==================== PART I: EXISTENCE ==================== W. V. Quine, _On What There Is_ Pegasus --- Should Pegasus be admitted into an ontology? Meinong and followers say yes (and draw a distinction between subsistence and existence), but Quine says no. In saying "Pegasus is not" there is no commitment to a Pegasus object. possible man --- Quine asks (of Meinongians): Is the possible fat man in the doorway the same possible man as the possible bald man in the doorway or are there two possible men? For Quine, there are no possible men. (See also Quine's From a Logical Point of View.) singular description --- Russell shows how to meaningfully use seeming names without supposing that there be the entities allegedly named. "The author of Waverley" need not have an objective reference to be meaningful. "Pegasus" can be rephrased as "the thing that pegasizes". naming and meaning --- A singular term (such as Pegasus) need not name to be significant. There is a gulf between meaning and naming. There is often a confusion between alleged named objects (Pegasus) and meanings (the meaning of the word "Pegasus"). Also, there can be different meanings of the same named object when named differently (morning star and evening star). Many more things have meaning than are names. commitments --- Only some things we say lead to ontological commitments; more explicitly, only such things as "There is something (bound variable) which red houses and sunsets have in common" entail commitments. To be assumed as an entity is to be reckoned as the value of a variable; to be is to be the value of a bound variable. I think what Quine is saying here (and I could be wrong) is that there are commitments when and only when there are sentences of one of two forms: (1) "there exists x such that ..." and (2) "for all x, where x ranges over a non-null domain, x ...". ***** Rudolph Carnap, _Empiricism, Semantics, and Ontology_ the debate --- The problem of abstract entities in connection with semantics, meaning, and truth. Some semanticists say that certain expressions including abstract entities like properties/predicates and propositions/sentences designate certain entities. Others object strongly as accepting abstract entities seems to violate the basic principles of empiricism. Carnap's aim --- use of language referring to abstract entities is compatible with empiricism and does not imply embracing Platonic realism. external questions --- To speak about a new kind of entities, one needs to introduce a system of new ways of speaking (framework). Questions can be asked within the framework (internal question) and outside of and about the framework (external questions). This is a crucial distinction for Carnap. External questions are the difficult (in fact, non-cognitive) ones. Carnap regards external questions (such as whether numbers are real entities) are pseudo-questions where those arguing both sides are not using the same language/background to argue. semantics --- "To accept the thing world means nothing more than to accept a certain form of language (framework).... The introduction of the new ways of speaking does not need any theoretical [external] justification because it does not imply any assertion of reality." designata --- "Those who criticize [statements like "The word 'red' designates a property of things"] do not reject the use of expressions like "red" nor would they deny that these expressions are meaningful. But to be meaningful, they say, is not the same as having a meaning in the sense of an entity designated." "Fido" is a name which designates Fido, but "red" does not designate anything. (Ryle, hypostatization) conclusion --- The decisive question for those who use semantical methods is whether the use of an abstract linguistic form is expedient and fruitful. The acceptance or rejection of abstract linguistic forms will be decided by their efficiency as instruments. "Let us be cautious in making assertions and critical in examining them, but tolerant in permitting linguistic forms." ***** Bertrand Russell, _Existence and Description_ subject --- general propositions and existence, existence in propositional calculus, universal and existential quantifiers, names and descriptions. propositions, prop functions, existence --- Propositions and propositional functions are often confused but they are very different. Propositions can be only true or false (2 values); propositional functions can be necessary, possible, or impossible (3 values). (This somewhat parallels true, false, and defined/exists, as with "Socrates is mortal", "Socrates is immortal", "there's no Socrates".) Existence is not a property of propositions but only of propositional functions (to say that unicorns exist is to say that (x is a unicorn) is possible. Existence propositions do not say anything about actual individuals, only about the class or function. names and descriptions --- Questions of existence concerning names cannot arise because a name has to name something to be a name. Often, though, what appears to be a name is a description; for example, Romulus is "the person who was called 'Romulus'". It is a significant statement (whether true or false) to say "Romulus existed"; it is not trivial because Romulus (himself) does not appear in the proposition. definite descriptions --- Definite descriptions are not names; "The inhabitant of London" is a definite description (although it doesn't refer to anyone) as is "the sum of 17 and 34". "The author of Waverley" is a description, while Scott is a name; English-speakers understand the meaning of the former, but the latter is not known; "Scott is the author of Waverley" is not a tautology, as would be the case if both were names. "The author of Waverley" is not a constituent of a proposition. existence --- To say "the author of Waverley exists" (description) is to say "x writes Waverley" is true for at least one x and at most one x. You can deny "The author of Waverley is human" by denying that he exists, but you can't deny "Scott is human" by denying the existence of Scott because Scott is a name and names require existence. This is a crucial difference between descriptions and names. "The author of Waverley" is an incomplete symbol, which does not have a meaning by itself, whereas "Scott" is a name referring to a single object. ***** Terence Parsons, _Referring to Nonexistent Objects_ purpose --- (1) argue for a difference between the way speakers treat empty singular terms and the way they treat singular terms that refer to objects that don't exist; (2) describe a theory about nonexistent objects; (3) sketch a theory of singular terms. referring to nonexistent objects --- Referring to nonexistent objects isn't failing to refer. Consider the difference between talking about a man in the doorway that one mistakenly thought they saw and talking about a unicorn one saw in a dream. The first case is one of failed reference; here the speaker realizes their mistaken and treats questions about the properties of the man in the door as spurious. The second case is one of reference to a nonexistent object; here questions about properties about the unicorn seem meaningful. paraphrase --- But does this mean there really are nonexistent objects? Or is it only that it sounds like there are in ordinary speech but this can be paraphrased away (as suggested by Carnap, Quine, etc)? Parsons says that no one knows how to produce such a paraphrase, and he finds this fairly good (though not conclusive) evidence for the belief that nonexistent objects can't be paraphrased away. So Parsons (like Meinong) thinks there are nonexistent objects (unicorns, Sherlock Holmes, etc). (See Meinong's The Theory of Objects.) nonexistent object --- What is a nonexistent object? It's an object that has a number of properties, but does not have the property of existing. To explain this in more detail, Parsons pairs up objects with sets of properties; for example, the object paired with {goldenness, mountainhood, ...} is a golden mountain, even though there are no real (existing) golden mountains. Similarly, there are impossible objects like Meinong's "round square"; there couldn't be an existing object which is round and square, but that doesn't prevent there from being an impossible object which is round and square. Also, Parsons clarifies a distinction between nuclear properties (most properties) and extranuclear properties (exists, is fictional, is possible, is thought about by someone, etc). singular terms --- singular terms and definite descriptions can be expressed in a predicate calculus language. Here quantifiers range over all objects (not just existing ones). So we could have "There are winged horses, and there are no existent winged horses" where the former says "there exists x where x has the nuclear properties of winged and horse" while the latter says "there doesn't exist x which has the above nuclear properties and the extranuclear property of existing". possible man in the doorway --- There's no such thing as the possible man in the doorway because there are lots of men there. truth --- we can truly say that the fictional detective Holmes was clever, but we can't truly say that the man in the doorway is clever when there exists no man in the doorway. conclusion --- names like "Pegasus" and "Sherlock Holmes" refer; they refer to nonexistent objects. ***** W. V. Quine, _Ontological Relativity_ main points --- indeterminacy of meaning, inscrutability of reference, ontology is (doubly) relative, makes sense only relative to a framework empiricist --- knowledge, mind, and meaning are part of the same world that they have to do with, and that they are to be studied empirically. (antirealist?) indeterminacy --- learning meaning is a matter of studying the behavior of others. There is no "museum" of words containing the fact of the matter about their meanings. For naturalism (Dewey, Quine) the question of whether two expressions have the same meaning has no determinate answer except in as the answer is settled by people's speech dispositions. translation between languages --- there is no single correct way to translate phrases between languages (e.g., "ne ... rien"). There is indeterminacy of meaning. gavagai --- Someone says "gavagai" when pointing at a rabbit, but at the same time they are pointing at undetached part of a rabbit, temporal stage of a rabbit, etc. The only difference between these three is individuation which Quine says is not something which can be determined by pure ostension. There is inscrutability of reference. within a language --- radical translation begins at home; we use words (slightly) differently than our neighbors, so there is an inscrutability of reference here too. framework --- Reference is not just nonsense; it is relative to our frame of reference (background language), and relative to that framework we can and do talk meaningfully; outside of that framework reference is nonsense. relativistic thesis --- it makes no sense to say what the objects of a theory are, beyond saying how to reinterpret that theory in another. circularity --- What makes ontological questions meaningless when taken absolutely is not universality but circularity. An answer to "What is an F?" of "An F is a G" only makes sense relative to the acceptance of "G". doubly relative --- ontology is doubly relative: specifying the universe of a theory makes sense only relative to some background theory, and only relative to some choice of a manual of translation of the one theory into the other. ==================== PART II: IDENTITY ==================== Max Black, _The Identity of Indiscernibles_ identity of indiscernibles --- Can there be two distinct objects which share all the same properties? If yes, then the identity of indiscernibles is false. One character in a dialog tries to present a counterexample with two indiscernible/identical spheres (Castor and Pollux). Can two things ever be truly indiscernible (share all of the same properties)? But (I think) it doesn't even make sense to say two things are identical; only one thing can be identical with itself. one fallacy --- Here's where I think the fallacy is. The identity of indiscernibles (Leibniz's law) doesn't say that if two objects share all the same properties, they are one and the same object. This doesn't make sense, as two objects can't be one object. The identity of indiscernibles is (perhaps) actually about names/labels, not about the objects themselves. It says if is is appropriate to say that for all properties P P(x) iff P(y), then x and y are two names for the same object. Two names can refer to the same single object, but two objects can't be the same single object. So there's still the problem of whether two things can have all of the same properties, but even if two things can have all of the same properties, this doesn't really disprove Leibniz's law. another fallacy --- I don't think two things can have all of the same properties, if we mean some sort of intrinsic properties. Consider identical twins. We might say two twins are identical, but that's really just shorthand for saying they are identical twins (not identical simpliciter). And I don't think it's possible for two spheres to be identical (the same thing, one object), but it is possible for two spheres to be identical spheres (or spherewise-identical). I guess this means I'm saying that this kind of identity is relative (like Perry?). ***** Saul Kripke, _Identity and Necessity_ main point --- Statements of identity are metaphysically necessary (not just contingent). argument against contingent identity --- (1) The law of the substitutivity of identicals says that for any objects x and y, if x is identical to y, then if x has a property F so does y. (2) Every object is necessarily self-identical. (3) Therefore if x and y are identical, they are necessarily identical. necessary, a priori --- Kripke says statements are necessary if, whenever the objects mentioned therein exist, the statement would be true. A necessary statement is true and could not have been otherwise. An a priori truth is one which can be known to be true independently of all experience. contingent identity statements --- "The first Postmaster General of the US is identical with the inventor of bifocals" (Wiggins). Kripke's answer is Russell's description; these are descriptions not references. rigid designator --- A rigid designator is one which designates the same object in all possible worlds (such as "Nixon" but not "the 37th president"). Ruth Barcan Marcus --- Whenever a and b are proper names, if a is b, then it is necessary that a is b. No contingent identity statements can be made with proper names. Kripke agrees with this although he concedes it may seem false. Kripke --- If names are rigid designators, then identities are necessary because "a" and "b" will be rigid designators of a certain thing x, and in every possible world a and b will both refer to this same object x. To take the many examples of "contingent" identity statements as contingent is to misconstrue the relation between a name and a description used to fix its reference. Quine --- Quine argues for contingent identity with the example "Hesperus is Phosphorus" which seems like an empirical truth which might have come out otherwise. Similarly (but not Quine) are claims that other empirical truths are contingent such as "heat is the motion of molecules", "water is H2O", "the mental state of being in pain is identical with a brain state". essentialism --- What are the essential properties of a particular lectern? Could this lectern have been made of ice? Or would it then have been a different object and not this very lectern? Butler said everything is what it is and not another thing; one only has the illusion of contingency. ***** John Perry, _The Same F_ main point --- Perry argues against Geach's thesis of relative for identity; for Geach to say "A and B are identical twins" is to say that "A and B are twin-wise identical" while for Perry (and Frege) it is to say that "A-the-twin is identical to B-the-twin". So the question really is, how to split up statements about sameness: In "A is the same F as B", does F refer to the way A and B are picked out or to the kind of sameness? Geach --- Geach's view is that it makes no sense to say "the same" unless we say "the same F". When one says "x is identical with y" what is really meant is "x is the same A as y". "Being the same horse" does not, for Geach (but does for Frege) split up into "being a horse" and "being the same as" (in much the same way as "being a better golfer" can't be split up into "being better than" and "being a golfer"). Perry/Frege --- According to Perry, the role of general terms is to identify the referents, not to identify the kind of identity. x and y cannot be the same F but different G. type/token --- Geach thinks a counterexample to Frege is "A is the same word type as B, but A and B are different word tokens". However, according to Perry, Geach is actually referring to two different things when he says "A" (and "B"). Perry understands the claim as "A-qua-type is the same as B-qua-type, and A-qua-token is different from B-qua-token" and there is no counterexample. clay/statue --- Similarly, to say "that is the same clay but not the same statue as you saw last week" is for Geach to say "that object is the same-clay as before", whereas for Perry it is to say "that statues is the same as before". To maintain this, Perry has to say that "this statue" and "this clay" are not referring to one and the same object; the clay and the statue are not identical. This seems like it is very likely to lead to problems, but Perry thinks that in fact they cannot be the same thing because they have different (temporal, modal, propositional) properties. my response --- I actually like both Geach and Perry's views. I don't think we are referring to the same thing when we refer to lump-qua-clay and as lump-qua-statue. Nor do I think we are talking about the same kind of identity when we compare two lumps-qua-clay or two lumps-qua-statue. I think both references to objects and kinds of identity are relative. For example, consider "2 == 2.0" and "2 neq 2.0"; we aren't saying "2 is numerically-equal to 2.0" (typed operator) nor are we saying that "2-the-number is equal to 2.0-the-number" (typed variable); instead we are saying "2-the-number is numerically-equal to 2.0-the-number (both typed operator and typed variable). ***** Allan Gibbard, _Contingent Identity_ purpose --- there are contingent identities (non-necessary truths) such as "The clay statue is identical with the piece of clay of which it is made." Kripke --- Gibbard takes Kripke as responding to the claim that necessary truth and a priori truth are the same. A necessary truth for Kripke is not a matter of how we can know it but of whether it might have been false if the world had been different. clay/statue --- Gibbard concedes that the Hesperus/Phosphorus and other examples are not instances of contingent identity, but believes he has an example of a contingent identity as follow: A statue (Goliath) and a piece of clay of which it is made (Lumpl) are identical if according to their persistence criteria they have the same duration of existence. contingent --- Goliath = Lumpl in W1 (this world), but it could have been the case in W2 (some counterfactual) that Goliath != Lumpl. Gibbard takes this to be inconsistent with Kripke's account of proper names. cross-world identity relative --- what a thing is apart from the way it is designated is a question without meaning. Meaningful cross-world identities of such things as statues must be identities qua something (qua statue or qua lump). It makes sense to talk of the same statue in different possible worlds but no sense to talk of the same thing. The reference of a name in the actual world is fixed partly by the persistence criteria. substitutivity of identicals --- objection to contingent identity is that it violates Leibniz' Law, for if Goliath is contingently identical with Lumpl, then although Nec(L=L) and L=G are true, Nec(L=G) is false. Gibbard's response is that Leibniz' Law is about properties and relations and doesn't apply in the relevant context (modal properties, dispositional properties). (I basically agree here that Leibniz' Law is true; it is just applied in a lot of situations where it is not applicable.) essentialism --- For Gibbard it makes no sense to talk of a concrete thing as fulfilling a condition in every possible world (necessarily) apart from designation; it is therefore meaningless to talk of the same concrete thing in different possible worlds, so there is no worry about essentialism. de re modality --- Under Gibbard's account there is no such thing as de re modality for concrete things. conclusion --- Shown: (1) there is a problem with cross-world identity, (2) contingent identity is possible, (3) alternative theory of proper names, (4) while accepting contingent identity and rejecting de re modality for concrete things, we can still have modal and dispositional properties of concrete things. my response --- I agree that if the clay and the statue are identical, that is a contingent identity, but I don't think the clay and the statue are identical in the sense of having the same properties (which is the kind of identity it seems that the other articles have been considering). They are identical in having the same matter, taking up the same space, etc. ***** Stephen Yablo, _Identity, Essence, and Indiscernibility_ point --- There are contingent identities (in fact these are required by essentialism), but contingent identities are not what Gibbard says they are, but rather contingent identity is categorical indiscernibility in a world. essentialism and contingent identiy --- Essentialism both allows for and requires contingent identity. examples --- A bust of Aristotle is necessarily a bust of Aristotle while a hunk of wax is only accidentally a bust of Aristotle. Speeding home is essentially done at a high speed; a certain instance of driving home only happens to be done at a high speed. identity-like --- It seems clear that driving is not identical with speeding, nor the bust with the wax, but that there is some intimate identity-like connection here. The driving and speeding have some strong relation which isn't captured by simply denying their identity. essence --- An essence is the set of all necessary properties for an entity to be what it is. Essences can be built up of other essences; for example, the essense of the Shroud of Turin is the essence of the Cloth of Turin plus the property of having enshrouded Jesus. contingent identity --- If two things agree in all their categorical properties (in a world), then so far as that world alone is concerned, the two things are the same; there is a case of contingent identity. The speeding home must be done quickly, but the same event when considered as driving home clearly could have been done slowly; it would then still be driving, but would not be speeding. restriction of Leibniz' law --- If a and b are the same concrete thing, then they have the same categorical properties. ==================== PART III: MODALITIES ==================== Alvin Plantinga, _Modalities: Basic Concepts and Distinctions_ necessity/contingency --- Rather than define necessity and contingency, Plantinga offers examples: "The average annual rainfall in LA is about 12 inches" is contingent, while "7+5=12" is necessary. de dicto/de re --- An example of a proposition with modality de dicto is "Necessarily nine is composite"; an example of modality de re is "Every animal in this room is necessarily rational." As an illustration of how different these are, consider that "What I am thinking of is essentially prime" might be true while "Necessarily, what I am thinking of is prime" is false. essentialism's object to de re modality --- Essentialism here is the claim that objects have some of their properties essentially or necessarily (and others accidentally). This might lead to problems with Leibniz' Law. Kneale --- Kneale reads sentences of the form "A has F essentially" as short for "The proposition A has F is necessarily true". Quine --- Mathematicians may be said to be necessarily rational and not necessarily bipedal; cyclists necessarily bipedal and not necessarily rationalist. What of someone who is both a cyclist and a mathematician? (See Quine's Word and Object) ***** Roderick Chisholm, _Identity through Possible Worlds_ trans-world individuals --- Accepting trans-world individuals (the same individual in multiple possible worlds) leads to many difficult questions. identity of indiscernibles --- Suppose Adam in this world lives 930 years and Adam in another world 931. In what sense are these the same Adam when they have a different property? One way is with world-indexed properties, which Chisholm shows to parallel time-indexed properties. Just as we can say "Adam has the property of being-young-at-time-t1 and the property of being-old-at-time-t2" without contradiction; we can say "Adam has the property of living-930-years-in-w1" and "Adam has the property of living-931-years-in-w2". Adam and Noah --- Imagine a series of possible worlds in which (roughly) Adam gradually gains properties usually associated with Noah and vice versa. Then we end up with a world wN in which Noah-of-wN is indiscernible from Adam-of-w1 and vice versa. How do we then tell the difference between w1 and wN? essential properties --- One way to avoid the Adam/Noah problem is to accept that individual things have essential properties. For example, for every entity x, there are certain properties N and E such that x has N in some possible worlds (but not all) and x has X in every possible world in which x exists. Moreover this are individual essences; for every y, if y has E in any possible world, then y is identical with x. That is, the properties E are essential to x. (Note a problem with this is that even if there are essential properties, we have no way of finding out what they are or even whether there are any.) ***** David Lewis, _Counterparts or Double Lives?_ purpose --- (1) address problems (such as accidental intrinsics) which accounts of modality which allow for trans-world identity/individuals must face; (2) defend counterpart theory against the trans-world individual theorist's objection (that counterparts do not express real possibility for the actual individual) by clarifying the counterpart relation; (3) consider (although I think ultimately reject) individuals as mereological sums of counterparts as a parallel to 4D perdurance through time. identity is unproblematic --- Everything is identical to itself and nothing is ever identical to anything else. Two things can never be identical; if they are identical there is only one thing. We state many problems in terms of identity, but this is not to say that identity is problematic. counterparts as representation of trans-world individuals --- It does happen that something which exists according to one world is identical with something which exists according to another. But for Lewis (I think), the key here is the according to. It does not happen that something which exists in one world is identical with something which exists in another. To say that Humphrey has possibilities is to say Humphrey is represented in absentia at other worlds, just as he may be represented in a museum; he is represented with a counterpart. objection to counterparts --- Kripke's objection is that counterpart theory doesn't satisfy our intuition that things could have gone differently for Humphrey; only that they are different from someone else who is Humphrey-like. The claim is that Humphrey could not care less whether someone else, no matter how much resembling him, would have done otherwise. I think the reply is along the lines that this is to misunderstand how strong the counterpart relation is; it represents possibiilty for the Humphrey of this world. trans-world identity --- Humphrey might lead a double life, being in both the actual and other worlds. Lewis rejects this. We need not have Humphrey himself in multiple worlds to explain possibility. problem of accidental intrinisics --- if there is overlap between worlds (the same Humphrey in multiple worlds), how can this common part of two worlds have different properties in one world than in the other? Consider: Humphrey has five fingers but he could have had six (Humphrey has six in another world). Lewis rejects having world-indexed properties (Humphrey is five-fingered-in-w1 and six-fingered-in-w2). Note that this problem only arises for accidential intrinsics, not for essential or extrinsic properties. However, Lewis' counterpart theory encounters no problem with accidental intrinsics; counterparts being not some kind of overlap can differ in intrinsic properties. persistence and time --- Something persists iff it exists at various points in time (persists through change). This can be done through endurance (by being wholly present at multiple times, 3D) or through perdurance (by having different temporal parts at different times, 4D). Lewis accepts the 4D view. parallel to time --- Endurance through time is analogous to trans-world identity of common parts of overlapping worlds; perdurance through time is analogous to the trans-world identity of a trans-world individual composed of distinct parts in non-overlapping worlds (no problem of temporal intrinsics). Lewis favors something like this composition, and considers perdurance rather than endurance. mereological summation and composition --- Consider three cases: I-90 in MA is I-90 in SD (spatial); the smaller tree in 1980 is the larger tree in 2003 (temporal); Humphrey in w1 is Humphrey in w2 (modal). None of these are actually cases on identity; instead what is being said can be rephrased as: I-90 in MA and I-90 in SD are both parts of the same thing (I-90); the tree in 1980 and the tree in 2003 are both temporal parts of the 4D tree; Humphrey in w1 and Humphrey in w2 are both parts of some larger Humphrey individual who is the sum of all Humphrey-counterparts. This explains how counterparts can satisify the intuitition that possibilities exist for Humphrey (himself). Lewis considers this to be counterpart theory in disguise, and in such a disguise that it is more acceptable to those who usually object to counterpart theory. problems with the above analogy --- The parallel between temporal and modal composition breaks down. Temporal parts of an ordinary thing are related by causal dependence; modal parts are not. Temporal parts have an ordering; modal parts do not. A person perduring through time has a collective self-interest; a person as the sum of counterparts does not. vagueness --- The reason it's vague where the outback begins is not that there's this thing, the outback, with imprecise borders; rather, there are many things, with different borders, and we don't enforce a choice of one of them as the official referent of the word "outback". Vagueness is semantic indecision. ***** Robert Adams, _Primitive Thisness and Primitive Identity_ purpose --- Adams defends his acceptance (non-qualitative) primitive thisness. thisness and suchness --- A thisness (haecceity) is the property of being identical with a certain particular individual. This is similar to an essence except it is nonqualitiative. A suchness is a qualitative property (example given is being a home-owner). For Leibniz, thisnesses are suchnesses; that is, there are individual essences which are qualitative properties which pick out individuals. Adams understands thisnesses as a primitive and not reducible to suchnesses. I think this means that Adams rejects the bundle theory of particulars. against the identity of indiscernibles --- I think Adams holds that it is possible for two things (like Black's spheres) to be qualitatively indiscernible but nonqualitatively discernible (by having different thisnesses) so that qualitative indiscernibility does not imply identity. almost indiscernible --- Adams provides an example of two near-indiscernible twins with only one qualitative difference. transworld identities --- Adams believes that accepting nonqualitative thisnesses leads to a strong argument for primitive trans-world identities. ***** D. M. Armstrong, _The Nature of Possibility_ purpose --- Armstrong defends a naturalistic, combinatorial theory of possibility. (That is, all there is the space-time world and possibilities are states of affairs of combinations of individuals and properties.) ontology --- Armstrong accepts atomic states of affairs, facts, individuals, monadic properties, and relations. states of affairs --- Atomic states of affairs are things like "a's being F" and "b's having R to c". Armstrong doesn't accept disjunctions and negations of atomic states of affairs are not allowed, but he does accept conjunctions to build up molecular states of affairs. There are also possible and merely possible states of affairs (and impossible states of affairs). Merely possible states of affairs don't exist or have any sort of being, but we can refer to them. Simple individuals, properties, and relations may be combined in all ways to yield possible atomic states of affairs. Wittgenstein worlds --- Molecular states of affairs thought of as totalities of being are possible worlds. A possible world must contain each simple individual, property, and relation, and nothing else. alien universals and individuals --- Armstrong denies the possibility of genuninely alien universals. The possible is determined by the actual. (I think the example he gives is that if there's no such actual universal redness, there's no possible universal redness; universals must be all possible states of affairs if they are to be in any. The combinatorialism is an actual world chauvinist. Alien individuals seem possible. Also note that Armstrong (roughly) says that quidditism is incompatible with alien universals and haecceitism is incompatible with alient individuals. contraction --- Any universal is contingent and need not be in all possible states of affairs. States of affairs must contain something and may not contain more than is in the actual world, but they can contain less than is in the actual. ==================== PART IV: UNIVERSALS ==================== D. M. Armstrong, _Universals as Attributes_ purpose --- To develop an ontology which allows for universals, but only instantiated universals, and only some of those (sparse Aristotelian realism), to add states of affairs to the ontology, and to consider thin and thick particulars and the relation between particulars and their properties. realism/nominalism --- For realists there are universals; Platonic realists hold that there are uninstantiated universals (universals before things) while Aristotelian realists hold that there are only instantiated universals (universals in things). Nominalists deny that there are universals (universals after things); nominalists include predicate, concept, class, and resemblance nominalists. Armstrong is an Aristotelian realist. Properties (universals) are the constituents of things. uninstatiated universals --- Armstrong rejects arguments for uninstantiated universals, such as the argument from meaning (that talking about unicorns is meaningful so there must be a corresponding universal for there to be meaning), and the idea of universals as ideals that are approximated. restricting universals --- Armstrong rejects disjunctions and negations of properties as universals, accepting only simple properties (including relations) and conjunctions. (I think he also rejects "being identical" and others.) There is no automatic passage from predicates (linguistic entities) to universals; here Armstrong takes himself to be agreeing with a main point of Wittgenstein's families of games example. While it's clear to Armstrong that not everything is a universal, he doesn't think there's an infalliable way of deciding what are the true universals, and if they are to be determined it is through science. states of affairs --- In addition to accepting particulars and universals (the properties which particulars instantiate), it seems that states of affairs (what others may call facts) are needed to tie them together (a's being F). Reasons for accepting states of affairs include that states of affairs are plausible candidates for the terms of causal relations and that states of affairs can explain multiple location of property universals. Note that states of affairs are required by those who recognize properties and relations, not just as universals but also as particulars (tropes). Think of the world as a world of states of affairs, with particulars and universals having existence only within states of affairs. particulars (thin and thick) --- Particulars outside of states of affairs are bare particulars, not clothed in any properties or relations. When we say "a is F" that's the is of instantiation, the fundamental tie between particulars and properties. Thin particulars are particulars apart from their properties, linked to properties by instantiation but not identical with them. Thick particulars are particulars involving their properties; thick particulars are states of affairs (enfolds both thin particulars and properties held together by instantiation). multiple instantiation --- A common charge agains Aristotelian realists is How can universals be located in two places at once? Armstrong's reply is that once properties and relations are thought of not as things but as ways it doesn't make sense to think of them as floating around anywhere. Talk of locating universals in space-time is a crude way of speaking. Universals are constituents of states of affairs; universals are in space-time by helping to constitute it. ***** David Lewis, _New Work for a Theory of Universals_ purpose --- Lewis rejects to Armstrong's theory of universals, concluding that (not-sparse) properties are needed for some purposes and that universal-like entities (natural properties) are useful in many ways (duplication, supervenience, divergence, materialism, laws, causation, language and thought). possibilia --- Although Lewis is a nominalist, he admits possibilia, particular individual things some of which compromise our actual world and others of which are unactualized. Lewis understands properties as classes of possibilia. universals vs properties --- Lewis takes universals to refer to Armstrong's (sparse and instantiated) universals. In contrast, Lewis' properties are classes; to have a property is to be a member of the related class. Universals are wholly present where instantiated; properties are spread around (particulars are members of properties). Universals are sparse; properties are abundant (any class of things is a property). This abundance of properties is a feature for some explanations (semantic predication, intensional attitudes), but doesn't help to explain others. Lewis seems to be saying that universals may be needed, but so are properties. natural properties --- Natural properties are a (spare) subset of proprerties, posited to explain resemblance and causal powers (among other things). Lewis' natural properties correspond to Armstrong's (intrinsic) universals. As such Lewis believes universals are not needed and replaces universals with natural properties; that is, Lewis' ontology contains all properties and marks out an elite subset of them as natural properties. uses of natural properties --- Uses of natural properties include: duplication (two things are qualitative duplicates if they have exactly the same perfectly natural properties); supervenience/reduction (where "A supervenes on B" means any difference in A requires a difference in B); divergence of worlds (two worlds are divergent if they have duplicate initial temporal segments, contrasted with branching); materialism (that physics is a correct, complete, comprehensive theory of the world); laws and causation (there is no necessary connection, unlike for Armstrong, and causation holds between events); and language. (Note that this summary is quite skimpy on the details; refer to Lewis's text for details.) ***** Sydney Shoemaker, _Causality and Properties_ purpose --- Shoemaker explain his theory that properties are causal powers and that causal relations hold between particular events in virtue of the properties possessed by the constituent objects of those events. events --- Events are usually taken as the terms of the causal relationships, but events consist of objects and their properties. That one event causes a second is explained by the constituent objects of the cause event. geunine properties --- A property is geunine iff its acquisition/loss by a thing constitutes geunine change. This is distinguished from mere Cambridge changes/properties such as being grue or being 17 miles south of some object (Geach). Geunine properties are the ones Shoemaker thinks are relevant for an explanation of causality. Hume --- Shoemaker, while holding a position which is in some ways similar to Hume's, is not a Humean. powers and properties --- For something to have a power is for it to be such that its presence in circumstances of a particular sort will have certain effects. It is in virtue of a thing's properties that the thing has the powers that it has (parallels a distinction made by Locke). Powers can be thought of as functions from circumstances to causal effects; properties are in some sense second-order powers (powers to produce first-order powers if combined with other properties). What makes a property the property it is is its potential for contributing to the causal powers of the things that have it. conditional power --- When a thing has a power conditionally upon the possession of certain properties, this amounts to its having a conditional power. (Example: A knife-shaped object has the conditional power of being able to cut wood if knife-sized and made of steel). epistemological reasons --- Shoemaker holds his theory of properties because he believes that only if some causal theory of properties is true can it be explained how properties are capable of engaging our knowledge/language in the way they do. We know/recognize properties by their effects. theoretical simplicity --- If the water supply was poisonous all day long, it is more plausible to suppose this was due to one posionous substance rather than several. identity across time/worlds --- There is a close link between identity across time and identity across possible worlds. The power or possibility of causing something must be present at time t if that something is to occur at time t+1. essences --- The totality of a property's causal potentialities constitutes an individual essence. necessity --- For Shoemaker, causal necessity is a species of logical necessity. Following Kripke, necessary truths need not be a priori. Shoemaker defends the sort of "necessary connection" which Hume refuses.