83 ideas
11832 | We learn a concept's relations by using it, without reducing it to anything [Wiggins] |
Full Idea: We can achieve a lot by elucidations that put a concept to use without attempting to reduce it but, in using the concept, exhibit its connexions with other concepts that are established. | |
From: David Wiggins (Sameness and Substance Renewed [2001], Pr.3) | |
A reaction: This seems to be the best line of defence for analytic philosophy, given the much-cited observation that no one has successful reduced any concept by pure analysis. |
6052 | Definitions identify two concepts, so they presuppose identity [McGinn] |
Full Idea: Any definition must presuppose the notion of identity precisely because a definition affirms the identity of two concepts. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: McGinn is arguing that identity is fundamental to thought, and this seems persuasive. It may be, though, that while identities are inescapable, definitions are impossible. |
6064 | Regresses are only vicious in the context of an explanation [McGinn] |
Full Idea: Regresses are only vicious in the context of some explanatory aim, not in themselves. | |
From: Colin McGinn (Logical Properties [2000], Ch.2 n11) | |
A reaction: A nice point. It is not quite clear how 'pure' reason could ever be vicious, or charming, or sycophantic. The problem about a vicious regress is precisely that it fails to explain anything. Now benign regresses are something else… (see Idea 2523) |
6088 | Truth is a method of deducing facts from propositions [McGinn] |
Full Idea: Truth is essentially a method of deducing facts from propositions. | |
From: Colin McGinn (Logical Properties [2000], Ch.5) | |
A reaction: Very persuasive. McGinn is offering a disquotational account of truth, but in a robust form. Of course, deduction normally takes the form of moving infallibly from one truth to another, but that model of deduction won't fit this particular proposal. |
6084 | 'Snow does not fall' corresponds to snow does fall [McGinn] |
Full Idea: We can say that the proposition that snow does not fall from the sky corresponds to the fact that snow does fall from the sky - in the sense that there is a mapping from fact to proposition. | |
From: Colin McGinn (Logical Properties [2000], Ch.5) | |
A reaction: A very nice difficulty for the correspondence theory. It becomes essential to say how the two things correspond before it can offer any sort of account of the truth-relation. |
6085 | The idea of truth is built into the idea of correspondence [McGinn] |
Full Idea: The correspondence theory has an air of triviality, and hence undeniability, but this is because it implicitly builds the idea of truth into the notion of correspondence. | |
From: Colin McGinn (Logical Properties [2000], Ch.5) | |
A reaction: If this is accepted, it is a really fatal objection to the theory. Russell tried to use the idea of 'congruency' between beliefs and reality, but that may be open to the same objection. McGinn is claiming that truth is essentially indefinable. |
6083 | The coherence theory of truth implies idealism, because facts are just coherent beliefs [McGinn] |
Full Idea: If 'snow falls from the sky' is true iff it coheres with other beliefs, this is a form of idealism; snow could surely fall from sky even if there were no beliefs in the world to cohere with each other. | |
From: Colin McGinn (Logical Properties [2000], Ch.5) | |
A reaction: The coherence theory of truth strikes me as yet another blunder involving a confusion of ontology and epistemology. Of course, idealism may be true, but I have yet to hear a good reason why I should abandon commonsense realism. |
6086 | Truth is the property of propositions that makes it possible to deduce facts [McGinn] |
Full Idea: Truth is a property of a proposition from which one can deduce the fact stated by the proposition. | |
From: Colin McGinn (Logical Properties [2000], Ch.5) | |
A reaction: This is McGinn's explanation of the disquotational account of truth ('p' is true iff p). The redundancy theorist would reply that you can deduce p from 'p' without mentioning truth, but it remains to ask why this deduction is possible. |
6087 | Without the disquotation device for truth, you could never form beliefs from others' testimony [McGinn] |
Full Idea: Imagine being in a community which had no concept of truth; ..you cannot disquote on p and hence form beliefs about the world as a result of testimony, since you lack the device of disquotation that is the essence of truth. | |
From: Colin McGinn (Logical Properties [2000], Ch.5) | |
A reaction: Whether his theory is right or not, the observation that testimony is the really crucial area where we must have a notion of truth is very good. How about 'truth is what turns propositions into beliefs'? |
6051 | In 'x is F and x is G' we must assume the identity of x in the two statements [McGinn] |
Full Idea: If we say 'for some x, x is F and x is G' we are making tacit appeal to the idea of identity in using 'x' twice here: it has to be the same object that is both F and G. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: This may well be broadened to any utterances whatsoever. The only remaining question is to speculate about whether it is possible to think without identities. The Hopi presumably gave identity to processes rather objects. How does God think? |
6055 | Both non-contradiction and excluded middle need identity in their formulation [McGinn] |
Full Idea: To formulate the law of non-contradiction ('nothing can be both F and non-F') and the law of excluded middle ('everything is either F or it is not-F'), we need the concept of identity (in 'nothing' and 'everything'). | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: Two good examples in McGinn's argument that identity is basic to all thinking. But the argument also works to say that necessity is basic (since both laws claim it) and properties are basic. Let's just declare everything 'basic', and we can all go home. |
6059 | Identity is unitary, indefinable, fundamental and a genuine relation [McGinn] |
Full Idea: I have endorsed four main theses about identity: it is unitary, it is indefinable, it is fundamental, and it is a genuine relation | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: That it is fundamental to our thinking seems certain (but to all possible thought?). That it is a relation looks worth questioning. One might challenge unitary by comparing the identity of numbers, values, electrons and continents. I can't define it. |
11863 | (λx)[Man x] means 'the property x has iff x is a man'. [Wiggins] |
Full Idea: The Lambda Abstraction Operator: We can write (λx)[Man x], which may be read as 'the property that any x has just if x is a man'. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 4.2) | |
A reaction: This technical device seems to be a commonplace in modern metaphysical discussions. I'm assuming it can be used to discuss properties without venturing into second-order logic. Presumably we could call the property here 'humanity'. |
6067 | Existential quantifiers just express the quantity of things, leaving existence to the predicate 'exists' [McGinn] |
Full Idea: What the existential quantifier does is indicate the quantity of things in question - it says that some are; it is left up to the predicate 'exists' to express existence. | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: This seems right. The whole quantification business seems like a conjuring trick to conceal the embarrassingly indefinable and 'metaphysical' notion of 'existence'. Cf Idea 7697. |
6042 | The quantifier is overrated as an analytical tool [McGinn] |
Full Idea: The quantifier has been overrated as a tool of logical and linguistic analysis. | |
From: Colin McGinn (Logical Properties [2000], Pref) | |
A reaction: I find this proposal quite thrilling. Twentieth century analytical philosophy has been in thrall to logic, giving the upper hand in philosophical discussion to the logicians, who are often not very good at philosophy. |
6069 | 'Partial quantifier' would be a better name than 'existential quantifier', as no existence would be implied [McGinn] |
Full Idea: We would do much better to call 'some' the 'partial quantifier' (rather than the 'existential quantifier'), on analogy with the universal quantifier - as neither of them logically implies existence. | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: Like McGinn's other suggestions in this chapter, this strikes me as a potentially huge clarification in linguistic analysis. I wait with interest to see whether the philosophical logicians take it up. I bet they don't. |
6068 | We need an Intentional Quantifier ("some of the things we talk about.."), so existence goes into the proposition [McGinn] |
Full Idea: We could introduce an 'intentional quantifier' (Ix) which means 'some of the things we talk about..'; we could then say 'some of the things we talk about are F and exist' (Ix, x is F and x exists). | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: This immediately strikes me as a promising contribution to the analytical toolkit. McGinn is supporting his view that existence is a predicate, and so belongs inside the proposition, not outside. |
6070 | Existence is a primary quality, non-existence a secondary quality [McGinn] |
Full Idea: Existence is like a primary quality; non-existence is like a secondary quality. | |
From: Colin McGinn (Logical Properties [2000], Ch.2 n29) | |
A reaction: Since McGinn thinks existence really is a property, and hence, presumably, a predicate, I don't quite see why he uses the word "like". A nicely pithy and thought-provoking remark. |
14746 | What exists can't depend on our conceptual scheme, and using all conceptual schemes is too liberal [Sider on Wiggins] |
Full Idea: It would be incredible if what there is, rather than what we select for attention, depends on human activity and our conceptual scheme. One might expand to possible sortal concepts, rather than our language, but that amounts to four-dimensionalism. | |
From: comment on David Wiggins (Sameness and Substance Renewed [2001]) by Theodore Sider - Four Dimensionalism 5.3 | |
A reaction: [compression of a nice anti-Wiggins paragraph] He suggests that Wiggins is seeking an intermediate course (between narrow chauvinism about concepts, and excessive liberalism) in a discussion of natural kinds versus artifacts. |
6062 | Existence can't be analysed as instantiating a property, as instantiation requires existence [McGinn] |
Full Idea: Paraphrasing existence statements into statements about the instantiation of a property does not establish that existence is not a predicate, since the notion of instantiation must be taken to have existence built into it. | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: Thank you, Colin McGinn! This now strikes me as so obvious that it is astonishing that for the whole of the twentieth century no one seems to have said it. For a century philosophers had swept the ontological dirt under the mat. |
6065 | We can't analyse the sentence 'something exists' in terms of instantiated properties [McGinn] |
Full Idea: The problems of the orthodox view are made vivid by analysis of the sentence 'something exists'; this is meaningful and true, but what property are we saying is instantiated here? | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: A very nice point. McGinn claims that existence is a property, a very generalised one. Personally I don't think anyone is even remotely clear what a property is, so the whole discussion is a bit premature. Must properties have causal powers? |
6082 | If causal power is the test for reality, that will exclude necessities and possibilities [McGinn] |
Full Idea: Whether my body weight is necessary or contingent makes no difference at all to my causal powers, so modality is epiphenomenal; if you took causal potential as a test of reality you would have to declare modes unreal. | |
From: Colin McGinn (Logical Properties [2000], Ch.4) | |
A reaction: We could try analysing modality into causal terms, as Lewis proposes with quantification across worlds, or as Quine proposes by reduction to natural regularities. I am not sure what it would mean to declare that modes are 'real'. |
6075 | Facts are object-plus-extension, or property-plus-set-of-properties, or object-plus-property [McGinn] |
Full Idea: A fact may be an object and an extension (Quine's view), or a property and a set of properties, or an object and a property; the view I favour is the third one, which seems the most natural. | |
From: Colin McGinn (Logical Properties [2000], Ch.3) | |
A reaction: Personally I tend to use the word 'fact' in a realist and non-linguistic way. There must be innumerable inexpressible facts, such as the single pattern made by all the particles of the universe. McGinn seems to be talking of 'atomic facts'. See Idea 6111. |
11900 | We can accept criteria of distinctness and persistence, without making the counterfactual claims [Mackie,P on Wiggins] |
Full Idea: We might agree with Wiggins's theory of individuation, but reject his thesis that a thing's principle of individuation (of distinctness and persistence) must be preserved in all counterfactual situations. | |
From: comment on David Wiggins (Sameness and Substance Renewed [2001]) by Penelope Mackie - How Things Might Have Been 8.7 | |
A reaction: I'm not even convinced that initial individuation consists of falling under a sortal, and I prefer to discuss the powers of the thing, rather than counterfactual facts about behaviour. |
11870 | Activity individuates natural things, functions do artefacts, and intentions do artworks [Wiggins] |
Full Idea: What a principle of activity does completely for a natural thing, and the function does imperfectly for an ordinary artefact, the artist's conception of his own making of the work must do for the painting. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 4.12) | |
A reaction: This nicely sums up Wiggins on individuation, and he seems to effectively elide individuation with essence. I certainly feel uneasy that a work of art needs a quite separate account from other artefacts. Surely it is just that we are fussier about them? |
11866 | The idea of 'thisness' is better expressed with designation/predication and particular/universal [Wiggins] |
Full Idea: It is hard to think of anything true and significant that could not be said using the idea of thisness not better said while respectiving the distinctions designation/predication and particular/universal. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 4.7) | |
A reaction: Politis calls 'thisness' the 'ultimate subject of predication', so it is covered in logic by the name for an object. But we need to understand objects, and not just refer to them, and I'm not sure that 'universals' advance our understanding. |
11896 | A sortal essence is a thing's principle of individuation [Wiggins, by Mackie,P] |
Full Idea: Wiggins bases sortal essentialism on the notion that a thing's principle of individuation is essential to it. | |
From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Penelope Mackie - How Things Might Have Been 7.1 | |
A reaction: This idea has failed to make much impression on me. I seem to be the only person who doesn't understand the concept of 'individuation'. Please let me know exactly what it means. Type individuation is not individual individuation, I presume. |
11841 | The evening star is the same planet but not the same star as the morning star, since it is not a star [Wiggins] |
Full Idea: The evening star is the same planet but not the same star as the morning star. For Venus is not a star. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.3) | |
A reaction: This is a nice objection to the idea that identity is entirely a matter of falling under the same sortal category. |
15835 | Wiggins's sortal essentialism rests on a thing's principle of individuation [Wiggins, by Mackie,P] |
Full Idea: Wiggins bases sortal essentialism on the notion that a thing's principle of individuation is essential to it. | |
From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Penelope Mackie - How Things Might Have Been 7.1 | |
A reaction: My problem with this is that individuation is a human activity, not an intrinsic feature of the entities in the external world. Entities presumably have a 'unity', but I'm not sure about a 'principle' that does that job, though Aristotle is sympathetic. |
10679 | 'Sortalism' says parts only compose a whole if it falls under a sort or kind [Wiggins, by Hossack] |
Full Idea: 'Sortalism' endorses the view that some things have parts, but denies that every collection of things composes something. Whenever there is a particular, there must be a sort or kind to which it belongs. | |
From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Keith Hossack - Plurals and Complexes 7 | |
A reaction: What is the status of 'the first of its kind'? This seems to say that a token only has identity if it has type-identity. This sounds wildly wrong to me. I've made a 'thing' for you, but I haven't decided what it is yet. |
14363 | Identity a=b is only possible with some concept to give persistence and existence conditions [Wiggins, by Strawson,P] |
Full Idea: Wiggins says an identity a=b stands no chance of being true unless there is some concept f under which a falls and under which b falls, which 'determines identity, persistence and existence conditions for members of its extension'. | |
From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Peter F. Strawson - Review of 'Sameness and Substance' p.604 | |
A reaction: This is the first clear statement I have met of Wiggins's central idea, upon which his sortal essentialism is built. Strawson's exposition adds that each thing necessarily falls under the 'highest' appropriate sortal ('dog', rather than 'terrier'). |
14364 | A thing is necessarily its highest sortal kind, which entails an essential constitution [Wiggins, by Strawson,P] |
Full Idea: In Wiggins's theory, necessity carries over from the kind to constitution. If Toby is necessarily a dog and 'dog' is a natural kind term, then Toby necessarily has the constitution of a dog, the features of which make up the real essence of being a dog. | |
From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Peter F. Strawson - Review of 'Sameness and Substance' p.605 | |
A reaction: The essence will then presumably consist of all and only the characteristics which are shared by all dogs whatsoever. So how do you decide the borderline between wolf and dog? Why isn't a wolf a dog? |
11851 | Many predicates are purely generic, or pure determiners, rather than sortals [Wiggins] |
Full Idea: There are countless predicates in English that have the appearance of sortal predicates but are purely generic (animal, machine, artefact), or are pure determinables for sortal determination (space-occupier, entity, substance). | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.6) | |
A reaction: This is preparing the ground for a specification of a sortal which defines something essential as being the hallmark of identity. It is never quite clear to me whether Wiggins's case rests on a nominal or a real essence. |
11865 | The possibility of a property needs an essential sortal concept to conceive it [Wiggins] |
Full Idea: A thing could have a property only if its having the property could be conceived, and that requires some sortal concept which adequately answers the Aristotelian question what the thing is. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 4.5) | |
A reaction: [Algebra omitted!] The core idea of Wiggins's theory. It seems at first glance to be a revival of Aristotelian essentialism, but his view of that seems to merely involve falling into a category. He treats sortal concepts as Aristotle's 'primary being'. |
14744 | Objects can only coincide if they are of different kinds; trees can't coincide with other trees [Wiggins, by Sider] |
Full Idea: Wiggins says that coincidence is possible only between objects of different kinds. Trees and cats coincide with aggregates of matter, but never trees with trees or cats with cats. | |
From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Theodore Sider - Four Dimensionalism 5.3 | |
A reaction: At first glance this sounds quite plausible, but I think this commitment to the priority of kinds produces huge confusion, given that we only derive our notions of kinds from inductions derived from individuals. Language perpetuates old inductions. |
11852 | Is the Pope's crown one crown, if it is made of many crowns? [Wiggins] |
Full Idea: The Pope's crown is made of crowns. There is no definite answer, when the Pope is wearing his crown, to the question 'how many crowns does he have on his head?' | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.7) | |
A reaction: A very nice example, in which the identity of the item seems clear enough, until you try to apply a sortal to it. I can't get excited about it, though, because calling it one 'crown' creates uncertainty, but calling it the 'Pope's crown' doesn't. |
11875 | Boundaries are not crucial to mountains, so they are determinate without a determinate extent [Wiggins] |
Full Idea: It can be perfectly determinate which mountain x is without x's extent's being determinate. A mountain is not, after all, something essentially demarcated by its extent or boundary. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 6.5) | |
A reaction: This endorses something I have always wanted to assert ('a vague boundary is still a boundary'), but with the interesting addition that one might think about vagueness in terms of what is essential to a thing. Hm.... |
14749 | Identity is an atemporal relation, but composition is relative to times [Wiggins, by Sider] |
Full Idea: Wiggins points out that identity is an atemporal relation whereas composition, like parthood, holds only relative to times. | |
From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Theodore Sider - Four Dimensionalism 5.3 | |
A reaction: If David Cameron is identical to the Prime Minister, that doesn't seem to be atemporal. If x=7 in this problem, I can change x to something else in the next problem. x had better not be equal to 7 and to 9. |
11844 | If I destroy an item, I do not destroy each part of it [Wiggins] |
Full Idea: If I repair or destroy an item, I do not repair or destroy each part of it (and since each part of a part is a part this would be difficult). | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.6) | |
A reaction: This seems like a nice refutation of any attempt to claim that a thing is no more than the sum of its parts, but one could analyse the notion of 'destroy', and find it just meant introducing gaps between parts. |
11861 | We can forget about individual or particularized essences [Wiggins] |
Full Idea: Let us be realistic, and forget about individual or particularized essences. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 4.2) | |
A reaction: This is the rather weird position you reach if you follow Wiggins's 'modest' essentialism, deriving from a thing merely falling under a sortal, or into a category. What is a natural kind, if its members don't each have a shared essence? |
11871 | Essences are not explanations, but individuations [Wiggins] |
Full Idea: Essences of natural things are not fancified vacuities parading themselves ...as the ultimate explanation of everything that happens in the world. They are natures whose possession is a precondition of their owners being divided from the rest of reality. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 5.2) | |
A reaction: Thus Wiggins rejects the explanation account of essence, with an assertion of his own (highly implausible) view that essence is about individuation rather than about behaviour. Individuation strikes me as an entirely human activity, and not 'real'. |
11879 | Essentialism is best represented as a predicate-modifier: □(a exists → a is F) [Wiggins, by Mackie,P] |
Full Idea: Wiggins's proposal of a predicate-modifier account is the best formal representation of essential statements. ...This simple version is perfectly adequate to represent the claim that a is essentially-F: □(a exists → a is F). | |
From: report of David Wiggins (Sameness and Substance Renewed [2001], Ch.4) by Penelope Mackie - How Things Might Have Been 1.2 | |
A reaction: I suppose that is right. Having an essence is a feature of an entity, but it has to boil done to characteristics that define the entity, and which it must presumably always have. Could an entity ever lack its essence? |
11835 | The nominal essence is the idea behind a name used for sorting [Wiggins] |
Full Idea: Things being ranked under Names into sorts only as they agree with certain abstract ideas, to which we have annexed the Names, the essence of each sort comes to nothing but that abstract idea which the sortal name stands for. This is the nominal Essence. | |
From: David Wiggins (Sameness and Substance Renewed [2001], III.iii.15) | |
A reaction: He contrasts 'nominal essence' with 'real essence'. A key passage for David Wiggins. One shouldn't put too much emphasis on nominal essence, since it means that someone referred to as 'that idiot over there' (you, perhaps) is necessarily an idiot. |
11876 | It is easier to go from horses to horse-stages than from horse-stages to horses [Wiggins] |
Full Idea: If horse-stages made sense at all, it would be easier to go from horses to horse-stages than to go from horse-stages to horses. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 6.9) | |
A reaction: A nice remark, analogous to 'it is easier to break a vase than to mend it'. Going from horse-stages to horses is the classic difficulty for 'bundle theories' (of objects, or persons): what is it that unites the bundle? |
11858 | The question is not what gets the title 'Theseus' Ship', but what is identical with the original [Wiggins] |
Full Idea: Let us remember that the title in question is not the title to the sobriquet 'Theseus' Ship'; it is the title to identity with Theseus' ship, a particular ship originating from the eighth century B.C. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 3.4) | |
A reaction: There is an assumption here that identity is defined by origin. What is the origin of the identity of those huge football clubs that began under the name of some village team in 1875? What is the origin of 'England' as a single entity? |
11843 | Identity over a time and at a time aren't different concepts [Wiggins] |
Full Idea: People often speak of identity over time and distinguish it from identity at a time. But identity is just identity. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.3) | |
A reaction: I myself am guilty of such usage, but it doesn't imply a commitment to a multivocal concept. The epistemological issues (of explaining what it is now, and simply reidentifying it later) seem profoundly different. Hume only admits identity over time. |
11864 | Hesperus=Hesperus, and Phosphorus=Hesperus, so necessarily Phosphorus=Hesperus [Wiggins] |
Full Idea: The simple proof (from Ruth Barcan Marcus) is: Hesperus is necessarily Hesperus, so if Phosphorus is Hesperus, then Phosphorus is necessarily Hesperus. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 4.3) | |
A reaction: This is the famous idea which she noticed well before Kripke. The point is that the simple logic of the case bestows a necessity on the identity. We shouldn't be confused by the a posteriori and contingent nature of the discovery. |
6058 | Identity propositions are not always tautological, and have a key epistemic role [McGinn] |
Full Idea: Identity propositions are not always analytic or a priori (as Frege long ago taught us) so there is nothing trivial about such propositions; the claim of redundancy ignores the epistemic role that the concept of identity plays. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: He is referring to Frege's Morning Star/Evening Star distinction (Idea 4972). Wittgenstein wanted to eliminate our basic metaphysics by relabelling it as analytic or tautological, but his project failed. Long live metaphysics! |
11831 | The formal properties of identity are reflexivity and Leibniz's Law [Wiggins] |
Full Idea: The formal properties of identity are the reflexivity of identity, and Leibniz's Law (if x is the same as y, then whatever is true of one is true of the other). | |
From: David Wiggins (Sameness and Substance Renewed [2001], Pr.2) | |
A reaction: Presumably transitivity will also apply, and, indeed, symmetry. He seems to mean something like the 'axiomatic formal properties'. |
6053 | Identity is as basic as any concept could ever be [McGinn] |
Full Idea: Identity has a universality and basicness that is hard to overstate; concepts don't get more basic than this - or more indispensable. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: I agree with this. It seems to me to follow that the natural numbers are just as basic, because they are entailed by the separateness of the identities of things. And the whole of mathematics is the science of the patterns within these numbers. |
14362 | Relative Identity is incompatible with the Indiscernibility of Identicals [Wiggins, by Strawson,P] |
Full Idea: Wiggins argues that Geach's Relative Identity is incompatible with the formal properties of identity, which include, besides transitivity, symmetry and reflexivity, the complete community of properties defined by the Indiscernibility of Identicals. | |
From: report of David Wiggins (Sameness and Substance Renewed [2001]) by Peter F. Strawson - Review of 'Sameness and Substance' p.603 | |
A reaction: The tricky part is that Wiggins then goes on to say that identity depends on sortals, which sounds very close to the Geach view. I find disentangling them tricky. See Idea 14363 for a helpful comment from Strawson. |
11838 | Relativity of Identity makes identity entirely depend on a category [Wiggins] |
Full Idea: The thesis of Relativity of Identity (which I steadfastly oppose) ..suggests that it makes all the difference to keeping track of continuants through space and time which concept one subsumes something under. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 1.1) | |
A reaction: [Geach I take to be the villain of this idea] The point is that identity is entirely relative to the sortal concept, where Wiggins wants to make identity a combination of the object itself and our concept of it (I think). |
11847 | To identify two items, we must have a common sort for them [Wiggins] |
Full Idea: As a necessary condition of the truth of an identity claim, some common sort f will have to be found to which they each belong. That is the point at which the primary question of identity can come into focus. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.2) | |
A reaction: This is the plainest English expression I can find of Wiggins's main thesis. He maintains this thesis, while adamantly denying the idea that identity consists entirely of falling under a concept. |
6043 | Type-identity is close similarity in qualities [McGinn] |
Full Idea: Two things are said to be type-identical when they are similar enough to be declared qualitatively identical. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: A simple point which brings out the fact that type-identity is unlikely to be any sort of true identity (unless there is absolutely no different at all between two electrons, say). |
6045 | It is best to drop types of identity, and speak of 'identity' or 'resemblance' [McGinn] |
Full Idea: It would be better to drop talk of 'numerical' and 'qualitative' identity altogether, speaking instead simply of identity and resemblance. | |
From: Colin McGinn (Logical Properties [2000], Ch.1 n4) | |
A reaction: This is the kind of beautifully simple proposal I pay analytical philosophers to come up with. I will attempt in future to talk either of 'identity' (which is strict), or 'resemblance' (which comes in degrees). |
6044 | Qualitative identity is really numerical identity of properties [McGinn] |
Full Idea: A statement of so-called qualitative identity is really a statement of numerical identity (that is, identity tout court) about the properties of the objects in question - assuming that there are genuine universals. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: We might agree that two cars are type-identical, even though (under the microscope) we decided that none of their properties were absolutely identical. |
6046 | Qualitative identity can be analysed into numerical identity of the type involved [McGinn] |
Full Idea: We can analyse qualitative identity in terms of numerical identity, by saying that x and y are type-identical if there is a single type T that x and y both are, i.e. they both exemplify the same type. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: This just seems to shift the problem onto the words 'are' and 'exemplify'. This takes us back to the problem of things 'partaking' of Plato's Forms. Better to say that qualitative identity isn't identity - it is resemblance (see Idea 6045). |
6054 | Sherlock Holmes does not exist, but he is self-identical [McGinn] |
Full Idea: Sherlock Holmes does not exist, but he is self-identical (he is certainly not indentical to Dr Watson). | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: Most significant. Identity does not entail existence; identity is necessary for existence (I think) but not sufficient. But the notion of existence might be prior to the notion of identity, and the creation of Holmes be parasitic on real existence. |
6066 | Existence is a property of all objects, but less universal than self-identity, which covers even conceivable objects [McGinn] |
Full Idea: Existence is a property universal to all objects that exist, somewhat like self-identity, but less universal, because self-identity holds of all conceivable objects, not merely those that happen to exist. | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: This is a splendidly defiant response to the Kantian slogan that 'existence is not a predicate', and I find McGinn persuasive. I can still not find anyone to explain to me exactly what a property is, so I will reserve judgement. |
6047 | All identity is necessary, though identity statements can be contingently true [McGinn] |
Full Idea: All identity is necessary, although there can be contingently true identity statements - those that contain non-rigid designators. | |
From: Colin McGinn (Logical Properties [2000], Ch.1 n5) | |
A reaction: A nice case of the need to keep epistemology and ontology separate. An example might be 'The Prime Minister wears a wig', where 'Prime Minister' may not be a rigid designator. 'Winston wears a wig' will be necessary, if true (which it wasn't). |
6048 | Leibniz's Law is so fundamental that it almost defines the concept of identity [McGinn] |
Full Idea: Leibniz's Law, which a defender of relative identity might opt to reject, is so fundamental to the notion of identity that rejecting it amounts to changing the subject. | |
From: Colin McGinn (Logical Properties [2000], Ch.1 n8) | |
A reaction: The Law here is the 'indiscernibility of identicals'. I agree with McGinn, and anyone who loses their grip on this notion of identity strikes me as losing all grip on reality, and threatening their own sanity (well, call it their 'philosophical sanity'). |
11845 | Substitutivity, and hence most reasoning, needs Leibniz's Law [Wiggins] |
Full Idea: Leibniz's Law underwrites the substitutivity of identity and this is a principle not long dispensable in any form of reasoning. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.7) | |
A reaction: Thus the modern fashion of deriving our metaphysics from our logic. Presumably we can derive it from our epistemology too, or even from our intuitions, if we thought they were good enough as evidence. |
11839 | Do both 'same f as' and '=' support Leibniz's Law? [Wiggins] |
Full Idea: Is Leibniz's Law as true for 'is the same as' as it is for '='? | |
From: David Wiggins (Sameness and Substance Renewed [2001], 1.2) | |
A reaction: [By Leibniz's Law he means if they are the same, they support the same truths] |
6049 | Leibniz's Law says 'x = y iff for all P, Px iff Py' [McGinn] |
Full Idea: Leibniz's Law says 'x = y iff for all P, Px iff Py'. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: That is, two things are the same if when we say that one thing (x) has a property (P), then we are saying that the other thing (y) also has the property. A usefully concise statement of the Law. |
6050 | Leibniz's Law presupposes the notion of property identity [McGinn] |
Full Idea: Leibniz's Law presupposes the notion of property identity. | |
From: Colin McGinn (Logical Properties [2000], Ch.1) | |
A reaction: A very important observation, because it leads to recognition of the way in which basic concepts and categories of thought interconnect. Which is more metaphysically basic, identity or properties? It is not easy to say… |
6080 | Modality is not objects or properties, but the type of binding of objects to properties [McGinn] |
Full Idea: Modality has a special ontological category: it consists neither in objects (possible worlds theory) nor in properties (predicate modifier view), but items I have called 'modes', ..which can be hard/soft/rigid/pliable binding of objects to properties. | |
From: Colin McGinn (Logical Properties [2000], Ch.4) | |
A reaction: As so often, McGinn is very persuasive. Essentially he is proposing that modality is adverbial. He associates the middle view with David Wiggins. |
6079 | If 'possible' is explained as quantification across worlds, there must be possible worlds [McGinn] |
Full Idea: If we replace modal words like 'possible' with quantification across worlds, clearly the notion of 'world' must exclude impossible worlds, otherwise 'possibly p' will be true if 'p' holds in an impossible world. | |
From: Colin McGinn (Logical Properties [2000], Ch.4) | |
A reaction: The point here, of course, is that the question is being begged of what 'possible' and 'impossible' actually mean. |
11869 | Possible worlds rest on the objects about which we have suppositions [Wiggins] |
Full Idea: Worlds are the shadows of our suppositions and they take on their identity from these. Suppositions take on their identity from (inter alia) the objects they relate to. If they sever themselves from these objects, then they collapse. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 4.11) | |
A reaction: Sounds good. My picture is of possibilities which are suggested by objecfs in the actual world, with extreme possibilities being at fifth-remove from actuality. Any worlds that go beyond natural possibility are just there for fun. |
11850 | Not every story corresponds to a possible world [Wiggins] |
Full Idea: It is perfectly notorious that not every story corresponds to a possible world. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.4) | |
A reaction: Thus a fantasy castle might be decorated with 'beautiful circular squares', or be threatened by a lump of enriched uranium twenty feet in diameter. Wiggins is replying to the claim that a possible world represents a 'story'. |
19553 | Commitment to 'I have a hand' only makes sense in a context where it has been doubted [Hawthorne] |
Full Idea: If I utter 'I know I have a hand' then I can only be reckoned a cooperative conversant by my interlocutors on the assumption that there was a real question as to whether I have a hand. | |
From: John Hawthorne (The Case for Closure [2005], 2) | |
A reaction: This seems to point to the contextualist approach to global scepticism, which concerns whether we are setting the bar high or low for 'knowledge'. |
6081 | Necessity and possibility are big threats to the empiricist view of knowledge [McGinn] |
Full Idea: It is clear that modality is a prima-facie threat to the usual kind of naturalistic-causal-empiricist theory of knowledge. | |
From: Colin McGinn (Logical Properties [2000], Ch.4) | |
A reaction: This is why modern empiricists spend of a lot of energy on trying to analyse counterfactuals and laws of nature. Rationalists are much happier to assert necessities a priori, but then they often don't have much basis for their claims. |
19551 | How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne] |
Full Idea: Those who deny skepticism but accept closure will have to explain how we know the various 'heavyweight' skeptical hypotheses to be false. Do we then twist the concept of knowledge to fit the twin desiderata of closue and anti-skepticism? | |
From: John Hawthorne (The Case for Closure [2005], Intro) | |
A reaction: [He is giving Dretske's view; Dretske says we do twist knowledge] Thus if I remember yesterday, that has the heavyweight implication that the past is real. Hawthorne nicely summarises why closure produces a philosophical problem. |
19552 | We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne] |
Full Idea: Maybe one cannot know the logical consequences of the proposition that one knows, on account of the fact that small risks add up to big risks. | |
From: John Hawthorne (The Case for Closure [2005], 1) | |
A reaction: The idea of closure is that the new knowledge has the certainty of logic, and each step is accepted. An array of receding propositions can lose reliability, but that shouldn't apply to logic implications. Assuming monotonic logic, of course. |
19554 | Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne] |
Full Idea: How could we know that P and Q but not be in a position to know that P (as deniers of closure must say)? If my glass is full of wine, we know 'g is full of wine, and not full of non-wine'. How can we deny that we know it is not full of non-wine? | |
From: John Hawthorne (The Case for Closure [2005], 2) | |
A reaction: Hawthorne merely raises this doubt. Dretske is concerned with heavyweight implications, but how do you accept lightweight implications like this one, and then suddenly reject them when they become too heavy? [see p.49] |
6071 | Scepticism about reality is possible because existence isn't part of appearances [McGinn] |
Full Idea: Scepticism about the external world is possible because you can never build existence into the appearances, so it must always be inferred or assumed. | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: When McGinn's claim that existence is a very universal property begins to produce interesting observations like this, I think we should take it very seriously. |
11848 | Asking 'what is it?' nicely points us to the persistence of a continuing entity [Wiggins] |
Full Idea: The special effectiveness of the 'what is it?' question is that, in the case of continuants, it refers us back to our constantly exercised idea of the persistence and life-span of an entity. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 2.2) | |
A reaction: Compare 'this is a human' with 'this is a member of a family noted for its longevity'. We can't simply answer 'what is it?' by tossing it into the nearest category. I say we need an individual essence for explanation, not just a sortal. |
11859 | The mind conceptualizes objects; yet objects impinge upon the mind [Wiggins] |
Full Idea: The mind conceptualizes objects; yet objects impinge upon the mind. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 3.6) | |
A reaction: I like this piece of simple common sense. I personally don't think you can reach first base in a sensible discussion if you don't face up to both sides of this idea (especially the second half, which many philosophers, especially of language, neglect). |
11836 | We can use 'concept' for the reference, and 'conception' for sense [Wiggins] |
Full Idea: We can use the Fregean 'concept' on the level of reference and naming, and prefer the word 'conception' for the Kantian idea of the sense, or the information needed to understand the concept. | |
From: David Wiggins (Sameness and Substance Renewed [2001], Pr.5) | |
A reaction: This is a nice suggestion, and at first blush I think it should be adopted. Sometimes philosophers regret adopting a terminology several hundred years after it has been agreed. |
6077 | Semantics should not be based on set-membership, but on instantiation of properties in objects [McGinn] |
Full Idea: Semantics should not employ the relationship of set-membership between objects and extensions, but rather the relation of instantiation between objects and properties. | |
From: Colin McGinn (Logical Properties [2000], Ch.3) | |
A reaction: At least this means that philosophers won't be required to read fat books on set theory, but they will have to think very carefully about 'instantiation'. A good start is the ideas on 'Partaking' of Platonic Forms in this database (in 'Universals'). |
6074 | Clearly predicates have extensions (applicable objects), but are the extensions part of their meaning? [McGinn] |
Full Idea: We are taught that predicates have extensions - the class of objects of which the predicate is true - which seems hard to deny; but a stronger claim is also made - that extensions are semantically relevant features of predicates. | |
From: Colin McGinn (Logical Properties [2000], Ch.3) | |
A reaction: He cites Quine as a spokesman for this view. McGinn is going on to challenge it, by defending universals. It seems to fit in with other externalist theories of concepts and meanings, none of which seems very appealing to me. |
11860 | Lawlike propensities are enough to individuate natural kinds [Wiggins] |
Full Idea: For all the purposes of identity and individuation of things that belong to natural kinds..., it is enough to have regard for the lawlike propensities of members of the kind. | |
From: David Wiggins (Sameness and Substance Renewed [2001], 4.1) | |
A reaction: This may have got things in reverse, since it is hard to see how you could pick out any laws if you didn't assume the existence of natural kinds which were causing the regularities in the behaviour. |
6072 | If Satan is the most imperfect conceivable being, he must have non-existence [McGinn] |
Full Idea: Satan cannot exist because he is the most imperfect conceivable being, and existence is one of the perfections. | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: The logic of this seems right to me. Presumably the theologians would hastily deny this as a definition of Satan; he must have some positive qualities (like power) in order to enact his supreme moral imperfections. NIce, though. |
6073 | I think the fault of the Ontological Argument is taking the original idea to be well-defined [McGinn] |
Full Idea: My own suspicion about the Ontological Argument is that the fault lies in taking notions like 'the most perfect, impressive and powerful being conceivable' to be well-defined. | |
From: Colin McGinn (Logical Properties [2000], Ch.2) | |
A reaction: I'm tempted to put it more strongly: the single greatest challenge for the theist with intellectual integrity is to give a clear and coherent definition of God. There must be no internal contradictions, and it must be within the bounds of possibility. |