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All the ideas for 'Abstract Objects: a Case Study', 'Things qua Truthmakers' and 'Causal Explanation'

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17 ideas

3. Truth / A. Truth Problems / 6. Verisimilitude
Verisimilitude has proved hard to analyse, and seems to have several components [Lewis]
     Full Idea: The analysis of verisimilitude has been much debated. Some plausible analyses have failed disastrously, others conflict with one another. One conclusion is that verisimilitude seems to consist of several distinguishable virtues.
     From: David Lewis (Causal Explanation [1986], V n7)
     A reaction: Presumably if it is complex, you can approach truth in one respect while receding from it in another. It seems clear enough if you are calculating pi by some iterative process.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
     Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
     A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
     Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
     A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Every proposition is entirely about being [Lewis]
     Full Idea: Every proposition, no matter what subject matter it may have, is entirely about being.
     From: David Lewis (Things qua Truthmakers [2003], p.26), quoted by Trenton Merricks - Truth and Ontology 4.VI
     A reaction: Since Lewis's propositions are sets of possible worlds, I presume this claim is made because proposition relates to all of the possible worlds, which therefore presumably embody Being.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
A disposition needs a causal basis, a property in a certain causal role. Could the disposition be the property? [Lewis]
     Full Idea: I take for granted that a disposition requires a causal basis: one has the disposition iff one has a property that occupies a certain causal role. Shall we then identify the disposition with its basis? That makes the disposition cause its manifestations.
     From: David Lewis (Causal Explanation [1986], III)
     A reaction: Introduce the concept of a 'power' and I see no problem with his proposal. Fundamental dispositions are powerful, and provide the causal basis for complex dispositions. Something had better be powerful.
10. Modality / B. Possibility / 7. Chance
We can explain a chance event, but can never show why some other outcome did not occur [Lewis]
     Full Idea: I think we are right to explain chance events, yet we are right also to deny that we can ever explain why a chance process yields one outcome rather than another. We cannot explain why one event happened rather than the other.
     From: David Lewis (Causal Explanation [1986], VI)
     A reaction: This misses out an investigation which slowly reveals that a 'chance' event wasn't so chancey after all. Failure to explain confirms chance, so the judgement of chance shouldn't block attempts to explain.
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Does a good explanation produce understanding? That claim is just empty [Lewis]
     Full Idea: It is said that a good explanation ought to produce understanding, ...but this just says that a good explanation produces possession of that which it provide, so this desideratum is empty. It adds nothing to our understanding of explanation.
     From: David Lewis (Causal Explanation [1986], V)
     A reaction: I am not convinced by this dismissal. If you are looking for a test of whether an explanation is good, the announcement that the participants feel they have achieved a good understanding sounds like success.
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Science may well pursue generalised explanation, rather than laws [Lewis]
     Full Idea: The pursuit of general explanations may be very much more widespread in science than the pursuit of general laws.
     From: David Lewis (Causal Explanation [1986], IV)
     A reaction: Nice. I increasingly think that the main target of all enquiry is ever-widening generality, with no need to aspire to universality.
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
A good explanation is supposed to show that the event had to happen [Lewis]
     Full Idea: It is said that a good explanation ought to show that the explanandum event had to happen, given the laws and circumstances.
     From: David Lewis (Causal Explanation [1986], V)
     A reaction: I cautiously go along with this view. Given that there are necessities in nature (a long story), we should aim to reveal them. There is no higher aspiration open to us than successful explanation. Lewis says good explanations can reveal falsehoods.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Lewis endorses the thesis that all explanation of singular events is causal explanation [Lewis, by Psillos]
     Full Idea: Lewis endorses the thesis that all explanation of singular events is causal explanation.
     From: report of David Lewis (Causal Explanation [1986]) by Stathis Psillos - Causation and Explanation p.237
     A reaction: It is hard to challenge this. The assumption is that only nomological and causal explanations are possible, and the former are unobtainable for singular events.
To explain an event is to provide some information about its causal history [Lewis]
     Full Idea: Here is my main thesis: to explain an event is to provide some information about its causal history.
     From: David Lewis (Causal Explanation [1986], II)
     A reaction: The obvious thought is that you might provide some tiny and barely relevant part of that causal history, such as a bird perched on the Titanic's iceberg. So how do we distinguish the 'important' causal information?
26. Natural Theory / C. Causation / 2. Types of cause
Explaining match lighting in general is like explaining one lighting of a match [Lewis]
     Full Idea: Explaining why struck matches light in general is not so very different from explaining why some particular struck match lit. ...We may generalize modestly, without laying claim to universality.
     From: David Lewis (Causal Explanation [1986], IV)
     A reaction: A suggestive remark, since particular causation and general causation seem far apart, but Lewis suggests that the needs of explanation bring them together. Lawlike and unlawlike explanations?
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
Ways of carving causes may be natural, but never 'right' [Lewis]
     Full Idea: There is no one right way - though there may be more or less natural ways - of carving up a causal history.
     From: David Lewis (Causal Explanation [1986], I)
     A reaction: This invites a distinction between the 'natural' causes and the 'real' causes. Presumably if any causes were 'real', they would have a better claim to be 'right'. Is an earthquake the 'real' (correct?) cause of a tsunami?
We only pick 'the' cause for the purposes of some particular enquiry. [Lewis]
     Full Idea: Disagreement about 'the' cause is only disagreement about which part of the causal history is most salient for the purposes of some particular inquiry.
     From: David Lewis (Causal Explanation [1986], I)
     A reaction: I don't believe this. In the majority of cases I see the cause of an event, without having any interest in any particular enquiry. It is just so obvious that there isn't even a disagreement. Maybe there is only one sensible enquiry.
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Causal dependence is counterfactual dependence between events [Lewis]
     Full Idea: I take causal dependence to be counterfactual dependence, of a suitably back-tracking sort, between distinct events.
     From: David Lewis (Causal Explanation [1986], I)
     A reaction: He quotes Hume in support. 'Counterfactual dependence' strikes me as too vague, or merely descriptive, for the job of explanation. 'If...then' is a logical relationship; what is it in nature that justifies the dependency?