The essay revisits the puzzle of the ‘passage’ of time in relation to EPR-type measurements and asks what philosophical consequences can be drawn from them. Some argue that the lack of invariance of temporal order in the measurement of a space-like related EPR pair, under relativistic motion, casts serious doubts on the ‘reality’ of the lapse of time. Others argue thatcertain features of quantum mechanics establisha tensed theory of time – understood here as Possibilism or the growing block universe. The (...) paper analyzes the employment of frame-invariant entropic clocks in a relativistic setting and argues that tenselessness does not imply timelessness. But this conclusion does not support a tensed theory of time, which requires a preferred foliation. It is argued that the only reliable inference from the EPR example and the use of entropic clocks is an inference not just to a Leibnizian order of the succession of events but a frame-invariant order according to some selected clocks. (shrink)

This article investigates the relationship between Hume’s causal philosophy and Newton ’s philosophy of nature. I claim that Newton ’s experimentalist methodology in gravity research is an important background for understanding Hume’s conception of causality: Hume sees the relation of cause and effect as not being founded on a priori reasoning, similar to the way that Newton criticized non - empirical hypotheses about the properties of gravity. However, according to Hume’s criteria of causal inference, the law of universal gravitation is (...) not a complete causal law, since it does not include a reference either to contiguity or to temporal priority. It is still argued that because of the empirical success of Newton ’s theory—the law is a statement of an exceptionless repetition—Hume gives his support to it in interpreting gravity force instrumentally as if it bore a causal relation to motion. (shrink)

For the last forty years, Hume's Newtonianism has been a debated topic in Hume scholarship. The crux of the matter can be formulated by the following question: Is Hume a Newtonian philosopher? Debates concerning this question have produced two lines of interpretation. I shall call them ‘traditional’ and ‘critical’ interpretations. The traditional interpretation asserts that there are many Newtonian elements in Hume, whereas the critical interpretation seriously questions this. In this article, I consider the main points made by both lines (...) of interpretations and offer further arguments that contribute to this debate. I shall first argue, in favor of the traditional interpretation, that Hume is sympathetic to many prominently Newtonian themes in natural philosophy such as experimentalism, criticality of hypotheses, inductive proof, and criticality of Leibnizian principles of sufficient reason and intelligibility. Second, I shall argue, in accordance with the critical interpretation, that in many cases Hume... (shrink)

Given the sharp distinction that follows from Hume’s Fork, the proper epistemic status of propositions of mixed mathematics seems to be a mystery. On the one hand, mathematical propositions concern the relation of ideas. They are intuitive and demonstratively certain. On the other hand, propositions of mixed mathematics, such as in Hume’s own example, the law of conservation of momentum, are also matter of fact propositions. They concern causal relations between species of objects, and, in this sense, they are not (...) intuitive or demonstratively certain, but probable or provable. In this article, I argue that the epistemic status of propositions of mixed mathematics is that of matters of fact. I wish to show that their epistemic status is not a mystery. The reason for this is that the propositions of mixed mathematics are dependent on the Uniformity Principle, unlike the propositions of pure mathematics. (shrink)

The main aim of this paper is to explore why it is so important for Hume to defi ne ‘cause’ as he does. This will shed light on the signifi cance of the natural/philosophical relation (hereafter NPR) distinction in the Treatise. Hume's use of the NPR distinction allows him to dismiss on general grounds conceptions of causation at odds with his own. In particular, it allows him to avoid having to engage in detailed re-interpretation of potentially confl icting theories formulated (...) by natural philosophers. Moreover, it provides an instance of the normative nature of Hume's “science of man.” The paper argues that the NPR distinction - in conjunction with the so-called copy principle - is meant to undercut appeals to the authority of theories not founded on Hume's “principles.” In order to illustrate its claims about Hume, this essay explores some aspects of Newton's natural philosophy. Finally, this paper resolves a long-standing interpretive problem: how to reconcile Hume's two “defi nitions” of causation in the Treatise. (shrink)

The main aim of this paper is to explore why it is so important for Hume to defi ne ‘cause’ as he does. This will shed light on the signifi cance of the natural/philosophical relation (hereafter NPR) distinction in the Treatise. Hume's use of the NPR distinction allows him to dismiss on general grounds conceptions of causation at odds with his own. In particular, it allows him to avoid having to engage in detailed re-interpretation of potentially confl icting theories formulated (...) by natural philosophers. Moreover, it provides an instance of the normative nature of Hume's “science of man.” The paper argues that the NPR distinction - in conjunction with the so-called copy principle - is meant to undercut appeals to the authority of theories not founded on Hume's “principles.” In order to illustrate its claims about Hume, this essay explores some aspects of Newton's natural philosophy. Finally, this paper resolves a long-standing interpretive problem: how to reconcile Hume's two “defi nitions” of causation in the Treatise. (shrink)

This article surveys the state of the literature on Hume’s epistemology, focusing on treatments of what has come to be known as the ‘Kemp Smith problem’, that is, the problem of reconciling Hume’s scepticism with his naturalism. It first surveys the literature on this issue with regard to the Treatise, moving on to briefly compare the Treatise and the Enquiry in virtue of their epistemological frameworks, before finally examining the literature with regard to the first Enquiry.

Much has been written about Kemp Smith's famous problem regarding the tension between Hume's naturalism and his scepticism. However, most commentators have focused their attention on the Treatise; those who address the Enquiry often take it to express essentially the same message as the Treatise. When Hume's scepticism in the Enquiry has been investigated in its own right, commentators have tended to focus on Hume's inductive scepticism in Sections 4 and 5. All in all, it seems that Section 12 has (...) been unduly neglected. This paper seeks to address Kemp Smith's problem from the standpoint of Hume's treatment of scepticism in EHU 12, and finds an interesting internalist account that makes sense both of Hume's discussion in EHU 12, and his aims in the Enquiry as a whole. Moreover, it is one that is of substantive philosophical interest, having intriguing parallels to contemporary epistemological accounts. (shrink)

Traditionally one main emphasis of the quantum mechanical measurement theory is on the question how the pure state of the compound system 'measured system + measuring apparatus' is transformed into the 'mixture' of all possible results of that measurement, weighted with their probability: the so-called “disappearance of the interference terms”. It is argued in this note that in reality there is no such transformation, so that there is no need to account for such a transformation theoretically. _German_ Gewöhnlich liegt ein (...) Hauptgewicht der quantenmechanischen Messtheorie auf der Frage des Übergangs vom,reinen Fall' des Gesamtsystems,gemessenes System + Messgerät' in das,Gemenge' aus allen möglichen Messergebnissen, gewichtet mit ihren Wahrscheinlichkeiten: Das sog.,,Verschwinden der Interferenzterme“. In dieser Notiz wird die Meinung vertreten, dass es einen solchen Übergang faktisch nicht gibt, so dass es nicht notwendig ist, eine theoretische Erklärung für den Übergang zu geben. (shrink)

The subject of this essay-based dissertation is Hume’s natural philosophy. The dissertation consists of four separate essays and an introduction. These essays do not only treat Hume’s views on the topic of natural philosophy, but his views are placed into a broader context of history of philosophy and science, physics in particular. The introductory section outlines the historical context, shows how the individual essays are connected, expounds what kind of research methodology has been used, and encapsulates the research contributions of (...) the essays. The first essay treats Newton’s experimentalist methodology in gravity research and its relation to Hume’s causal philosophy. It is argued that Hume does not see the relation of cause and effect as being founded on a priori reasoning, similar to the way in which Newton criticized non-empirical hypotheses about the causal properties of gravity. Contrary to Hume’s rules of causation, the universal law does not include a reference either to contiguity or succession, but Hume accepts it in interpreting the force and the law of gravity instrumentally. The second article considers Newtonian and non-Newtonian elements in Hume more broadly. He is sympathetic to many prominently Newtonian themes in natural philosophy, such as experimentalism, critique of hypotheses, inductive proof, and the critique of Leibnizian principles of sufficient reason and intelligibility. However, Hume is not a Newtonian philosopher in many respects: his conceptions regarding space and time, the vacuum, the specifics of causation, the status of mechanism, and the reality of forces differ markedly from Newton’s related conceptions. The third article focuses on Hume’s Fork and the proper epistemic status of propositions of mixed mathematics. It is shown that the epistemic status of propositions of mixed mathematics, such as those concerning laws of nature, is that of matters of fact. The reason for this is that the propositions of mixed mathematics are dependent on the Uniformity Principle. The fourth article analyzes Einstein’s acknowledgement of Hume regarding special relativity. The views of the scientist and the philosopher are juxtaposed, and it is argued that there are two common points to be found in their writings, namely an empiricist theory of ideas and concepts and a relationist ontology regarding space and time. (shrink)