88 ideas
16440 | I don't think Lewis's cost-benefit reflective equilibrium approach offers enough guidance [Stalnaker] |
Full Idea: Lewis articulated and made fashionable the cost-benefit reflective equilibrium methodology, but I have my reservations as it does not offer much guidance. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1.1) | |
A reaction: Stalnaker suggests that this approach has 'run amok' in Lewis's case, giving reality to possible worlds. He spends much effort on showing the 'benefits' of a profoundly implausible view. The same can be said of 4D Perdurantism. |
16468 | Non-S5 can talk of contingent or necessary necessities [Stalnaker] |
Full Idea: One can make sense of necessary versus contingent necessities in a non-S5 modal semantics. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 4.3 n17) | |
A reaction: In S5 □φ → □□φ, so all necessities are necessary. Does it make any sense to say 'I suppose this might have been necessarily true'? |
18823 | To say there could have been people who don't exist, but deny those possible things, rejects Barcan [Stalnaker, by Rumfitt] |
Full Idea: Stalnaker holds that there could have been people who do not actually exist, but he denies that there are things that could have been those people. That is, he denies the unrestricted validity of the Barcan Formula. | |
From: report of Robert C. Stalnaker (Counterparts and Identity [1987]) by Ian Rumfitt - The Boundary Stones of Thought 6.2 | |
A reaction: And quite right too, I should have thought. As they say, Jack Kennedy and Marilyn Monroe might have had a child, but the idea that we should accept some entity which might have been that child but wasn't sounds like nonsense. Except as fiction….. |
16449 | In modal set theory, sets only exist in a possible world if that world contains all of its members [Stalnaker] |
Full Idea: One principle of modal set theory should be uncontroversial: a set exists in a given possible world if and only if all of its members exist at that world. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 2.4) | |
A reaction: Does this mean there can be no set containing all of my ancestors and future descendants? In no world can we coexist. |
10775 | The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp] |
Full Idea: The main objection to the axiom of choice was that it had to be given by some law or definition, but since sets are arbitrary this seems irrelevant. Formalists consider it meaningless, but set-theorists consider it as true, and practically obvious. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §3) |
10766 | Logic is either for demonstration, or for characterizing structures [Tharp] |
Full Idea: One can distinguish at least two quite different senses of logic: as an instrument of demonstration, and perhaps as an instrument for the characterization of structures. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) | |
A reaction: This is trying to capture the proof-theory and semantic aspects, but merely 'characterizing' something sounds like a rather feeble aspiration for the semantic side of things. Isn't it to do with truth, rather than just rule-following? |
10767 | Elementary logic is complete, but cannot capture mathematics [Tharp] |
Full Idea: Elementary logic cannot characterize the usual mathematical structures, but seems to be distinguished by its completeness. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
10769 | Second-order logic isn't provable, but will express set-theory and classic problems [Tharp] |
Full Idea: The expressive power of second-order logic is too great to admit a proof procedure, but is adequate to express set-theoretical statements, and open questions such as the continuum hypothesis or the existence of big cardinals are easily stated. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
12766 | Logical space is abstracted from the actual world [Stalnaker] |
Full Idea: Logical space is not given independently of the individuals that occupy it, but is abstracted from the world as we find it. | |
From: Robert C. Stalnaker (Anti-essentialism [1979], p.85) | |
A reaction: I very much like the second half of this idea, and am delighted to find Stalnaker endorsing it. I take the logical connectives to be descriptions of how things behave, at a high level of generality. |
16464 | We regiment to get semantic structure, for evaluating arguments, and understanding complexities [Stalnaker] |
Full Idea: The point of regimentation is to give a perspicuous representation of the semantic structure of an expression, making it easier to evaluate the validity of arguments and to interpret complex statements. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 4.2) | |
A reaction: This is an authoritative summary from an expert of why all philosophers must take an interest in logical form. |
10762 | In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp] |
Full Idea: In sentential logic there is a simple proof that all truth functions, of any number of arguments, are definable from (say) 'not' and 'and'. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §0) | |
A reaction: The point of 'say' is that it can be got down to two connectives, and these are just the usual preferred pair. |
16465 | In 'S was F or some other than S was F', the disjuncts need S, but the whole disjunction doesn't [Stalnaker] |
Full Idea: In 'either Socrates was a philosopher or someone other than Socrates was a philosopher', both propositions expressed by the disjuncts depend for their existence on the existence of Socrates, but the whole disjunction does not. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 4.2) | |
A reaction: Nice example, just the sort of thing we pay philosophers to come up with. He is claiming that propositions can exist in possible worlds in which the individuals mentioned do not exist. |
16405 | To understand a name (unlike a description) picking the thing out is sufficient? [Stalnaker] |
Full Idea: If we ask 'what must you know to understand a name?', the naïve answer is that one must know who or what it names - nothing more. (But no one would give this answer about what is needed to understand a definite description). | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 4) | |
A reaction: Presumably this is naive because names can be full of meaning ('the Empress'), or description and reference together ('there's the man who robbed me') and so on. It's a nice starting point though. A number can serve as a name. |
10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
Full Idea: The symbols ∀ and ∃ may, to start with, be regarded as extrapolations of the truth functional connectives ∧ ('and') and ∨ ('or') to infinite domains. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §5) |
10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
Full Idea: One might add to one's logic an 'uncountable quantifier', or a 'Chang quantifier', or a 'two-argument quantifier', or 'Shelah's quantifier', or 'branching quantifiers'. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §3) | |
A reaction: [compressed - just listed for reference, if you collect quantifiers, like collecting butterflies] |
10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
Full Idea: Skolem deduced from the Löwenheim-Skolem theorem that 'the absolutist conceptions of Cantor's theory' are 'illusory'. I think it is clear that this conclusion would not follow even if elementary logic were in some sense the true logic, as Skolem assumed. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §7) | |
A reaction: [Tharp cites Skolem 1962 p.47] Kit Fine refers to accepters of this scepticism about the arithmetic of infinities as 'Skolemites'. |
10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp] |
Full Idea: The Löwenheim-Skolem property seems to be undesirable, in that it states a limitation concerning the distinctions the logic is capable of making, such as saying there are uncountably many reals ('Skolem's Paradox'). | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
10765 | Soundness would seem to be an essential requirement of a proof procedure [Tharp] |
Full Idea: Soundness would seem to be an essential requirement of a proof procedure, since there is little point in proving formulas which may turn out to be false under some interpretation. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
10763 | Completeness and compactness together give axiomatizability [Tharp] |
Full Idea: Putting completeness and compactness together, one has axiomatizability. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §1) |
10770 | If completeness fails there is no algorithm to list the valid formulas [Tharp] |
Full Idea: In general, if completeness fails there is no algorithm to list the valid formulas. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) | |
A reaction: I.e. the theory is not effectively enumerable. |
10771 | Compactness is important for major theories which have infinitely many axioms [Tharp] |
Full Idea: It is strange that compactness is often ignored in discussions of philosophy of logic, since the most important theories have infinitely many axioms. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) | |
A reaction: An example of infinite axioms is the induction schema in first-order Peano Arithmetic. |
10772 | Compactness blocks infinite expansion, and admits non-standard models [Tharp] |
Full Idea: The compactness condition seems to state some weakness of the logic (as if it were futile to add infinitely many hypotheses). To look at it another way, formalizations of (say) arithmetic will admit of non-standard models. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
10764 | A complete logic has an effective enumeration of the valid formulas [Tharp] |
Full Idea: A complete logic has an effective enumeration of the valid formulas. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) |
10768 | Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp] |
Full Idea: Despite completeness, the mere existence of an effective enumeration of the valid formulas will not, by itself, provide knowledge. For example, one might be able to prove that there is an effective enumeration, without being able to specify one. | |
From: Leslie H. Tharp (Which Logic is the Right Logic? [1975], §2) | |
A reaction: The point is that completeness is supposed to ensure knowledge (of what is valid but unprovable), and completeness entails effective enumerability, but more than the latter is needed to do the key job. |
16434 | Some say what exists must do so, and nothing else could possible exist [Stalnaker] |
Full Idea: Some philosophers deny there could have been anything other than what in fact exists, or that anything that exists could have failed to exist. This is developed in very different ways by Wittgenstein (in 'Tractatus'), Lewis and Williamson. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1) | |
A reaction: This could come in various strengths. A weak version would say that, empirically, that all talk of what doesn't exist is vacuous. A strong necessity (Williamson?) that totally rules out other possible existence is a very odd view. |
16439 | A nominalist view says existence is having spatio-temporal location [Stalnaker] |
Full Idea: A nominalist definition of existence is 'having spatio-temporal location'. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1.1) | |
A reaction: This would evidently be physicalist as well as nominalist. Presumably it fits the 'mosaic' of reality Lewis refers to. I find this view sympathetic. A process of abstraction is required to get the rest of the stuff we talk about. |
16443 | Properties are modal, involving possible situations where they are exemplified [Stalnaker] |
Full Idea: I take properties and relations to be modal notions. Properties are to be understood in terms of what it would be for them to be exemplified, which means understanding them in terms of a range of possible situations. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1.2) | |
A reaction: I can't make head or tail of a property as anything other than a feature of some entity. Treating properties as a 'range of situations' is just as baffling to me as treating them as sets of objects. |
16471 | I accept a hierarchy of properties of properties of properties [Stalnaker] |
Full Idea: I myself am prepared to accept higher-order properties and relations. There is the property of being Socrates, …and the property of being the property of being Socrates, ..and so on. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 4.4) | |
A reaction: Elsewhere I have quoted such a hierarchy of vacuous properties as an absurdity that arises if all predicates are treated as properties. Logicians can live with such stuff, given their set hierarchy and so on, but in science and life this is a nonsense. |
16452 | Dispositions have modal properties, of which properties things would have counterfactually [Stalnaker] |
Full Idea: Dispositional properties deserve special mention since they seem to be properties that have modal consequences - consequences for what properties the individuals that instantiate them would have in counterfactual circumstances. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 3.4) | |
A reaction: I take this to be the key idea in trying to understand modality, but Stalnaker makes this point and then moves swiftly on, because it is so far away from his possible worlds models, in which he has invested a lifetime. |
14617 | Predicates can't apply to what doesn't exist [Stalnaker] |
Full Idea: Nothing can be predicated of something which does not exist. | |
From: Robert C. Stalnaker (Merely Possible Propositions [2010], p.28) | |
A reaction: [He says he is 'agreeing with Plantinga' on this] This seems very puzzling, as you can obviously say that dragons do not exist, but they breathe fire. Why can't you attach predicates to hypothetical objects? |
12764 | For the bare particular view, properties must be features, not just groups of objects [Stalnaker] |
Full Idea: If we are to make sense of the bare particular theory, a property must be not just a rule for grouping individuals, but a feature of individuals in virtue of which they may be grouped. | |
From: Robert C. Stalnaker (Anti-essentialism [1979], p.76) | |
A reaction: He is offering an objection to the thoroughly extensional account of properties that is found in standard possible worlds semantics. Quite right too. We can't give up on the common sense notion of a property. |
16407 | Possible worlds allow separating all the properties, without hitting a bare particular [Stalnaker] |
Full Idea: The possible worlds framework suggests a way to express the idea that a particular is conceptually separable from its properties without relying on the rejected picture of a bare particular. | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 5) | |
A reaction: As I read him, Stalnaker's proposal just comes down to replacing each property in turn with a different one. 'Strip away' red by making it green. It being green in w1 doesn't throw extra light. Can it be a bare particular in w37? |
12761 | An essential property is one had in all the possible worlds where a thing exists [Stalnaker] |
Full Idea: If necessity is explained in terms of possible worlds, ...then an essential property is a property that a thing has in all possible worlds in which it exists. | |
From: Robert C. Stalnaker (Anti-essentialism [1979], p.71) | |
A reaction: This seems to me to be a quite shocking confusion of necessary properties with essential properties. The point is that utterly trivial properties can be necessary, but in no way part of the real essence of something. |
16467 | 'Socrates is essentially human' seems to say nothing could be Socrates if it was not human [Stalnaker] |
Full Idea: It seems natural to paraphrase the claim that Socrates is essentially human as the claim that nothing could be Socrates if it was not human. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 4.3) | |
A reaction: In ordinary speech it would be emphasising how very human Socrates was (in comparison with Frege, for example). By this token Socrates essentially breathes oxygen, but that is hardly part of his essence. |
12763 | Necessarily self-identical, or being what it is, or its world-indexed properties, aren't essential [Stalnaker] |
Full Idea: We can remain anti-essentialist while allowing some necessary properties: those essential to everything (self-identity), relational properties (being what it is), and world-indexed properties (being snub-nosed-only-in-Kronos). | |
From: Robert C. Stalnaker (Anti-essentialism [1979], p.73) | |
A reaction: [a summary] He defined essential properties as necessary properties (Idea 12761), and now backpeddles. World-indexed properties are an invention of Plantinga, as essential properties to don't limit individuals. But they are necessary, not essential! |
12762 | Bare particular anti-essentialism makes no sense within modal logic semantics [Stalnaker] |
Full Idea: I argue that one cannot make semantical sense out of bare particular anti-essentialism within the framework of standard semantics for modal logic. | |
From: Robert C. Stalnaker (Anti-essentialism [1979], p.71) | |
A reaction: Stalnaker characterises the bare particular view as ANTI-essentialist, because he has defined essence in terms of necessary properties. The bare particular seems to allow the possibility of Aristotle being a poached egg. |
16453 | The bundle theory makes the identity of indiscernibles a necessity, since the thing is the properties [Stalnaker] |
Full Idea: On the bundle theory, the identity of indiscernibles (for 'individuals') is a necessary truth, since an individual is just the co-instantiation of all the properties represented by a point in the space of properties. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 3.6) | |
A reaction: So much the worse for the bundle theory, I presume. Leibniz did not, I think, hold a bundle theory, but his belief in the identity of indiscernibles seems to have had a theologicial underpinning. |
16466 | Strong necessity is always true; weak necessity is cannot be false [Stalnaker] |
Full Idea: Prior had a strong and a weak reading of necessity, where strong necessity is truth in all possible worlds, while weak necessity is falsity in no possible world. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 4.3) | |
A reaction: [K.Fine 2005:Ch.9 is also cited] The point of the weak one is that in some worlds there might not exist the proposition which is the candidate for truth or falsehood. |
14286 | In nearby worlds where A is true, 'if A,B' is true or false if B is true or false [Stalnaker] |
Full Idea: Consider a possible world in which A is true and otherwise differs minimally from the actual world. 'If A, then B' is true (false) just in case B is true (false) in that possible world. | |
From: Robert C. Stalnaker (A Theory of Conditionals [1968], p.34), quoted by Dorothy Edgington - Conditionals (Stanf) 4.1 | |
A reaction: This is the first proposal to give a possible worlds semantics for conditional statements. Edgington observes that worlds which are nearby for me may not be nearby for you. |
10994 | Conditionals are true if minimal revision of the antecedent verifies the consequent [Stalnaker, by Read] |
Full Idea: Stalnaker proposes that a conditional is true if its consequent is true in the minimal revision in which the antecedent is true, that is, in the most similar possible world in which the antecedent is true. | |
From: report of Robert C. Stalnaker (works [1970]) by Stephen Read - Thinking About Logic Ch.3 | |
A reaction: A similar account of counterfactuals was taken up by Lewis to give a (rather dubious) account of causation. |
16438 | Necessity and possibility are fundamental, and there can be no reductive analysis of them [Stalnaker] |
Full Idea: My view is that if there were a nonmodal analysis of the modal concepts, that would be a sure sign that we were on the wrong track. Necessity and possibility are fundamental concepts, like truth and existence. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1.1) | |
A reaction: The mystery of modality is tied up with the mystery of time (which is a very big mystery indeed). You get a nice clear grip on the here and now, but time and motion whisk you away to something else. Modality concerns the something else. |
16422 | The necessity of a proposition concerns reality, not our words or concepts [Stalnaker] |
Full Idea: The necessity or contingency of a proposition has nothing to do with our concepts or the meanings of our words. The possibilities would have been the same even if we had never conceived of them. | |
From: Robert C. Stalnaker (Conceptual truth and metaphysical necessity [2003], 1) | |
A reaction: This sounds in need of qualification, since some of the propositions will be explicitly about words and concepts. Still, I like this idea. |
16423 | Conceptual possibilities are metaphysical possibilities we can conceive of [Stalnaker] |
Full Idea: Conceptual possibilities are just (metaphysical) possibilities that we can conceive of. | |
From: Robert C. Stalnaker (Conceptual truth and metaphysical necessity [2003], 1) |
16436 | Modal concepts are central to the actual world, and shouldn't need extravagant metaphysics [Stalnaker] |
Full Idea: Modal concepts are central to our understanding of the world - the actual world - and understanding them should not require extravagant metaphysical commitments. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1) | |
A reaction: I agree. Personally I think powers and dispositions do the job nicely. You just have to embrace Leibniz's emphasis on the active nature of reality, and the implausible metaphysics starts to recede. |
16421 | Critics say there are just an a priori necessary part, and an a posteriori contingent part [Stalnaker] |
Full Idea: Critics say there are no irreducible a posteriori truths. They can be factored into a part that is necessary, but knowable a priori through conceptual analysis, and a part knowable only a posteriori, but contingent. 2-D semantics makes this precise. | |
From: Robert C. Stalnaker (Conceptual truth and metaphysical necessity [2003], 1) | |
A reaction: [Critics are Sidelle, Jackson and Chalmers] Interesting. If gold is necessarily atomic number 79, or it wouldn't be gold, that sounds like an analytic truth about gold. Discovering the 79 wasn't a discovery of a necessity. Stalnaker rejects this idea. |
16429 | A 'centred' world is an ordered triple of world, individual and time [Stalnaker] |
Full Idea: A 'centred' possible world is an ordered triple consisting of a possible world, an individual in the domain of that world, and a time. | |
From: Robert C. Stalnaker (Conceptual truth and metaphysical necessity [2003], 2) |
16397 | If it might be true, it might be true in particular ways, and possible worlds describe such ways [Stalnaker] |
Full Idea: A clarifying assumption is that if something might be true, then it might be true in some particular way. …Possible worlds begin from this, and the assumption that what might be true can be described as how a possibility might be realised. | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 2) | |
A reaction: This is a leading practitioner giving his best shot at explaining the rationale of the possible worlds approach, addressed to many sceptics. Most sceptics, I think, don't understand the qualifications the practitioners apply to their game. |
16399 | Possible worlds are ontologically neutral, but a commitment to possibilities remains [Stalnaker] |
Full Idea: I argue for the metaphysical neutrality of the possible worlds framework, but I do not suggest that its use is free of ontological commitment to possibilities (ways things might be, counterfactual situations, possible states of worlds). | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 2) | |
A reaction: Glad to hear this, as I have always been puzzled at possible aspirations to eliminate modality (such as possibility) by introducing 'possible' worlds. Commitment to possibilities I take to be basic and unavoidable. |
16398 | Possible worlds allow discussion of modality without controversial modal auxiliaries [Stalnaker] |
Full Idea: The main benefit of the possible worlds move is to permit one to paraphrase modal claims in an extensional language that has quantifiers, but no modal auxiliaries, so the semantic stucture of modal discourse can be discussed without the controversies. | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 2) | |
A reaction: The strategy introduces the controversy of possible worlds instead, but since they just boil down to collections of objects with properties, classical logic can reign. Possible worlds are one strategy alongside many others. |
16433 | Given actualism, how can there be possible individuals, other than the actual ones? [Stalnaker] |
Full Idea: My main focus is on how, on an actualist interpretation of possible worlds as ways a world might be, one is to account for the possibility that there be individuals other than those that actually exist. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], Pref) | |
A reaction: The obvious thought would be that they are constructions from components of actual individuals, such as the chimaera, or fictional characters. We need some psychology here, which is not Stalnaker's style. |
14285 | A possible world is the ontological analogue of hypothetical beliefs [Stalnaker] |
Full Idea: A possible world is the ontological analogue of a stock of hypothetical beliefs. | |
From: Robert C. Stalnaker (A Theory of Conditionals [1968], p.34), quoted by Dorothy Edgington - Conditionals (Stanf) 4.1 | |
A reaction: Sounds neat and persuasive. What is the ontological analogue of a stock of hopes? Heaven! |
15793 | We can take 'ways things might have been' as irreducible elements in our ontology [Stalnaker, by Lycan] |
Full Idea: Stalnaker suggests talking 'ways things might have been' as sui generis elements of our ontology - actual abstract entities in their own right, not to be reduced to more familiar items. | |
From: report of Robert C. Stalnaker (Possible Worlds [1976]) by William Lycan - The Trouble with Possible Worlds 09 | |
A reaction: This seems to rest on an ontology of 'states of affairs', favoured by Armstrong, and implied in the Tractatus. How big is a state of affairs? How manys states of affairs can be co-present? |
16396 | Kripke's possible worlds are methodological, not metaphysical [Stalnaker] |
Full Idea: The possible worlds framework that Kripke introduces should be understood not as a metaphysical theory, but as a methodological framework. | |
From: Robert C. Stalnaker (Reference and Necessity [1997], Intro) | |
A reaction: That's certainly how I see possible worlds. I lose no sleep over whether they exist. I just take a set of possible worlds to be like cells in a spreadsheet, or records in a database. |
16437 | Possible worlds are properties [Stalnaker] |
Full Idea: Possible worlds are (to a first approximation) properties. [p.12] They are properties of the total universe. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1) |
16444 | Possible worlds don't reduce modality, they regiment it to reveal its structure [Stalnaker] |
Full Idea: It is not reduction (of modality) but regimentation that the possible-worlds framework provides - a procedure for representing modal discourse, using primitive modal notions, in a way that helps reveal its structure. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1.2) | |
A reaction: I think this is exactly my view. All discussion of the ontology of possible worlds is irrelevant. They no more exist than variables in logic exist. They're good when they clarify, but dubious when they over-simplify. |
16445 | I think of worlds as cells (rather than points) in logical space [Stalnaker] |
Full Idea: I prefer to think of the possible worlds not as points in logical space but as cells of a relatively fine-grained partition of logical space - a partition that makes all the distinctions we need. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1.2) | |
A reaction: Since he regards possible worlds as simply a means of regimenting our understanding of modality, he can think of possible worlds in any way that suits him. I find it hard work tuning in to his vision. |
12765 | Why imagine that Babe Ruth might be a billiard ball; nothing useful could be said about the ball [Stalnaker] |
Full Idea: I cannot think of any point in making the counterfactual supposition that Babe Ruth is a billiard ball; there is nothing I can say about him in that imagined state that I could not just as well say about billiard balls that are not him. | |
From: Robert C. Stalnaker (Anti-essentialism [1979], p.79) | |
A reaction: A bizarrely circumspect semanticists way of saying that Ruth couldn't possibly be a billiard ball! Would he say the same about a group of old men in wheelchairs, one of whom IS Babe Ruth? |
16408 | Rigid designation seems to presuppose that differing worlds contain the same individuals [Stalnaker] |
Full Idea: A rigid designator is a designator that denotes the same individual in all possible worlds; doesn't this presuppose that the same individuals can be found in differing possible worlds? | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 5) | |
A reaction: This is part of Stalnaker's claim that Kripke already has a metaphysics in place when he starts on his semantics and his theory of reference. Kripke needs a global domain, not a variable domain. Possibilities suggest variable domains to me. |
16409 | Unlike Lewis, I defend an actualist version of counterpart theory [Stalnaker] |
Full Idea: I defend a version of counterpart theory that is quite different from Lewis's version, as it is tied to actualism (all that exists is part of the actual world) rather than possibilism (possible things may exist without actually existing). | |
From: Robert C. Stalnaker (Counterparts and Identity [1987], 1) | |
A reaction: This could be the theory I am after. I am sympathetic to both actualism and to counterpart theory. Off to the woodshed…. |
16411 | If possible worlds really differ, I can't be in more than one at a time [Stalnaker] |
Full Idea: Nothing can be in two places at once. If other possible worlds are really other universes, then clearly, you and I cannot be in them if we are here in this one. | |
From: Robert C. Stalnaker (Counterparts and Identity [1987], 2) | |
A reaction: This can be sensibly expressed without possible worlds. I can't embody my other possibilities while I am embodying this one (I'm too busy). Insofar as possible worlds are a good framework, they are just a precise map of common sense. |
16412 | If counterparts exist strictly in one world only, this seems to be extreme invariant essentialism [Stalnaker] |
Full Idea: Counterparts involve the thesis that domains of different possible worlds are disjoint: possible individuals exist in at most one possible world. This seems to suggest extreme essentialism, where nothing could differ from how it is. | |
From: Robert C. Stalnaker (Counterparts and Identity [1987], 2) | |
A reaction: He quotes Salmon (1981:236) as saying counterpart theory is particularly inflexible essentialism. This is a long way from my use of 'essentialism'. The problem is just the extent to which my counterpart is 'the same' as me. |
16454 | Modal properties depend on the choice of a counterpart, which is unconstrained by metaphysics [Stalnaker] |
Full Idea: Things have modal properties only relative to the choice of a counterpart relation, and the choice between alternative counterpart relations is not constrained by the metaphysics. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 3.6) | |
A reaction: Stalnaker is sympathetic to counterparts, but this strikes me as a powerful objection to the theory. I take the modal properties of something to be fixed by its actuality. |
16450 | Anti-haecceitism says there is no more to an individual than meeting some qualitative conditions [Stalnaker] |
Full Idea: The anti-haecceitist strategy holds that a purely qualitative characterisation of a possible world would be a complete characterisation; there is, on this view, nothing to being a particular individual other than meeting certain qualitative conditions. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 3) | |
A reaction: Not quite the same as the bundle theory of objects, which says the objects are the qualities. This is about individuation, not about ontology (I think). I don't like anti-haecceitism, but I also don't like haecceitism. Hmm. |
16428 | Meanings aren't in the head, but that is because they are abstract [Stalnaker] |
Full Idea: Meanings ain't in the head. Putnam's famous slogan actually fits Frege's anti-psychologism better than it fits Purnam's and Burge's anti-individualism. The point is that intensions of any kind are abstract objects. | |
From: Robert C. Stalnaker (Conceptual truth and metaphysical necessity [2003], 2) | |
A reaction: If intensions are abstract, that leaves (for me) the question of what they are abstracted from. I take it that there are specific brain events that are being abstractly characterised. What do we call those? |
16474 | How can we know what we are thinking, if content depends on something we don't know? [Stalnaker] |
Full Idea: How can we know what we ourselves are thinking if the very existence of the content of our thought may depend on facts of which we are ignorant? | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 5) | |
A reaction: This has always been my main doubt about externalism. I may defer to experts about what I intend by an 'elm' (Putnam's example), but what I mean by elm is thereby a fuzzy tall tree with indeterminate leaves. I don't know the meaning of 'elm'! |
16406 | If you don't know what you say you can't mean it; what people say usually fits what they mean [Stalnaker] |
Full Idea: If you don't know what you are saying then you don't mean what you say, and also speakers generally mean what they say (in that what they say coincides with what they mean). | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 4) | |
A reaction: Both these thoughts seem completely acceptable and correct, but rely on something called 'meaning' that is distinct from saying. I would express this in terms of propositions, which I take to be mental events. |
16404 | In the use of a name, many individuals are causally involved, but they aren't all the referent [Stalnaker] |
Full Idea: The causal theory of reference is criticised for vagueness. Causal connections are ubiquitous, and there are obviously many individuals that are causally implicated in the speaker's use of a name, but they aren't all plausible candidates for the referent. | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 4) | |
A reaction: This seems to be a very good objection. Among all the causal links back to some baptised object, we have to pick out the referential link, which needs a criterion. |
16432 | One view says the causal story is built into the description that is the name's content [Stalnaker] |
Full Idea: In 'causal descriptivism' the causal story is built into the description that is the content of the name (and also incorporates a rigidifying operator to ensure that the descriptions that names abbreviate have wide scope). | |
From: Robert C. Stalnaker (Conceptual truth and metaphysical necessity [2003], 5) | |
A reaction: Not very controversial, I would say, since virtually every fact about the world has a 'causal story' built into it. Must we insist on rigidity in order to have wide scope? |
16403 | 'Descriptive' semantics gives a system for a language; 'foundational' semantics give underlying facts [Stalnaker] |
Full Idea: 'Descriptive' semantics gives a semantics for the language without saying how practice explains why the semantics is right; …'foundational' semantics concerns the facts that give expressions their semantic values. | |
From: Robert C. Stalnaker (Reference and Necessity [1997], §1) | |
A reaction: [compressed] Sounds parallel to the syntax/semantics distinction, or proof-theoretical and semantic validity. Or the sense/reference distinction! Or object language/metalanguage. Shall I go on? |
16461 | We still lack an agreed semantics for quantifiers in natural language [Stalnaker] |
Full Idea: We still do not know how to give a direct semantics for the quantifiers of a natural language; that is something that we still do not know how to do (or at least how it is done remains controversial). | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 4) | |
A reaction: I am struck by how rapidly the domain of quantification changes, even in mid-sentence, in the course of an ordinary conversation. This is decided almost entirely by context, not by pure ('direct'?) semantics. |
16401 | To understand an utterance, you must understand what the world would be like if it is true [Stalnaker] |
Full Idea: To understand what is said in an utterance of 'The first dog born at sea was a basset hound', one needs to know what the world would have been like in order for what was said in that utterance to be true. | |
From: Robert C. Stalnaker (Reference and Necessity [1997], 3) | |
A reaction: Put like that, the idea is undeniable. Understanding involves truth conditions. Does mean involve the understanding of the meaning. What do you understand when you understand a sentence? Just facts about dogs? Or something in the sentence? |
16410 | Extensional semantics has individuals and sets; modal semantics has intensions, functions of world to extension [Stalnaker] |
Full Idea: Semantic values in extensional semantics are extensions, like individuals for terms, and sets for predicates. In modal semantics we have intensions, functions from worlds to appropriate extensions. | |
From: Robert C. Stalnaker (Counterparts and Identity [1987], 2) | |
A reaction: It seems obvious that the meaning of a word like 'giraffe' must include possible giraffes, as well as actual and deceased giraffes. |
16448 | Possible world semantics may not reduce modality, but it can explain it [Stalnaker] |
Full Idea: Most theorists agree that possible worlds semantics cannot provide an analysis of modal concepts which is an eliminative reduction, but it can still provide an explanation of the meanings of modal expressions. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 2.2) | |
A reaction: Stalnaker cites Kit Fine for the view that there is no reduction of modality, which Fine takes to be primitive. Stalnaker defends the semantics, while denying the reduction which Lewis thought possible. |
16430 | Two-D says that a posteriori is primary and contingent, and the necessity is the secondary intension [Stalnaker] |
Full Idea: Two-dimensionalism says the necessity of a statement is constituted by the fact that the secondary intensions is a necessary proposition, and their a posteriori character is constituted by the fact that the associated primary intension is contingent. | |
From: Robert C. Stalnaker (Conceptual truth and metaphysical necessity [2003], 2) | |
A reaction: This view is found in Sidelle 1989, and then formalised by Jackson and Chalmers. I like metaphysical necessity, but I have some sympathy with the approach. The question must always be 'where does this necessity derive from'? |
16431 | In one view, the secondary intension is metasemantic, about how the thinker relates to the content [Stalnaker] |
Full Idea: On the metasemantic interpretation of the two-dimensional framework, the second dimension is used to represent the metasemantic facts about the relation between a thinker or speaker and the contents of her thoughts or utterances. | |
From: Robert C. Stalnaker (Conceptual truth and metaphysical necessity [2003], 4) | |
A reaction: I'm struggling to think what facts there might be about the relation between myself and the contents of my thoughts. I'm more or less constituted by my thoughts. |
16442 | I take propositions to be truth conditions [Stalnaker] |
Full Idea: I will defend the view that propositions are truth conditions. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 1.2) | |
A reaction: This sounds close to the Russellian view, which I take to equate propositions (roughly) with facts or states of affairs. But are 'truth conditions' in the world or in the head? |
16447 | A theory of propositions at least needs primitive properties of consistency and of truth [Stalnaker] |
Full Idea: A minimal theory of propositions can make do with just two primitive properties: a property of consistency applied to sets of propositions, and a property of truth applied to propositions. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 2) | |
A reaction: I would have thought a minimal theory would need some account of what a proposition is supposed to be (since there seems to be very little agreement about that). Stalnaker goes on to sketch a theory. |
14616 | A 'Russellian proposition' is an ordered sequence of individual, properties and relations [Stalnaker] |
Full Idea: A 'Russellian proposition' is an ordered sequence containing the individual, along with properties and relations. | |
From: Robert C. Stalnaker (Merely Possible Propositions [2010], p.22) | |
A reaction: Since Russell took properties and relations to be features of reality, this made the whole proposition a feature of reality. This is utterly different from what I understand by the word 'proposition', which is a feature of thought, not of the world. |
16446 | Propositions presumably don't exist if the things they refer to don't exist [Stalnaker] |
Full Idea: It seems plausible that singular propositions are object-dependent in the sense that the proposition would not exist if the individual did not. It is also plausible that some objects exist contingently, and there are singular propositions about them. | |
From: Robert C. Stalnaker (Mere Possibilities [2012], 2) | |
A reaction: This replies to the view that possible worlds are maximal sets of propositions, and so must exist for the worlds to exist; e.g. Lowe 1999:248. That is yet another commonplace of contemporary philosophy which I find utterly bewildering. |
18052 | An assertion aims to add to the content of a context [Stalnaker, by Magidor] |
Full Idea: Stalnaker starts with the general thesis that the role of a successful assertion of s is to update the context by adding to it the content of s. | |
From: report of Robert C. Stalnaker (Assertion [1978]) by Ofra Magidor - Category Mistakes 5.3.2 | |
A reaction: This is to be compared with criteria of meaningfulness, such as verificationism, and with Grice's rules of conversational implicature. Presumably if you assert what the context presupposes, you fail to assert, without being meaningless. |
14718 | An assertion is an attempt to rule out certain possibilities, narrowing things down for good planning [Stalnaker, by Schroeter] |
Full Idea: Stalnaker's guiding idea is that in making an assertion the speaker is trying to get the audience to rule out certain possibilities. ....If all goes well, further planning will proceed on the basis of a smaller and more accurate range of possibilities. | |
From: report of Robert C. Stalnaker (Assertion [1978]) by Laura Schroeter - Two-Dimensional Semantics | |
A reaction: This sounds intuitively rather plausible, and is a nice original thought. This is what we pay clever chaps like Stalnaker to come up with. It seems to imply some notion of verisimilitude (qv. under 'truth'), depending on how much narrowing happens. |
8122 | True works of art transmit completely new feelings [Tolstoy] |
Full Idea: Only that is a true work of art which transmits fresh feelings not previously experienced by man. | |
From: Leo Tolstoy (What is Art? [1898], Ch.9) | |
A reaction: I think a great composer will probably not have any new feelings at all, but will discover new expressions which contain feelings by which even they are surprised (e.g. the Tristan chord). |
8121 | Art is when one man uses external signs to hand on his feelings to another man [Tolstoy] |
Full Idea: Art is a human activity in which one man consciously by means of external signs, hands on to others feelings he has lived through, and other are infected by those feelings, and also experience them. | |
From: Leo Tolstoy (What is Art? [1898], Ch.5) | |
A reaction: Such definitions always work better for some art forms than for others. This may fit 'Anna Karenin' quite well, but probably not Bach's 'Art of Fugue'. Writing obscenities on someone's front door would fit this definition. |
8124 | The highest feelings of mankind can only be transmitted by art [Tolstoy] |
Full Idea: The highest feelings to which mankind has attained can only be transmitted from man to man by art. | |
From: Leo Tolstoy (What is Art? [1898], Ch.17) | |
A reaction: We are much more nervous these days of talking about 'highest' feelings. Tolstoy obviously considers religion to be an ingredient of the highest feelings, but that prevents us from judging them purely as feelings. Music is the place to rank feelings. |
8123 | The purpose of art is to help mankind to evolve better, more socially beneficial feelings [Tolstoy] |
Full Idea: The evolution of feeling proceeds by means of art - feelings less kind and less necessary for the well-being of mankind being replaced by others kinder and more needful for that end. That is the purpose of art. | |
From: Leo Tolstoy (What is Art? [1898], Ch.16) | |
A reaction: Underneath his superficially expressivist view of art, Tolstoy is really an old-fashioned moralist about it, like Dr Johnson. This is the moralism of the great age of the nineteenth century novel (which was, er, the greatest age of the novel!). |
22710 | People estimate art according to their moral values [Tolstoy] |
Full Idea: The estimation of the value of art …depends on men's perception of the meaning of life; depends on what they hold to be the good and evil of life. | |
From: Leo Tolstoy (What is Art? [1898]), quoted by Iris Murdoch - The Sublime and the Good p.206 | |
A reaction: [No ref given] This is put to the test by the insightful depiction of wickedness. We condemn the wickedness and admire the insight. Every reading of a novel is a moral journey, though I'm not sure how the true psychopath reads a novel. |
8125 | The upper classes put beauty first, and thus freed themselves from morality [Tolstoy] |
Full Idea: The people of the upper class, more and more frequently encountering the contradictions between beauty and goodness, put the ideal of beauty first, thus freeing themselves from the demands of morality. | |
From: Leo Tolstoy (What is Art? [1898], Ch.17) | |
A reaction: The rich are a great deal freer to pursue the demands of beauty than are the poor. They also have a tradition of 'immorality' (such as duels and adultery) which was in place long before they discovered art. |
8064 | We separate the concept of beauty from goodness, unlike the ancients [Tolstoy] |
Full Idea: The ancients had not that conception of beauty separated from goodness which forms the basis and aim of aesthetics in our time. | |
From: Leo Tolstoy (What is Art? [1898], Ch.3) | |
A reaction: This is written at around the time of the Aesthetic Movement, but Tolstoy's own novels are intensely moral. This separation makes abstract painting possible. |