In this paper I defend the traditional interpretations of Kant’s Formula of a Law of Nature from recent attacks leveled by Faviola Rivera-Castro, James Furner, Ido Geiger, Pauline Kleingeld and Sven Nyholm. After a short introduction, the paper is divided into four main sections. In the first, I set out the basics of the three traditional interpretations, the Logical Contradiction Interpretation, the Practical Contradiction Interpretation and the Teleological Contradiction Interpretation. In the second, I examine the work of Geiger, (...) Kleingeld and Nyholm: these three commentators reject the traditional interpretations entirely, but I argue that this rejection is ill-founded. In the third and fourth, I take a detailed look at Furner’s work, work in which he seeks to revise (rather than reject) the traditional interpretations. I argue that, despite his more modest aims, Furner’s revision is also ill-founded. (shrink)

Many Kantian scholars have debated what normative guidance the formula of the law of nature provides. There are three ways of understanding the role of FLN in Kant’s ethics. The first line of interpretation claims that FLN and FLU are logically equivalent. The second line claims that there are only subjective differences, meaning that FLN is easier to apply than the abstrct method of FUL. The third line of interpretation claims that there are objective differences between FLN and (...) FUL in the sense that each formula has an irreducible role in Kant’s ethics. In this article I will show that the first and second lines of interpretation cannot fully explain Kant’s account of FLN and I will propose a new interpretation which pertains to the third type. I will explore the schematism model to understand the role of FLN and argue that it is an intermediary principle that fills in a practical gap between the moral law and action. In the end, I will consider a possible objection against this understanding which claims that the schematism model is not applicable to practical judgment since nothing is given in experience. (shrink)

This article argues for a revised best system account of laws of nature. David Lewis’s original BSA has two main elements. On the one hand, there is the Humean base, which is the totality of particular matters of fact that obtain in the history of the universe. On the other hand, there is what I call the ‘nomic formula’, which is a particular operation that gets applied to the Humean base in order to output the laws of (...) class='Hi'>nature. My revised account focuses on this latter element of the view. Lewis conceives of the nomic formula as a balance of simplicity and strength, but I argue that this is a mistake. Instead, I motivate and develop a different proposal for the standards that figure into the nomic formula, and I suggest a rationale for why these should be the correct standards. Specifically, I argue that the nomic formula should be conceived as a collection of desiderata designed to generate principles that are predictively useful to creatures like us. The resulting view—which I call the ‘best predictive system’ account of laws—is thus able to explain why scientists are interested in discovering the laws, and it also gives rise to laws with the sorts of features that we find in actual scientific practice 1Introduction2The LOPP3A Problem with Lewis's Formula4A Pragmatic Account of the Nomic Formula 4.1Informative dynamics4.2Wide applicability4.3Spatial locality4.4Temporal locality4.5Spatial, temporal, and rotational symmetries4.6Predictively useful properties4.7Simplicity4.8Recap5 Conclusion. (shrink)

The formula of universal law (FUL) is a natural starting point for philosophers interested in a Kantian perspective on the morality of abortion. I argue, however, that FUL does not yield much in the way of promising or substantive conclusions regarding the morality of abortion. I first reveal how two philosophers' (Hare's and Gensler's) attempts to use Kantian considerations of universality and prescriptivity fail to provide analyses of abortion that are either compelling or true to Kant=s understanding of FUL. (...) I then turn to some recent interpretations of Kant=s FUL contradiction in conception (CC) and contradiction in will (CW) tests. I argue that none of the interpretations of the CC testBincluding the practical interpretation favored by KorsgaardBdoes much to reveal moral problems with maxims of abortion. The CW test (as developed by Herman) is more helpful. Nevertheless, I argue that neither by considering abortion maxims as a subset of maxims of convenience killing, nor by considering such maxims as maxims of refusing to aid, can the CW test generate a general prohibition of abortion. At best, the CW test illuminates the abortion issue because by forcing us to think about how killing a fetus differs from killing other human beings, what attitudes we may reasonably have toward a fetus, and whether Kant's moral theory must be amended to do justice to the problem of abortion. But to pursue these questions, we must look beyond FUL; Kant’s formula of humanity and doctrine of virtue may well have more to offer. (shrink)

Where in Kant's ethical theory may we find principles, guidance, or at least insights, about the morality of abortion? The formula of universal law is a natural place to begin looking. There is a long tradition of focusing on Kant's formula of universal law as a principle for evaluating maxims, resting in part on the belief that Kant intends the formula of universal law to be so used (G 4:437-38). It is hardly surprising that some philosophers have (...) already turned to this principle searching for the — or at least a — Kantian view of abortion. (shrink)

This chapter develops a theory of categorical normativity, of those principles that have authority over us regardless of our ends and interests. It argues that there is an intimate connection between these norms and the conditions of agency. In this respect, it offers a version of constitutivism. But the version of constitutivism defended is unique in a few respects. First, it is naturalistic: agency is an emergent property, like the properties of biology and economics. Second, it is social: agency is (...) something constructed by the complex interaction of agents. And third, it supports the normativity of a particular contractualist procedure: adhering to Kant’s Formula of the Realm of Ends is a condition on agency, and so a categorical requirement. (shrink)

ABSTRACT: Critics have charged that there are gaps in the logic of Kant’s derivation of the formula of universal law. Here I defend that derivation against these charges, partly by emphasizing a neglected teleological principle that Kant alluded to in his argument, and partly by clarifying what he meant by actions’ “conformity to universal law.” He meant that actions conform to universal law just when their maxims can belong to a unified system of principles. An analogy with objects’ conformity (...) to universal law in nature helps show how Kant was correct in deriving the formula of universal law from the premises of his argument. RÉSUMÉ: Certains ont critiqué la dérivation de la formule de la loi universelle de Kant parce que la logique en serait lacunaire. Je prends la défense de la dérivation, en mettant d’abord l’accent sur un principe téléologique auquel Kant fait allusion dans son argument et, ensuite, en clarifiant ce que celui-ci entend par la «conformité à la loi universelle» des actions. Kant maintenait que les actions étaient conformes à une loi universelle seulement lorsque leurs maximes appartiennent à un système unifié de principes. Une analogie avec la conformité à la loi universelle des objets dans la nature aide à montrer pourquoi Kant avait raison de dériver la formule de la loi universelle des prémisses de son argument. (shrink)

I criticize the widely accepted “practical” interpretation of the universality test contained in Kant’s first formula of the categorical imperative in the Groundwork of the Metaphysics of Morals – the formula of the universal law of nature. I argue that this interpretation does not work for contradictions in conception because it wrongly takes contradictions in the will as the model for them and, as a consequence, cannot establish a clear distinction between the two kinds of contradiction. This (...) interpretation also assumes an understanding of universality that departs from Kant’s own and, cannot, for this reason, capture the kind of contradiction that he explicitly claims to establish. I provide an alternative interpretation, which I call revised logical interpretation, that allows us to account for contradictions in conception, including those examples that the practical interpretation cannot handle, as well as to establish a clear distinction between the two kinds of contradiction. (shrink)

Kant offers the following argument for the formula of humanity (FH): Each rational agent necessarily conceives of her own rational nature as an end in itself and does so on the same grounds as every other rational agent, so all rational agents must conceive of one another's rational nature as an end in itself. As it stands, the argument appears to be question-begging and fallacious. Drawing on resources from the formula of universal law (FUL) and Kant's (...) claims about the primacy of duties to oneself, I propose a contractualist reconstruction of this puzzling line of reasoning. (shrink)

This book addresses central issues in the philosophy and metaphysics of science, namely the nature of scientific theories, their partial truth, and the necessity of scientific laws within a moderate realist and empiricist perspective. Accordingly, good arguments in favour of the existence of unobservable entities postulated by our best theories, such as electrons, must be inductively grounded on perceptual experience and not their explanatory power as most defenders of scientific realism claim. Similarly, belief in the reality of dispositions such (...) as causal powers which ground the natural necessity of scientific laws must be based on experience. Hence, this book offers a synthetic presentation of an original metaphysics of science, namely a metaphysics of properties, both categorical and dispositional, while at the same time opposing strong versions of necessitarism according to which laws are true in all possible worlds. The main theses and arguments are clearly presented in a non-technical way. Thus, on top of being of interest to the specialists of the topics discussed, it is also useful as a textbook in courses for third year and more advanced university students. (shrink)

In two recent articles I offered a solution to an old problem in Kant’s account of the categorical imperative, that of finding a unitary interpretation of all four of the Groundwork’s applications of the Formula of the Law of Nature. In this article I bring out the unity of this solution and defend the principle of suitability interpretation of FLN from objections raised by Samuel Kahn.

This is a study of a crucial and controversial topic in metaphysics and the philosophy of science: the status of the laws of nature. D. M. Armstrong works out clearly and in comprehensive detail a largely original view that laws are relations between properties or universals. The theory is continuous with the views on universals and more generally with the scientific realism that Professor Armstrong has advanced in earlier publications. He begins here by mounting an attack on the orthodox (...) and sceptical view deriving from Hume that laws assert no more than a regularity of coincidence between instances of properties. In doing so he presents what may become the definitive statement of the case against this position. Professor Armstrong then goes on to establish his own theory in a systematic manner defending it against the most likely objections, and extending both it and the related theory of universals to cover functional and statistical laws. This treatment of the subject is refreshingly concise and vivid: it will both stimulate vigorous professional debate and make an excellent student text. (shrink)

First published in 1985, D. M. Armstrong's original work on what laws of nature are has continued to be influential in the areas of metaphysics and philosophy of science. Presenting a definitive attack on the sceptical Humean view, that laws are no more than a regularity of coincidence between stances of properties, Armstrong establishes his own theory and defends it concisely and systematically against objections. Presented in a fresh twenty-first-century series livery, and including a specially commissioned preface written by (...) Marc Lange, illuminating its continuing importance and relevance to philosophical enquiry, this influential work is available for a new generation of readers. (shrink)

In this book, S. A. Lloyd offers a radically new interpretation of Hobbes's laws of nature, revealing them to be not egoistic precepts of personal prudence but rather moral instructions for obtaining the common good.

Marc Lange’s new book on laws offers a restatement and development of the account he proposed in Natural Laws and Scientific Practice (Oxford University Press, 2000), henceforth NLSP, and the new material is helpfully summarized in the preface. Laws and Lawmakers presents the key idea from NLSP in a rather more reader-friendly manner – this idea being roughly that the difference between laws and accidents is that laws, unlike accidents, form a ‘stable’ set, i.e. a logically closed set of truths (...) such that they would all still hold under any counterfactual supposition consistent with the set. So, for example, the natural laws all still hold under counterfactual suppositions such as ‘had this match been struck …’, ‘had Bill Gates wanted to build a gold cube one mile across’ and so on; thus this set is stable. But the set of laws plus the accidental claim ‘there is no gold cube one mile across’ fails to hold under such counterfactual suppositions because had Bill Gates wanted to build a gold cube one mile across, such a cube might well have come into existence; thus this set is not stable. While the basic outline and defence of this idea is provided in Chapter 1, those wishing to delve into the intricate …. (shrink)

ABSTRACTThe predication of the eternal law served as premise and and foundation for the existence of the law of nature in the classical/medieval intellectual inheritance of Thomas Hobbes and his contemporaries. Unlike them, he makes no mention of the eternal law in his early writings, The Elements of Law Natural and Politic, and On the Citizen. His triple use of the expression eternal law of God in Leviathan is ambiguous and misleading. Instead, he is one of the first writers (...) in English to assert the eternity of the law of nature. He does that by invoking a biblical-based expression, verbum aeternum. In On the Citizen, and its exegetical, theological identification with Christ, to establish that claim. In Leviathan he repeats his declaration that the law of nature is eternal nine times, spread across more than five Chapters and twelve hundred pages. Four of them are equivalently excised from the Latin Leviathan and the others remain brief assertions, unanalyzed and undefended, rendering their effect incidental and perfunctory. He also abandons the expression verbum aeternum. (shrink)

Humean compatibilism combines a Humean conception of laws of nature with a strong dual-ability condition for free will that requires that agents possess the ability to decide differently when they make a free decision. On the Humean view of laws of nature, laws of nature are taken to be contingent non-governing descriptions of significant regularities that obtain in the entire history of the universe. On Humean compatibilism, agents are taken to possess dual ability when making free decisions (...) because what the laws of nature will finally be is (at least partially) dependent upon how an agent decides. In this paper, I argue that the tenability of Humean compatibilism depends in part upon what theory of time is correct. More specifically, I argue that Humean compatibilism is untenable in a deterministic universe if eternalism is true. (shrink)

This is a study of a crucial and controversial topic in metaphysics and the philosophy of science: the status of the laws of nature. D. M. Armstrong works out clearly and in comprehensive detail a largely original view that laws are relations between properties or universals. The theory is continuous with the views on universals and more generally with the scientific realism that Professor Armstrong has advanced in earlier publications. He begins here by mounting an attack on the orthodox (...) and sceptical view deriving from Hume that laws assert no more than a regularity of coincidence between instances of properties. In doing so he presents what may become the definitive statement of the case against this position. Professor Armstrong then goes on to establish his own theory in a systematic manner defending it against the most likely objections, and extending both it and the related theory of universals to cover functional and statistical laws. This treatment of the subject is refreshingly concise and vivid: it will both stimulate vigorous professional debate and make an excellent student text. (shrink)

The present book takes the discovery that quantum-like behaviour is not solely reserved to atomic particles one step further. If electrons are modelled as vibrating droplets instead of the usually assumed point objects, and if the classical laws of nature are applied, then exactly the same behaviour as in quantum theory is found, quantitatively correct! The world of atoms is strange and quantum mechanics, the theory of this world, is almost magic. Or is it? Tiny droplets of oil bouncing (...) round on a fluid surface can also mimic the world of quantum mechanics. For the layman - for whom the main part of this book is written - this is good news. If the everyday laws of nature can conspire to show up quantum-like phenomena, there is hope to form mental pictures how the atomic world works. The book is almost formula-free, and explains everything by using many sketches and diagrams. The mathematical derivations underlying the main text are kept separate in a -peer reviewed - appendix. The author, a retired professor of Flight Mechanics and Propulsion at the Delft University of Technology, chose to publish his findings in this mixed popular and scientific form, because he found that interested laymen more often than professional physicists feel the need to form visualisations of quantum phenomena. (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.

In this book, S. A. Lloyd provides a radical interpretation of Hobbes' laws of nature, revealing them to be not egoistic precepts of personal prudence but rather moral instructions for obtaining the common good. This account of Hobbes' moral philosophy stands in contrast to both divine command and rational choice interpretations. Drawing from the core notion of reciprocity, Lloyd explains Hobbes' system of 'cases in the law of nature' and situates Hobbes' moral philosophy in the broader context of (...) his political philosophy and views on religion. Offering ingenious new arguments, Lloyd defends a reciprocity interpretation of the laws of nature through which humanity's common good is secured. (shrink)

In the early modern period, laws of nature underwent two re markable changes: first, their role in science and philosophy was greatly expanded as they became central to investigation and explanation; and second, ontology (are the laws “real” or not?) and induction emerged as far and away the most important problems of interpretation. The dramatic expansion in the variety of the laws and their range of application, together with the emergence of ontology and induction as (the) paramount problems of (...) interpretation, so revolutionized thinking about such laws that it is hard for us, nowadays, to conceive of them in any other terms. For both historical and philosophical reasons, however, it is important that we try: historical, because as a matter of fact philosophers and scientists did not always conceive of laws of nature as we do today; philosophical, because there are ways of conceiving of the laws, different from the dominant conception nowadays, which, if properly attended to, might prove instructive. (shrink)

In his paper ‘Miracles: metaphysics, physics, and physicalism’, 1 Kirk McDermid appears to have two primary goals. The first is to demonstrate that my account of how God might produce a miracle without violating any laws of nature is radically flawed. The second is to suggest two alternative accounts, one suitable for a deterministic world, one suitable for an indeterministic world, which allow for the occurrence of a miracle without violation of the laws of nature, yet do not (...) suffer from the defects of what McDermid terms the ‘Larmerian’ model. I briefly describe my model, reply to McDermid's criticism of it, and evaluate his alternative accounts. (shrink)

This paper provides a methodologically original construction of Kant’s “Formula of Universal Law” . A formal structure consisting of possible worlds and games—a “game frame”—is used to implement Kant’s concept of a maxim and to define the two tests FUL comprises: the “contradiction in conception” and “contradiction in the will” tests. The paper makes two contributions. Firstly, the model provides a formal account of the variables that are built into FUL: agents, maxims, intentions, actions, and outcomes. This establishes a (...) clear benchmark for understanding how the mechanics of FUL actually work. Secondly, the analysis of the resulting framework sheds new light on discussions about the implications of FUL. On the basis of this, we suggest a move to “comprehensive Kantianism’, which is the application of FUL to systems of maxims rather than to isolated maxims. (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)

The title of David Armstrong’s book on the topic asks “What is a Law of Nature?” [1] The answer I will develop and motivate in this paper is that causal laws are analyses of dispositions. We describe dispositions in terms of subjunctive conditionals. For sugar to be soluble in water, for instance, is just for it to be such that if it were submerged in water (under appropriate conditions), it would dissolve. In general, we can say that for a (...) thing to have a disposition is for it to be such that were certain precipitating conditions to obtain, then a certain manifestation of the disposition would occur. [2] In the case of solubility, being submerged in water (under appropriate conditions) is the precipitating condition for the manifestation of going into solution. A careful account of the conditions under which sugar would go into solution in water, that is, an account of the specific nature of its solubility, would be a statement of law. That statement of law would tell us something about the nature of sugar in terms of the dispositions it grounds. (shrink)

Discusses the Laws of Nature from the ecclesiastical view that, ultimately, Mankind must answer to a higher Being. In the Preface, the author refers to Philosophers such as Plato, Aristotle, Socrates, & Tully, as "Heathens".

Sample chapter from H. Asgeirsson, The Nature and Value of Vagueness in the Law (Hart Publishing, 2020), in which I present and partially defend a version of what has come to be called the communicative-content theory of law. Book abstract: Lawmaking is – paradigmatically – a type of speech act: people make law by saying things. It is natural to think, therefore, that the content of the law is determined by what lawmakers communicate. However, what they communicate is sometimes (...) vague and, even when it is clear, the content itself is sometimes vague. The monograph examines the nature and consequences of these two linguistic sources of indeterminacy in the law with the aim of providing plausible answers to three related questions: In virtue of what is the law vague? What might be good about vague law? How should courts resolve cases of vagueness? (shrink)

When we mathematically model natural phenomena, there is an assumption concerning how the mathematics relates to the actual phenomenon in question. This assumption is that mathematics represents the world by “mapping on” to it. I argue that this assumption of mapping, or correspondence between mathematics and natural phenomena, breaks down when we ignore the fine grain of our physical concepts. I show that this is a source of trouble for the mapping account of applied mathematics, using the case of Prandtl’s (...) Boundary Layer solution to the Navier-Stokes equations. (shrink)

Legal theorists are familiar with John Finnis's book Natural Law and Natural Rights, but usually overlook his interventions in US constitutional debates and his membership of a group of conservative Catholic thinkers, the 'new natural lawyers', led by theologian Germain Grisez. In fact, Finnis has repeatedly advocated conservative positions concerning lesbian and gay rights, contraception and abortion, and his substantive moral theory derives from Grisez. Bamforth and Richards provide a detailed explanation of the work of the new natural lawyers within (...) and outside the Catholic Church - the first truly comprehensive explanation available to legal theorists - and criticize Grisez's and Finnis's arguments concerning sexuality and gender. New natural law is, they argue, a theology rather than a secular theory, and one which is unappealing in a modern constitutional democracy. This book will be of interest to legal and political theorists, ethicists, theologians and scholars of religious history. (shrink)

Extant semantic theories for languages containing vague expressions violate intuition by delivering the same verdict on two principles of classical propositional logic: the law of noncontradiction and the law of excluded middle. Supervaluational treatments render both valid; many-Valued treatments, Neither. The core of this paper presents a natural deduction system, Sound and complete with respect to a 'mixed' semantics which validates the law of noncontradiction but not the law of excluded middle.