68 ideas
15357 | Philosophy is the most general intellectual discipline [Horsten] |
Full Idea: Philosophy is the most general intellectual discipline. | |
From: Leon Horsten (The Tarskian Turn [2011], 05.1) | |
A reaction: Very simple, but exactly how I see the subject. It is continuous with the sciences, and tries to give an account of nature, but operating at an extreme level of generality. It must respect the findings of science, but offer bold interpretations. |
15352 | A definition should allow the defined term to be eliminated [Horsten] |
Full Idea: A definition allows a defined term to be eliminated in every context in which it appears. | |
From: Leon Horsten (The Tarskian Turn [2011], 04.2) | |
A reaction: To do that, a definition had better be incredibly comprehensive, so that no nice nuance of the original term is thrown out. |
15323 | Truth is a property, because the truth predicate has an extension [Horsten] |
Full Idea: I take truth to be a property because the truth predicate has an extension - the collection of all true sentences - and this collection does not (unlike the 'extension' of 'exists') consist of everything, or even of all sentences. | |
From: Leon Horsten (The Tarskian Turn [2011], 01.1) | |
A reaction: He concedes that it may be an 'uninteresting' property. My problem is always that I am unconvinced that truth is tied to sentences. I can make perfect sense of animal thoughts being right or wrong. Extension of mental propositions? |
15324 | Semantic theories of truth seek models; axiomatic (syntactic) theories seek logical principles [Horsten] |
Full Idea: There are semantical theories of truth, concerned with models for languages containing the truth predicate, and axiomatic (or syntactic) theories, interested in basic logical principles governing the concept of truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 01.1) | |
A reaction: This is the map of contemporary debates, which seem now to have given up talking about 'correspondence', 'coherence' etc. |
15374 | Truth has no 'nature', but we should try to describe its behaviour in inferences [Horsten] |
Full Idea: We should not aim at describing the nature of truth because there is no such thing. Rather, we should aim at describing the inferential behaviour of truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 10.2.3) |
15348 | Propositions have sentence-like structures, so it matters little which bears the truth [Horsten] |
Full Idea: It makes little difference, at least in extensional contexts, whether the truth bearers are propositions or sentences (or assertions). Even if the bearers are propositions rather than sentences, propositions are structured rather like sentences. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.4) | |
A reaction: The 'extensional' context means you are only talking about the things that are referred to, and not about the way this is expressed. I prefer propositions, but this is an interesting point. |
15333 | Modern correspondence is said to be with the facts, not with true propositions [Horsten] |
Full Idea: Modern correspondence theorists no longer take things to correspond to true propositions; they consider facts to be the truthmakers of propositions. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.1) | |
A reaction: If we then define facts as the way certain things are, independently from our thinking about it, at least we seem to be avoiding circularity. Not much point in correspondence accounts if you are not a robust realist (like me). [14,000th idea, 23/4/12!] |
15337 | The correspondence 'theory' is too vague - about both 'correspondence' and 'facts' [Horsten] |
Full Idea: The principle difficulty of the correspondence theory of truth is its vagueness. It is too vague to be called a theory until more information is given about what is meant by the terms 'correspondence' and 'fact'. Facts can involve a heavy ontology. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.1) | |
A reaction: I see nothing here to make me give up my commitment to the correspondence view of truth, though it sounds as if I will have to give up the word 'theory' in that context. Truth is so obviously about thought fitting reality that there is nothing to discuss. |
15334 | The coherence theory allows multiple coherent wholes, which could contradict one another [Horsten] |
Full Idea: The coherence theory seems too liberal. It seems there can be more than one systematic whole which, while being internally coherent, contradict each other, and thus cannot all be true. Coherence is a necessary but not sufficient condition for truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.1) | |
A reaction: This is a modern post-Tarski axiomatic truth theorist making very short work indeed of the coherence theory of truth. I take Horsten to be correct. |
15336 | The pragmatic theory of truth is relative; useful for group A can be useless for group B [Horsten] |
Full Idea: The pragmatic theory is unsatisfactory because usefulness is a relative notion. One theory can be useful to group A while being thoroughly impractical for group B. This would make the theory both truth and false. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.1) | |
A reaction: This objection, along with the obvious fact that certain falsehoods can be very useful, would seem to rule pragmatism out as a theory of truth. It is, in fact, an abandonment of truth. |
15354 | Tarski's hierarchy lacks uniform truth, and depends on contingent factors [Horsten] |
Full Idea: According to the Tarskian hierarchical conception, truth is not a uniform notion. ...Also Kripke has emphasised that the level of a token of the truth predicate can depend on contingent factors, such as what else has been said by a speaker. | |
From: Leon Horsten (The Tarskian Turn [2011], 04.5) |
15340 | Tarski Bi-conditional: if you'll assert φ you'll assert φ-is-true - and also vice versa [Horsten] |
Full Idea: The axiom schema 'Sentence "phi;" is true iff φ' is the (unrestricted) Tarski-Biconditional, and is motivated by the thought that if you are willing to assume or outright assert that φ, you will assert that φ is true - and also vice versa. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.2) | |
A reaction: Very helpful! Most people are just bewildered by the Tarski bi-conditional ('"Snow is white"...), but this formulation nicely shows its minimal character while showing that it really does say something. It says what truths and truth-claims commit you to. |
15345 | Semantic theories have a regress problem in describing truth in the languages for the models [Horsten] |
Full Idea: Semantic theories give a class of models with a truth predicate, ...but Tarski taught us that this needs a more encompassing framework than its language...so how is the semantics of the framework expressed? The model route has a regress. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.3) | |
A reaction: [compressed] So this regress problem, of endless theories of truth going up the hierarchy, is Horsten's main reason for opting for axiomatic theories, which he then tries to strengthen, so that they are not quite so deflated. |
15332 | 'Reflexive' truth theories allow iterations (it is T that it is T that p) [Horsten] |
Full Idea: A theory of truth is 'reflexive' if it allows us to prove truth-iterations ("It is true that it is true that so-and-so"). | |
From: Leon Horsten (The Tarskian Turn [2011], 01.4) |
15346 | Axiomatic approaches to truth avoid the regress problem of semantic theories [Horsten] |
Full Idea: The axiomatic approach to truth does not suffer from the regress problem. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.3) | |
A reaction: See Idea 15345 for the regress problem. The difficulty then seems to be that axiomatic approaches lack expressive power, so the hunt is on for a set of axioms which will do a decent job. Fun work, if you can cope with it. |
15361 | A good theory of truth must be compositional (as well as deriving biconditionals) [Horsten] |
Full Idea: Deriving many Tarski-biconditionals is not a sufficient condition for being a good theory of truth. A good theory of truth must in addition do justice to the compositional nature of truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 06.1) |
15371 | An axiomatic theory needs to be of maximal strength, while being natural and sound [Horsten] |
Full Idea: The challenge is to find the arithmetically strongest axiomatical truth theory that is both natural and truth-theoretically sound. | |
From: Leon Horsten (The Tarskian Turn [2011], 07.7) |
15350 | The Naďve Theory takes the bi-conditionals as axioms, but it is inconsistent, and allows the Liar [Horsten] |
Full Idea: The Naďve Theory of Truth collects all the Tarski bi-conditionals of a language and takes them as axioms. But no consistent theory extending Peano arithmetic can prove all of them. It is inconsistent, and even formalises the liar paradox. | |
From: Leon Horsten (The Tarskian Turn [2011], 03.5.2) | |
A reaction: [compressed] This looks to me like the account of truth that Davidson was working with, since he just seemed to be compiling bi-conditionals for tricky cases. (Wrong! He championed the Compositional Theory, Horsten p.71) |
15351 | Axiomatic theories take truth as primitive, and propose some laws of truth as axioms [Horsten] |
Full Idea: In the axiomatic approach we take the truth predicate to express an irreducible, primitive notion. The meaning of the truth predicate is partially explicated by proposing certain laws of truth as basic principles, as axioms. | |
From: Leon Horsten (The Tarskian Turn [2011], 04.2) | |
A reaction: Judging by Horsten's book, this is a rather fruitful line of enquiry, but it still seems like a bit of a defeat to take truth as 'primitive'. Presumably you could add some vague notion of correspondence as the background picture. |
15367 | By adding truth to Peano Arithmetic we increase its power, so truth has mathematical content! [Horsten] |
Full Idea: It is surprising that just by adding to Peano Arithmetic principles concerning the notion of truth, we increase the mathematical strength of PA. So, contrary to expectations, the 'philosophical' notion of truth has real mathematical content. | |
From: Leon Horsten (The Tarskian Turn [2011], 06.4) | |
A reaction: Horsten invites us to be really boggled by this. All of this is in the Compositional Theory TC. It enables a proof of the consistency of arithmetic (but still won't escape Gödel's Second). |
15373 | Axiomatic approaches avoid limiting definitions to avoid the truth predicate, and limited sizes of models [Horsten] |
Full Idea: An adequate definition of truth can only be given for the fragment of our language that does not contain the truth predicate. A model can never encompass the whole of the domain of discourse of our language. The axiomatic approach avoids these problems. | |
From: Leon Horsten (The Tarskian Turn [2011], 10.1) |
15330 | Friedman-Sheard theory keeps classical logic and aims for maximum strength [Horsten] |
Full Idea: The Friedman-Sheard theory of truth holds onto classical logic and tries to construct a theory that is as strong as possible. | |
From: Leon Horsten (The Tarskian Turn [2011], 01.4) |
15331 | Kripke-Feferman has truth gaps, instead of classical logic, and aims for maximum strength [Horsten] |
Full Idea: If we abandon classical logic in favour of truth-value gaps and try to strengthen the theory, this leads to the Kripke-Feferman theory of truth, and variants of it. | |
From: Leon Horsten (The Tarskian Turn [2011], 01.4) |
15325 | Inferential deflationism says truth has no essence because no unrestricted logic governs the concept [Horsten] |
Full Idea: According to 'inferential deflationism', truth is a concept without a nature or an essence. This is betrayed by the fact that there are no unrestricted logical laws that govern the concept of truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 01.1) |
15356 | Deflationism concerns the nature and role of truth, but not its laws [Horsten] |
Full Idea: Deflationism is not a theory of the laws of truth. It is a view on the nature and role of the concept of truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 05 Intro) |
15344 | Deflationism skips definitions and models, and offers just accounts of basic laws of truth [Horsten] |
Full Idea: Contemporary deflationism about truth does not attempt to define truth, and does not rely on models containing the truth predicate. Instead they are interpretations of axiomatic theories of truth, containing only basic laws of truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.3) |
15368 | This deflationary account says truth has a role in generality, and in inference [Horsten] |
Full Idea: On the conception of deflationism developed in this book, the prime positive role of the truth predicate is to serve as a device for expressing generalities, and an inferential tool. | |
From: Leon Horsten (The Tarskian Turn [2011], 07.5) |
15358 | Deflationism says truth isn't a topic on its own - it just concerns what is true [Horsten] |
Full Idea: Deflationism says the theory of truth does not have a substantial domain of its own. The domain of the theory of truth consists of the bearers of truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 05.1) | |
A reaction: The immediate thought is that truth also concerns falsehoods, which would be inexplicable without it. If physics just concerns the physical, does that mean that physics lacks its own 'domain'? Generalising about the truths is a topic. |
15359 | Deflation: instead of asserting a sentence, we can treat it as an object with the truth-property [Horsten] |
Full Idea: The Deflationary view just says that instead of asserting a sentence, we can turn the sentence into an object and assert that this object has the property of truth. | |
From: Leon Horsten (The Tarskian Turn [2011], 05.2.2) | |
A reaction: That seems to leave a big question hanging, which concerns the nature of the property that is being attributed to this object. Quine 1970:10-13 says it is just a 'device'. Surely you can rest content with that as an account of truth? |
15329 | Nonclassical may accept T/F but deny applicability, or it may deny just T or F as well [Horsten] |
Full Idea: Some nonclassical logic stays close to classical, assuming two mutually exclusive truth values T and F, but some sentences fail to have one. Others have further truth values such as 'half truth', or dialethists allow some T and F at the same time. | |
From: Leon Horsten (The Tarskian Turn [2011], 01.2) | |
A reaction: I take that to say that the first lot accept bivalence but reject excluded middle (allowing 'truth value gaps'), while the second lot reject both. Bivalence gives the values available, and excluded middle says what has them. |
15326 | Doubt is thrown on classical logic by the way it so easily produces the liar paradox [Horsten] |
Full Idea: Aside from logic, so little is needed to generate the liar paradox that one wonders whether the laws of classical logic are unrestrictedly valid after all. (Many theories of truth have therefore been formulated in nonclassical logic.) | |
From: Leon Horsten (The Tarskian Turn [2011], 01.2) | |
A reaction: Kripke uses Strong Kleene logic for his theory. The implication is that debates discussed by Horsten actually have the status of classical logic at stake, as well as the nature of truth. |
15341 | Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten] |
Full Idea: The Deduction Theorem says ψ is derivable in classical predicate logic from ψ iff the sentence φ→ψ is a theorem of classical logic. Hence inferring φ to ψ is truth-preserving iff the axiom scheme φ→ψ is provable. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.2) | |
A reaction: Horsten offers this to show that the Tarski bi-conditionals can themselves be justified, and not just the rule of inference involved. Apparently you can only derive something if you first announce that you have the ability to derive it. Odd. |
15328 | A theory is 'non-conservative' if it facilitates new mathematical proofs [Horsten] |
Full Idea: A theory is 'non-conservative' if it allows us to prove mathematical facts that go beyond what the background mathematical theory can prove on its own. | |
From: Leon Horsten (The Tarskian Turn [2011], 01.4) | |
A reaction: This is an instance of the relationship with mathematics being used as the test case for explorations of logic. It is a standard research method, because it is so precise, but should not be mistaken for the last word about a theory. |
15349 | It is easier to imagine truth-value gaps (for the Liar, say) than for truth-value gluts (both T and F) [Horsten] |
Full Idea: It is easier to imagine what it is like for a sentence to lack a truth value than what it is like for a sentence to be both truth and false. So I am grudgingly willing to entertain the possibility that certain sentences (like the Liar) lack a truth value. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.5) | |
A reaction: Fans of truth value gluts are dialethists like Graham Priest. I'm with Horsten on this one. But in what way can a sentence be meaningful if it lacks a truth-value? He mentions unfulfilled presuppositions and indicative conditionals as gappy. |
15366 | Satisfaction is a primitive notion, and very liable to semantical paradoxes [Horsten] |
Full Idea: Satisfaction is a more primitive notion than truth, and it is even more susceptible to semantical paradoxes than the truth predicate. | |
From: Leon Horsten (The Tarskian Turn [2011], 06.3) | |
A reaction: The Liar is the best known paradox here. Tarski bases his account of truth on this primitive notion, so Horsten is pointing out the difficulties. |
15353 | The first incompleteness theorem means that consistency does not entail soundness [Horsten] |
Full Idea: It is a lesson of the first incompleteness theorem that consistency does not entail soundness. If we add the negation of the gödel sentence for PA as an extra axiom to PA, the result is consistent. This negation is false, so the theory is unsound. | |
From: Leon Horsten (The Tarskian Turn [2011], 04.3) |
15355 | Strengthened Liar: 'this sentence is not true in any context' - in no context can this be evaluated [Horsten] |
Full Idea: The Strengthened Liar sentence says 'this sentence is not true in any context'. It is not hard to figure out that there is no context in which the sentence can be coherently evaluated. | |
From: Leon Horsten (The Tarskian Turn [2011], 04.6) |
15364 | English expressions are denumerably infinite, but reals are nondenumerable, so many are unnameable [Horsten] |
Full Idea: The number of English expressions is denumerably infinite. But Cantor's theorem can be used to show that there are nondenumerably many real numbers. So not every real number has a (simple or complex name in English). | |
From: Leon Horsten (The Tarskian Turn [2011], 06.3) | |
A reaction: This really bothers me. Are we supposed to be committed to the existence of entities which are beyond our powers of naming? How precise must naming be? If I say 'pick a random real number', might that potentially name all of them? |
15360 | ZFC showed that the concept of set is mathematical, not logical, because of its existence claims [Horsten] |
Full Idea: One of the strengths of ZFC is that it shows that the concept of set is a mathematical concept. Many originally took it to be a logical concept. But ZFC makes mind-boggling existence claims, which should not follow if it was a logical concept. | |
From: Leon Horsten (The Tarskian Turn [2011], 05.2.3) | |
A reaction: This suggests that set theory is not just a way of expressing mathematics (see Benacerraf 1965), but that some aspect of mathematics has been revealed by it - maybe even its essential nature. |
15369 | Set theory is substantial over first-order arithmetic, because it enables new proofs [Horsten] |
Full Idea: The nonconservativeness of set theory over first-order arithmetic has done much to establish set theory as a substantial theory indeed. | |
From: Leon Horsten (The Tarskian Turn [2011], 07.5) | |
A reaction: Horsten goes on to point out the price paid, which is the whole new ontology which has to be added to the arithmetic. Who cares? It's all fictions anyway! |
15370 | Predicativism says mathematical definitions must not include the thing being defined [Horsten] |
Full Idea: Predicativism has it that a mathematical object (such as a set of numbers) cannot be defined by quantifying over a collection that includes that same mathematical object. To do so would be a violation of the vicious circle principle. | |
From: Leon Horsten (The Tarskian Turn [2011], 07.7) | |
A reaction: In other words, when you define an object you are obliged to predicate something new, and not just recycle the stuff you already have. |
15338 | We may believe in atomic facts, but surely not complex disjunctive ones? [Horsten] |
Full Idea: While positive and perhaps even negative atomic facts may be unproblematic, it seems excessive to commit oneself to the existence of logically complex facts such as disjunctive facts. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.1) | |
A reaction: Presumably it is hard to deny that very complex statements involving massive disjunctions can be true or false. But why does commitment to real facts have to involve a huge ontology? The ontology is just the ingredients of the fact, isn't it? |
15363 | In the supervaluationist account, disjunctions are not determined by their disjuncts [Horsten] |
Full Idea: If 'Britain is large' and 'Italy is large' lack truth values, then so must 'Britain or Italy is large' - so on the supervaluationist account the truth value of a disjunction is not determined by the truth values of its disjuncts. | |
From: Leon Horsten (The Tarskian Turn [2011], 06.2) | |
A reaction: Compare Idea 15362 to get the full picture here. |
15362 | If 'Italy is large' lacks truth, so must 'Italy is not large'; but classical logic says it's large or it isn't [Horsten] |
Full Idea: If 'Italy is a large country' lacks a truth value, then so too, presumably, does 'Italy is not a large country'. But 'Italy is or is not a large country' is true, on the supervaluationist account, because it is a truth of classical propositional logic. | |
From: Leon Horsten (The Tarskian Turn [2011], 06.2) | |
A reaction: See also Idea 15363. He cites Fine 1975. |
13065 | Understanding is an extremely vague concept [Salmon] |
Full Idea: Understanding is an extremely vague concept. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 4.3) | |
A reaction: True, I suppose, but we usually recognise understanding when we encounter it, and everybody has a pretty clear notion of an 'increase' in understanding. I suspect that the concept is perfectly clear, but we lack any scale for measuring it. |
13047 | It is knowing 'why' that gives scientific understanding, not knowing 'that' [Salmon] |
Full Idea: Knowledge 'that' is descriptive, and knowledge 'why' is explanatory, and it is the latter that provides scientific understanding of our world. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], Intro) | |
A reaction: I agree, but of course, knowing 'why' may require a lot of knowing 'that'. People with extensive knowledge 'that' things are so tend to understand why something happens more readily than the rest of us ignoramuses. |
15372 | Some claim that indicative conditionals are believed by people, even though they are not actually held true [Horsten] |
Full Idea: In the debate about doxastic attitudes towards indicative conditional sentences, one finds philosophers who claim that conditionals can be believed even though they have no truth value (and thus are not true). | |
From: Leon Horsten (The Tarskian Turn [2011], 09.3) |
13054 | Correlations can provide predictions, but only causes can give explanations [Salmon] |
Full Idea: Various kinds of correlations exist that provide excellent bases for prediction, but because no suitable causal relations exist (or are known), these correlations do not furnish explanation. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 2.3) | |
A reaction: There may be problem cases for the claim that all explanations are causal, but I certainly think that this idea is essentially right. Prediction can come from induction, but inductions may be true and yet baffling. |
13067 | For the instrumentalists there are no scientific explanations [Salmon] |
Full Idea: There is a centuries-old philosophical tradition, sometimes referred to by the name of 'instrumentalism', that has denied the claim that science has explanatory power. For the instrumentalists there are no scientific explanations. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 4.3) | |
A reaction: [He quotes Coffa] Presumably it is just a matter of matching the world to the readings on the instruments, aiming at van Fraassen's 'empirical adequacy'. If there are no scientific explanations, does that mean that there are no explanations at all? Daft! |
13055 | Good induction needs 'total evidence' - the absence at the time of any undermining evidence [Salmon] |
Full Idea: Inductive logicians have a 'requirement of total evidence': induction is strong if 1) it has true premises, 2) it has correct inductive form, and 3) no additional evidence that would change the degree of support is available at the time. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 2.4.2) | |
A reaction: The evidence might be very close at hand, but not quite 'available' to the person doing the induction. |
13046 | Scientific explanation is not reducing the unfamiliar to the familiar [Salmon] |
Full Idea: I reject the view that scientific explanation involves reduction of the unfamiliar to the familiar. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], Pref) | |
A reaction: Aristotle sometimes seems to imply this account of explanation, and I would have to agree with Salmon's view of it. Aristotle is also, though, aware of real explanations, definitions and essences. People are 'familiar' with some peculiar things. |
13058 | Why-questions can seek evidence as well as explanation [Salmon] |
Full Idea: There are evidence-seeking why-questions, as well as explanation-seeking why-questions. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 3.2) | |
A reaction: Surely we would all prefer an explanation to mere evidence? It seems to me that they are all explanation-seeking, but that we are grateful for some evidence when no full explanation is available. Explanation renders evidence otiose. |
13050 | The 'inferential' conception is that all scientific explanations are arguments [Salmon] |
Full Idea: The 'inferential' conception of scientific explanation is the thesis that all legitimate scientific explanations are arguments of one sort or another. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 1.1) | |
A reaction: This seems to imply that someone has to be persuaded of something, and hence seems a rather too pragmatic view. I presume an explanation might be no more than dumbly pointing at conclusive evidence of a cause. Man with smoking gun. |
13059 | Ontic explanations can be facts, or reports of facts [Salmon] |
Full Idea: Proponents of the ontic conception of explanation can say that explanations exist in the world as facts, or that they are reports of such facts (as opposed to the view of explanations as arguments, or as speech acts). | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 3.2) | |
A reaction: [compressed] I am strongly drawn to the ontic approach, but not sure whether we want facts, or reports of them. The facts are the causal nexus, but which parts of the nexus provide the main aspect of explanation? I'll vote for reports, for now. |
13064 | The three basic conceptions of scientific explanation are modal, epistemic, and ontic [Salmon] |
Full Idea: There are three basic conceptions of scientific explanation - modal, epistemic, and ontic - which can be discerned in Aristotle, and that have persisted down the ages. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 4.1) |
13049 | We must distinguish true laws because they (unlike accidental generalizations) explain things [Salmon] |
Full Idea: The problem is to distinguish between laws and accidental generalizations, for laws have explanatory force while accidental generalizations, even if they are true, do not. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 1.1) | |
A reaction: [He is discussing Hempel and Oppenheim 1948] This seems obviously right, but I can only make sense of the explanatory power if we have identified the mechanism which requires the generalisation to continue in future cases. |
13051 | Deductive-nomological explanations will predict, and their predictions will explain [Salmon] |
Full Idea: The deductive-nomological view has an explanation/prediction symmetry thesis - that a correct explanation could be a scientific prediction, and that any deductive prediction could serve as a deductive-nomological explanation. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 1.1) | |
A reaction: Of course, not all predictions will explain, or vice versa. Weird regularities become predictable but remain baffling. Good explanations may be of unrepeatable events. It is the 'law' in the account that ties the two ends together. |
13053 | A law is not enough for explanation - we need information about what makes a difference [Salmon] |
Full Idea: To provide an adequate explanation of any given fact, we need to provide information that is relevant to the occurrence of that fact - information that makes a difference to its occurrence. It is not enough to subsume it under a general law. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 2.2) | |
A reaction: [He cites Bromberger for this idea] Salmon is identifying this idea as the beginnings of trouble for the covering-law account of explanation, and it sounds exactly right. |
13061 | Flagpoles explain shadows, and not vice versa, because of temporal ordering [Salmon] |
Full Idea: The height of the flagpole explains the length of the shadow because the interaction between the sunlight and the flagpole occurs before the interaction between the sunlight and the ground. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 3.6) | |
A reaction: [Bromberger produced the flagpole example] This seems to be correct, and would apply to all physical cases, but there may still be cases of explanation which are not causal (in mathematics, for example). |
13045 | Explanation at the quantum level will probably be by entirely new mechanisms [Salmon] |
Full Idea: My basic feeling about explanation in the quantum realm is that it will involve mechanisms, but mechanisms that are quite different from those that seem to work in the macrocosm. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], Pref) | |
A reaction: Since I take most explanation to be by mechanisms (or some abstraction analogous to mechanisms), then I think this is probably right (rather than being by new 'laws'). |
13062 | Does an item have a function the first time it occurs? [Salmon] |
Full Idea: In functional explanation, there is a disagreement over whether an item has a function the first time it occurs. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 3.8) | |
A reaction: This question arises particularly in evolutionary contexts, and would obviously not generally arise in the case of human artefacts. |
13063 | Explanations reveal the mechanisms which produce the facts [Salmon] |
Full Idea: I favour an ontic conception of explanation, that explanations reveal the mechanisms, causal or other, that produce the facts we are trying to explain. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 4.1) | |
A reaction: [He also cites Coffa and Peter Railton] A structure may explain, and only be supported by causal powers, but it doesn't seem to be the causal powers that do the explaining. Is a peg fitting a hole explained causally? |
13060 | Can events whose probabilities are low be explained? [Salmon] |
Full Idea: Can events whose probabilities are low be explained? | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 3.6) | |
A reaction: I take this to be one of the reasons why explanation must ultimately reside at the level of individual objects and events, rather than residing with generalisations and laws. |
13056 | Statistical explanation needs relevance, not high probability [Salmon] |
Full Idea: Statistical relevance, not high probability, is the key desideratum in statistical explanation. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 2.5) | |
A reaction: I suspect that this is because the explanation will not ultimately be probabilistic at all, but mechanical and causal. Hence the link is what counts, which is the relevance. He notes that relevance needs two values instead of one high value. |
13057 | Think of probabilities in terms of propensities rather than frequencies [Salmon] |
Full Idea: Perhaps we should think of probabilities in terms of propensities rather than frequencies. | |
From: Wesley Salmon (Four Decades of Scientific Explanation [1989], 3.2) | |
A reaction: [He cites Coffa 1974 for this] I find this suggestion very appealing, as it connects up with dispositions and powers, which I take to be the building blocks of all explanation. It is, of course, easier to render frequencies numerically. |
15347 | A theory of syntax can be based on Peano arithmetic, thanks to the translation by Gödel coding [Horsten] |
Full Idea: A notion of formal provability can be articulated in Peano arithmetic. ..This is surprisingly 'linguistic' rather than mathematical, but the key is in the Gödel coding. ..Hence we use Peano arithmetic as a theory of syntax. | |
From: Leon Horsten (The Tarskian Turn [2011], 02.4) | |
A reaction: This is the explanation of why issues in formal semantics end up being studied in systems based on formal arithmetic. And I had thought it was just because they were geeks who dream in numbers, and can't speak language properly... |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
Full Idea: Archelaus was the first person to say that the universe is boundless. | |
From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |