Theories of Laws of Nature

Tres conceptos metacientíficos objeto de análisis filosófico son los de ley, modelo y teoría. El objetivo de este artículo es presentar la elucidación de estos conceptos, y de sus relaciones, hecha dentro del marco del Estructuralismo Metateórico o Sneediano (BALZER; MOULINES & SNEED, 1987), y de su aplicación a un caso del ámbito de la Biología: la Genética Clásica. El análisis realizado posibilitará fundamentar, en contra de lo que sostienen algunos filósofos de la ciencia en general y de la biología (...) en particular, las siguientes afirmaciones: a) que hay “leyes” en las ciencias biológicas, b) que muchos de los heterogéneos y distintos “modelos” de la Biología pueden ser acomodados bajo alguna “teoría”, y c) que justamente esto es lo que les confiere a las teorías biológicas su gran poder unificador. (shrink)

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 goal of this thesis to defend the philosophical view of the new ante rem substantivism against its supposed alternatives. To achieve such goal, we will present four views about the nature of laws, two kinds of realism and two kinds of anti-realism, and evaluate them critically. The disadvantages from those theories are going to be presented for us to show that they are insufficient to provide a metaphysics that is able to explain the world's counterfactuality, universality, and regularity, and (...) that just one form of realism, the new ante rem substantivism, can. This goal is important because the concept of laws of nature is widely used in many areas of science and philosophy, and because according to the view we accept, the laws may fulfill some theoretical roles, and not others. We intent to show that the new ante rem substantivism's laws are able to fulfill the roles that scientists would hope the natural laws to fulfill. (shrink)

Nancy Cartwright’s arguments in favor of the phenomenological laws and against the fundamental ones are discussed. I support and strengthen her criticism of the standard covering-law account but I am skeptical in respect to her radical conclusion that the laws of physics lie. Arguments in favor of the opposite stance are based on V.S. Stepin’s analysis of mature theory structure. A mature theory-change model presented here demonstrates how the fundamental laws of physics can be confronted with experience. Its case studies (...) include the Lorentz-Einstein-Bohr transition and modern General Relativity and Quantum Field Theory unification. (shrink)

This doctoral dissertation investigates the notion of physical necessity. Specifically, it studies whether it is possible to account for non-accidental regularities without the standard assumption of a pre-existent set of governing laws. Thus, it takes side with the so called deflationist accounts of laws of nature, like the humean or the antirealist. The specific aim is to complement such accounts by providing a missing explanation of the appearance of physical necessity. In order to provide an explanation, I recur to fields (...) that have not been appealed to so far in discussions about the metaphysics of laws. Namely, I recur to complex systems’ theory, and to the foundations of statistical mechanics. The explanation proposed is inspired by how complex systems’ theory has elucidated the way patterns emerge, and by the probabilistic explanations of the 2nd law of thermodynamics. More specifically, this thesis studies how some constraints that make no direct reference to the dynamics can be a sufficient condition for obtaining in the long run, with high probability, stable regular behavior. I hope to show how certain metaphysical accounts of laws might benefit from the insights achieved in these other fields. According to the proposal studied in this thesis, some regularities are not accidental not in virtue of an underlying physical necessity. The non-accidental character of certain regular behavior is only due to its overwhelming stability. Thus, from this point of view the goal becomes to explain the stability of temporal patterns without assuming a set of pre-existent guiding laws. It is argued that the stability can be the result of a process of convergence to simpler and stable regularities from a more complex lower level. According to this project, if successful, there would be no need to postulate a (mysterious) intermediate category between logical necessity and pure contingency. Similarly, there would be no need to postulate a (mysterious) set of pre-existent governing laws. Part I of the thesis motivates part II, mostly by arguing why further explanation of the notions of physical necessity and governing laws should be welcomed (chapter 1), and by studying the plausibility of a lawless fundamental level (chapters 2 and 3). Given so, part II develops the explanation of formation of simpler and stable behavior from a more complex underlying level. (shrink)

A recurrent theme in philosophy of science since the early twentieth century is the idea that at least some basic tenets within scientific theories ought to be understood as conventions. Various versions of this idea have come to be grouped together under the label ‘conventionalism’. This chapter presents and discusses some important historical stages in the development of conventionalism. Particular attention is paid to the contributions made by Henri Poincaré, Pierre Duhem and Hans Reichenbach.

Building upon Nancy Cartwright's discussion of models in How the Laws of Physics Lie, this paper addresses solid state research in transition metal oxides. Historical analysis reveals that in this domain models function both as the culmination of phenomenology and the commencement of theoretical explanation. Those solid state chemists who concentrate on the description of phenomena pertinent to specific elements or compounds assess models according to different standards than those who seek explanation grounded in approximate applications of the Schroedinger equation. (...) Accurate accounts of scientific debate in this field must include both perspectives. (shrink)

INTERNATIONAL STUDIES IN THE PHILOSOPHY OF SCIENCE Vol. 5, number 1, Autumn 1991, pp. 79-87. R.M. Nugayev. -/- The fundamental laws of physics can tell the truth. -/- Abstract. Nancy Cartwright’s arguments in favour of phenomenological laws and against fundamental ones are discussed. Her criticisms of the standard cjvering-law account are extended using Vyacheslav Stepin’s analysis of the structure of fundamental theories. It is argued that Cartwright’s thesis 9that the laws of physics lie) is too radical to accept. A model (...) of theory change is proposed which demonstrates how the fundamental laws of physics can, in fact, be confronted with experience. -/- . (shrink)

Cartwright attempts to argue from an analysis of the composition of forces, and more generally the composition of laws, to the conclusion that laws must be regarded as false. A response to Cartwright is developed which contends that properly understood composition poses no threat to the truth of laws, even though agreeing with Cartwright that laws do not satisfy the "facticity" requirement. My analysis draws especially on the work of Creary, Bhaskar, Mill, and points towards a general rejection of Cartwright's (...) view that laws, especially fundamental laws, should be seen as false. (shrink)

We argue that if there are laws of nature, then there must also be accidents. If the “laws” in a world suffice to determine the world’s entire history, then these “laws” cannot play various central roles characteristic of laws, and thus (we conclude) they are not laws at all. Many proposed accounts of lawhood (primitivist accounts, universals accounts, the Best System Account, the Package Deal Account, essentialist accounts) inappropriately permit worlds with laws but no accidents. We identify two otherwise dissimilar (...) accounts that correctly (on our view) deem such worlds impossible; one is Humean and the other is non-Humean. (shrink)

Many authors have proposed that grounding is closely related to metaphysical laws. However, we argue that no existing theory of metaphysical laws is sufficiently general. In this paper we develop a general theory of grounding laws, proposing that they are generative relations between pluralities of propositions and propositions. We develop the account in an essentialist language; this allows us to state precisely the sense in which grounding might be reduced to laws. We then put the theory to use in showing (...) how moral laws can play a role in grounding particular moral facts, in defending monism about ground, and in showing in what sense there is no gap between the grounds and the grounded. Finally, we make a novel proposal about what grounds facts about ground. (shrink)

According to the grounding theory of powers, fundamental physical properties should be thought of as qualities that ground dispositions. Although this view has recently been defended by many different philosophers, there is no consensus for how the view should be developed within a broader metaphysics of properties. Recently, Tugby has argued that the view should be developed in the context of a Platonic theory of properties, where properties are abstract universals. I will argue that the view should not be developed (...) within such a framework. Either the view should be developed with an ontology of Aristotelian properties, or it should be developed in a Nominalist framework that contains no properties at all. (shrink)

In recent work, Adlam (2022b), Chen & Goldstein (2022), and Meacham (2023) have defended accounts of laws that take laws to be primitive global constraints. A major advantage of these accounts is that they’re able to accommodate the many different kinds of laws that appear in physical theories. In this paper I’ll present these three accounts, highlight their distinguishing features, and note some key differences that might lead one to favor one of these accounts over the others. I’ll conclude by (...) briefly discussing a version of a “constraint” account that I think is especially attractive. (shrink)

On a highly influential way to think of modality, that I call ‘relationalism’, the modality of a state is explained by its being composed of properties, and these properties being related by a higher-order and primitively modal relation. Examples of relationalism are the Dretske-Tooley-Armstrong account of natural necessity, many dispositional essentialist views, and Wang’s incompatibility primitivism. I argue that relationalism faces four difficulties: that the selection between modal relations is arbitrary, that the modal relation cannot belong to any logical order, (...) that to explain how the modal relation can relate properties of different adicities additional ideological complexity has to be introduced, and that not all modal constraints are relational. From the discussion, I will extract desiderata for a successor theory of modality. (shrink)

A common feature of all standard theories of the laws of nature is that they are "absolutist": They take laws to be either all metaphysically necessary or all contingent. Science, however, gives us reason to think that there are laws of both kinds, suggesting that standard theories should make way for "non-absolutist" alternatives: theories which accommodate laws of both modal statuses. In this paper, we set out three explanatory challenges for any candidate non-absolutist theory and discuss the prospects of the (...) two extant candidates in light of these challenges. We then develop our own non-absolutist theory, the essentialist DTA account, which combines the nomic-necessitation or DTA account with an essentialist approach to metaphysical modality in order to meet the three explanatory challenges. Finally, we argue that the distinction between kinematical and dynamical laws found in physical theories supports both non-absolutism in general and our proposed essentialist DTA view in particular. (shrink)

Bird reveals an important problem at the heart of Armstrong’s theory of laws of nature: to explain how a law necessitates its corresponding regularity, Armstrong is committed to a vicious regress. In his very brief response, Armstrong gestures towards an argument that, as he admits, is more of a “speculation.” Later, Barker and Smart argue that a very similar problem threatens Bird’s dispositional monist theory of laws of nature and he is committed to a similar vicious regress. In this paper, (...) first, I construct Armstrong’s would-be argument in response to Bird. Second, I argue that his response makes his account of laws and natural properties incompatible with science. Finally, I argue that Armstrong’s strategy to address Bird’s criticism can be used, quite ironically, to defuse Barker and Smart’s argument against Bird. (shrink)

Some recent literature [Hicks, M. T. and van Elswyk. P., (2015) pp. 433-443, 2015; Bhogal, H. (2017), pp. 447-460] has argued that the non-Humean conceptions of laws of nature have a same weakness as the Humean conceptions of laws of nature. That is, both conceptions face an explanatory circularity problem. The argument is as follows: the Humean and the non-Humean conceptions of laws of nature agree that the law statements are universal generalisations; thus, both conceptions are vulnerable to an explanatory (...) circularity problem between the laws of nature and their instances. In this paper, I argue that Armstrong’s necessitarian view of laws of nature is invulnerable to this explanatory circularity problem. (shrink)

According to a well-known argument against dispositional essentialism, the nature of unmanifested token powers leaves dispositional essentialists with an objectionable commitment to the reality of non-existent entities. The idea is that, because unmanifested token powers are directed at their non-existent token manifestations, they require the reality of those manifestations. Arguably the most promising response to this argument works by claiming that, if properties are universals, dispositional directedness need only entail the reality of actually existing manifestation types. I argue that this (...) response fails, because no version of the response can adequately accommodate dispositions of the sort that follow from Coulomb’s law. This result both defeats an important argument that dispositional essentialists ought to be realists about universals and appears to leave dispositional essentialists with a problematic commitment to either non-relational connections or a Meinongian ontology. (shrink)

David Armstrong (1926-2014) was much the most internationally successful philosopher to come from Sydney. His life moved from a privileged Empire childhood and student of John Anderson to acclaimed elder statesman of realist philosophy. His philosophy developed from an Andersonian realist inheritance to major contributions on materialist theory of mind and the theory of universals. His views on several other topics such as religion and ethics are surveyed briefly.

David Armstrong accepted the following three theses: universals are immanent, laws are relations between universals, and laws govern. Taken together, they form an attractive position, for they promise to explain regularities in nature—one of the most important desiderata for a theory of laws and properties—while remaining compatible with naturalism. However, I argue that the three theses are incompatible. The basic idea is that each thesis makes an explanatory claim, but the three claims can be shown to run in a problematic (...) circle. I then consider which thesis we ought to reject and suggest some general lessons for the metaphysics of laws. (shrink)

The purposes of this paper are: (1) to present four theories of the nature of natural laws, (2) to show that only one of them is capable of adequately answering to Tooley’s Cases, and (3) indicate why these cases are relevant for our ontology. These purposes are important since the concept of “natural law” is used in many (if not all) realms of natural science and in many branches of philosophy; if Tooley’s cases are possible, they represent situations that must (...) be adequately described. If there is only one theory that can adequately describe such cases, there are strong reasons to prefer this theory over the other ones. (shrink)

There are roughly two main understanding in philosophy of science: Epistemology of Science and Metaphysics of Science. It is examined that some concept such as Laws of Nature, Causation, Time and Space into the metaphysics of Science. In this paper, it has been studied laws of nature which is one the most important subjects in metaphysics of science. Let’s think outside the box, there are three significant views about laws of nature; Regularity Theory, Necessitation Theory and Dispositional Essential views. It (...) has been worked the views of David Lewis in regularity theory. In the section of nomic necessitation we have been scrutinised the arguments put forward by David Armstrong and finally the last section; it has been discussed Alexander Bird’s views of dispositional essentialism comparing with the other two aspects. (shrink)

D. M. Armstrong famously claims that deterministic laws of nature are contingent relations between universals and that his account can also be straightforwardly extended to irreducibly probabilistic laws of nature. For the most part, philosophers have neglected to scrutinize Armstrong’s account of probabilistic laws. This is surprising precisely because his own claims about probabilistic laws make it unclear just what he takes them to be. We offer three interpretations of what Armstrong-style probabilistic laws are, and argue that all three interpretations (...) are incompatible either with some feature of Armstrong’s broader metaphysics or with essential features of his account of laws (or both). (shrink)

I argue that the contemporary interplay of cosmology and particle physics in their joint effort to understand the processes at work during the first moments of the big bang has important implications for understanding the nature of lawhood. I focus on the phenomenon of spontaneous symmetry breaking responsible for generating the masses of certain particles. This phenomenon presents problems for the currently fashionable Dretske-Tooley-Armstrong theory and strongly favors a rival nomic ontology of causal powers.

I am going to argue for a robust realism about magnitudes, as irreducible elements in our ontology. This realistic attitude, I will argue, gives a better metaphysics than the alternatives. It suggests some new options in the philosophy of science. It also provides the materials for a better account of the mind’s relation to the world, in particular its perceptual relations.

The purposes of this paper are: (1) to present four theories of the nature of natural laws, (2) to show that only one of them is capable of adequately answering to Tooley's Cases, and (3) indicate why these cases are relevant for our ontology. These purposes are important since the concept of "natural law" is used in many (if not all) realms of natural science and in many branches of philosophy; if Tooley's cases are possible, they represent situations that must (...) be adequately described. If there is only one theory that can adequately describe such cases, there are strong reasons to prefer this theory over the other ones. (shrink)

Fred Dretske, Michael Tooley, and David Armstrong accept a theory of governing laws of nature according to which laws are atomic states of affairs that necessitate corresponding natural regularities. Some philosophers object to the Dretske/Tooley/Armstrong theory on the grounds that there is no illuminating account of the necessary connection between governing law and natural regularity. In response, Michael Tooley has provided a reductive account of this necessary connection in his book Causation (1987). In this essay, I discuss an improved version (...) of his account and argue that it fails. First, the account cannot be extended to explain the necessary connection between certain sorts of laws—namely, probabilistic laws and laws relating structural universals—and their corresponding regularities. Second, Tooley’s account succeeds only by (very subtly) incorporating primitive necessity elsewhere, so the problem of avoiding primitive necessity is merely relocated. (shrink)

Many contemporary philosophers endorse the Humean-Lewisian Denial of Absolutely Necessary Connections (‘DANC’). Among those philosophers, many deny all or part of the Humean-Lewisian package of views about causation and laws. I argue that they maintain an inconsistent set of views. DANC entails that (1) causal properties and relations are, with a few possible exceptions, always extrinsic to their bearers, (2) nomic properties and relations are, with a few possible exceptions, always extrinsic to their bearers, and (3) causal and nomic properties (...) and relations globally supervene on non-causal, non-nomic properties and relations. Hence, one can’t be a consistent Half-Hearted Humean. Consistency demands giving up the core Humean thesis or facing up to its consequences. The upshot is that we face a stark choice: either there are absolutely necessary connections between distinct existents or it’s "just one damn thing after another.". (shrink)

In the first part of this paper, I argue against the view that laws of nature are contingent, by attacking a necessary condition for its truth within the framework of a conception of laws as relations between universals. I try to show that there is no independent reason to think that universals have an essence independent of their nomological properties. However, such a non-qualitative essence is required to make sense of the idea that different laws link the same universals in (...) different possible worlds. In the second part, I give a positive argument for the necessity of at least some laws of nature, by showing with the example of a paradigmatic law of association that it consists in an internal relation between two universals which are determinables of the same class of determinates, where this relation is essential to both. Furthermore, I show that the necessity of laws of association could be accommodated within David Lewis' Humean metaphysics, but that it is incompatible with David Armstrong's combinatorialism. (shrink)

Since causal processes can be prevented and interfered with, law-governed causation is a challenge for necessitarian theories of laws of nature. To show that there is a problematic friction between necessity and interference, I focus on David Armstrong's theory; with one proviso, his lawmaker, nomological necessity, is supposed to be instantiated as the causation of the law's second relatum whenever its first relatum is instantiated. His proviso is supposed to handle interference cases, but fails to do so. In order to (...) be able to handle interferences, any theory which utilizes a kind of necessitation as lawmaker has to downgrade what it treats as necessity to something more akin to (Newtonian) forces. (shrink)

The striking difference between the orthodox nomological necessitation view of laws and the claims made recently by Scientific Essentialism is that on the latter interpretation laws are metaphysically necessary while they are contingent on the basis of the former. This shift is usually perceived as an upgrading: essentialism makes the laws as robust as possible. The aim of my paper—in which I contrast Brian Ellis’s Scientific Essentialism and David Armstrong’s theory of nomological necessity—is threefold. (1) I first underline the familiar (...) fact that metaphysical necessity (of Kripkean “water is necessarily H2O” kind) is not a stronger kind of necessity than nomological necessity but an entirely different kind of thing: nomological, but not metaphysical necessity, is an intra-world necessitation which Armstrong (almost) identifies with causation; metaphysical, but not nomological necessitation, has a canonical link to possible world considerations and counterfactual reasoning. Hence, the change from one necessity to the other is not an upgrading but a substantial shift. (2) I will explain how the essentialists, who promote this shift, are nonetheless able to retain the features of nomological necessity. (3) I also explore, for both the essentialist and the Armstrongian, whether they could extract a modal force from intra-world nomological necessity which it does not have per se. I argue that such a modal force is, indeed, obtainable for them. I will close the paper with some remarks and questions about the relation between Kripkean metaphysical necessity and the modal version of nomological necessity as defined in (3). (shrink)

This paper contends that some of the recent critical appraisals of universals theories of natural laws, namely, van Fraassen's analysis of Armstrong's probabilistic laws, are largely ineffective since they fail to disclose the incompatibility of universals and any realistic natural law setting. Rather, a more profitable line of criticism is developed that contests the universalists' claim to have resolved the induction problem (i.e., the separation of natural laws from mere accidental regularities), and thereby reveals the universals' philosophically inadequate concept of (...) a physical property. (shrink)

We argue that if there are laws of nature, then there must also be accidents. If the “laws” in a world suffice to determine the world’s entire history, then these “laws” cannot play various central roles characteristic of laws, and thus (we conclude) they are not laws at all. Many proposed accounts of lawhood (primitivist accounts, universals accounts, the Best System Account, the Package Deal Account, essentialist accounts) inappropriately permit worlds with laws but no accidents. We identify two otherwise dissimilar (...) accounts that correctly (on our view) deem such worlds impossible; one is Humean and the other is non-Humean. (shrink)

One of the most intuitive views about the metaphysics of laws of nature is Tim Maudlin's idea of a Fundamental Law of Temporal Evolution. So-called FLOTEs are primitive elements of the universe that produce later states from earlier states. While FLOTEs are at home in traditional Newtonian and non-relativistic quantum mechanical theories (not to mention our pre-theoretic conception of the world), I consider here whether they can be made to work with relativity. In particular, shifting to relativistic spacetimes poses two (...) threats to FLOTEs. First, the lack of a privileged spacelike hypersurface in relativistic spacetime makes it unclear how to understand what produces what. A survey of several conceptions of the nomic production relation compatible with relativity reveals all of them to be lacking. Second, relativity motivates a four-dimensional block universe conception of time, according to which all events that will ever occur already exist. On such a view, it's unclear what work there is to be done by FLOTEs. I consider how a proponent of FLOTEs might respond, but conclude that these combined threats seriously undermine the prospects of a productive conception of laws. In short, if spacetime is relativistic, laws are not productive. (shrink)

From The Cone of Perception, volume one of my collected works, you will remember that one of the main topics in that work was V-Curvature, also called, "phenomenological velocity." In that work, although a solution to the v - curvature variable was provided as well as many graphs that yielded numerous jewels of spiral formulations in exquisite 3D color formations, that method by which the solution was found was not iterated. This chapter begins by showing how it is possible to (...) solve for something that ideally ought cancel out with itself and how, although commutation between square roots is valid, there may be room here for an alternate route of accessing a hidden dimension - that dimension we call V-Curvature, or, "Phenomenological Velocity." Herein is provided the pathway for solving for V-Curvature in terms of Csc, which can be translated into Sin and Cos functionality. Furthermore, the processing these equations through WolframAlpha yielded other insights into limits, roots, and series that logically follow. How did the solutions to the, "velocity," v - variable curvature in the Lorentz coefficient, "manifest," when the Lorentz coefficient ought cancel out with itself? The step - by - step solution below illustrates the algebraic process by which a specific solution for something that ought cancel out with itself can be found. The Sphere of Realization is a groundbreaking work of philosophical and mathematical theory. The first volume of this epic collection examines the concept of V-Curvature, or Phenomenological Velocity, using algebraic equations to explain how this phenomenon can be solved. This book goes on to explore the implications of these equations, such as limits, roots, series, and introspection into infinity, providing an alternate route for accessing a 'hidden dimension' that connects physical laws with abstract philosophical ideas. By utilizing this understanding, the author creates a platform for introspection into life and nature, and considers the philosophical implications of this perception, from the exploration of the infinity of angles to theions of time, velocity, the emergence of real numbers, and the meanings of eternity, forever, infinity, and never ending. This landmark work of mathematical exploration and philosophical discovery will challenge and expand our understanding of the universe, and invite us into a journey of introspection and understanding. An exploration of the esoteric terms therein, and the pathways they provide to access new modes of thought, will give the reader the ability to gain a greater insight into the intricacies of reality. The Sphere of Realization provides a unique and comprehensive approach to a difficult concept. Through a blend of philosophical and mathematical exploration, the author delves into the concept of V-Curvature, or Phenomenological Velocity to unlock the mysteries of "hidden dimensions" within our reality. These equations and theories allow the reader to explore angles, time, velocity, roots, series, and other related concepts. In so doing, the book offers an exciting journey into the esoteric. The author also provides insights into the emergence of real numbers from infinity, introducing concepts such as eternity, forever, and never ending in the process. A comprehensive discussion of the applicable equations and transformations, immune to the construct of time, serves as a powerful tool for unlocking a meaningful understanding of the universe. The Sphere of Realization is an opportunity to gain a deeper appreciation of the reality of our world. (shrink)

Two approaches to elevating certain laws of nature over others have come to prominence recently. On the one hand, according to the meta-laws approach, there are meta-laws, laws which relate to laws as those laws relate to particular facts. On the other hand, according to the modal, or non-absolutist, approach, some laws are necessary in a stricter sense than others. Both approaches play an important role in current research, questioning the ‘orthodoxy’ represented by the leading philosophical theories of natural laws—Humeanism, (...) the DTA view, dispositional essentialism and primitivism. This paper clarifies the relations between these two emerging approaches, as well as their applicability to physical laws and the status of the challenges they pose for standard theories of laws of nature. We first argue that, despite some significant similarities between the two approaches (especially in the context of Lange’s counterfactual account of laws), they are in general distinct and largely independent of each other. Then, we argue that the support for meta-laws from physical theory and practice is more questionable than usually presented. (shrink)

While the inference problem is widely thought to be one of the most serious problems facing non-Humean accounts of laws, Jonathan Schaffer has argued that a primitivist response straightforwardly dissolves the problem. On this basis, he claims that the inference problem is really a pseudo-problem. Here I clarify the prospects of a primitivist response to the inference problem and their implications for the philosophical significance of the problem. I argue both that it is a substantial question whether this sort of (...) response ought to be accepted and that the inference problem, contra Schaffer, remains a significant problem with important implications for the non-Humean position. I also argue that this discussion indicates grounds to be wary about applying the Schaffer-style strategy of straightforwardly dissolving problems by stipulation to other philosophical problems. (shrink)

The Great Divide in metaphysical debates about laws of nature is between Humeans, who think that laws merely describe the distribution of matter, and non-Humeans, who think that laws govern it. The metaphysics can place demands on the proper formulations of physical theories. It is sometimes assumed that the governing view requires a fundamental / intrinsic direction of time: to govern, laws must be dynamical, producing later states of the world from earlier ones, in accord with the fundamental direction of (...) time in the universe. In this paper, we propose a minimal primitivism about laws of nature (MinP) according to which there is no such requirement. On our view, laws govern by constraining the physical possibilities. Our view captures the essence of the governing view without taking on extraneous commitments about the direction of time or dynamic production. Moreover, as a version of primitivism, our view requires no reduction / analysis of laws in terms of universals, powers, or dispositions. Our view accommodates several potential candidates for fundamental laws, including the principle of least action, the Past Hypothesis, the Einstein equation of general relativity, and even controversial examples found in the Wheeler-Feynman theory of electrodynamics and retrocausal theories of quantum mechanics. By understanding governing as constraining, non-Humeans who accept MinP have the same freedom to contemplate a wide variety of candidate fundamental laws as Humeans do. (shrink)

We argue that if there are laws of nature, then there must also be accidents. If the “laws” in a world suffice to determine the world’s entire history, then these “laws” cannot play various central roles characteristic of laws, and thus (we conclude) they are not laws at all. Many proposed accounts of lawhood (primitivist accounts, universals accounts, the Best System Account, the Package Deal Account, essentialist accounts) inappropriately permit worlds with laws but no accidents. We identify two otherwise dissimilar (...) accounts that correctly (on our view) deem such worlds impossible; one is Humean and the other is non-Humean. (shrink)

In this paper, I raise a novel objection to David Lewis’s Humean account of laws. The objection is that non-universal laws are metaphysically possible, but Lewis’s account cannot accommodate them. I then propose and defend an extension of Lewis’s view that gives us an account of Humean non-universal laws.

It is widely thought that chance should be understood in reductionist terms: claims about chance should be understood as claims that certain patterns of events are instantiated. There are many possible reductionist theories of chance, differing as to which possible pattern of events they take to be chance-making. It is also widely taken to be a norm of rationality that credence should defer to chance: special cases aside, rationality requires that one’s credence function, when conditionalized on the chance-making facts, should (...) coincide with the objective chance function. It is a shortcoming of a theory of chance if it implies that this norm of rationality is unsatisfiable. The primary goal of this paper is to show, on the basis of considerations concerning computability and inductive learning, that this shortcoming is more common than one would have hoped. (shrink)

Properties have an important role in specifying different views on laws of nature: virtually any position on laws will make some reference to properties, and some of the leading views even reduce laws to properties. This chapter will first outline what laws of nature are typically taken to be and then specify their connection to properties in more detail. We then move on to consider three different accounts of properties: natural, essential, and dispositional properties, and we shall see that different (...) conceptions of properties also result in different views of the modal status of laws, such as the question of whether laws are metaphysically necessary or contingent. Finally, there are also important links specifically between properties, natural kinds, and laws of nature that deserve our attention. (shrink)

Many philosophers sympathetic with a Humean understanding of laws of nature have thought that, in the final analysis, the fundamental laws will include not only the traditional dynamical equations, but also two additional principles: the Past Hypothesis and the Statistical Postulate. The former says that the universe began in a particular very-low-entropy macrostate M(0), and the latter posits a uniform probability distribution over the microstates compatible with M(0). Such a view is arguably vindicated by the orthodox Humean Best System Account (...) (BSA). However, I argue here that recent developments of the BSA render the Past Hypothesis otiose. In particular, the trend among Humeans toward a more pragmatic view of laws — according to which the best system is the one that is maximally effective at helping creatures like us amplify our information about the world — does not support the idea that the Past Hypothesis is a law of nature. (shrink)

In recent years, an active research program has emerged that aims to develop a Humean best-system account (BSA) of laws of nature that improves on Lewis’s canonical articulation of the view. Its guiding idea is that the laws are cognitive tools tailored to the specific needs and limitations of creatures like us. While current versions of this “pragmatic Humean” research program fare much better than Lewis’s account along many dimensions, I will argue that they have trouble making sense of certain (...) key features of the practice of fundamental physics. Indeed, these features seem to go against the very idea that laws are useful for agents like us. In my view, Humeans can address these issues by paying more attention to the explanatory role of laws. Following this idea, I will propose an account on which what makes a systematization the best is a kind of explanatory power, understood along the lines of the unificationist theory of explanation. The resulting view, I will argue, can make sense of those features of laws that other pragmatic accounts of laws have trouble explaining. (shrink)

The measurement problem concerns an apparent conflict between the two fundamental principles of quantum mechanics, namely the Schrödinger equation and the measurement postulate. These principles describe inconsistent behavior for quantum systems in so-called "measurement contexts." Many theorists have thought that the measurement problem can only be resolved by proposing a mechanistic explanation of (genuine or apparent) wavefunction collapse that avoids explicit reference to "measurement." However, I argue here that the measurement problem dissolves if we accept Humeanism about laws of nature. (...) On a Humean metaphysics, there is no conflict between the two principles, nor is there any inherent problem with the concept of "measurement" figuring into the account of collapse. (shrink)

Some properties – like charge – are natural, some – like grue are unnatural. The distinction between natural and unnatural properties is normally taken as primitive. However, Barry Loewer’s Package Deal Account (PDA) aims to provide an reductive account of natural properties, integrated with a reductive account of laws of nature. In addition, the account seems to be able to apply to natural properties at the level of fundamental physics, and higher-level, special science, properties. -/- If the account is successful, (...) then, it looks to be incredibly powerful and attractive. The PDA, however, is somewhat underexplored in the literature. So the first aim of the paper is to understand the PDA better -- to map the connections between naturalness and laws on the traditional BSA and to consider how those connections have to adapted in order to develop different versions of the PDA. -/- The second aim is to start to evaluate different versions of the PDA. In particular, perhaps the most promising version of the PDA construes it as an instance of a larger approach to Humeanism — one that has been very visible in the recent literature — that focuses on the role of 'ideal observers' or 'ideal scientists'. While such an approach might be feasible, I claim, it gets its proponents much less than they were originally hoping for. (shrink)

Humean accounts of chance have a problem with undermining futures: they have to accept that some series of events are physically possible and have a nonzero chance but are inconsistent with the chances being what they are. This contradicts basic platitudes about chances (such as those given by Bigelow et al. (1993) and Schaffer (2007)) and leads to inconsistency between plausible constraints on credences. We show how Humeans can avoid these contradictions by drawing on metaphysically impossible worlds that are, nevertheless, (...) scientifically possible. One major advantage of our approach is that one single move deals with these both problems, whereas previous Humean approaches to undermining (such as that given by Lewis (1994), Thau (1994), and Hall (1994)) have only addressed the connection between credence and chance. Furthermore, our approach connects more closely with the way we employ stochastic scientific theories. And it’s part of a unified solution to other challenges that the Humean faces. (shrink)

We consider two ways one might use algorithmic randomness to characterize a probabilistic law. The first is a generative chance* law. Such laws involve a nonstandard notion of chance. The second is a probabilistic* constraining law. Such laws impose relative frequency and randomness constraints that every physically possible world must satisfy. While each notion has virtues, we argue that the latter has advantages over the former. It supports a unified governing account of non-Humean laws and provides independently motivated solutions to (...) issues in the Humean best-system account. On both notions, we have a much tighter connection between probabilistic laws and their corresponding sets of possible worlds. Certain histories permitted by traditional probabilistic laws are ruled out as physically impossible. As a result, such laws avoid one variety of empirical underdetermination, but the approach reveals other varieties of underdetermination that are typically overlooked. (shrink)

This paper defends an account of the laws of nature in terms of irreducibly modal properties (aka powers) from the threat posed by functional laws, conservation laws and symmetries. It thus shows how powers theorists can avoid ad hoc explanations and resist an inflated ontology of powers and governing laws. The key is to understand laws not as flowing from the essences of powers, as per Bird (2007), but as features of a description of how powers are possibly distributed, as (...) per Demarest (2017), Kimpton-Nye (2017, 2021) and Williams (2019); call this the Powers-BSA. This underappreciated powers-based account of laws is continuous with actual scientific practice and thereby quite naturally accommodates functional laws, conservation laws and symmetries. This paper thus positions the Powers-BSA as the leading anti-Humean account of the relationship between laws and properties. (shrink)