93 ideas
| 19693 | There is practical wisdom (for action), and theoretical wisdom (for deep understanding) [Aristotle, by Whitcomb] |
| Full Idea: Aristotle takes wisdom to come in two forms, the practical and the theoretical, the former of which is good judgement about how to act, and the latter of which is deep knowledge or understanding. | |
| From: report of Aristotle (works [c.330 BCE]) by Dennis Whitcomb - Wisdom Intro | |
| A reaction: The interesting question is then whether the two are connected. One might be thoroughly 'sensible' about action, without counting as 'wise', which seems to require a broader view of what is being done. Whitcomb endorses Aristotle on this idea. |
| 1575 | For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle] |
| Full Idea: For Aristotle logos is the ability to speak rationally about, with the hope of attaining knowledge, questions of value. | |
| From: comment on Aristotle (works [c.330 BCE]) by David Roochnik - The Tragedy of Reason p.26 |
| 16841 | Good inference has mechanism, precision, scope, simplicity, fertility and background fit [Lipton] |
| Full Idea: Among the inferential virtues commonly cited are mechanism, precision, scope, simplicity, fertility or fruitfulness, and fit with background beliefs. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 08 'the guiding') | |
| A reaction: [He cites Hempel, Kuhn, Quine, and Newton-Smith] I take the over-arching term 'coherence' to cover much of this, though a bolder hypothesis offers more than mere coherence. |
| 1589 | Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle] |
| Full Idea: Aristotle is the great theoretician who articulates a vision of a world in which natural and stable structures can be rationally discovered. His is the most optimistic and richest view of the possibilities of logos | |
| From: comment on Aristotle (works [c.330 BCE]) by David Roochnik - The Tragedy of Reason p.95 |
| 16854 | Contrary pairs entail contradictions; one member entails negation of the other [Lipton] |
| Full Idea: All pairs of contraries entail a pair of contradictories, since one member of such a pair always entails the negation of the other. P&Q and not-P are contraries, but the first entails P, which is contradictory of not-P. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 09 'Is the best') |
| 8200 | Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine] |
| Full Idea: A real definition, according to the Aristotelian tradition, gives the essence of the kind of thing defined. Man is defined as a rational animal, and thus rationality and animality are of the essence of each of us. | |
| From: report of Aristotle (works [c.330 BCE]) by Willard Quine - Vagaries of Definition p.51 | |
| A reaction: Compare Idea 4385. Personally I prefer the Aristotelian approach, but we may have to say 'We cannot identify the essence of x, and so x cannot be defined'. Compare 'his mood was hard to define' with 'his mood was hostile'. |
| 4385 | Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson] |
| Full Idea: For Aristotle, to give a definition one must first state the genus and then the differentia of the kind of thing to be defined. | |
| From: report of Aristotle (works [c.330 BCE]) by J.O. Urmson - Aristotle's Doctrine of the Mean p.157 | |
| A reaction: Presumably a modern definition would just be a list of properties, but Aristotle seeks the substance. How does he define a genus? - by placing it in a further genus? |
| 10147 | The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman] |
| Full Idea: In 1938 Gödel proved that the Axiom of Choice is consistent with the other axioms of set theory. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int I) | |
| A reaction: Hence people now standardly accept ZFC, rather than just ZF. |
| 10148 | Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman] |
| Full Idea: Zermelo's Axiom of Choice asserts that for any set of non-empty sets that (pairwise) have no elements in common, then there is a set that 'simultaneously chooses' exactly one element from each set. Note that this is an existential claim. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int I) | |
| A reaction: The Axiom is now widely accepted, after much debate in the early years. Even critics of the Axiom turn out to be relying on it. |
| 10149 | Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman] |
| Full Idea: The Axiom of Choice seems clearly true from the Platonistic point of view, independently of how sets may be defined, but is rejected by those who think such existential claims must show how to pick out or define the object claimed to exist. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int I) | |
| A reaction: The typical critics are likely to be intuitionists or formalists, who seek for both rigour and a plausible epistemology in our theory. |
| 10150 | The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman] |
| Full Idea: The Trichotomy Principle (any number is less, equal to, or greater than, another number) turned out to be equivalent to the Axiom of Choice. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int I) | |
| A reaction: [He credits Sierpinski (1918) with this discovery] |
| 10146 | Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman] |
| Full Idea: The Axiom of Choice is a pure existence statement, without defining conditions. It was necessary to provide a foundation for Cantor's theory of transfinite cardinals and ordinal numbers, but its nonconstructive character engendered heated controversy. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int I) |
| 13282 | Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki] |
| Full Idea: Aristotle proposes to relativise unity and plurality, so that a single object can be both one (indivisible) and many (divisible) simultaneously, without contradiction, relative to different measures. Wholeness has degrees, with the strength of the unity. | |
| From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 7.2.12 | |
| A reaction: [see Koslicki's account of Aristotle for details] As always, the Aristotelian approach looks by far the most promising. Simplistic mechanical accounts of how parts make wholes aren't going to work. We must include the conventional and conceptual bit. |
| 4730 | For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady] |
| Full Idea: Aristotle apparently believed that the subject-predicate structure of Greek reflected the substance-accident nature of reality. | |
| From: report of Aristotle (works [c.330 BCE]) by Paul O'Grady - Relativism Ch.4 | |
| A reaction: We need not assume that Aristotle is wrong. It is a chicken-and-egg. There is something obvious about subject-predicate language, if one assumes that unified objects are part of nature, and not just conventional. |
| 10158 | A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman] |
| Full Idea: A structure is said to be a 'model' of an axiom system if each of its axioms is true in the structure (e.g. Euclidean or non-Euclidean geometry). 'Model theory' concerns which structures are models of a given language and axiom system. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int V) | |
| A reaction: This strikes me as the most interesting aspect of mathematical logic, since it concerns the ways in which syntactic proof-systems actually connect with reality. Tarski is the central theoretician here, and his theory of truth is the key. |
| 10162 | Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman] |
| Full Idea: In the late 1950s Tarski and Vaught defined and established basic properties of the relation of elementary equivalence between two structures, which holds when they make true exactly the same first-order sentences. This is fundamental to model theory. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int V) | |
| A reaction: This is isomorphism, which clarifies what a model is by giving identity conditions between two models. Note that it is 'first-order', and presumably founded on classical logic. |
| 10160 | Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman] |
| Full Idea: The Löwenheim-Skolem Theorem, the earliest in model theory, states that if a countable set of sentences in a first-order language has a model, then it has a countable model. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int V) | |
| A reaction: There are 'upward' (sentences-to-model) and 'downward' (model-to-sentences) versions of the theory. |
| 10159 | Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman] |
| Full Idea: Before Tarski's work in the 1930s, the main results in model theory were the Löwenheim-Skolem Theorem, and Gödel's establishment in 1929 of the completeness of the axioms and rules for the classical first-order predicate (or quantificational) calculus. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int V) |
| 10161 | If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman] |
| Full Idea: Completeness is when, if a sentences holds in every model of a theory, then it is logically derivable from that theory. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int V) |
| 10156 | 'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman] |
| Full Idea: 'Recursion theory' is the subject of what can and cannot be solved by computing machines | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Ch.9) | |
| A reaction: This because 'recursion' will grind out a result step-by-step, as long as the steps will 'halt' eventually. |
| 10155 | Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman] |
| Full Idea: In 1936 Church showed that Principia Mathematica is undecidable if it is ω-consistent, and a year later Rosser showed that Peano Arithmetic is undecidable, and any consistent extension of it. | |
| From: Feferman / Feferman (Alfred Tarski: life and logic [2004], Int IV) |
| 13276 | The unmoved mover and the soul show Aristotelian form as the ultimate mereological atom [Aristotle, by Koslicki] |
| Full Idea: Aristotle's discussion of the unmoved mover and of the soul confirms the suspicion that form, when it is not thought of as the object represented in a definition, plays the role of the ultimate mereological atom within his system. | |
| From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 6.6 | |
| A reaction: Aristotle is concerned with which things are 'divisible', and he cites these two examples as indivisible, but they may be too unusual to offer an actual theory of how Aristotle builds up wholes from atoms. He denies atoms in matter. |
| 13277 | The 'form' is the recipe for building wholes of a particular kind [Aristotle, by Koslicki] |
| Full Idea: Thus in Aristotle we may think of an object's formal components as a sort of recipe for how to build wholes of that particular kind. | |
| From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 7.2.5 | |
| A reaction: In the elusive business of pinning down what Aristotle means by the crucial idea of 'form', this analogy strikes me as being quite illuminating. It would fit DNA in living things, and the design of an artifact. |
| 5991 | For Aristotle, knowledge is of causes, and is theoretical, practical or productive [Aristotle, by Code] |
| Full Idea: Aristotle thinks that in general we have knowledge or understanding when we grasp causes, and he distinguishes three fundamental types of knowledge - theoretical, practical and productive. | |
| From: report of Aristotle (works [c.330 BCE]) by Alan D. Code - Aristotle | |
| A reaction: Productive knowledge we tend to label as 'knowing how'. The centrality of causes for knowledge would get Aristotle nowadays labelled as a 'naturalist'. It is hard to disagree with his three types, though they may overlap. |
| 16814 | Understanding is not mysterious - it is just more knowledge, of causes [Lipton] |
| Full Idea: On the causal model of explanation, understanding is unmysterious and objective; it is not some sort of super-knowledge, but simply more knowledge; knowledge of causes. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 03 'Fact') | |
| A reaction: There seems to be some distinction between revealing some causes, and revealing a cause which 'makes the light dawn'. |
| 11239 | The notion of a priori truth is absent in Aristotle [Aristotle, by Politis] |
| Full Idea: The notion of a priori truth is conspicuously absent in Aristotle. | |
| From: report of Aristotle (works [c.330 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 1.5 | |
| A reaction: Cf. Idea 11240. |
| 23312 | Aristotle is a rationalist, but reason is slowly acquired through perception and experience [Aristotle, by Frede,M] |
| Full Idea: Aristotle is a rationalist …but reason for him is a disposition which we only acquire over time. Its acquisition is made possible primarily by perception and experience. | |
| From: report of Aristotle (works [c.330 BCE]) by Michael Frede - Aristotle's Rationalism p.173 | |
| A reaction: I would describe this process as the gradual acquisition of the skill of objectivity, which needs the right knowledge and concepts to evaluate new experiences. |
| 16111 | Aristotle wants to fit common intuitions, and therefore uses language as a guide [Aristotle, by Gill,ML] |
| Full Idea: Since Aristotle generally prefers a metaphysical theory that accords with common intuitions, he frequently relies on facts about language to guide his metaphysical claims. | |
| From: report of Aristotle (works [c.330 BCE]) by Mary Louise Gill - Aristotle on Substance Ch.5 | |
| A reaction: I approve of his procedure. I take intuition to be largely rational justifications too complex for us to enunciate fully, and language embodies folk intuitions in its concepts (especially if the concepts occur in many languages). |
| 16825 | How do we distinguish negative from irrelevant evidence, if both match the hypothesis? [Lipton] |
| Full Idea: How can Best Explanation distinguish negative evidence from irrelevant evidence, when the evidence is logically consistent with the hypothesis? | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 05 'A case') | |
| A reaction: There seems no answer to this other than to assess batches of evidence by their coherence, rather than one at a time. Anomalies can be conclusive, or pure chance. |
| 16851 | The inference to observables and unobservables is almost the same, so why distinguish them? [Lipton] |
| Full Idea: The inferential path to unobservables is often the same as to unobserved observables. In these two sorts of case, the reason for belief can be equally strong, so the suggestion that we infer truth in one case but not the other seems perverse. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 09 'Voltaire's') | |
| A reaction: [Van Fraassen 1980 is the target of this] Van F seems to be in the grip of some sort of verificationism, which I always disliked on the grounds that speculation can be highly meaningful. Why embrace something because it 'could' be observed? |
| 16799 | Inductive inference is not proof, but weighing evidence and probability [Lipton] |
| Full Idea: Inductive inference is a matter of weighing evidence and judging probability, not of proof. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 01 'Underd') | |
| A reaction: This sounds like a plausible fallibilist response to the optimistic view of Aristotle. |
| 16798 | We infer from evidence by working out what would explain that evidence [Lipton] |
| Full Idea: Explanatory considerations are an important guide to inference, …we work out what to infer from our evidence by thinking about what would explain that evidence. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], Pref 2nd ed) | |
| A reaction: I take this to be inferences about the physical world, rather than of pure logic. The thesis sounds a bit thin, since there is no logical sense of 'infer' here, so all it could mean is 'what caused that?'. |
| 16856 | It is more impressive that relativity predicted Mercury's orbit than if it had accommodated it [Lipton] |
| Full Idea: We are more impressed by the fact that the special theory of relativity was used to predict the shift in the perihelion of Mercury than we would have been if we knew that the theory was constructed in order to account for that effect. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 10 'The fudging') | |
| A reaction: Lipton has a nice discussion of the relative merits of predicting data and accommodating it. He invites astrologers to predict events, rather than accommodate past ones. |
| 16857 | Predictions are best for finding explanations, because mere accommodations can be fudged [Lipton] |
| Full Idea: Accommodations are often worth less than predictions, because only they have to face the possibility that the best explanation of the fit between the theory and data is that the theoretical system was fudged. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 11 'Circularity') | |
| A reaction: Lipton illuminatingly explores the discovery by Semmelweiss of the cause of childbed fever. He predicted various explanations, and tested them out in a hospital. It clicks when the prediction occurs. |
| 16971 | Plato says sciences are unified around Forms; Aristotle says they're unified around substance [Aristotle, by Moravcsik] |
| Full Idea: Plato's unity of science principle states that all - legitimate - sciences are ultimately about the Forms. Aristotle's principle states that all sciences must be, ultimately, about substances, or aspects of substances. | |
| From: report of Aristotle (works [c.330 BCE], 1) by Julius Moravcsik - Aristotle on Adequate Explanations 1 |
| 16827 | If we make a hypothesis about data, then a deduction, where does the hypothesis come from? [Lipton] |
| Full Idea: The cost of the hypothetico-deductive method …is that we are left in the dark about the source of the hypotheses themselves. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 05 'Explanation') | |
| A reaction: How do we distinguish a wild hypothesis from a plausible one? It can only be from patterns in the data, rather than mere accumulations of data. If water causes cholera, or smoking causes cancer, the hypothesis guides the data search. |
| 16804 | Induction is repetition, instances, deduction, probability or causation [Lipton] |
| Full Idea: Five attempts to describe induction are 'more of the same', the instantial model, the hypothetico-deductive model, the Bayesian approach …and causal inference. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 01 'Descr') | |
| A reaction: This interesting list totally fails to mention the best answer, which is essentialism! If you observe some instances, you only begin to think that there will be more of the same if you think you have discerned the essence. Ravens are black things! |
| 16823 | Standard induction does not allow for vertical inferences, to some unobservable lower level [Lipton] |
| Full Idea: One of the problems of the extrapolation and instantial models of confirmation is that they do not cover vertical inferences, where we infer from what we observe to something at a different level that is often unobservable. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 04 'Attractions') | |
| A reaction: This is my preferred essentialist view of induction, that we don't just infer that future swans will be white, but also that whiteness is built into the biology of swans. There seems to be predictive induction and explanatory induction. |
| 16800 | An inductive inference is underdetermined, by definition [Lipton] |
| Full Idea: If an inference is inductive, then by definition it is underdetermined by the evidence and the rules of deduction. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 01 'Underd') |
| 16858 | We can argue to support our beliefs, so induction will support induction, for believers in induction [Lipton] |
| Full Idea: There is nothing illegitimate about giving arguments for beliefs one already holds. …So inductive justification of induction, while impotent against the skeptic, is legitimate for those who already rely on induction. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 11 'Circularity') | |
| A reaction: Not so fast! The first sentence is generally right, but if the 'beliefs one already holds' are beliefs about methods of argument, that is a different case. Compare 'this book is the word of God, because it says so in the book'. Can logic prove logic? |
| 16832 | If something in ravens makes them black, it may be essential (definitive of ravens) [Lipton] |
| Full Idea: We are considering that there is something in ravens, a gene perhaps, that makes them black, and this cause is part of the essence of ravens. Birds lacking this cause could not interbreed with ravens. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 05 'Unsuitable') | |
| A reaction: At last, the essentialist approach to induction! Of course, it is tricky to decide a priori whether there could be albino ravens. It only takes one white (interbreeding) raven to ruin a nice essentialist story. Individuals matter. |
| 16836 | My shoes are not white because they lack some black essence of ravens [Lipton] |
| Full Idea: The reason my shoe is white is not that it lacks some feature essential to ravens that makes them black. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 06 'The Method') | |
| A reaction: Good, but not totally true. If my shoes were made to grow from genes, and then had some raven spliced into them, we might manage it. That is an explanation, but a long way from the best one. Enquiry is explanations, not deductions. |
| 16831 | A theory may explain the blackness of a raven, but say nothing about the whiteness of shoes [Lipton] |
| Full Idea: Explanatory considerations help with the raven paradox since, while the raven hypothesis may provide an explanation for the blackness of a particular raven, neither the original hypothesis nor its contrastive explanation explain why the shoe is white. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 06 'Unsuitable') | |
| A reaction: For me, the examination of ravens is a search for the essence of ravenhood, which is why non-ravens don't help. Of course, if you eliminate all culprits except one, you have your culprit, but will your evidence stand up in court? |
| 16833 | We can't turn non-black non-ravens into ravens, to test the theory [Lipton] |
| Full Idea: We cannot transform a non-black non-raven into a raven to see whether we get a simultaneous transformation from non-black to black, in the way we can transform a flame without sodium into a flame with sodium. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 06 'Unsuitable') | |
| A reaction: A white shoe would be an example of a non-black non-raven. People mesmerised by the raven paradox are too concerned with investigation being a 'logical' process. Lipton makes a nice point. We need to know the nature of ravens. |
| 16834 | To pick a suitable contrast to ravens, we need a hypothesis about their genes [Lipton] |
| Full Idea: Without something like a hypothesis about the genes of ravens, we simply do not know what would count as a relevantly similar bird for comparison. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 06 'Unsuitable') | |
| A reaction: Lipton is endorsing the view that explanation should be 'contrastive', as well as aiming to discover the inner nature of ravens. He makes a good case for the contrastive approach. |
| 16802 | Bayes seems to rule out prior evidence, since that has a probability of one [Lipton] |
| Full Idea: Old evidence seems to provide some confirmation, but Bayesianism does not allow for this, since old evidence will have a prior probability of one, and so have no effect on the posterior probability of the hypothesis. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 01 'Descr') |
| 16803 | Bayes is too liberal, since any logical consequence of a hypothesis confirms it [Lipton] |
| Full Idea: Since the Bayesian account says a hypothesis is confirmed by any of its logical consequences …it seems to inherit the over-permissiveness of the hypothetico-deductive model. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 01 'Descr') | |
| A reaction: This sounds like Hempel's Raven Paradox, where the probability of some logical consequences seems impossible to assess. |
| 16801 | A hypothesis is confirmed if an unlikely prediction comes true [Lipton] |
| Full Idea: In English, Bayes's Theorem says that there is a high confirmation when your hypothesis entails an unlikely prediction that turns out to be correct - a very plausible claim. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 01 'Descr') | |
| A reaction: Presumably the simple point is that a likely prediction could have been caused by many things, but an unlikely prediction will probably only be caused by that thing. |
| 16837 | Bayes involves 'prior' probabilities, 'likelihood', 'posterior' probability, and 'conditionalising' [Lipton] |
| Full Idea: In p(H|E) = p(E|H)p(H)/p(E), the left side is the 'posterior' probability of H given E, p(E|H) is the 'likelihood' of E given H, and the others are the 'priors' of H and E. Moving from right to left is known as 'conditionalization'. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 07 'The Bayesian') |
| 16839 | Explanation may be an important part of implementing Bayes's Theorem [Lipton] |
| Full Idea: Explanatory considerations may play an important role in the actual mechanisms by which inquirers 'realize' Bayesian reasoning. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 07 'The Bayesian') | |
| A reaction: Lipton's strategy for making peace between IBE and Bayesians. Explanations give likeliness. The background question for Bayesians always seems to be how the initial probabilities are assigned. Pure logic won't do that job. |
| 11243 | Aristotelian explanations are facts, while modern explanations depend on human conceptions [Aristotle, by Politis] |
| Full Idea: For Aristotle things which explain (the explanantia) are facts, which should not be associated with the modern view that says explanations are dependent on how we conceive and describe the world (where causes are independent of us). | |
| From: report of Aristotle (works [c.330 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 2.1 | |
| A reaction: There must be some room in modern thought for the Aristotelian view, if some sort of robust scientific realism is being maintained against the highly linguistic view of philosophy found in the twentieth century. |
| 16850 | Explanation may describe induction, but may not show how it justifies, or leads to truth [Lipton] |
| Full Idea: Explanation is a partial answer to the descriptive problem of induction, …but the justificatory problem is recalcitrant, since it may seem particularly implausible that explanatory considerations should be a reliable guide to truth. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 09 'Voltaire's') | |
| A reaction: His claim that explanation is a guide to inference is intended to bridge the gap. One might say that a good explanation has to be true, so just make sure your explanation is 'good', according to a few criteria. |
| 16807 | An explanation gives the reason the phenomenon occurred [Lipton] |
| Full Idea: According to the reason model of explanation, to explain a phenomenon is to give a reason to believe that the phenomenon occurs. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 02 'Reason') | |
| A reaction: [He cites Hempel 1965] Put like that, it doesn't sound very promising. Personally I believe things occur if my wife tells me they do, because I trust her. Lipton says knowing that it occurs is not understanding why it occurs. |
| 16808 | An explanation is what makes the unfamiliar familiar to us [Lipton] |
| Full Idea: On the 'familiarity' model of explanation, unfamiliar phenomena call for explanation, and good explanations somehow make them familiar. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 02 'Reason') | |
| A reaction: Lipton notes that his encourages explanation by analogy, but that may not add to understanding. A better version is that an explanation makes a phenomenon less surprising (but that sounds rather relative and subjective). |
| 16806 | An explanation is what is added to knowledge to yield understanding [Lipton] |
| Full Idea: The question about explanation can be put this way: What has to be added to knowledge to yield understanding? | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 02 'Underst') | |
| A reaction: In the spirit of Aristotle, I take 'understanding' to be the end of all enquiry, even if it's rather open-ended, relative and vague. Presumably there are lots of true explanations which don't deliver understanding, because baffling ingredients are cited. |
| 16822 | Seaching for explanations is a good way to discover the structure of the world [Lipton] |
| Full Idea: One of the points of our obsessive search for explanations is that this is a peculiarly effective way of discovering the structure of the world. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 04 'Attractions') | |
| A reaction: This remark is a nice corrective to the sceptical view that explanations are entirely subjective, pragmatic, and even conventional. Whether this means that there are 'real' and 'objective' explanations is another matter. |
| 3320 | Aristotle's standard analysis of species and genus involves specifying things in terms of something more general [Aristotle, by Benardete,JA] |
| Full Idea: The standard Aristotelian doctrine of species and genus in the theory of anything whatever involves specifying what the thing is in terms of something more general. | |
| From: report of Aristotle (works [c.330 BCE]) by José A. Benardete - Metaphysics: the logical approach Ch.10 |
| 16816 | In 'contrastive' explanation there is a fact and a foil - why that fact, rather than this foil? [Lipton] |
| Full Idea: In a 'contrastive' explanation what gets explained is not 'Why this?', but 'Why this rather than that?'. There is a fact and a foil, and one fact may have several foils. Why do leaves turn yellow in November rather than in January? | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 03 'Fact') | |
| A reaction: Lipton really likes this, and builds his story around it. Maybe, but it looks to me like an easier step towards a proper explanation. The foils are infinite. Why turn yellow rather than radioactive, insincere, divisible by three, or expensive? |
| 16826 | With too many causes, find a suitable 'foil' for contrast, and the field narrows right down [Lipton] |
| Full Idea: The class of possible causes is often too big, …but if we are lucky or clever enough to find or produce a contrast where fact and foil have similar histories, most potential explanations are immediately 'cancelled out', and we have a research programme. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 05 'A case') | |
| A reaction: He has a nice example of a triumph in 19th century German epidemiology. Once you get a good hypothesis, you can set up comparisons, based on a possible fact and a good foil. Genius is spotting hypothesis and foil. Nice. |
| 16811 | An explanation unifies a phenomenon with our account of other phenomena [Lipton] |
| Full Idea: According to the 'unification' model of explanation, we come to understand a phenomenon when we see how it fit together with other phenomena into unified whole. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 02 'Reason') | |
| A reaction: [He cites Kitcher 1989] This works quite well for a lot of explanation, but a revolutionary explanation might involve a completely new theory. Lipton says it is rather linguistic, and has no room for a regress of causes, or for singular explanations. |
| 16810 | Deduction explanation is too easy; any law at all will imply the facts - together with the facts! [Lipton] |
| Full Idea: Deduction models of explanation make it far too easy to explain. You can explain that planets move in an ellipse from the conjunction of the fact that they do, together with any law you please, say a law in economics. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 02 'Reason') |
| 16829 | We reject deductive explanations if they don't explain, not if the deduction is bad [Lipton] |
| Full Idea: The hypothetico-deductive model does not account for the negative impact of explanatory failure. We reject hypotheses because they fail to explain contrasts, not because they are logically incompatible with them. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 05 'Explanation') | |
| A reaction: The general move in modern accounts of investigation is away from an excessive emphasis on logic that used to be favoured. The underpinning of this is that science concerns mechanisms more than equations. |
| 16809 | Good explanations may involve no laws and no deductions [Lipton] |
| Full Idea: Many ordinary explanations include no laws and allow no deduction, yet are not incomplete or mere sketches. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 02 'Reason') | |
| A reaction: The simplest sort of explanation simply shows the underlying cause. |
| 16812 | An explanation shows why it was necessary that the effect occurred [Lipton] |
| Full Idea: According to the 'necessity' model of explanation, an explanation shows that the phenomenon in question had to occur. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 02 'Reason') | |
| A reaction: [He cites Glymour 1980] Lipton objects that the sort of necessity involved is too uncertain, can't account for the 'why-regress', and doesn't fit everyday explanation, like why we abandoned the football match. |
| 16846 | A cause may not be an explanation [Lipton] |
| Full Idea: I take it that we may think about causes without thinking especially about explanations, and so we might judge likeliest cause without considering loveliest explanation. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 08 'From cause') |
| 16813 | To explain is to give either the causal history, or the causal mechanism [Lipton] |
| Full Idea: According to the causal model of explanation, to explain a phenomenon is simply to give information about its causal history, or, where the phenomenon is itself a causal regularity, to give information about the mechanism linking cause and effect. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 03 'Fact') | |
| A reaction: [He cites Lewis's 1986 paper] Simply citing causal regularity seems to me to explain nothing. It happened because it always happens. Mechanism, on the other hand, is just what we are after. |
| 16815 | Mathematical and philosophical explanations are not causal [Lipton] |
| Full Idea: Mathematical explanations are never causal, and philosophical explanations seldom are. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 03 'Fact') | |
| A reaction: There may still be a 'direction' of explanation in mathematics, as when the nature of the triangle explains the Pythagoras Theorem, but the theorem may not give you the basic nature of triangles. Lipton suggests 'determination' for 'causation'. |
| 16849 | Explanations may be easier to find than causes [Lipton] |
| Full Idea: It is often easier to say what a factor would explain than it is to say what it would cause. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 08 'From cause') | |
| A reaction: Presumably the presence of some factor might explain something, but the factor itself might have mysterious causal powers. A catalyst, for example. We don't need to understand the factor that explains. |
| 16848 | Causal inferences are clearest when we can manipulate things [Lipton] |
| Full Idea: Our most secure basis for causal inference is manipulation, as when flicking the switch causes the light to go on. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 08 'From cause') | |
| A reaction: Correct, but Woodward elevates this into an entire theory of causation, which does not convince me. |
| 16842 | We want to know not just the cause, but how the cause operated [Lipton] |
| Full Idea: We understand a phenomenon better when we know not just what caused it, but how the cause operated. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 08 'the guiding') | |
| A reaction: This is the key point behind the desire for 'mechanism' in explanation. It strikes me as undeniable. |
| 12000 | Aristotle regularly says that essential properties explain other significant properties [Aristotle, by Kung] |
| Full Idea: The view that essential properties are those in virtue of which other significant properties of the subjects under investigation can be explained is encountered repeatedly in Aristotle's work. | |
| From: report of Aristotle (works [c.330 BCE]) by Joan Kung - Aristotle on Essence and Explanation IV | |
| A reaction: What does 'significant' mean here? I take it that the significant properties are the ones which explain the role, function and powers of the object. |
| 16840 | To maximise probability, don't go beyond your data [Lipton] |
| Full Idea: If all we wanted was to maximise probability, we would never venture beyond our data. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 07 'friends') |
| 16824 | Is Inference to the Best Explanation nothing more than inferring the likeliest cause? [Lipton] |
| Full Idea: A suspicion is that Inference to the Best Explanation is nothing more than Inference to the Likeliest Cause in fancy dress, and so fails to account for the symptoms of likeliness. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 04 'Attractions') | |
| A reaction: In a lot of cases the cause is the explanation. An explanation might be the absence of a cause (as in 'you forgot to switch it on'). Lipton's 'lovely' explanations go further, and reveal a network of causes. |
| 16817 | Best Explanation as a guide to inference is preferable to best standard explanations [Lipton] |
| Full Idea: The core idea of Inference to the Best Explanation (IBE) is that explanatory considerations are a guide to inference. …Inserting one of the standard models of explanation yields disappointing results, because of their backward state. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 04 'Spelling') | |
| A reaction: Inferences tend to come one at a time, but I see best explanations as the formation of coherent pictures. The tricky bit is when to decide the coherence makes it acceptable. Lipton has that problem too, with his inferences. 'Working explanations'. |
| 16818 | The 'likeliest' explanation is the best supported; the 'loveliest' gives the most understanding [Lipton] |
| Full Idea: There is a distinction between the explanation best supported by the evidence, and the explanation that would provide the most understanding: in short, between the 'likeliest' and the 'loveliest' explanation. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 04 'Spelling') | |
| A reaction: A very nice, very real and very illuminating distinction. Presumably truth must play an important role in both likelihood and loveliness. |
| 16819 | IBE is inferring that the best potential explanation is the actual explanation [Lipton] |
| Full Idea: According to Inference to the Best Explanation we do not infer the best actual explanation; rather we infer that the best of the available potential explanations is an actual explanation. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 04 'Spelling') | |
| A reaction: Clearly to say that you should just accept the best available explanation is asking for trouble, if all the available explanations are absurd. But what are the criteria for saying the best one is the actual one? |
| 16820 | Finding the 'loveliest' potential explanation links truth to understanding [Lipton] |
| Full Idea: We should considere Inference to the Loveliest Potential Explanation, …which links the search for truth and the search for understanding in a fundamental way. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 04 'Spelling') |
| 16828 | IBE is not passive treatment of data, but involves feedback between theory and data search [Lipton] |
| Full Idea: The slogan 'Inference to the Best Explanation' may bring to mind an excessively passive picture of scientific enquiry, …but there is the feedback between hypothesis formation and data acquisition that characterises actual enquiry. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 05 'Explanation') | |
| A reaction: Perhaps it should be renamed 'Search for the Best Explanation'. |
| 16844 | A contrasting difference is the cause if it offers the best explanation [Lipton] |
| Full Idea: We are to infer that a difference marks a cause just in case the difference would provide the best explanation of the contrast. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 08 'Improved') | |
| A reaction: Lipton's offers this as his distinctive contribution to Mill's methods of enquiry. His point is that we draw inferences for explanatory reasons. He rests on Mill, and on contrastive explanation. It sounds rightish, but a bit optimistic. |
| 16853 | We select possible explanations for explanatory reasons, as well as choosing among them [Lipton] |
| Full Idea: Explanatory considerations can play a role in the generation of potential explanations as well as in the subsequent selection from among them. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 09 'The two-stage') | |
| A reaction: Lipton offers this to meet an obvious objection to Inference to the Best Explanation - that compiling the possible explanations seems to need guidance. Seems a good reply. |
| 16821 | Must we only have one explanation, and must all the data be made relevant? [Lipton] |
| Full Idea: Two problems for IBE are that only one explanation can be inferred from any set of data, and that the only data that are relevant to a hypothesis are data the hypothesis explains. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 04 'Spelling') | |
| A reaction: I don't see why the theory prohibits a tie for what is 'best', given that you don't have to commit. The second one is partly to do with what observers should do about anomalies, and it is sometimes right to ignore them. |
| 16838 | Bayesians say best explanations build up an incoherent overall position [Lipton] |
| Full Idea: Bayesians object to inference to the best explanation, because someone who favoured powerful ('lovely') explanations would end up with an incoherent distribution of states of belief. They would be persuaded by loss-making wagers (a 'dutch book'). | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 07 'The Bayesian') | |
| A reaction: [compressed; he cites Van Fraassen 1989 Ch.7] Lipton's Ch. 7 tries to address this issue. |
| 16855 | The best theory is boring: compare 'all planets move elliptically' with 'most of them do' [Lipton] |
| Full Idea: The best theory is almost always boring. …The claim that all planets move in ellipses is interesting, and the claim that some do not is not interesting. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 09 'Is the best') | |
| A reaction: This applies to any extraction of a universal 'law' by induction. The best theory just affirms what has been observed. How could generalising about what you haven't observed be 'better'? Answer: because it goes via the essence. |
| 16852 | Best explanation can't be a guide to truth, because the truth must precede explanation [Lipton] |
| Full Idea: Inference to the best explanation cannot be epistemically effective, since an actual explanation must be true, so one would have to know the truth before one could infer an explanation. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 09 'Voltaire's') | |
| A reaction: Lipton rests on 'contrastive' explanation, so that the one that explains more is more likely to be true. If true, it explains. That seems to me correct, even though it could occasionally go horribly wrong. Approach explanation cautiously. |
| 23300 | Aristotle and the Stoics denied rationality to animals, while Platonists affirmed it [Aristotle, by Sorabji] |
| Full Idea: Aristotle, and also the Stoics, denied rationality to animals. …The Platonists, the Pythagoreans, and some more independent Aristotelians, did grant reason and intellect to animals. | |
| From: report of Aristotle (works [c.330 BCE]) by Richard Sorabji - Rationality 'Denial' | |
| A reaction: This is not the same as affirming or denying their consciousness. The debate depends on how rationality is conceived. |
| 11240 | The notion of analytic truth is absent in Aristotle [Aristotle, by Politis] |
| Full Idea: The notion of analytic truth is conspicuously absent in Aristotle. | |
| From: report of Aristotle (works [c.330 BCE]) by Vassilis Politis - Aristotle and the Metaphysics 1.5 | |
| A reaction: Cf. Idea 11239. |
| 6559 | Aristotle never actually says that man is a rational animal [Aristotle, by Fogelin] |
| Full Idea: To the best of my knowledge (and somewhat to my surprise), Aristotle never actually says that man is a rational animal; however, he all but says it. | |
| From: report of Aristotle (works [c.330 BCE]) by Robert Fogelin - Walking the Tightrope of Reason Ch.1 | |
| A reaction: When I read this I thought that this database would prove Fogelin wrong, but it actually supports him, as I can't find it in Aristotle either. Descartes refers to it in Med.Two. In Idea 5133 Aristotle does say that man is a 'social being'. But 22586! |
| 11150 | It is the mark of an educated mind to be able to entertain an idea without accepting it [Aristotle] |
| Full Idea: It is the mark of an educated mind to be able to entertain an idea without accepting it. | |
| From: Aristotle (works [c.330 BCE]) | |
| A reaction: The epigraph on a David Chalmers website. A wonderful remark, and it should be on the wall of every beginners' philosophy class. However, while it is in the spirit of Aristotle, it appears to be a misattribution with no ancient provenance. |
| 3037 | Aristotle said the educated were superior to the uneducated as the living are to the dead [Aristotle, by Diog. Laertius] |
| Full Idea: Aristotle was asked how much educated men were superior to those uneducated; "As much," he said, "as the living are to the dead." | |
| From: report of Aristotle (works [c.330 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 05.1.11 |
| 8660 | There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend] |
| Full Idea: Aristotle developed his own distinction between potential infinity (never running out) and actual infinity (there being a collection of an actual infinite number of things, such as places, times, objects). He decided that actual infinity was incoherent. | |
| From: report of Aristotle (works [c.330 BCE]) by Michèle Friend - Introducing the Philosophy of Mathematics 1.3 | |
| A reaction: Friend argues, plausibly, that this won't do, since potential infinity doesn't make much sense if there is not an actual infinity of things to supply the demand. It seems to just illustrate how boggling and uncongenial infinity was to Aristotle. |
| 12058 | Aristotle's matter can become any other kind of matter [Aristotle, by Wiggins] |
| Full Idea: Aristotle's conception of matter permits any kind of matter to become any other kind of matter. | |
| From: report of Aristotle (works [c.330 BCE]) by David Wiggins - Substance 4.11.2 | |
| A reaction: This is obviously crucial background information when we read Aristotle on matter. Our 92+ elements, and fixed fundamental particles, gives a quite different picture. Aristotle would discuss form and matter quite differently now. |
| 16847 | Counterfactual causation makes causes necessary but not sufficient [Lipton] |
| Full Idea: The counterfactual conception of causation makes causes necessary but not sufficient conditions for their effects. | |
| From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 08 'From cause') | |
| A reaction: Interesting. Then causes would be necessary, but would not necessitate. So what makes a cause sufficient? |
| 22729 | The concepts of gods arose from observing the soul, and the cosmos [Aristotle, by Sext.Empiricus] |
| Full Idea: Aristotle said that the conception of gods arose among mankind from two originating causes, namely from events which concern the soul and from celestial phenomena. | |
| From: report of Aristotle (works [c.330 BCE], Frag 10) by Sextus Empiricus - Against the Physicists (two books) I.20 | |
| A reaction: The cosmos suggests order, and possible creation. What do events of the soul suggest? It doesn't seem to be its non-physical nature, because Aristotle is more of a functionalist. Puzzling. (It says later that gods are like the soul). |