Ceteris Paribus Laws

It is often contended that the special sciences, and even fundamental physics, make use of ceteris-paribus law-statements. Yet there are general concerns that such law-statements are vacuous or untestable or unscientific. I consider two main kinds of ceteris-paribus law-statement. I argue that neither kind is vacuous, that one of the kinds is untestable, that both kinds may count as scientific to the extent that they form parts of conjunctions that imply novel falsifiable statements which survive testing, but that one kind (...) has an affinity with ad hoc manoeuvres that are unsatisfactory from a scientific point of view. I show that the contemporary debate about ceteris-paribus law-statements is afflicted with error and confusion because of a general failure to disentangle the notions: non-vacuous, testable, scientific, verifiable, falsifiable, and ad hoc. (shrink)

NOTE: This paper is a reworking of some aspects of an earlier paper – ‘What else justification could be’ and also an early draft of chapter 2 of Between Probability and Certainty. I'm leaving it online as it has a couple of citations and there is some material here which didn't make it into the book (and which I may yet try to develop elsewhere). My concern in this paper is with a certain, pervasive picture of epistemic justification. On this (...) picture, acquiring justification for believing something is essentially a matter of minimising one’s risk of error – so one is justified in believing something just in case it is sufficiently likely, given one’s evidence, to be true. This view is motivated by an admittedly natural thought: If we want to be fallibilists about justification then we shouldn’t demand that something be certain – that we completely eliminate error risk – before we can be justified in believing it. But if justification does not require the complete elimination of error risk, then what could it possibly require if not its minimisation? If justification does not require epistemic certainty then what could it possibly require if not epistemic likelihood? When all is said and done, I’m not sure that I can offer satisfactory answers to these questions – but I will attempt to trace out some possible answers here. The alternative picture that I’ll outline makes use of a notion of normalcy that I take to be irreducible to notions of statistical frequency or predominance. (shrink)

Naturgesetze spielen eine zentrale Rolle in der Wissenschaftstheorie. Traditionell fokussierten Wissenschaftstheoretiker auf (Fundamental-)Gesetze der Physik, die man als zumindest wahre, universell gültige und kontrafaktische Konditionale stützende Aussagen ansah. Wiewohl diese Behauptung über Gesetze für den Bereich der Physik wohl zutreffen mag, scheinen doch die Gesetze in den Spezialwissenschaften andere Charakteristika aufzuweisen. Von ihnen wird behauptet, sie hätten Ausnahmen, seien also Ceteris-Paribus-Gesetze. Den Ausführungen von Peter Lipton in seinem Artikel „All Else Being Equal“ folgend wird eine zweiteilige Forschungsfrage erörtert: Existieren genuine (...) Ceteris-Paribus-Gesetze und, wenn ja, was ist darunter genau zu verstehen? Der Beitrag dieser Arbeit liegt insofern in einer kritischen Würdigung von Liptons Vorschlag als auch in seiner anschließenden Einordnung begründet. (shrink)

In this paper, we develop a novel response to counterfactual scepticism, the thesis that most ordinary counterfactual claims are false. In the process we aim to shed light on the relationship between debates in the philosophy of science and debates concerning the semantics and pragmatics of counterfactuals. We argue that science is concerned with many domains of inquiry, each with its own characteristic entities and regularities; moreover, statements of scientific law often include an implicit ceteris paribus clause that restricts the (...) scope of the associated regularity to circumstances that are ‘fitting’ to the domain in question. This observation reveals a way of responding to scepticism while, at the same time, doing justice both to the role of counterfactuals in science and to the complexities inherent in ordinary counterfactual discourse and reasoning. (shrink)

This article maintains that an important class of scientific generalizations should be reinterpreted: they have typically been understood as ceteris paribus laws, but are, in fact, generics. Four arguments are presented to support this thesis. One argument is that the interpretation in terms of ceteris paribus laws is a historical accident. The other three arguments draw on similarities between these generalizations and archetypal generics: they come with similar inferential commitments, they share a syntactic form, and the existing theories to make (...) sense of them are alike. Once these generalizations are properly understood as generics, the recent cognitive approach to generics can be extended to the study of the relevant sciences. The last section indicates ways in which this extension is fruitful for the two strands of research that we combine: the philosophy of science literature on generalizations and the semantics literature on generics. (shrink)

The laws of nature are central to our understanding of the world. And while there is often broad agreement about the technical formulations of the laws, there can be sharp disagreement about the metaphysical nature of the laws. For instance, the Newtonian laws of nature can be stated and analyzed by appealing to a set of possible worlds. Yet, some philosophers argue the worlds are mere notational devices, while others take them to be robust, concrete entities in their own right. (...) In this paper, I use a recent view of laws called the Mentaculus as a case study to illustrate the wide variety of metaphysical pictures that can accompany such a view. I conclude that the technical features of the laws -- typically (though not always) given to us by practicing scientists -- are compatible with many different metaphysical foundations. (shrink)

Laws of nature take center stage in philosophy of science. Laws are usually believed to stand in a tight conceptual relation to many important key concepts such as causation, explanation, confirmation, determinism, counterfactuals etc. Traditionally, philosophers of science have focused on physical laws, which were taken to be at least true, universal statements that support counterfactual claims. But, although this claim about laws might be true with respect to physics, laws in the special sciences (such as biology, psychology, economics etc.) (...) appear to have—maybe not surprisingly—different features than the laws of physics. Special science laws—for instance, the economic law “Under the condition of perfect competition, an increase of demand of a commodity leads to an increase of price, given that the quantity of the supplied commodity remains constant” and, in biology, Mendel's Laws—are usually taken to “have exceptions”, to be “non-universal” or “to be ceteris paribus laws”. How and whether the laws of physics and the laws of the special sciences differ is one of the crucial questions motivating the debate on ceteris paribus laws. Another major, controversial question concerns the determination of the precise meaning of “ceteris paribus”. Philosophers have attempted to explicate the meaning of ceteris paribus clauses in different ways. The question of meaning is connected to the problem of empirical content, i.e., the question whether ceteris paribus laws have non-trivial and empirically testable content. Since many philosophers have argued that ceteris paribus laws lack empirically testable content, this problem constitutes a major challenge to a theory of ceteris paribus laws. (shrink)

The semantics for counterfactuals due to David Lewis has been challenged by appealing to miracles. Miracles may skew a given similarity order in favour of those possible worlds which exhibit them. Lewis responded with a system of priorities that mitigates the significance of miracles when constructing similarity relations. We propose a prioritised ceteris paribus analysis of counterfactuals inspired by Lewis’ system of priorities. By analysing the couterfactuals with a ceteris paribus clause one forces out, in a natural manner, those possible (...) worlds which do not satisfy the requirements of the clause, thus excluding miracles. If no world can satisfy the ceteris paribus clause in its entirety, then prioritisation is triggered to select worlds that maximise agreement on those things which are favoured most. (shrink)

Philosophers sometimes claim that economics, and the idealizing strategies it employs, is ultimately unable to provide genuine laws of nature. Therefore, unlike physics, it does not qualify as an actual science. Careful consideration of thermodynamics, a well-developed physical theory, reveals substantial parallels with economic methodology. The corrective account of scientific understanding I offer appreciates these parallels: understanding in terms of efficient performance.

This new study provides a refreshing look at the issue of exceptions and shows that much of the problem stems from a failure to recognize at least two kinds of exception-ridden law: ceteris paribus laws and ideal laws. Billy Wheeler offers the first book-length discussion of ideal laws. The key difference between these two kinds of laws concerns the nature of the conditions that need to be satisfied and their epistemological role in the law’s formulation and discovery. He presents a (...) Humean-inspired approach that draws heavily on concepts from the information and computing sciences. Specifically, Wheeler argues that laws are best seen as algorithms for compressing empirical data and that ideal laws are needed as 'lossy compressors' for complex data. Major figures in the metaphysics of science receive special attention such as Ronald Giere, Bas van Fraassen, Nancy Cartwright, David Lewis and Marc Lange. This book is essential reading for philosophers of science and will interest metaphysicians, epistemologists and others interested in applying concepts from computing to traditional philosophical problems. (shrink)

According to manipulationist accounts of causal explanation, to explain an event is to show how it could be changed by intervening on its cause. The relevant change must be a ‘serious possibility’ claims Woodward 2003, distinct from mere logical or physical possibility—approximating something I call ‘scientific possibility’. This idea creates significant difficulties: background knowledge is necessary for judgments of possibili-ty. Yet the primary vehicles of explanation in manipulationism are ‘invariant’ generali-sations, and these are not well adapted to encoding such knowledge, (...) especially in the social sciences, as some of it is non-causal. Ceteris paribus (CP) laws or generalisa-tions labour under no such difficulty. A survey of research methods such as case and comparative studies, randomised control trials, ethnography, and structural equation modeling, suggests that it would be more difficult and in some instances impossible to try to represent the output of each method in invariant generalisations; and that this is because in each method causal and non-causal background knowledge mesh in a way that cannot easily be accounted for in manipulationist terms. Ceteris paribus-generalisations being superior in this regard, a theory of explanation based on the latter is a better fit for social science. (shrink)

It has been argued that the fundamental laws of physics do not face a ‘problem of provisos’ equivalent to that found in other scientific disciplines (Earman, Roberts and Smith 2002) and there is only the appearance of exceptions to physical laws if they are confused with differential equations of evolution type (Smith 2002). In this paper I argue that even if this is true, fundamental laws in physics still pose a major challenge to standard Humean approaches to lawhood, as they (...) are not in any obvious sense about regularities in behaviour. A Humean approach to physical laws with exceptions is possible, however, if we adopt a view of laws that takes them to be the algorithms in the algorithmic compressions of empirical data. When this is supplemented with a distinction between lossy and lossless compression, we can explain exceptions in terms of compression artefacts present in the application of the lossy laws. (shrink)

This article is about structural realism, historical continuity, laws of nature, and \emph{ceteris paribus} clauses. Fresnel's Laws of optics support Structural Realism because they are a scientific structure that has survived theory change. However, the history of Fresnel's Laws which has been depicted in debates over realism since the 1980s is badly distorted. Specifically, claims that J.~C. Maxwell or his followers believed in an ontologically-subsistent electromagnetic field, and gave up the aether, before Einstein's \emph{annus mirabilis} in 1905 are indefensible. Related (...) claims that Maxwell himself did not believe in a luminiferous aether are also indefensible. This paper corrects the record. In order to trace Fresnel's Laws across significant ontological changes, they must be followed past Einstein into modern physics and nonlinear optics. I develop the philosophical implications of a more accurate history, and analyze Fresnel's Laws' historical trajectory in terms of dynamic ceteris paribus clauses. Structuralists have not embraced ceteris paribus laws, but they continue to point to Fresnel's Laws to resist anti-realist arguments from theory change. Fresnel's Laws fit the standard definition of a ceteris paribus law as a law applicable only in particular circumstances. Realists who appeal to the historical continuity of Fresnel's Laws to combat anti-realists must incorporate ceteris paribus laws into their metaphysics. (shrink)

Special science generalizations admit of exceptions. Among the class of non-exceptionless special science generalizations, I distinguish minutis rectis generalizations from the more familiar category of ceteris paribus generalizations. I argue that the challenges involved in showing that mr generalizations can play the law role are underappreciated, and quite different from those involved in showing that cp generalizations can do so. I outline a strategy for meeting the challenges posed by mr generalizations.

Este trabajo consiste en un análisis de la tesis expuesta en el artículo de 1980 “Do the laws of physics state the facts?” de Nancy Cartwright, según la cual las leyes fundamentales de la física no “describen los hechos” porque, respecto de ellas, verdad y explicatividad se excluyen mutuamente. El texto fue luego republicado como tercer ensayo de su libro How the Laws of Physics Lie (1981), del que Mauricio Suárez afirma que el “trade-off” entre verdad y explicación es su (...) “tesis central”. El problema abordado es propio de la filosofía de la ciencia: cómo deben interpretarse o entenderse las leyes teóricas. Específicamente, si deben considerarse descripciones de hechos (es decir, literalmente, en el sentido de que existe una realidad con independencia de las leyes mismas y que las características de la realidad pueden ser representadas mediante el lenguaje: que tienen valor de verdad) o cumplen otra función dentro del conocimiento científico. El artículo de Cartwright estudia el caso del papel que cumplen las leyes fundamentales de la física cuando forman parte de las explicaciones por cobertura legal del tipo denominado por John Stuart Mill “por composición de causas”. Analiza la explicación de la atracción gravitatoria que hay entre dos objetos en un sistema físico en el que están presentes, además de las fuerzas gravitatorias, fuerzas eléctricas. Afirma que en ella la ley de la teoría de Newton tomada individualmente no describe lo que ocurre, no es verdadera. Pero no porque sea falsa sino porque su función o “rol” no consiste en “describir hechos” sino en ser parte de explicaciones científicas. Pero este argumento de la filósofa de la escuela de Stanford presenta dificultades semánticas, como el uso con dos sentidos diferentes del término teórico “fuerza”. Asimismo, es problemático que asuma que los hechos físicos son observables. Y no es correcta la afirmación de que una ley científica “se hace verdadera”, ni que “explica” hechos singulares, ni que “describe” en una explicación. (shrink)

The paper uses a de-relativized variant of Woodward’s definition of direct type-level causation to develop an account of causal ceteris paribus laws. It argues that the relation between X and Y needs to satisfy three conditions in order to qualify as one of direct type-level causation, that satisfaction of these conditions guarantees the applicability of claims of direct type-level causation, that the context of applicability motivates referring to these conditions as cp conditions, and that claims of direct type-level causation qualify (...) as laws if they are explanatorily deep. The account of causal cp laws defended by the paper derives from a de-relativized variant of Woodward’s definition of direct type-level causation but can be shown not to conflict with Woodward’s thesis that there is no such thing as a cp law. (shrink)

The contingency of biological regularities—and its implications for the existence of biological laws—has long puzzled biologists and philosophers. The best argument for the contingency of biological regularities is John Beatty’s evolutionary contingency thesis, which will be re-analyzed here. First, I argue that in Beatty’s thesis there are two versions of strong contingency used as arguments against biological laws that have gone unnoticed by his commentators. Second, Beatty’s two different versions of strong contingency are analyzed in terms of two different stabilities (...) of regularities. Third, I argue that Beatty and his commentators have focused on the more ineffective trajectory stability version of the argument, whereas the constancy stability version provides a more substantial and applicable argument against the existence of biological laws. Fourth, I develop a counterexample to Beatty’s thesis. Finally, I discuss the possibility of evolution producing repeatable and general non-lawlike regularities and patterns by utilizing the notion of generative entrenchment and by criticizing the thesis of multiple realizability of biological properties. (shrink)

Craig Callender, Jonathan Cohen and Markus Schrenk have recently argued for an amended version of the best system account of laws – the better best system account (BBSA). This account of lawhood is supposed to account for laws in the special sciences, among other desiderata. Unlike David Lewis's original best system account of laws, the BBSA does not rely on a privileged class of natural predicates, in terms of which the best system is formulated. According to the BBSA, a contingently (...) true generalization is a law of a special science S iff the generalization is an axiom (or a theorem) of the best system relative to the set of predicates used by special science S. We argue that the BBSA is, at best, an incomplete theory of special science laws, as it does not account for typical features of special science laws, such as attached ceteris paribus conditions and the idealized character of law statements in these disciplines. (shrink)

Earman and Roberts claim that there is neither a persuasive account of the truth-conditions of ceteris paribus laws, nor of how such laws can be confirmed or disconfirmed. I will give an account of the truth conditions of ceteris paribus laws in physics in terms of dispositions. It will meet the objections standardly raised against such an account. Furthermore I will elucidate how ceteris paribus laws can be tested in physics. The essential point is that physics provides methodologies for dealing (...) with disturbing factors. For this reason disturbing factors need not be listed explicitly in law-statements. In virtue of the methodologies it is possible to test how systems would behave if the disturbing factors were absent. I will argue that this suffices to establish the tenability of the dispositional account of ceteris paribus laws. (shrink)

An otherwise lawlike generalisation hedged by a ceteris paribus (CP) clause qualifies as a law of nature, if the CP clause can be substituted with a set of conditions derived from the multivariate regression model used to interpret the empirical data in support of the gen- eralisation. Three studies in human biology that use regression analysis are surveyed, showing that standard objections to cashing out CP clauses in this way—based on alleged vagueness, vacuity, or lack of testability—do not apply. CP (...) laws also cannot be said to be simply false due to the indefinitely many conditions not explicitly stated in their associated model: scientific CP clauses imply that these are, given the evidence, not nomically relevant. (shrink)

This paper investigates the interaction between semantic theories for cp-laws (roughly, laws that hold “all things equal”) and metaphysical theories of kinds in the special sciences. Its central conclusion is that cp-laws concerning kinds behave differently from cp-laws concerning non-kinds: “ravens are black” which concerns the kind corvus corax, behaves differently from from “albino ravens are white” which concerns the non-kind grouping of albino ravens. I argue that this difference is in the first instance logical: the two sorts of cp-laws (...) give rise to different inferential patterns. I draw two further conclusions. The difference in logical behavior poses a severe problem for extant semantic theories of cp-laws, and: we cannot elucidate the distinction between kinds and non-kinds by suggesting that only kinds can appear in laws. (shrink)

Most of the regularities that get represented as ‘laws’ in our sciences arise from, and are to be found regularly associated with, the successful operation of a nomological machine. Reference to the nomological machine must be included in the cp-clause of a cp-law if the entire cp-claim is to be true. We agree, for example, ‘ceteris paribus aspirins cure headaches’, but insist that they can only do so when swallowed by someone with the right physiological makeup and a headache. Besides (...) providing a necessary condition on the truth of the cp-law claim, recognising the nomological machine has great practical importance. Referring to the nomological machine makes explicit where the regularities are to be found, which is of central importance to the use of cp-laws for prediction and manipulation. Equally important, bringing the nomological machine to the fore brings into focus the make-up of the machine—its parts, their powers and their arrangements—and its context case-by-case. (shrink)

In their influential paper “Ceteris Paribus, There is No Problem of Provisos”, Earman and Roberts (Synthese 118:439–478, 1999) propose to interpret the non-strict generalizations of the special sciences as statistical generalizations about correlations. I call this view the “statistical account”. Earman and Roberts claim that statistical generalizations are not qualified by “non-lazy” ceteris paribus conditions. The statistical account is an attractive view, since it looks exactly like what everybody wants: it is a simple and intelligible theory of special science laws (...) without the need for mysterious ceteris paribus conditions. I present two challenges to the statistical account. According to the first challenge, the statistical account does not get rid of so-called “non-lazy” ceteris paribus conditions. This result undermines one of the alleged and central advantages of the statistical account. The second challenge is that the statistical account, qua general theory of special science laws, is weakened by the fact that idealized law statements resist a purely statistical interpretation. (shrink)

What are ceteris paribus laws? Which disciplines appeal to cp laws and which semantics, metaphysical underpinning, and epistemological dimensions do cp law statements have? Firstly, we give a short overview of the recent discussion on cp laws, which addresses these questions. Secondly, we suggest that given the rich and diverse literature on cp laws a broad conception of cp laws should be endorsed which takes into account the different ways in which laws can be non-universal . Finally, we provide an (...) overview of the special issue on that basis and describe the individual contributions to the special issue according to the issues they address: the range of applications of cp laws as well as the semantics, metaphysics, and epistemology pertaining to cp law statements. (shrink)

I propose understanding CP-law statements as statements that assert the existence of vague statistical laws, not by fully specifying the contents of those laws, but by picking them out via a description that is both self-referential and self-locating. I argue that this proposal validates many common assumptions about CP-laws and correctly classifies many examples of putative CP-laws. It does this while avoiding the most serious worries that motivate some philosophers to be skeptical of CP-laws, namely the worry that they lack (...) non-trivial truth conditions and that it is impossible for empirical evidence to disconfirm them. (shrink)

This paper combines two ideas: (1) That the Lewisian best system analysis of lawhood (BSA) can cope with laws that have exceptions (cf. Braddon-Mitchell in Noûs 35(2):260–277, 2001; Schrenk in The metaphysics of ceteris paribus laws. Ontos, Frankfurt, 2007). (2) That a BSA can be executed not only on the mosaic of perfectly natural properties but also on any set of special science properties (cf., inter alia, Schrenk 2007, Selected papers contributed to the sections of GAP.6, 6th international congress of (...) the society for analytical philosophy. Mentis, Paderborn/Münster, 2008; Cohen and Callender in Philos Stud 145:1–34, 2009, Erkenntnis 73:427–447, 2010). Bringing together (1) and (2) results in an analysis of special science ceteris paribus laws. (shrink)

This paper has three goals. The first goal is to work out the difference between literal ceteris paribus laws in the sense of “all others being equal” and ceteris rectis “laws” in the sense of “all others being right”. While cp laws involve a universal quantification, cr generalizations involve an existential quantification over the values of the remainder variables Z. As a result, the two differ crucially in their confirmability and lawlikeness. The second goal is to provide a classification of (...) different kinds of cr generalizations, including certain transition cases between cr generalizations and cp laws. The third goal is to work out what cp laws and all kinds of cr assertions have in common: they figure as an information source for assertions of causal influence between variables. (shrink)

The paper focuses on interpreting ceteris paribus conditions as normal conditions. After discussing six basic problems for the explication of normal conditions and seven interpretations that do not well solve those problems I turn to what I call the epistemic account. According to it the normal is, roughly, the not unexpected. This is developed into a rigorous constructive account of normal conditions, which makes essential use of ranking theory and in particular allows to explain the phenomenon of multiply exceptional conditions. (...) Finally, this static account is extended to a schematic dynamic model of how we may learn about those normal and exceptional conditions. (shrink)

Why are causal generalizations in the higher-level sciences “inexact”? That is, why do they have apparent exceptions? This paper offers one explanation: many causal generalizations cite as their antecedent—the \(F\) in \(Fs\,\, {\textit{are}}\,\, G\) —a property that is not causally relevant to the consequent, but which is rather “entangled” with a causally relevant property. Entanglement is a relation that may exist for many reasons, and that allows of exceptions. Causal generalizations that specify entangled but causally irrelevant antecedents therefore tolerate exceptions.

This paper argues that ceteris paribus (cp) laws exist based on a Lewisian best system analysis of lawhood (BSA). Furthermore, it shows that a BSA faces a second trivialization problem besides the one identified by Lewis. The first point concerns an argument against cp laws by Earman and Roberts. The second point aims to help making some assumptions of the BSA explicit. To address the second trivialization problem, a restriction in terms of natural logical constants is proposed that allows one (...) to describe regularities, as specified by basic generics (e.g. ‘birds can fly’) and universals (e.g. ‘all birds can fly’). It is argued that cp laws rather than strict laws might be a part of the the best system of such a regularity-based BSA, since sets of cp laws can be both (a) simpler and (b) stronger when reconstructed as generic non-material conditionals. Yet, if sets of cp laws might be a part of the best system of a BSA and thus qualify as proper laws of nature, it seems reasonable to conclude that at least some cp laws qualify as proper laws of nature. (shrink)

I reconsider a type of counterfactual argument often used in historical sciences on a recent widely discussed example of the so-called “rare Earth” hypothesis in planetary sciences and astrobiology. The argument is based on the alleged “rarity” of some crucial ingredient for the planetary habitability, which is, in Earth’s case, provided by contingent evolutionary development. For instance, the claim that a contingent fact of history which has created planet Jupiter enables shielding of Earth from most dangerous impact catastrophes, thus increasing (...) Earth’s habitability, leads often to the conclusion that such state-of-affairs must be rare in the Galaxy. I argue that this reasoning is deeply flawed, for several closely related reasons. In addition, the relevance of the philosophical problem of transworld identity for this kind of historical reasoning in science is put forward. This highlights many explanatory problems one faces when using historical counterfactuals in study of complex, nonlinear dynamical systems – and bolsters the relevance of philosophy for evaluation of scientific explanatory claims. (shrink)

The Simple Counterfactual Analysis (SCA) was once considered the most promising analysis of disposition ascriptions. According to SCA, disposition ascriptions are to be analyzed in terms of counterfactual conditionals. In the last few decades, however, SCA has become the target of a battery of counterexamples. In all counterexamples, something seems to be interfering with a certain object’s having or not having a certain disposition thus making the truth-values of the disposition ascription and of its associated counterfactual come apart. Intuitively, however, (...) it would seem that, if all interferences were absent, the disposition ascription and its associated conditional would have the same truth-value. Although this idea may seem obvious, it is far from obvious how to implement it. In fact, it has become widely assumed that the content of qualifying ceteris paribus clauses (such as ‘if all interferences were absent’) cannot be specified in a clear and non-circular manner. In this paper, I will argue that this assumption is wrong. I will develop an analysis of disposition ascriptions, the Interference-Free Counterfactual Analysis, which relies on a clear and non-circular definition of the notion of interference and avoids the standard counterexamples to SCA while vindicating the intuition that disposition ascriptions and counterfactual conditionals are intimately related. (Please note that an erratum has been issued for the published version of this paper. It is recommended to read the self-archived version of the paper.). (shrink)

Laws of nature are properly (if controversially) conceived as abstract entities playing a governing role in the physical universe. Dispositionalists typically hold that laws of nature are not real, or at least are not fundamental, and that regularities in the physical universe are grounded in the causal powers of objects. By contrast, I argue that dispositionalism implies nomic realism: since at least some dispositions have ceteris paribus clauses incorporating uninstantiated universals, and these ceteris paribus clauses help to determine their dispositions' (...) ranges of manifestation, there are indeed abstracta which play a governing role in the physical universe. After addressing several objections (including the objection that such ‘laws’ lack sufficient independence/externality from the dispositions to count as genuinely governing), I go on to consider some broader implications of this conclusion for other debates in metaphysics and the philosophy of science.1. (shrink)

The paper argues against the widely accepted assumption that the causal laws of (completed) physics, in contrast to those of the special sciences, are essentially strict. This claim played an important role already in debates about the anomalousness of the mental, and it currently experiences a renaissance in various discussions about mental causation, projectability of special science laws, and the nature of physical laws. By illustrating the distinction with some paradigmatic physical laws, the paper demonstrates that only law schemata are (...) strict whereas causal laws are generally non-strict. Several potential replies to this argument are discussed and rejected as unsound. (shrink)

John Earman and John T. Roberts advocate a challenging and radical claim regarding the semantics of laws in the special sciences: the statistical account. According to this account, a typical special science law “asserts a certain precisely defined statistical relation among well-defined variables” and this statistical relation does not require being hedged by ceteris paribus conditions. In this paper, we raise two objections against the attempt to cash out the content of special science generalizations in statistical terms.

I argue that there are at least two concepts of law of nature worthy of philosophical interest: strong law and weak law. Strong laws are the laws investigated by fundamental physics, while weak laws feature prominently in the “special sciences” and in a variety of non-scientific contexts. In the first section, I clarify my methodology, which has to do with arguing about concepts. In the next section, I offer a detailed description of strong laws, which I claim satisfy four criteria: (...) (1) If it is a strong law that L then it also true that L; (2) strong laws would continue to be true, were the world to be different in some physically possible way; (3) strong laws do not depend on context or human interest; (4) strong laws feature in scientific explanations but cannot be scientifically explained. I then spell out some philosophical consequences: (1) is incompatible with Cartwright’s contention that “laws lie” (2) with Lewis’s “best-system” account of laws, and (3) with contextualism about laws. In the final section, I argue that weak laws are distinguished by (approximately) meeting some but not all of these criteria. I provide a preliminary account of the scientific value of weak laws, and argue that they cannot plausibly be understood as ceteris paribus laws. (shrink)

The Scientific Revolution spawned not just one methodology, but two. We have emphasized Bacon's inductivism at the expense of Galileo's more abstract, sophisticated method of successive approximation, and so have failed to appreciate Galileo's contribution to the ceteris paribus problem in philosophy of science. My purpose here is to help redress this imbalance. I first briefly review the old unsolved problems, and then point out the Baconian basis of ceteris paribus, as this clause is conventionally understood, and its history from (...) Aristotle to twentieth century Positivism. Then I explore Galileo's method of dealing with unwanted impediments, and the more general problem of 'accidents.' I trace his methodology back to Archimedes and forward through the economic theories of Adam Smith (18th century), J. S. Mill (19th) and Milton Friedman (20th). Finally, I point out ways in which I think Galileo's scientific method sheds light on, and provides a partial solution to, the ceteris paribus problem. (shrink)

Silva-Rui_Ceteris-paribus-laws-and-the-human-sciences.

What do the words "ceteris paribus" add to a causal hypothesis, that is, to a generalization that is intended to articulate the consequences of a causal mechanism? One answer, which looks almost too good to be true, is that a ceteris paribus hedge restricts the scope of the hypothesis to those cases where nothing undermines, interferes with, or undoes the effect of the mechanism in question, even if the hypothesis's own formulator is otherwise unable to specify fully what might constitute (...) such undermining or interference. I will propose a semantics for causal generalizations according to which ceteris paribus hedges deliver on this promise, because the truth conditions for a causal generalization depend in part on the—perhaps unknown—nature of the mechanism whose consequences it is intended to describe. It follows that the truth conditions for causal hypotheses are typically opaque to the very scientists who formulate and test them. (shrink)

A dispositional property is a tendency, or potency, to manifest some characteristic behaviour in some appropriate context. The mainstream view in the twentieth century was that such properties are to be explained in terms of more fundamental non-dispositional properties, together with the laws of nature. In the last few decades, however, a rival view has become popular, according to which some properties are essentially dispositional in nature, and the laws of nature are to be explained in terms of these fundamental (...) dispositions. The supposed ability of fundamental dispositions to ground natural laws is one of the most attractive features of the dispositional essentialist position. In this paper, however, I cast doubt on the ability of dispositional essences to ground the laws of nature. In particular I argue that the dispositional essentialist position is not able to coherently respond?sympathetically or otherwise?to Cartwright's challenge that there are no true general laws of nature. (shrink)

The problem of ceteris paribus clauses and Hempel’s problem of provisos are closely-related difficulties. Both challenge advocates of accounts of scientific theories involving laws understood as universal generalizations, and they have been treated as identical problems. Earman and Roberts argue that the problems are distinct. Towards arguing against them, I characterize the relationship between Hempel’s provisos and one way of expressing ceteris paribus clauses. I then describe the relationship between the problems attributed to the clauses, suggesting that they form a (...) single problem-cluster. However, Hempel’s way of formulating provisos and discussing what they involve entangles provisos with the problem of skepticism. This creates a departure in Hempel’s discussion of provisos from the distinctive problem of vacuity which characterizes the problem of ceteris paribus clauses, though for different reasons than Earman and Roberts suggest. (shrink)

Since the seventeenth century, our understanding of the natural world has been one of phenomena that behave in accordance with natural laws. While other elements of the early modern scientific worldview may be rejected or at least held in question—the metaphor of the world as a great machine, the narrowly mechanist assumption that all physical interactions must be contact interactions, the idea that matter might actually be obeying rules laid down by its Divine Author – the notion of natural law (...) has continued to play a pivotal role in actual scientific practice, in our philosophical interpretations of science, and in their its metaphysical implications. (shrink)

Standard objections to the notion of a hedged, or ceteris paribus, law of nature usually boil down to the claim that such laws would be either 1) irredeemably vague, 2) untestable, 3) vacuous, 4) false, or a combination thereof. Using epidemiological studies in nutrition science as an example, I show that this is not true of the hedged law-like generalizations derived from data models used to interpret large and varied sets of empirical observations. Although it may be ‘in principle impossible’ (...) to construct models that explicitly identify all potential causal interferers with the relevant generalization, the view that our failure to do so is fatal to the very notion of a cp-law is plausible only if one illicitly infers metaphysical impossibility from epistemic impossibility. I close with the suggestion that a model-theoretic approach to cp-laws poses a problem for recent attempts to formulate a Mill-Ramsey-Lewis theory of cp-laws. (shrink)