In this study, we test the security of a crucial plank in the Principia’s mathematical foundation, namely Newton’s path leading to his solution of the famous Inverse Kepler Problem: a body attracted toward an immovable center by a centripetal force inversely proportional to the square of the distance from the center must move on a conic having a focus in that center. This path begins with his definitions of centripetal and motive force, moves through the second law of motion, then (...) traverses Propositions I, II, and VI, before coming to an end with Propositions XI, XII, XIII and this trio’s first corollary. To test the security of this path, we answer the following questions. How far is Newton’s path from being truly rigorous? What would it take to clarify his ambiguous definitions and laws, supply missing details, and close logical gaps? In short, what would it take to make Newton’s route to the Inverse Kepler Problem completely convincing? The answer is very surprising: it takes far less than one might have expected, given that Newton carved this path in 1687.Keywords: Isaac Newton; Principia; Centripetal force; Second law of motion; Conic orbits; Inverse Kepler Problem. (shrink)

Historians have long sought putative connections between different areas of Newton’s scientific work, while recently scholars have argued that there were causal links between even more disparate fields of his intellectual activity. In this paper I take an opposite approach, and attempt to account for certain tensions in Newton’s ‘scientific’ work by examining his great sensitivity to the disciplinary divisions that both conditioned and facilitated his early investigations in science and mathematics. These momentous undertakings, exemplified by research that he wrote (...) up in two separate notebooks, obey strict distinctions between approaches appropriate to both new and old ‘natural philosophy’ and those appropriate to the mixed mathematical sciences. He retained a fairly rigid demarcation between them until the early eighteenth century. At the same time as Newton presented the ‘mathematical principles’ of natural philosophy in his magnum opus of 1687, he remained equally committed to a separate and more private world or ontology that he publicly denigrated as hypothetical or conjectural. This is to say nothing of the worlds implicit in his work on mathematics and alchemy. He did not lurch from one overarching ontological commitment to the next but instead simultaneously—and often radically—developed generically distinct concepts and ontologies that were appropriate to specific settings and locations as well as to relevant styles of argument. Accordingly I argue that the concepts used by Newton throughout his career were intimately bound up with these appropriate generic or quasi-disciplinary ‘structures’. His later efforts to bring together active principles, aethers and voids in various works were not failures that resulted from his ‘confusion’ but were bold attempts to meld together concepts or ontologies that belonged to distinct enquiries. His analysis could not be ‘coherent’ because the structures in which they appeared were fundamentally incompatible.Author Keywords: Connectionism; Incoherence; Appropriateness; Setting; Discipline; Genre; Structure. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Ecological Ethics: An IntroductionDavid Keller (bio)Patrick Curry, Ecological Ethics: An Introduction. Malden, Massachusetts: Polity Press, 2007, 173pages.Were I in Bath having drinks with Patrick Curry, we would have much to agree about. Explaining his choice of title of his book, Ecological Ethics, he rightly points out that the more common descriptor "environmental ethics" presupposes a dualism between human beings and the nonhuman environment—an assumption which is itself anthropocentric (...) (p. 4). For philosophers interested in studying the human/ nonhuman dynamic, the legitimacy of anthropocentrism is itself an open question. Because the word 'ecology' treats humans, as biota, as integral parts of ecological systems, the phrase "ecological ethics" is less presumptuous and hence more accurate. The word 'ecological' also has the benefit of conveying the message that the subject is notgoing to involve extending moral considerability from humans out into the "environment." Instead, ecological systems as the locus of value provide the starting point for the elaboration of ethics (p. 2). For Curry, as for Leopold (1960) and Callicott (1989), "ecological community" is coextensive with the ethical community.To correlate the ethical community with the biotic community within the rubric of "ecological ethics" is nothing novel. Curry's claim that "there is something ancient about an ecological ethic" (p. 7) got me thinking: [End Page 153]prior to Abrahamic monotheism and Greek rationalism, ancient peoples, particularly nomadic hunter-gatherers, probably considered themselves as integral parts of what encompassed them, moving with herds, in concert with meteorological and seasonal changes, seeing themselves as one amongst other living beings. They probably did not see themselves apart from the "environment" as we have learned to do. Then with the advent of agriculture, linear furrows and controlled inundations must have fostered an addictive sense of security from flood and famine. Later, the innovations of industrial civilization further distanced us from the caprice of nature's wild vicissitudes. Yet that comfort comes at the expense of lost awareness of our responsibilities as bioticcitizens. Therefore, Curry says, following Sylvan (1973), we need a new ecological ethic since traditional Western morality "is no longer up to the job" (ibid.).Curry remarks that ethics, cast in this light, is not something "optional," something to be addressed after one's belly is full, debts settled, and lodging secured. Rather, ethics cuts directly to the core of human action, of all human activity (p. 5)—a claim reminiscent of Socrates' exhortation to Thrasymachus that it is no small matter that they are discussing, nothing of less importance than the right way to live one's life (Plato 2005, p. 603).Over the first sips of ale, I would praise him for giving his book a simple and straightforward structure that makes a challenging subject accessible, especially to students. After laying down the groundwork of basic concepts in moral philosophy (chapter 3)—objectivism versus relativism, the problem of the is/ought gap, religious morality and environmental philosophy (domination, stewardship, and managerialism), and virtue and rule-based ethics (chapter 4)—Curry addresses axiology (chapter 5). Are humans the sole locus of value (anthropocentrism), or are there other entities worthy of some sort of moral consideration who themselves do not carry the burden of moral responsibility (zoocentrism, biocentrism, ecocentrism)? Curry answers the latter in the affirmative, arguing that ontological interconnectedness of humans with other living beings within ecological systems discloses that something greater than humanity is the locus of value (p. 46).The most useful part of the book for my students out in Utah would be the middle chapters (6–8) in which Curry casts degrees of nonanthropocentrism [End Page 154]in shades of green. These shades range from light green or "shallow" anthropocentric ethics such Bookchin's Social Ecology (p. 50), Hardin's Lifeboat Ethics (pp. 52–54), and mainstream environmentalism (p. 51), through medium green ethics based on the extension of traditional human-oriented moral philosophy to nonhumans such as Singer's Animal Liberation (pp. 56–59), Regan's Animal Rights (pp. 59–60), and Taylor's Biocentrism (pp. 60–62). Curry proceeds to the dark green ethics of ecocentrism, such as Land Ethics (pp. 65–68), the Gaia Hypothesis (pp. 68–71... (shrink)

This paper aims to advance two claims. First, it aims to show that Hume's argument against the rationality of induction is sound. However, I claim that the conclusion does not follow merely from the self-defeating attempts to justify the rule of induction, unlike traditional readings of the argument. Rather, the skeptical conclusion must also take into account Hume's argument that the secret powers that are present in bodies and give rise to sensible qualities are unknowable. The paper's second aim is (...) to show that Newtonian induction escapes Hume's secret powers argument, given that it includes a transductive inference, from observable phenomena to the powers present in the ultimate parts of matter. Consequently Hume's argument against the rationality of induction does not demonstrate the non-rational nature of Newtonian induction. (shrink)

This chapter sketches out the journey Spinoza makes from formal being to the concept of infinite machine understood as the inexhaustible source of a post-foundational fostering power in the world. I show the genetic link between the mind as fosterer of affects, and the city of such minds as the fosterer of multitudes. Spinoza feels that the methodology appropriate to multitudes must begin from the perspective of power. I claim that Spinoza’s Tractatus politicus, deploys such a methodology in which the (...) multitude forms a particular moment of the political process. I advance an alternative methodology, still focused through the lens of power, which discloses the possibility of the super-multitude. (shrink)

This book presents a history of the volitional theory of causation—the philosophical proposal that volition, or will, of the same or broadly the same stamp as that which we experience in our own deliberate and voluntary doings, should be taken as the basis for all causality. Few today know much about the volitional theory of causation, and even fewer have given it any serious attention. But if current opinion regards this suggestion as an unusual one, of minor importance, the historical (...) record shows otherwise, revealing that it is a theory which has been proposed and developed again and again throughout the modern era. Its obscurity is only a recent phenomenon. Starting at the beginning of the Early Modern period and progressing right up modern times, the historical discussion takes in both supporters and critics, as well as both famous and less well-known figures, to tell the story of a long-running debate which contemporary history of philosophy has forgotten. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Ecological Ethics: An IntroductionDavid Keller (bio)Patrick Curry, Ecological Ethics: An Introduction. Malden, Massachusetts: Polity Press, 2007, 173pages.Were I in Bath having drinks with Patrick Curry, we would have much to agree about. Explaining his choice of title of his book, Ecological Ethics, he rightly points out that the more common descriptor "environmental ethics" presupposes a dualism between human beings and the nonhuman environment—an assumption which is itself anthropocentric (...) (p. 4). For philosophers interested in studying the human/ nonhuman dynamic, the legitimacy of anthropocentrism is itself an open question. Because the word 'ecology' treats humans, as biota, as integral parts of ecological systems, the phrase "ecological ethics" is less presumptuous and hence more accurate. The word 'ecological' also has the benefit of conveying the message that the subject is notgoing to involve extending moral considerability from humans out into the "environment." Instead, ecological systems as the locus of value provide the starting point for the elaboration of ethics (p. 2). For Curry, as for Leopold (1960) and Callicott (1989), "ecological community" is coextensive with the ethical community.To correlate the ethical community with the biotic community within the rubric of "ecological ethics" is nothing novel. Curry's claim that "there is something ancient about an ecological ethic" (p. 7) got me thinking: [End Page 153]prior to Abrahamic monotheism and Greek rationalism, ancient peoples, particularly nomadic hunter-gatherers, probably considered themselves as integral parts of what encompassed them, moving with herds, in concert with meteorological and seasonal changes, seeing themselves as one amongst other living beings. They probably did not see themselves apart from the "environment" as we have learned to do. Then with the advent of agriculture, linear furrows and controlled inundations must have fostered an addictive sense of security from flood and famine. Later, the innovations of industrial civilization further distanced us from the caprice of nature's wild vicissitudes. Yet that comfort comes at the expense of lost awareness of our responsibilities as bioticcitizens. Therefore, Curry says, following Sylvan (1973), we need a new ecological ethic since traditional Western morality "is no longer up to the job" (ibid.).Curry remarks that ethics, cast in this light, is not something "optional," something to be addressed after one's belly is full, debts settled, and lodging secured. Rather, ethics cuts directly to the core of human action, of all human activity (p. 5)—a claim reminiscent of Socrates' exhortation to Thrasymachus that it is no small matter that they are discussing, nothing of less importance than the right way to live one's life (Plato 2005, p. 603).Over the first sips of ale, I would praise him for giving his book a simple and straightforward structure that makes a challenging subject accessible, especially to students. After laying down the groundwork of basic concepts in moral philosophy (chapter 3)—objectivism versus relativism, the problem of the is/ought gap, religious morality and environmental philosophy (domination, stewardship, and managerialism), and virtue and rule-based ethics (chapter 4)—Curry addresses axiology (chapter 5). Are humans the sole locus of value (anthropocentrism), or are there other entities worthy of some sort of moral consideration who themselves do not carry the burden of moral responsibility (zoocentrism, biocentrism, ecocentrism)? Curry answers the latter in the affirmative, arguing that ontological interconnectedness of humans with other living beings within ecological systems discloses that something greater than humanity is the locus of value (p. 46).The most useful part of the book for my students out in Utah would be the middle chapters (6–8) in which Curry casts degrees of nonanthropocentrism [End Page 154]in shades of green. These shades range from light green or "shallow" anthropocentric ethics such Bookchin's Social Ecology (p. 50), Hardin's Lifeboat Ethics (pp. 52–54), and mainstream environmentalism (p. 51), through medium green ethics based on the extension of traditional human-oriented moral philosophy to nonhumans such as Singer's Animal Liberation (pp. 56–59), Regan's Animal Rights (pp. 59–60), and Taylor's Biocentrism (pp. 60–62). Curry proceeds to the dark green ethics of ecocentrism, such as Land Ethics (pp. 65–68), the Gaia Hypothesis (pp. 68–71... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Ecological Ethics: An IntroductionDavid Keller (bio)Patrick Curry, Ecological Ethics: An Introduction. Malden, Massachusetts: Polity Press, 2007, 173pages.Were I in Bath having drinks with Patrick Curry, we would have much to agree about. Explaining his choice of title of his book, Ecological Ethics, he rightly points out that the more common descriptor "environmental ethics" presupposes a dualism between human beings and the nonhuman environment—an assumption which is itself anthropocentric (...) (p. 4). For philosophers interested in studying the human/ nonhuman dynamic, the legitimacy of anthropocentrism is itself an open question. Because the word 'ecology' treats humans, as biota, as integral parts of ecological systems, the phrase "ecological ethics" is less presumptuous and hence more accurate. The word 'ecological' also has the benefit of conveying the message that the subject is notgoing to involve extending moral considerability from humans out into the "environment." Instead, ecological systems as the locus of value provide the starting point for the elaboration of ethics (p. 2). For Curry, as for Leopold (1960) and Callicott (1989), "ecological community" is coextensive with the ethical community.To correlate the ethical community with the biotic community within the rubric of "ecological ethics" is nothing novel. Curry's claim that "there is something ancient about an ecological ethic" (p. 7) got me thinking: [End Page 153]prior to Abrahamic monotheism and Greek rationalism, ancient peoples, particularly nomadic hunter-gatherers, probably considered themselves as integral parts of what encompassed them, moving with herds, in concert with meteorological and seasonal changes, seeing themselves as one amongst other living beings. They probably did not see themselves apart from the "environment" as we have learned to do. Then with the advent of agriculture, linear furrows and controlled inundations must have fostered an addictive sense of security from flood and famine. Later, the innovations of industrial civilization further distanced us from the caprice of nature's wild vicissitudes. Yet that comfort comes at the expense of lost awareness of our responsibilities as bioticcitizens. Therefore, Curry says, following Sylvan (1973), we need a new ecological ethic since traditional Western morality "is no longer up to the job" (ibid.).Curry remarks that ethics, cast in this light, is not something "optional," something to be addressed after one's belly is full, debts settled, and lodging secured. Rather, ethics cuts directly to the core of human action, of all human activity (p. 5)—a claim reminiscent of Socrates' exhortation to Thrasymachus that it is no small matter that they are discussing, nothing of less importance than the right way to live one's life (Plato 2005, p. 603).Over the first sips of ale, I would praise him for giving his book a simple and straightforward structure that makes a challenging subject accessible, especially to students. After laying down the groundwork of basic concepts in moral philosophy (chapter 3)—objectivism versus relativism, the problem of the is/ought gap, religious morality and environmental philosophy (domination, stewardship, and managerialism), and virtue and rule-based ethics (chapter 4)—Curry addresses axiology (chapter 5). Are humans the sole locus of value (anthropocentrism), or are there other entities worthy of some sort of moral consideration who themselves do not carry the burden of moral responsibility (zoocentrism, biocentrism, ecocentrism)? Curry answers the latter in the affirmative, arguing that ontological interconnectedness of humans with other living beings within ecological systems discloses that something greater than humanity is the locus of value (p. 46).The most useful part of the book for my students out in Utah would be the middle chapters (6–8) in which Curry casts degrees of nonanthropocentrism [End Page 154]in shades of green. These shades range from light green or "shallow" anthropocentric ethics such Bookchin's Social Ecology (p. 50), Hardin's Lifeboat Ethics (pp. 52–54), and mainstream environmentalism (p. 51), through medium green ethics based on the extension of traditional human-oriented moral philosophy to nonhumans such as Singer's Animal Liberation (pp. 56–59), Regan's Animal Rights (pp. 59–60), and Taylor's Biocentrism (pp. 60–62). Curry proceeds to the dark green ethics of ecocentrism, such as Land Ethics (pp. 65–68), the Gaia Hypothesis (pp. 68–71... (shrink)

The interpretation of Isaac Newton's texts has sparked controversy to this day. One of the most heated debates relates to the action between two bodies distant from each other (the gravitational attraction), and to what extent Newton involved God in this case. Practically, most of the papers discuss four types of gravitational attractions in the case of remote bodies: direct distance action as intrinsic property of bodies in epicurean sense; direct remote action divinely mediated by God; remote action mediated by (...) a material ether; or remote action mediated by an immaterial ether. The purpose of this paper is to argue that Newton categorically rejected the types of direct action as the intrinsic property of bodies, and remote action mediated by a material ether. Concerning the other two types of action, direct through divine intervention and mediated through an immaterial environment, Newton has repeatedly stated that he does not know the exact cause of gravity, but in both cases, he has directly involved God, directly in the first case and as the primary cause (the environment/ether being the secondary cause) in immaterial mediated action. But since recognition of direct distance action could have given some credit to those who thought gravity could be essential to matter, and hence to atheism, Newton never openly acknowledged the possibility of such an idea. -/- Keywords: Isaac Newton, action at a distance, God, gravity, gravity law, gravitation -/- CONTENTS -/- Abstract Introduction Principia Correspondence with Richard Bentley Queries in Opticks Conclusions Bibliography -/- ISBN 978-606-033-201-5, DOI: 10.58679/TW14959. (shrink)

Guthrie contends that religion can best be understood as systematic anthropomorphism - the attribution of human characteristics to nonhuman things and events. Religion, he says, consists of seeing the world as human like. He offers a fascinating array of examples to show how this strategy pervades secular life and how it characterizes religious experience.

In the past, experts have disagreed about whether Samuel Clarke accepted the idea that gravity is a power superadded to matter by God. Most scholars now agree that Clarke did not support superaddition. But the argumentation employed by Clarke to reject superaddition has not been studied before in detail. In this paper, I explicate Clarke's argumentation by relating it to an important discussion about the possibility of superadded gravity in the Clarke-Collins correspondence. I examine Clarke's responses to Collins and draw (...) on his other works to reconstruct Clarke's reasons for rejecting superadded gravity. (shrink)

Kant’s Critique of Pure Reason contains an original and powerful semantics of singular cognitive reference which has important implications for epistemology and for philosophy of science. Here I argue that Kant’s semantics directly and strongly supports Newton’s Rule 4 of Philosophy in ways which support Newton’s realism about gravitational force. I begin with Newton’s Rule 4 of Philosophy and its role in Newton’s justification of realism about gravitational force (§2). Next I briefly summarize Kant’s semantics of singular cognitive reference (§3), (...) and then show that it is embedded in and strongly supports Newton’s Rule 4, and that it rules out not only Cartesian physics (per Harper) but also Cartesian, infallibilist presumptions about empirical justification generally (§4). This result exposes a key fallacy in Bas van Fraassen’s original argument for his anti-realist Constructive Empiricism (§5). (shrink)

Dans laScience de la logiqueet dans l’Encyclopédie des sciences philosophiques,Hegel reconstruit la philosophie critique de Kant en développant i) une logique transcendantale dans laScience de la logiqueet dans laPhilosophie de la nature; ii) une conception pragmatique de l’a priori; et iii) une caractéristique-clé de l’usage du verbe «réaliser» en relation avec les concepts et les principes. Chacun de ces trois éléments constitue un aspect central de la sémantique spécifiquement cognitive de Hegel, que celui-ci développe, en partant de la thèse kantienne (...) de la référence cognitive singulière, en un réalisme pragmatique systématique. (shrink)

Peirce's study of Kant, and later of Hegel, and Dewey's (1930) retention of much of Hegel's social philosophy are recognised idealist sources of pragmatism. Here I argue that the transition from idealism to pragmatic realism was already achieved by Hegel. Hegel's ‘Objective Logic’ corresponds in part to Kant's ‘Transcendental Logic’ (WdL,GW21:47.1-3). Hegel faults Kant for relegating concepts of reflection to an Appendix to his Transcendental Logic (WdL,GW12:19.34-38), and for treating reason as ‘only dialectical’ and as ‘merely regulative’ (WdL,GW12:23.12,.16-17). I present (...) three important yet neglected features of Kant'sCritique of Pure Reasonwhich are key enthymemes undergirding Hegel's critical reconstruction of Kant's Critical philosophy (§2). I then summarise some features of the philosophical context within which Hegel begins to re-assess and reconstruct Kant's Transcendental Logic (§3), and review several key steps in this direction Hegel undertook in the 1807Phenomenology(§4). (A related paper extends these results to Hegel'sLogicandEncyclopaedia.) These points show that Hegel's reanalysis of Kant's Critical philosophy is the first and still one of the most sophisticated and adequate pragmatic — specifically pragmatic realist — accounts of thea priori. (shrink)

I argue that the best interpretation of the general theory of relativity has need of a causal entity, and causal structure that is not reducible to light cone structure. I suggest that this causal interpretation of GTR helps defeat a key premise in one of the most popular arguments for causal reductionism, viz., the argument from physics.

I show how Sir William Rowan Hamilton’s philosophical commitments led him to a causal interpretation of classical mechanics. I argue that Hamilton’s metaphysics of causation was injected into his dynamics by way of a causal interpretation of force. I then detail how forces are indispensable to both Hamilton’s formulation of classical mechanics and what we now call Hamiltonian mechanics (i.e., the modern formulation). On this point, my efforts primarily consist of showing that the contemporary orthodox interpretation of potential energy is (...) the interpretation found in Hamilton’s work. Hamilton called the potential energy function the “force-function” because he believed that it represents forces at work in the world. Various non-historical arguments for this orthodox interpretation of potential energy are provided, and matters are concluded by showing that in classical Hamiltonian mechanics, facts about the potential energies of systems are grounded in facts about forces. Thus, if one can tolerate the view that forces are causes of motion, then Hamilton provides one with a road map for transporting causation into one of the most mathematically sophisticated formulations of classical mechanics, viz., Hamiltonian mechanics. (shrink)

Jean Fernel and William Harvey were leading medical practitioners of their respective generations, but they also worked in natural philosophy, and, in particular, were well known for their works on...

Newton’s earliest publications contained scandalous epistemological claims: not only did he aim for certainty; he also claimed success. Some commentators argue that Newton ultimately gave up claims of certainty in favor of a high degree of probability. I argue that no such shift occurred. I examine the evidence of a probabilistic shift: a passage from query 23/31 of the Opticks and rule 4 of the Principia. Neither passage supports a probabilistic approach to natural philosophy. The aim of certainty, then, was (...) an enduring feature of Newton’s methodology. (shrink)

In this article I am going to reconstruct Stephen Toulmin’s procedural theory of concepts and explanations in order to develop two overlooked ideas from his philosophy of science: methods of representations and inferential techniques. I argue that these notions, when properly articulated, could be useful for shedding some light on how scientific reasoning is related to representational structures, concepts, and explanation within scientific practices. I will explore and illustrate these ideas by studying the development of the notion of instantaneous speed (...) during the passage from Galileo’s geometrical physics to analytical mechanics. At the end, I will argue that methods of representations could be considered as constitutive of scientific inference; and I will show how these notions could connect with other similar ideas from contemporary philosophy of science like those of models and model-based reasoning. (shrink)

Bayesianism and likelihoodism are two of the most important frameworks philosophers of science use to analyse scientific methodology. However, both frameworks face a serious objection: much scientific inquiry takes place in highly idealized frameworks where all the hypotheses are known to be false. Yet, both Bayesianism and likelihoodism seem to be based on the assumption that the goal of scientific inquiry is always truth rather than closeness to the truth. Here, I argue in favour of a verisimilitude framework for inductive (...) inference. In the verisimilitude framework, scientific inquiry is conceived of, in part, as a process where inference methods ought to be calibrated to appropriate measures of closeness to the truth. To illustrate the verisimilitude framework, I offer a reconstruction of parsimony evaluations of scientific theories, and I give a reconstruction and extended analysis of the use of parsimony inference in phylogenetics. By recasting phylogenetic inference in the verisimilitude framework, it becomes possible to both raise and address objections to phylogenetic methods that rely on parsimony. 1Introduction2Problems with the Law of Likelihood3Introducing Verisimilitude-Based Inference4Examples of Verisimilitude-Based Inference Procedures4.1Parsimony inference over theories4.2Parsimony inference in phylogenetics5Conclusion. (shrink)

The dark matter problem in astrophysics exposes an underappreciated weakness in the evidential warrant for General Relativity (GR). The "dark matter double bind" entails that GR gets no differential evidential support from dynamical phenomena occurring at scales larger than our solar system, as compared to members of a significant class of rival gravitation theories. These rivals are each empirically indistinguishable from GR for phenomena taking place at solar system scales, but make predictions that may differ radically from GR's at larger (...) scales. Thus the typical confidence in the universal applicability of GR is insufficiently warranted in the present evidential context. (shrink)

Kant is well known for his restrictive conception of proper science. In the present paper I will try to explain why Kant adopted this conception. I will identify three core conditions which Kant thinks a proper science must satisfy: systematicity, objective grounding, and apodictic certainty. These conditions conform to conditions codified in the Classical Model of Science. Kant’s infamous claim that any proper natural science must be mathematical should be understood on the basis of these conditions. In order to substantiate (...) this reading, I will show that only in this way it can be explained why Kant thought (1) that mathematics has a particular foundational function with respect to the natural sciences and (2) as such secures their scientific status. (shrink)

In this paper, we analyse conceptions of induction and certainty in Wolff and Crusius, highlighting their competing conceptions of physics. We discuss (i) the perspective of Wolff, who assigned induction an important role in physics, but argued that physics should be an axiomatic science containing certain statements, and (ii) the perspective of Crusius, who adopted parts of the ideal of axiomatic physics but criticized the scope of Wolff’s ideal of certain science. Against interpretations that take Wolff’s proofs in physics to (...) be based on empirical statements that are probable, we show how inductively established statements, coupled with assumptions concerning the uniformity of nature, can be certain according to Wolff. We examine Crusius’ little known work on physics and show that he attacked Wolff, arguing that many statements of physics are probable. We provide a discussion of the reception of methodological rules similar to Newton’s Regulae Philosophandi, discussing different interpretations of such rules. We conclude by briefly hinting at how the debate between Wolff and Crusius provides historical context for understanding Kant’s philosophy of natural science. (shrink)

This essay investigates the transformation of the faculty of understanding in Kant’s Transition from Metaphysical Foundations of Natural Science to Physics drafts found in Opus postumum. I argue that in fascicles X and XI Kant implicitly reverses the architectonic order of sensibility and understanding. Without an account of this reversal, Kant’s critique of Isaac Newton’s conception of phenomena and the so called Selbstsetzungslehre in fascicle VII fall apart. I argue that what is at stake is a challenge Kant makes to (...) his own presuppositions and a challenge to the Kantian philosopher who wishes to stay with a strictly ‘critical’ Kant. (shrink)

What is time? Just like everything else in the world, our understanding of time has changed continually over time. This article tracks this question through the history of Western philosophy and looks at major answers from the likes of Aristotle, Kant, and McTaggart.

In 1765, Joseph Priestley created what may be the world's first modern timeline, A Chart of Biography. This paper offers the first study of the philosophy underlying Priestley's timeline. It argues that Priestley was pushed towards representing times as lines by his views on abstract ideas and time, and there is no reason to believe that Newtonian absolutism grounds his uniform depiction of time. Further, the Chart confirms, and even advances, Priestley's views on human progress. Finally, this study shows that (...) Priestley's conception of time as a line comprises a landmark contribution to the history of space-time parallelism. (shrink)

Yves Simonin, a rather obscure professor of hydrography in Bayonne, submitted five scientific papers to the Paris Academy of Sciences between 1738 and 1740, which only survive in the original manuscript versions. The topics Simonin deals with in these texts are essentially three: the rectification of navigation charts of the Southern Sea, the shape of the Earth, and the heliocentric theory. Far from acknowledging Simonin's contribution to the ongoing academic debate as a valuable one, the institution systematically rejected his work. (...) In this paper, I first provide a critical analysis of Simonin's manuscripts. As I argue, their originality lies in the adoption of the perspective of a practitioner of and expert in navigational techniques. I then investigate the reasons behind the Academy's negative reception of Simonin's papers, casting light on the expertise required to participate in academic debates in the mid-18th century, and on the limits set by the institution to the possibility of external intervention. (shrink)

We study a long-recognised but under-appreciated symmetry called dynamical similarity and illustrate its relevance to many important conceptual problems in fundamental physics. Dynamical similarities are general transformations of a system where the unit of Hamilton’s principal function is rescaled, and therefore represent a kind of dynamical scaling symmetry with formal properties that differ from many standard symmetries. To study this symmetry, we develop a general framework for symmetries that distinguishes the observable and surplus structures of a theory by using the (...) minimal freely specifiable initial data for the theory that is necessary to achieve empirical adequacy. This framework is then applied to well-studied examples including Galilean invariance and the symmetries of the Kepler problem. We find that our framework gives a precise dynamical criterion for identifying the observables of those systems, and that those observables agree with epistemic expectations. We then apply our framework to dynamical similarity. First we give a general definition of dynamical similarity. Then we show, with the help of some previous results, how the dynamics of our observables leads to singularity resolution and the emergence of an arrow of time in cosmology. (shrink)

This article centers on Hume’s position on the intelligibility of natural philosophy. To that end, the controversy surrounding universal gravitation shall be scrutinized. It is very well-known that Hume sides with the Newtonian experimentalist approach rather than with the Leibnizian demand for intelligibility. However, what is not clear is Hume’s overall position on the intelligibility of natural philosophy. It shall be argued that Hume declines Leibniz’s principle of intelligibility. However, Hume does not eschew intelligibility altogether; his concept of causation itself (...) stipulates mechanical intelligibility. (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)

Eternalism is the view that all times are equally real. The relativity of simultaneity in special relativity backs this up. There is no cosmically extended, self-existing ‘now.’ This leads to a tricky problem. What makes statements about the present true? I shall approach the problem along the lines of perspectival realism and argue that the choice of the perspective does. To corroborate this point, the Lorentz transformations of special relativity are compared to the structurally similar equations of the Doppler effect. (...) The ‘now’ is perspectivally real in the same way as a particular electromagnetic spectrum frequency. I also argue that the ontology of time licensed by perspectival realism is more credible in this context than its current alternative, the fragmentalist interpretation of special relativity. (shrink)

Although the ideas in Process and Reality are well-recognized by many scientists in various disciplines beyond philosophy, these investigations are focused on the formal interpretation of the notion of space in the context of mereotopology. Indeed, the notion of time is either neglected completely or understood as an abstraction from the four-dimensional existence of enduring objects. However, there is no elucidation of the notion of time beyond this existence. We introduce a monadic second order language to formalize the ultimate principles (...) presupposed to Whitehead’s investigation, i.e., creativity, novelty and advance have been analyzed and reformulated as axioms. The models of the formulated theory are linear process structures, which are a special type of occurrence structures. The model-theoretic aspects of their theory are discussed in the present paper. Our fundamental theorem indicates that the worlds, which ground the knowledge of actual occasions, are ordered linearly and are equal for contemporaneous actual occasions, which implies a condition essential to the being of time. (shrink)

Many historical and philosophical studies treat infinity as an exclusively quantitative notion, whose proper domain of application is mathematics and physics. The main aim of this paper is to disentangle, by critically examining, three notions of infinity in the early modern period, and to argue that one—but only one—of them is quantitative. One of these non-quantitative notions concerns being or reality, while the other concerns a particular iterative property of an aggregate. These three notions will emerge through examination of three (...) central figures in the period: Locke, Descartes, and Leibniz. (shrink)

This study explores several arguments against Spinoza's philosophy that were developed by Henry More, Samuel Clarke, and Colin Maclaurin. In the arguments on which I focus, More, Clarke, and Maclaurin aim to establish the existence of an immaterial and intelligent God precisely by showing that Spinoza does not have the resources to adequately explain the origin of motion. Attending to these criticisms grants us a deeper appreciation for how the authority derived from the empirical success of Newton's enterprise was used (...) to settle debates within philosophy. What I emphasize is that in the progression from More to Clarke to Maclaurin, key Newtonian concepts from the Principia (1687), such as motion, atomism, and the vacuum, are introduced and exploited in order to challenge the account of matter and motion that is presented in Spinoza's Ethics (1677). Building on this treatment, I use the arguments from More and Clarke especially to help discern the anti-Spinozism that can be detected in Newton's General Scholium (1713). Ultimately, the Newtonian criticisms that I detail offer us a more nuanced view of the problems that plague Spinoza's philosophy, and they also challenge the idea that Spinoza seamlessly fits into a progressive narrative about the scientific revolution. (shrink)

I examine two claims that arise in Brown’s account of inertial motion. Brown claims there is something objectionable about the way in which the motions of free particles in Newtonian theory and special relativity are coordinated. Brown also claims that since a geodesic principle can be derived in Einsteinian gravitation, the objectionable feature is explained away. I argue that there is nothing objectionable about inertia and that while the theorems that motivate Brown’s second claim can be said to figure in (...) a deductive-nomological explanation, their main contribution lies in their explication rather than their explanation of inertial motion. (shrink)

The predominant contemporary concept of time is arguably measurable time, promoted as being in accordance with science. This is commonly understood as the time of physics, as, for instance, E. A. Milne claims in an article from 1950 on the modern conception of time, contrasting this with Plato's description of time as the “moving image of eternity”. The prevalence of an emphasis on measurability within such a conception of time is hard to avoid, although this can be nuanced somewhat. In (...) this article I turn to the ancient Greek notion of kairos in order to find another approach to the question of conceptions of temporality. A main objective is to indicate what this concept signifies in terms of adjusting to circumstances, catching the right moment and paying attention to due measure. I also briefly consider Baltasar Gracián's notions of festina lente and détencion in an attempt to show how this suggests a way in which we may be able to develop the ability to do the right thing at the right moment. (shrink)

I elaborate and defend an interpretation of Leibniz on which he is committed to a stronger space-time structure than so-called Leibnizian space-time, with absolute speeds grounded in his concept of force rather than in substantival space and time. I argue that this interpretation is well-motivated by Leibniz's mature writings, that it renders his views on space, time, motion, and force consistent with his metaphysics, and that it makes better sense of his replies to Clarke than does the standard interpretation. Further, (...) it illuminates the way in which Leibniz took his physics to be grounded in his metaphysics. (shrink)

Kantian philosophy of space, time and gravity is significantly affected in three ways by particle physics. First, particle physics deflects Schlick’s General Relativity-based critique of synthetic a priori knowledge. Schlick argued that since geometry was not synthetic a priori, nothing was—a key step toward logical empiricism. Particle physics suggests a Kant-friendlier theory of space-time and gravity presumably approximating General Relativity arbitrarily well, massive spin-2 gravity, while retaining a flat space-time geometry that is indirectly observable at large distances. The theory’s roots (...) include Seeliger and Neumann in the 1890s and Einstein in 1917 as well as 1920s–1930s physics. Such theories have seen renewed scientific attention since 2000 and especially since 2010 due to breakthroughs addressing early 1970s technical difficulties. Second, particle physics casts additional doubt on Friedman’s constitutive a priori role for the principle of equivalence. Massive spin-2 gravity presumably should have nearly the same empirical content as General Relativity while differing radically on foundational issues. Empirical content even in General Relativity resides in partial differential equations, not in an additional principle identifying gravity and inertia. Third, Kant’s apparent claim that Newton’s results could be known a priori is undermined by an alternate gravitational equation. The modified theory has a smaller symmetry group than does Newton’s. What Kant wanted from Newton’s gravity is impossible due its large symmetry group, but is closer to achievable given the alternative theory. (shrink)

Misconceptions about energy conservation abound due to the gap between physics and secondary school chemistry. This paper surveys this difference and its relevance to the 1690s–2010s Leibnizian argument that mind-body interaction is impossible due to conservation laws. Justifications for energy conservation are partly empirical, such as Joule’s paddle wheel experiment, and partly theoretical, such as Lagrange’s statement in 1811 that energy is conserved if the potential energy does not depend on time. In 1918 Noether generalized results like Lagrange’s and proved (...) a converse: symmetries imply conservation laws and vice versa. Conservation holds if and only if nature is uniform. The rise of field physics during the 1860s–1920s implied that energy is located in particular places and conservation is primordially local: energy cannot disappear in Cambridge and reappear in Lincoln instantaneously or later; neither can it simply disappear in Cambridge or simply appear in Lincoln. A global conservation law can be inferred in some circumstances. Einstein’s General Relativity, which stimulated Noether’s work, is another source of difficulty for conservation laws. As is too rarely realized, the theory admits conserved quantities due to symmetries of the Lagrangian, like other theories. Indeed General Relativity has more symmetries and hence more conserved energies. An argument akin to Leibniz’s finally gets some force. While the mathematics is too advanced for secondary school, the ideas that conservation is tied to uniformities of nature and that energy is in particular places, are accessible. Improved science teaching would serve the truth and enhance the social credibility of science. (shrink)

The aim of this paper is twofold: (1) to show the principal aspects of the way in which Newton conceived his mathematical concepts and methods and applied them to rational mechanics in his Principia; (2) to explain how the editors of the Geneva Edition interpreted, clarified, and made accessible to a broader public Newton’s perfect but often elliptic proofs. Following this line of inquiry, we will explain the successes of Newton’s mechanics, but also the problematic aspects of his perfect geometrical (...) methods, more elegant, but less malleable than analytical procedures, of which Newton himself was one of the inventors. Furthermore, we will also consider the way in which Newtonianism was spread before in England and afterwards on continental Europe. In this respect the Geneva Edition plays a fundamental role because of its complete apparatus of notes, and because it appeared only thirteen years after the publication of the third edition of the Principia (1726). Finally, we will also confront some problems connected to the metaphysics of calculus. Therefore, the case of Newton is one of those in which, starting from mathematics applied to physics, it is possible to connect an impressive series of fundamental arguments such as the role of mathematics in science; the comparison between Newton’s geometrical methods and analytical methods; the way in which Newtonianism was spread as well as the philosophical implications of Newton’s mathematical concepts. (shrink)

Philosophical Explorations, Volume 17, Issue 2, Page 172-187, June 2014.

The Akaike Information Criterion can be a valuable tool of scientific inference. This statistic, or any other statistical method for that matter, cannot, however, be the whole of scientific methodology. In this paper some of the limitations of Akaikean statistical methods are discussed. It is argued that the full import of empirical evidence is realized only by adopting a richer ideal of empirical success than predictive accuracy, and that the ability of a theory to turn phenomena into accurate, agreeing measurements (...) of causally relevant parameters contributes to the evidential support of the theory. This is illustrated by Newton's argument from orbital phenomena to the inverse-square law of gravitation. (shrink)

A Bayesian account of the virtue of unification is given. On this account, the ability of a theory to unify disparate phenomena consists in the ability of the theory to render such phenomena informationally relevant to each other. It is shown that such ability contributes to the evidential support of the theory, and hence that preference for theories that unify the phenomena need not, on a Bayesian account, be built into the prior probabilities of theories.

The history of the Parallelogram Rule for composing physical quantities, such as motions and forces, is marked by conceptual difficulties leading to false starts and halting progress. In particular, authors resisted the required assumption that the magnitude and the direction of a quantity can interact and are jointly necessary to represent the quantity. Consequently, the origins of the Rule cannot be traced to Pseudo-Aristotle or Stevin, as commonly held, but to Fermat, Hobbes, and subsequent developments in the latter part of (...) the seventeenth century. (shrink)

Newton’s argument for universal gravitation in the Principia eventually rested on the third “Rule of Philosophizing,” which warrants the generalization of “qualities of bodies.” An analysis of the rule and the history of its development indicate that the term ‘quality’ should be taken to include both inherent properties of bodies and relations among systems of bodies, generalized into `laws'. By incorporating law‐induction into the rule, Newton could legitimately rebuff objections to his theory by claiming that universal gravitation was justified by (...) his method even if he could not specify the cause of gravity . †To contact the author, please write to: Department of Philosophy, Duke University, 201 West Duke Building, Box 90743, Durham, NC 27708; e‐mail: [email protected]. (shrink)