Call an explanation in which a non-mathematical fact is explained—in part or in whole—by mathematical facts: an extra-mathematical explanation. Such explanations have attracted a great deal of interest recently in arguments over mathematical realism. In this article, a theory of extra-mathematical explanation is developed. The theory is modelled on a deductive-nomological theory of scientific explanation. A basic DN account of extra-mathematical explanation is proposed and then redeveloped in the light of two difficulties that the basic theory faces. The final view (...) appeals to relevance logic and uses resources in information theory to understand the explanatory relationship between mathematical and physical facts. 1Introduction2Anchoring3The Basic Deductive-Mathematical Account4The Genuineness Problem5Irrelevance6Relevance and Information7Objections and Replies 7.1Against relevance logic7.2Too epistemic7.3Informational containment8Conclusion. (shrink)

Humeans and anti-Humeans agree that laws of nature should explain scientifically particular matters of fact. One objection to Humean accounts of laws contends that Humean laws cannot explain particular matters of fact because their explanations are harmfully circular. This article distinguishes between metaphysical and semantic characterizations of the circularity and argues for a new semantic version of the circularity objection. The new formulation suggests that Humean explanations are harmfully circular because the content of the sentences being explained is part of (...) the content of the sentences doing the explaining. I describe the nature of partial content and demonstrate how this account of partial content renders Humean explanations ineffective while sparing anti-Humean explanations from the same fate. 1Introduction2Standard Formulations of the Circularity Charge3Humean Responses4Semantic Characterizations of the Circularity Worry 4.1Hempel and Oppenheim’s semantic circularity concern4.2A new version of the semantic circularity charge4.3Partial content as a guide to circularity5Humean Responses to the Semantic Circularity Charge 5.1Smuggling in metaphysics through the back door?5.2Do anti-Humean laws fare any better?5.3The over-generalization concern6ConclusionAppendix. (shrink)

Recent literature on non-causal explanation raises the question as to whether explanatory monism, the thesis that all explanations submit to the same analysis, is true. The leading monist proposal holds that all explanations support change-relating counterfactuals. We provide several objections to this monist position. 1Introduction2Change-Relating Monism's Three Problems3Dependency and Monism: Unhappy Together4Another Challenge: Counterfactual Incidentalism4.1High-grade necessity4.2Unity in diversity5Conclusion.

What accounts for how we know that certain rules of reasoning, such as reasoning by Modus Ponens, are valid? If our knowledge of validity must be based on some reasoning, then we seem to be committed to the legitimacy of rule-circular arguments for validity. This paper raises a new difficulty for the rule-circular account of our knowledge of validity. The source of the problem is that, contrary to traditional wisdom, a universal generalization cannot be inferred just on the basis of (...) reasoning about an arbitrary object. I argue in favor of a more sophisticated constraint on reasoning by universal generalization, one which undermines a rule-circular account of our knowledge of validity. (shrink)

This review of recent work in the philosophy of science motivated by a commitment to 'naturalism' begins by identifying three key axioms and one theorem shared by philosophers thus self-styled. Owing much to Quine and Ernest Nagel, these philosophers of science share a common agenda with naturalists elsewhere in philosophy. But they have disagreed among themselves about how the axioms and the theorems they share settle long-standing disputes in the philosophy of science. After expounding these disagreements in the work of (...) Boyd, Giere, Laudan, and Kitcher, I argue that naturalism needs to look for more than mere consistency in its foundations. (shrink)

In this article, I consider an important challenge to the popular theory of scientific inference commonly known as ‘inference to the best explanation’, one that has received scant attention.1 1 The problem is that there exists a wide array of rival models of explanation, thus leaving IBE objectionably indeterminate. First, I briefly introduce IBE. Then, I motivate the problem and offer three potential solutions, the most plausible of which is to adopt a kind of pluralism about the rival models of (...) explanation. However, I argue that how ranking explanations on this pluralistic account of IBE remains obscure and pluralism leads to contradictory results. In light of these objections, I attempt to dissolve the problem by showing why IBE does not require a ‘model’ of explanation and by giving an account of what explanation consists in within the context of IBE. (shrink)

Unlike with randomized controlled trials (RCTs) in clinical research, little has been said about the ethical principles that should regulate the use of RCTs in experimental development economics. One well-known principle in clinical research ethics is the principle of clinical equipoise. Some recent commentators suggest that an analogue of clinical equipoise should play a role in experimental development economics. In this article, I first highlight some difficulties with importing the concept to experimental development economics. I then argue that MacKay’s (2018, (...) 2020) notion of policy equipoise avoids these difficulties and has a role to play in experimental development economics. (shrink)

There is a major debate as to whether there are non-causal mathematical explanations of physical facts that show how the facts under question arise from a degree of mathematical necessity considered stronger than that of contingent causal laws. We focus on Marc Lange’s account of distinctively mathematical explanations to argue that purported mathematical explanations are essentially causal explanations in disguise and are no different from ordinary applications of mathematics. This is because these explanations work not by appealing to what the (...) world must be like as a matter of mathematical necessity but by appealing to various contingent causal facts. (shrink)

Ever since Plato, philosophers have developed rational arguments for the existence of God. In the last decades the philosophical interest in these arguments has grown again significantly. In this book cosmological arguments are investigated. A cosmological argument derives the existence of God from the fact that there exist caused things. In the first part of this book the author argues that these arguments show that it is plausible that the cosmos was brought about by a necessarily existing conscious, free being. (...) However, as is shown as well, it does not follow that this being is also the first cause of the whole of reality, something typically said of God. In the second part of the book a new argument for the existence of a first cause is presented, based on the premises of atomism and causalism. Subsequently, the author proposes a new modal-epistemic argument for the existence of a conscious, free being who is the first cause of reality. Objections to both new arguments are evaluated and refuted. The book concludes with the observation that these arguments can be combined with cosmological arguments in order to arrive at a renewed case for theism. (shrink)

RésuméLa critique kantienne de la psychologie rationnelle est une expérience de pensée visant ni un individu ni une école, mais une tendance de la raison humaine à « hypostasier » la condition intellectuelle suprême d'une connaissance quelconque (le « Je pense ») en connaissance du « moi ». Cette tendance implique une circularité qui est également la cible des critiques transcendantales bien plus familières qui visent Locke et Hume. De même qu'un nouveau type de cercle (dit « de niveau »), (...) cet article propose une conception des arguments transcendantaux différente de celle présupposée dans la plupart des débats contemporains sur l'empirisme, le naturalisme et le fondationnalisme cartésien. (shrink)

(This is the preprint version) This book is about disease, but disease from a very specific perspective, namely that of evolutionary medicine. However, in doing so, it explains evolutionary medicine in its current form now, criticizes it, and tries to apply it not directly on disease instances or tokens of disease, but rather the concept of disease. Doing so, the aim of this book is to ask the question; how to build a better concept of disease? The parts of the (...) answer to this question are answered in different chapters piece by piece, trying to give an account of a better concept first and giving an account of how to see the concept of disease grounded differently. This book is not about giving every possible account of disease, or even the major ones including the established or traditional concept. This book is not about providing a singular perspective on diseases in general, however it assumes a general orthodoxy of medicalized disease understanding. In this book, I will defend the thesis that, when the concept of disease is seen from perspectives provided by evolutionary biology, the ontology of disease and the surrounding perspectives shall change, leading our understandings in medicine related to concept of disease and social, action guiding concepts to shift towards a more individualized and care based understanding of medicine to overcome the epistemic injustices that are done by the orthodox understanding of disease that prevails in medicine. (shrink)

Concepts originating in the philosophy of science generally are used only ritualistically and in careful isolation from research practice in political science. But philosophical considerations are fundamental to political research, and critically influence its decisions. The question is whether ideas offered by philosophers of science have practical (that is to say, theoretical) significance for political researchers. This essay argues that philosophy of science has extremely relevant ideas to offer. The argument proceeds through an initial presentation of some elementary notions drawn (...) from reconstructions of the nature of concept formation-theory construction. These are then utilized in a critique of the research of quantitative political scientists. Three rather central concerns of this, still very young, discipline are discussed: measurement problems, the use of recursive and structural systems in causal modeling, and the primary logical function of multivariate analysis in political studies. The discussion is viewed as supporting the general point that applied philosophy of science ought to be, not an adjunct, but one of the key critical contributors to political research. (shrink)

We canvas a number of past uses of Ramsey sentences which have yielded disappointing results, and then consider three very interesting recent attempts to deploy them for a Ramseyan Dialetheist theory of truth, a modal account of laws and theories, and a criterion for the existence of factual properties. We think that once attention is given to the specific kinds of theories that Ramsey had in mind, it becomes evident that their Ramsey sentences are not the best ways of presenting (...) those theories. (shrink)