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26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory

[laws are merely patterns in physical events]

41 ideas
I do not pretend to know the cause of gravity [Newton]
     Full Idea: You sometimes speak of gravity as essential and inherent in matter. Pray do no ascribe that notion to me; for the cause of gravity is what I do not pretend to know.
     From: Isaac Newton (Letters to Bentley [1692], 1693.01.17)
     A reaction: I take science to be a two-stage operation - first we discern the regularities, and then we explain them. Evolution was spotted, then explained by Darwin. Cancer from cigarettes was spotted, but hasn't been explained. Regularity is the beginning.
The laws of nature are mental regularities which we learn by experience [Berkeley]
     Full Idea: The set rules or established methods wherein the Mind we depend on excites in us the ideas of sense, are called the 'laws of nature'; and these we learn by experience, which teaches us that such and such ideas are attended with certain other ideas.
     From: George Berkeley (The Principles of Human Knowledge [1710], 33)
     A reaction: He observes that the ideas of sense are more regular than other mental events, and attributes the rules to an Author. He is giving the standard empirical Humean view, with his own quirky idealist slant.
Mill's regularity theory of causation is based on an effect preceded by a conjunction of causes [Mill, by Psillos]
     Full Idea: Millian causation is a version of the Regularity Theory, but with the addition that when claiming that an effect invariably follows from the cause, the cause is not a single factor, but a whole conjunction of necessary and sufficient conditions.
     From: report of John Stuart Mill (System of Logic [1843], p.217) by Stathis Psillos - Causation and Explanation §2.2
     A reaction: Psillos endorses this as an improvement on Hume. But while we may replicate one event preceding another to get regularity, groups of events are hardly ever identical, so no precise pattern will ever be seen.
In Mill's 'Method of Agreement' cause is the common factor in a range of different cases [Mill, by Psillos]
     Full Idea: In Mill's 'Method of Agreement' the cause is the common factor in a number of otherwise different cases in which the effect occurs.
     From: report of John Stuart Mill (System of Logic [1843], p.255) by Stathis Psillos - Causation and Explanation §2.3
     A reaction: This looks more likely to be good evidence for the cause of an event, rather than a definition of what a cause actually is. Suppose a footballer only scores if and only if I go to watch him?
In Mill's 'Method of Difference' the cause is what stops the effect when it is removed [Mill, by Psillos]
     Full Idea: In Mill's 'Method of Difference' the cause is the factor which is different in two cases which are similar, except that in one the effect occurs, and in the other it doesn't.
     From: report of John Stuart Mill (System of Logic [1843], p.256) by Stathis Psillos - Causation and Explanation §2.3
     A reaction: Like the Method of Agreement, this is a good test, but is unlikely to be a conclusive hallmark of causation. A footballer may never score unless I go to watch him. I become his lucky mascot…
If the world is just mechanical, its whole specification has no more explanation than mere chance [Peirce]
     Full Idea: The mechanical philosopher leaves the whole specification of the world utterly unaccounted for, which is pretty nearly as bad as to baldly attribute it to chance.
     From: Charles Sanders Peirce (The Doctrine of Necessity Examined [1892], p.337)
     A reaction: If now complete is even remotely available, then that doesn't seem to matter too much, but if there is one message modern physics teaches philosophy, it is that we should not give up on trying to answer the deeper questions.
Laws of nature are merely complex networks of relations [Nietzsche]
     Full Idea: All laws of nature are only relations between x, y and z. We define laws of nature as relations to an x, y, and z, each of which in turn, is known to us only in relation to other x's, y's and z's.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 19 [235])
     A reaction: This could be interpreted in Armstrong's terms, as only identifying the x's, y's and z's by their universals, and then seeing laws as how those universal relate. I suspect, though, that Nietzsche has a Humean regularity pattern in mind.
It is hard to see how regularities could be explained [Quine]
     Full Idea: Why there have been regularities is an obscure question, for it is hard to see what would count as an answer.
     From: Willard Quine (Natural Kinds [1969], p.126)
     A reaction: This is the standard pessimism of the 20th century Humeans, but it strikes me as comparable to the pessimism about science found in Locke and Hume. Regularities are explained all the time by scientists, though the lowest level may be hopeless.
Physical Laws are rhythms and patterns in nature, revealed by analysis [Feynman]
     Full Idea: There is a rhythm and a pattern between the phenomena of nature which is not apparent to the eye, but only to the eye of analysis; and it is these rhythms and patterns which we call Physical Laws.
     From: Richard P. Feynman (The Character of Physical Law [1965], Ch.1)
The introduction of sparse properties avoids the regularity theory's problem with 'grue' [Armstrong]
     Full Idea: Regularity theories of laws face the grue problem. That, I think, can only be got over by introducing properties, sparse properties, into one's ontology.
     From: David M. Armstrong (Properties [1992], §2)
     A reaction: The problem is, roughly, that regularities have to be described in language, which is too arbitrary in character. Armstrong rightly tries to break the rigid link to language. See his Idea 8536, which puts reality before language.
Regularities theories are poor on causal connections, counterfactuals and probability [Armstrong]
     Full Idea: Regularity theories make laws molecular, with no inner causal connections; also, only some cosmic regularities are manifestations of laws; molecular states can't sustain counterfactuals; and probabilistic laws are hard to accommodate.
     From: David M. Armstrong (Properties [1992], §2)
     A reaction: [very compressed] A helpful catalogue of difficulties. The first difficulty is the biggest one - that regularity theories have nothing to say about why there is a regularity. They offer descriptions instead of explanations.
Regularities are lawful if a second-order universal unites two first-order universals [Armstrong, by Lewis]
     Full Idea: Armstrong's theory holds that what makes certain regularities lawful are second-order states of affairs N(F,G) in which the two ordinary first-order universals F and G are related by a certain dyadic second-order universal N.
     From: report of David M. Armstrong (What is a Law of Nature? [1983]) by David Lewis - New work for a theory of universals 'Laws and C'
     A reaction: [see Lewis's footnote] I take the view (from Shoemaker and Ellis) that laws of nature are just plain regularities which arise from the hierarchy of natural kinds. We don't need a commitment to 'universals'.
A naive regularity view says if it never occurs then it is impossible [Armstrong]
     Full Idea: It is a Humean uniformity that no race of ravens is white-feathered. Hence, if the Naive Regularity analysis of law is correct, it is a law that no race of ravens is white-feathered, that is, such a race is physically impossible. A most unwelcome result.
     From: David M. Armstrong (What is a Law of Nature? [1983], 02.6)
     A reaction: Chapters 2-4 of Armstrong are a storming attack on the regularity view of laws of nature, and this idea is particularly nice. Laws must refer to what could happen, not what happens to happen.
Causal relations cannot be reduced to regularities, as they could occur just once [Ellis]
     Full Idea: Causal relations cannot be reduced to mere regularities, as Hume supposed, as they could exist as a singular case, even if it never happened on more than one occasions.
     From: Brian Ellis (The Philosophy of Nature: new essentialism [2002], Ch.3)
     A reaction: This seems to be the key reason for modern views moving away from Hume. The suspicion is that regularity is a test for or symptom of causation, but we are deeply committed to the real nature of causation being whatever creates the regularities.
We identify laws with regularities because we mistakenly identify causes with their symptoms [Fine,K]
     Full Idea: There is a common tendency to identify a cause with its symptoms. Hence we are not sure how to characterise a law, and so we identify it with the regularities to which it gives rise.
     From: Kit Fine (Vagueness: a global approach [2020], 1)
     A reaction: A lovely clear identification of my pet hate, which is superficial accounts of things, which claim to be the last word, but actually explain nothing.
If laws are mere regularities, they give no grounds for future prediction [Swoyer]
     Full Idea: If laws were mere regularities, then the fact that observed Fs have been Gs would give us no reason to conclude that those Fs we haven't encountered will also be Gs.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: I take this simple point to be very powerful. No amount of regularity gives grounds for asserting future patterns - one only has Humean habits. Causal mechanisms are what we are after.
Dretske and Armstrong base laws on regularities between individual properties, not between events [Mumford]
     Full Idea: The improved Dretske/Armstrong regularity view of laws dispenses with the empiricist articulation of them in terms of events, and construes them as singular statements of fact that describe relations between properties.
     From: Stephen Mumford (Dispositions [1998], 10.4)
     A reaction: They then seem to go a bit mystical, by insisting that the properties are 'universals' (even if they have to be instantiated). Universals explain nothing.
It is a regularity that whenever a person sneezes, someone (somewhere) promptly coughs [Mumford]
     Full Idea: It is no doubt a true regularity that every time I sneeze, someone, somewhere in the world, immediately coughs.
     From: Stephen Mumford (Dispositions [1998], 10.4)
     A reaction: Not a huge problem for the regularity theory of laws, but the first challenge that it must meet.
Regularities are more likely with few instances, and guaranteed with no instances! [Mumford]
     Full Idea: It seems that the fewer the instances, the more likely it is that there be a regularity, ..and if there are no cases at all, and no S is P, that is a regularity.
     From: Stephen Mumford (Laws in Nature [2004], 03.3)
     A reaction: [He attributes the second point to Molnar]
Would it count as a regularity if the only five As were also B? [Mumford]
     Full Idea: While it might be true that for all x, if Ax then Bx, would we really want to count it as a genuine regularity in nature if only five things were A (and all five were also B)?
     From: Stephen Mumford (Laws in Nature [2004], 03.3)
Pure regularities are rare, usually only found in idealized conditions [Mumford]
     Full Idea: Pure regularities are not nearly as common as might have been thought, and are usually only to be found in simplified or idealized conditions.
     From: Stephen Mumford (Laws in Nature [2004], 05.3)
     A reaction: [He cites Nancy Cartwright 1999 for this view]
Regularity laws don't explain, because they have no governing role [Mumford]
     Full Idea: A regularity-law does not explain its instances, because such laws play no role in determining or governing their instances.
     From: Stephen Mumford (Laws in Nature [2004], 09.7)
     A reaction: Good. It has always seemed to me entirely vacuous to explain an event simply by saying that it falls under some law.
Regularity doesn't seem sufficient for causation [Psillos]
     Full Idea: A rather important objection to Humeanism has been that regularity is not sufficient for causation.
     From: Stathis Psillos (Causation and Explanation [2002], Intro)
     A reaction: Obviously a crucial problem, but the Humean view can defend itself by introducing other constant conjunctions. We don't observe events in isolation, but as part of a pattern of regularities.
It is not a law of nature that all the coins in my pocket are euros, though it is a regularity [Psillos]
     Full Idea: It is not a law of nature that all the coins in my pocket are euros, though it is a regularity.
     From: Stathis Psillos (Causation and Explanation [2002], Intro)
     A reaction: Good example, but it doesn't demolish the regularity view. We should come to conscious minds last. There aren't many other unfailing regularities that are not laws.
A Humean view of causation says it is regularities, and causal facts supervene on non-causal facts [Psillos]
     Full Idea: The Humean view depends on the conjunction of two general theses: first, causation is tied to regularity; secondly, causal facts supervene on non-causal facts.
     From: Stathis Psillos (Causation and Explanation [2002], §4.5.4)
     A reaction: If causation is just regularities, this means it is patterns observed by us, which means causation doesn't actually exist. So Hume is wrong. Singular causation is possible, and needs explanation.
The regularity of a cock's crow is used to predict dawn, even though it doesn't cause it [Psillos]
     Full Idea: A regularity can be used to predict a future event irrespective of whether it is deemed causal or not. A farmer can predict that dawn has broken on hearing the cock's crow.
     From: Stathis Psillos (Causation and Explanation [2002], §8.1)
     A reaction: This seems a highly significant criticism of any view that says regularity leads to causation, which is the basis of induction, which leads to counterfactual claims, and thus arrives a the laws of nature.
'Humans with prime house numbers are mortal' is not a law, because not a natural kind [Maudlin]
     Full Idea: 'All humans who live in houses with prime house numbers are mortal' is not a law because the class referred to is not a natural kind.
     From: Tim Maudlin (The Metaphysics within Physics [2007], 1.6)
     A reaction: Maudlin wants laws to be primitive, but he now needs a primitive notion of a natural kind to make it work. If kinds generate laws, you can ditch the laws, and build your theory on the kinds. He also says no death is explained by 'all humans are mortal'.
Dispositional essentialism says laws (and laws about laws) are guaranteed regularities [Bird]
     Full Idea: For the regularity version of dispositional essentialism about laws, laws are those regularities whose truth is guaranteed by the essential dispositional nature of one or more of the constituents. Regularities that supervene on such laws are also laws.
     From: Alexander Bird (Nature's Metaphysics [2007], 3.1.2)
     A reaction: Even if you accept necessary behaviour resulting from essential dispositions, you still need to distinguish the important regularities from the accidental ones, so the word 'guarantee' is helpful, even if it raises lots of difficulties.
That other diamonds are hard does not explain why this one is [Bird]
     Full Idea: The fact that some other diamonds are hard does not explain why this diamond is hard.
     From: Alexander Bird (Nature's Metaphysics [2007], 4.3.2)
     A reaction: A very nice aphorism! It pinpoints the whole error of trying to explain the behaviour of the world by citing laws. Why should this item obey that law? Bird prefers 'powers', and so do I.
'All uranium lumps are small' is a law, but 'all gold lumps are small' is not [Bird]
     Full Idea: 'Uranium lumps have mass of less than 1000 kg' is a law, but 'gold lumps have mass of less than 1000kg' is not a law.
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: A nice example. Essentialists talk about the nature of the substances; regularity theorists prefer to talk of nested or connected regularities (e.g. about explosions). In induction, how do you decide what your duty requires you to observe?
There can be remarkable uniformities in nature that are purely coincidental [Bird]
     Full Idea: Bode's non-law (of 1772, about the gaps between the planets) shows that there can be remarkable uniformities in nature that are purely coincidental.
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: If Bode's law really were confirmed, even for asteroids and newly discovered planets, it might suggest that an explanation really is required, and there is some underlying cause. How likely is the coincidence? Perhaps we have no way of telling.
A law might have no instances, if it was about things that only exist momentarily [Bird]
     Full Idea: A law might have no instances at all; for example, about the chemical and electrical behaviour of the transuranic elements, which only exist briefly in laboratories.
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: Nice example. We need to distinguish, though, (as Bird reminds us) between laws and theories. We have no theories in this area, but there are counterfactual truths about what the transuranic elements would do in certain circumstances.
If laws are just instances, the law should either have gaps, or join the instances arbitrarily [Bird]
     Full Idea: For the simple regularity theorist, the function ought to be a gappy one, leaving out values not actually instantiated; …one function would fit the actual points on the graph as well as any other.
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: The 'simple' theorist says there is nothing more to a law than its instances. Clearly Bird is right; if the points line up, we join them with a straight line, making counterfactual assumptions about points which were not actually observed.
Where is the regularity in a law predicting nuclear decay? [Bird]
     Full Idea: If a law of nuclear physics says that nuclei of a certain kind have a probability p of decaying within time t, what is the regularity here?
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: Hume gives an answer, in terms of regularities observed among previous instances. Nevertheless the figure p given in the law does not itself have any instances, so the law is predicting something that may never have actually happened before.
Laws cannot explain instances if they are regularities, as something can't explain itself [Bird]
     Full Idea: It can be objected that laws cannot do the job of explaining their instances if they are merely regularities, ...because something cannot explain itself.
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: A nice point. The objection assumes that a law should explain things, rather than just describing them. I take the model to be smoking-and-cancer; the statistics describe what is happening, but only lung biochemistry will explain it.
Similar appearance of siblings is a regularity, but shared parents is what links them [Bird]
     Full Idea: There may be a regularity of siblings looking similar, but the tie that binds them is not their similarity, but rather their being born of the same parents.
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: A nice objection to the regularity view. Regularities, as so often in philosophy (e.g. Idea 1364), may be the evidence or test for a law, rather than the law itself, which requires causal mechanisms, ultimately based (I think) in essences.
We can only infer a true regularity if something binds the instances together [Bird]
     Full Idea: We cannot infer a regularity from its instances unless there is something stronger than the regularity itself binding the instances together.
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: Spells out the implication of the example in Idea 6748. The reply to this criticism would be that no account can possibly be given of the 'something stronger' than further regularities, at a lower level (e.g. in the physics).
There may be many laws, each with only a few instances [Bird]
     Full Idea: It might be that there is a large number of laws each of which has only a small number of instances.
     From: Alexander Bird (Philosophy of Science [1998], Ch.1)
     A reaction: This is a problem for the Ramsey-Lewis view (Idea 6745) that the laws of nature are a simple, powerful and coherent system. We must be cautious about bringing a priori principles like Ockham's Razor (Idea 3667) to bear on the laws of nature.
If we only infer laws from regularities among observations, we can't infer unobservable entities. [Bird]
     Full Idea: If the naïve inductivist says we should see well-established regularities among our observations, and take that to be the law or causal connection…this will not help us to infer the existence of unobservable entities.
     From: Alexander Bird (Philosophy of Science [1998], Ch.8)
     A reaction: The obvious solution to this difficulty is an appeal to 'best explanation'. Bird is obviously right that we couldn't survive in the world, let alone do science, if we only acted on what we had actually observed (e.g. many bodies, but not the poison).
Accidental regularities are not laws, and an apparent regularity may not be actual [Bird]
     Full Idea: Many actual regularities are not laws (accidental regularities), and many perceived regularities are not actual ones (a summer's worth of observing green leaves).
     From: Alexander Bird (Philosophy of Science [1998], Ch.8)
     A reaction: These problems are not sufficient to refute the regularity view of laws. Accidental regularities can only be short-lived, and perceived regularities support laws without clinching them. There is an awful lot of regularity behind laws concerning gravity.
Strict regularities are rarely discovered in life sciences [Leuridan]
     Full Idea: Strict regularities are rarely if ever discovered in the life sciences.
     From: Bert Leuridan (Can Mechanisms Replace Laws of Nature? [2010], §2)
     A reaction: This is elementary once it is pointed out, but too much philosophy have science has aimed at the model provided by the equations of fundamental physics. Science is a broad church, to employ an entertaining metaphor.