbers. They go on to show that complex numbers don't quite fit the pattern. |
15711 | The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan] |
Full Idea: The rationals are everywhere - the irrationals are everywhere else. | |
From: R Kaplan / E Kaplan (The Art of the Infinite [2003], 1 'Nameless') | |
A reaction: Nice. That is, the rationals may be dense (you can always find another one in any gap), but the irrationals are continuous (no gaps). |
15714 | 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan] |
Full Idea: The 'commutative' laws say the order in which you add or multiply two numbers makes no difference; ...the 'associative' laws declare that regrouping couldn't change a sum or product (e.g. a+(b+c)=(a+b)+c ). | |
From: R Kaplan / E Kaplan (The Art of the Infinite [2003], 2 'Tablets') | |
A reaction: This seem utterly self-evident, but in more complex systems they can break down, so it is worth being conscious of them. |
15715 | 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan] |
Full Idea: The 'distributive' law says you will get the same result if you first add two numbers, and then multiply them by a third, or first multiply each by the third and then add the results (i.e. a · (b+c) = a · b + a · c ). | |
From: R Kaplan / E Kaplan (The Art of the Infinite [2003], 2 'Tablets') | |
A reaction: Obviously this will depend on getting the brackets right, to ensure you are indeed doing the same operations both ways. |
16062 | A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow] |
Full Idea: It seems unavoidable that the facts about logically necessary relations between levels of facts are themselves logically distinct further facts, irreducible to the microphysical facts. | |
From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C) | |
A reaction: I'm beginning to think that rejecting every theory of reality that is proposed by carefully exposing some infinite regress hidden in it is a rather lazy way to do philosophy. Almost as bad as rejecting anything if it can't be defined. |
16061 | If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow] |
Full Idea: Logical supervenience, restricted to individuals, seems to imply strong reduction. It is said that where the B-facts logically supervene on the A-facts, the B-facts simply re-describe what the A-facts describe, and the B-facts come along 'for free'. | |
From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], C) | |
A reaction: This seems to be taking 'logically' to mean 'analytically'. Presumably an entailment is logically supervenient on its premisses, and may therefore be very revealing, even if some people think such things are analytic. |
16060 | Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow] |
Full Idea: The root intuition behind nonreductive materialism is that reality is composed of ontologically distinct layers or levels. …The upper levels depend on the physical without reducing to it. | |
From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], B) | |
A reaction: A nice clear statement of a view which I take to be false. This relationship is the sort of thing that drives people fishing for an account of it to use the word 'supervenience', which just says two things seem to hang out together. Fluffy materialism. |
16064 | The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow] |
Full Idea: Jessica Wilson (1999) says what makes physicalist accounts different from emergentism etc. is that each individual causal power associated with a supervenient property is numerically identical with a causal power associated with its base property. | |
From: Lynch,MP/Glasgow,JM (The Impossibility of Superdupervenience [2003], n 11) | |
A reaction: Hence the key thought in so-called (serious, rather than self-evident) 'emergentism' is so-called 'downward causation', which I take to be an idle daydream. |
10747 | Accepting properties by ontological commitment tells you very little about them [Oliver] |
Full Idea: The route to the existence of properties via ontological commitment provides little information about what properties are like. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §22) | |
A reaction: NIce point, and rather important, I would say. I could hardly be committed to something for the sole reason that I had expressed a statement which contained an ontological commitment. Start from the reason for making the statement. |
10748 | Reference is not the only way for a predicate to have ontological commitment [Oliver] |
Full Idea: For a predicate to have a referential function is one way, but not the only way, to harbour ontological commitment. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §22) | |
A reaction: Presumably the main idea is that the predicate makes some important contribution to a sentence which is held to be true. Maybe reference is achieved by the whole sentence, rather than by one bit of it. |
10719 | 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'. |
10721 | 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. |
10716 | 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. |
10720 | 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). |
10714 | 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. |
10715 | 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. |
10741 | 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? |
10738 | 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. |
10740 | 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? |
10739 | 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. |
10742 | 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?' |
10472 | '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. |
10730 | 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. |
10724 | 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. |
7963 | 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. |
7962 | 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). |
10727 | 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. |
10722 | 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. |
10744 | 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. |
10726 | Things can't be fusions of universals, because two things could then be one thing [Oliver] |
Full Idea: If a particular thing is a bundle of located universals, we might say it is a mereological fusion of them, but if two universals can be instantiated by more than one particular, then two particulars can have the same universals, and be the same thing. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §11) | |
A reaction: This and Idea 10725 pretty thoroughly demolish the idea that objects could be just bundles of universals. The problem pushes some philosophers back to the idea of 'substance', or some sort of 'substratum' which has the universals. |
10725 | Abstract sets of universals can't be bundled to make concrete things [Oliver] |
Full Idea: If a particular thing is a bundle of located universals, we might say that it is the set of its universals, but this won't work because the thing can be concrete but sets are abstract. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §11) | |
A reaction: This objection applies just as much to tropes (abstract particulars) as it does to universals. |
10745 | Science is modally committed, to disposition, causation and law [Oliver] |
Full Idea: Natural science is up to its ears in modal notions because of its use of the concepts of disposition, causation and law. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §15) | |
A reaction: This is aimed at Quine. It might be possible for an auster physicist to dispense with these concepts, by merely describing patterns of observed behaviour. |
15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |
Full Idea: The claim that no number is greater than a million is confirmed by the first million test cases. | |
From: R Kaplan / E Kaplan (The Art of the Infinite [2003], 2 'Intro') | |
A reaction: Extrapolate from this, and you can have as large a number of cases as you could possibly think of failing to do the inductive job. Love it! Induction isn't about accumulations of cases. It is about explanation, which is about essence. Yes! |
10746 | Conceptual priority is barely intelligible [Oliver] |
Full Idea: I find the notion of conceptual priority barely intelligible. | |
From: Alex Oliver (The Metaphysics of Properties [1996], §19 n48) | |
A reaction: I don't think I agree, though there is a lot of vagueness and intuition involved, and not a lot of hard argument. Can you derive A from B, but not B from A? Is A inconceivable without B, but B conceivable without A? |