The paper investigates measures of explanatory power and how to define the inference schema “Inference to the Best Explanation”. It argues that these measures can also be used to quantify the systematic power of a hypothesis and the inference schema “Inference to the Best Systematization” is defined. It demonstrates that systematic power is a fruitful criterion for theory choice and IBS is truth-conducive. It also shows that even radical Bayesians must admit that systemic power is an integral component of Bayesian (...) reasoning. Finally, the paper puts the achieved results in perspective with van Fraassen’s famous criticism of IBE. (shrink)

During the course of the eighteenth century important changes occurred in the conception of matter held by British natural philosophers. Historians of science have described these changes in different ways, but certain common features can be abstracted from the more recent accounts. First, there was a movement away from Newtonian matter theory, which saw all matter as the various organizations of homogeneous particles and the forces of attraction and repulsion acting between them. In place of this theory increasing favour was (...) shown towards a more empirical or ‘chemical’ approach to matter which assumed the existence of several essentially distinct types of matter each endowed with different specific qualities or properties. Second, there was an increasing tendency to accept activity as a property of matter itself rather than to ascribe it to immaterial forces. (shrink)

Locke is often interpreted as having attempted to build a foundation for knowledge based on ideas. However, textual evidence shows that the corpuscular philosophy is also a fundamental part of that foundation. Somewhat anachronistically, but also very usefully, Locke can be described as inferring corpuscularianism by an inference to the best explanation. Locke felt justified in believing that the corpuscular philosophy was the correct description of the world because it provided us with a better explanation of a wider variety of (...) phenomena than competing hypotheses.Keywords: John Locke; Robert Boyle; Induction; Inference to the best explanation; Corpuscular philosophy. (shrink)

The epistemological rupture of Copernicus, the laws of planetary motions of Kepler, the comprehensive physical observations of Galileo and Huygens, the conception of relativity, and the physical theory of Newton were components of an extremely fertile and influential cognitive environment that prompted the restless Leibniz to shape an innovative theory of space and time. This theory expressed some of the concerns and intuitions of the scientific community of the seventeenth century, in particular the scientific group of the Academy of Sciences (...) of Paris, but remained relatively unknown until the twentieth century. After Einstein, however, the relational theory of Leibniz gained wider respect and fame. The aim of this article is to explain how Leibniz foresaw relativity, through his critique of contemporary mechanistic philosophy. (shrink)

The article provides a compact review of the early modern science views of the nature of science, scientific method and knowledge, rationality and objectivity with respect to masculinity and femininity. Following primarily Galileo and Bacon's work, the author is interested in pointing out the most important ideas of the historically fixed ways of how people imagined the acquisition of knowledge, presented nature, understood the role of researchers, as well as what metaphors they applied in defining knowledge. Due to the vast (...) and diverse material, the aim is not to sketch a complete and detailed portrait of the ideal of modern science, but to explore to what extent gender-related issues were of any significance here. (shrink)

In his book Modal Logic as Metaphysics, Timothy Williamson defends first-order necessitism using simplicity as a powerful argument. However, simplicity is decomposed into two different, even antagonistic, sides: elegance and parsimony. On the one hand, elegance is the property of theories possessing few and simple principles that allow them to deploy all their theoretical power; on the other hand, parsimony is the property of theories having the fair and necessary number of ontological entities that allow such theories give an account (...) of themselves. Since necessitism endorses Barcan Formulae for the sake of elegance, it is committed to a vast number of contingently non-concrete objects, so one may think that it is not qualitatively parsimonious. I argue that necessitism could be viewed as an additive case in the sense that Alan Baker characterizes the adjective so quantitative parsimony should be considered when it comes to necessitism instead of qualitative parsimony. (shrink)

This chapter poses questions about the existence and character of the Scientific Revolution by deriving its initial categories of analysis and its initial understanding of the intellectual scene from the writings of the seventeenth century, and by following the evolution of these initial categories in succeeding centuries. This project fits the theme of cross cultural transmission and appropriation -- a theme of the present volume -- if one takes the notion of a culture broadly, so that, say, seventeenth and eighteenth (...) or nineteenth century European intellectual cultures are deemed sufficiently distinct that one can speak of the "transmission" of texts and ideas from the one to the other as cross cultural. I maintain that a process of transforming and assimilating seventeenth century achievements manifests itself in two distinct cultures of interpretation, one developed by historians of philosophy, the other by scientists and historians of science. The first, following actor's categories, interprets the revolution in the seventeenth century as a philosophical displacement, partly fomented by a radical change in astronomical theory; the second, retrospectively applying the post nineteenth century sense of the term "science" to seventeenth century events, finds a "scientific" revolution, or the birth of modern science. The chapter proposes interpreting the Scientific Revolution as a revolution in natural philosophy and metaphysics. (shrink)

It has been argued, most trenchantly by Nancy Cartwright, that the diversity of the concepts and regularities we actually use to describe nature and predict and explain its behavior leaves us with no reason to believe that our foundational physical theories actually "apply" outside of delicately contrived systems within the laboratory. This paper argues that, diversity of method notwithstanding, there is indeed good reason to think that the foundational laws of physics are universal in their scope.

The relations between simplicity and economy, and between simplicity and complexity, are briefly discussed, and it is suggested that an appearance of simplicity may arise out of the matching of two complexities, e.g. in the perception of a simple color. Following out this idea, it is shown that scientific activity may be regarded as a matching of theoretical complexity against the complexity of nature, which leads to an expectation of an optimum theoretical complexity for successful scientific work. Some senses of (...) "success" in this context are discussed, and the role of computing machines in helping to achieve it assessed. (shrink)

In recent years, the question of the reliability of Machine Learning (ML) methods has acquired significant importance, and the analysis of the associated uncertainties has motivated a growing amount of research. However, most of these studies have applied standard error analysis to ML models—and in particular Deep Neural Network (DNN) models—which represent a rather significant departure from standard scientific modelling. It is therefore necessary to integrate the standard error analysis with a deeper epistemological analysis of the possible differences between DNN (...) models and standard scientific modelling and the possible implications of these differences in the assessment of reliability. This article offers several contributions. First, it emphasises the ubiquitous role of model assumptions (both in ML and traditional science) against the illusion of theory-free science. Secondly, model assumptions are analysed from the point of view of their (epistemic) complexity, which is shown to be language-independent. It is argued that the high epistemic complexity of DNN models hinders the estimate of their reliability and also their prospect of long term progress. Some potential ways forward are suggested. Thirdly, this article identifies the close relation between a model’s epistemic complexity and its interpretability, as introduced in the context of responsible AI. This clarifies in which sense—and to what extent—the lack of understanding of a model (black-box problem) impacts its interpretability in a way that is independent of individual skills. It also clarifies how interpretability is a precondition for a plausible assessment of the reliability of any model, which cannot be based on statistical analysis alone. This article focuses on the comparison between traditional scientific models and DNN models. However, Random Forest (RF) and Logistic Regression (LR) models are also briefly considered. (shrink)

Philosophers ponder on how to do philosophy and how to do it well. This pondering has divided metaphilosophers’ concern about philosophical methodology into two groups that I shall label “pro-history” and “pro-intuitions”. The claim (and belief) of philosophers in the former group can be realized with this sentence by Robert Pasnau (2011): “The discipline of philosophy benefits from a serious, sustained engagement with its history.” The latter group believes that for philosophy not to slide into the realm of irrelevance, rather (...) than studying history of philosophy, it must rely on intuitions to make sense of our present ontologies. In this paper, I examine the disagreement between both parties and argue that both proponents of pro-history and pro-intuitions are wrongheaded. I argue for what I call proto-history. Proto-history here refers to the method of doing philosophy in which the intuitions of philosophers are informed by the history of philosophy (though not directly influencing, but indirectly informing). I shall refer to this informing-ness as “autonomous impression.” By autonomous impression, I mean the process of forming beliefs based on intuitions and by taking into account one’s knowledge about other people’s (i.e., past philosophers’) beliefs and opinions. (shrink)

The obvious metaphysical differences between Newton and Leibniz concerning space, time, and motion reflect less obvious differences concerning the relation between geometry and physics, expressed in the questions: what are the invariant quantities of classical mechanics, and what sort of geometrical frame of reference is required to represent those quantities? Leibniz thought that the fundamental physical quantity was “living force” (mv2), of which every body was supposed to have a definite amount; this notion violates the classical principle of relativity, since (...) it makes a physical distinction between uniform velocity and absolute rest. But Leibniz did not try to represent this physical quantity in a spatio-temporal reference frame, assuming, instead, that all such frames are equivalent so long as they agree on the relative motions (changes in the mutual Euclidean distances) among bodies. (shrink)

ABOUT WEAK AND STRONG EMPIRICAL NECCESSITY. CATEGORICAL, DISPOSITIONAL PROPERTIES AND LAWS OF NATURE Pohľady na empirickú nevyhnutnosť možno rozdeliť do dvoch skupín: teórie slabej nevyhnutnosti a teórie silnej nevyhnutnosti. Do prvej teórie patria koncepcie, ktoré uvažujú svet zložený z pasívnych vlastností, akými sú kategorické vlastnosti. Za zmeny vo svete sú zodpovedné zákony prírody, ktoré sa od možného sveta k svetu líšia, a preto aj prejavy týchto vlastností sú odlišné. Druhú teóriu, teóriu silnej nevyhnutnosti, zastávajú filozofi, ktorí predpokladajú existenciu silovo aktívnych (...) vlastností, dispozícií. Práve tieto sú zodpovedné za zmeny vo svete, a vo všetkých možných svetoch sa prejavujú nevyhnutne rovnako. Autor argumentuje v prospech existencie dispozičných vlastností a tvrdí, že dispozičný výklad sveta netrpí modálnymi absurdnosťami, ktorými trpia teórie slabej nevyhnutnosti. Hoci aj dispozičné teórie majú svoje problémy a hlavne mysterióznosti, ktoré môžu viesť až do metafyziky dispozičných monád. Kľúčové slová: dispozičné vlastnosti, kategorické vlastnosti, modality, nevyhnutnosť, zákony prírody. (shrink)

From 1754 to 1756 Kant wrote on such central, related topics as the axial rotation of the Earth, the theory of heat, and the composition of matter, focusing on space, force, and motion. It has been noted that each of these topics pertains to his 1755 Universal Natural History and Theory of the Heavens, in which he drew on extant cosmogonies and the analogical form of Newtonianism developed by naturalists including Buffon, Haller, and Thomas Wright. How does Kant build on (...) these various sources? This article aims to provide a nuanced account of specific features of the relation between natural history and natural philosophy in Kant’s early developmental theory of the universe and to illuminate the strategy that guides his innovative, selective appropriation of contemporaneous insights. -/- . (shrink)

Occam’s razor is frequently considered to be a cornerstone of the scientific method. Indeed, it was and remains a valuable tool for scientific and philosophical inquiry. However, we provided an overview of some historical instances in which it led science away from a reasonable and sound heuristic approach. Some words of caution are necessary to clarify how, contrary to common belief, a too strict adherence to such a principle did not guarantee scientific rigor but, rather, obstructed further progress.

This paper revisits the bearing of underdetermination arguments on scientific realism. First it argues that underdetermination considerations provide good reason to doubt that science is objective in the strong sense that anyone following the its methods will be led closer and closer to the truth about any given question within the purview of those methods, as more relevant data are considered. Then it argues that scientific realism is difficult to maintain in the absence of this sort of objectivity.

In French mechanical treatises of the nineteenth century, Newton’s second law of motion was frequently derived from a relativity principle. The origin of this trend is found in ingenious arguments by Huygens and Laplace, with intermediate contributions by Euler and d’Alembert. The derivations initially relied on Galilean relativity and impulsive forces. After Bélanger’s Cours de mécanique of 1847, they employed continuous forces and a stronger relativity with respect to any commonly impressed motion. The name “principle of relative motions” and the (...) very idea of using this principle as a constructive tool were born in this context. The consequences of Poincaré’s and Einstein’s awareness of this approach are analyzed. Lastly, the legitimacy and significance of a relativity-based derivation of Newton’s second law are briefly discussed in a more philosophical vein. (shrink)

Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It (...) discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes. (shrink)

An attempt to revise the special relativity genesis at the expense of comprehending all Einstein’s 1905 papers as a whole is provided. It is argued that light quanta hypothesis and special relativity turn out to be mere stages of implementation of the programme of maxwellian electrodynamics, statistical mechanics and thermodynamics reconciliation. The conception of luminiferous ether was an insurmountable stumbling block for Einstein’s statistical thermodynamics programme in which the leading role was played by the light quanta paper . Einstein’s 1905 (...) unificationist modus operandi was close to Mach’s principle of economy of thought in ingenious conjunction with bashful inclinations of Kantian epistemology. Keywords: intertheoretic context, special relativity, light quanta , Unity of Nature, Mach, Kant. (shrink)

I review and challenge the views on simplicity and its role in linguistics put forward by Ludlow. In particular, I criticize the claim that simplicity—in the sense pertinent to science—is nothing more than ease of use or “user-friendliness”, motivated by economy of labor. I argue that Ludlow’s discussion fails to do justice to the diversity of factors that are relevant to simplicity considerations. This, in turn, leads to the neglect of crucial cases in which the rationale for simplification is unmistakably (...) epistemic, as well as instances where simplicity is part of the content of substantive, empirical hypotheses. I illustrate these points with examples from the history of generative linguistics, such as: the shaping influence exerted by simplicity, via its involvement in the notion of “linguistically significant generalization”, its methodological and substantive contribution to the goal of explanatory adequacy, and its central role in the Minimalist Program’s search “beyond explanatory adequacy”. (shrink)

In the past five years, there have been a series of papers in the journal Evolution debating the relative significance of two theories of evolution, a neo-Fisherian and a neo-Wrightian theory, where the neo-Fisherians make explicit appeal to parsimony. My aim in this paper is to determine how we can make sense of such an appeal. One interpretation of parsimony takes it that a theory that contains fewer entities or processes, (however we demarcate these) is more parsimonious. On the account (...) that I defend here, parsimony is a ‘local’ virtue. Scientists’ appeals to parsimony are not necessarily an appeal to a theory’s simplicity in the sense of it’s positing fewer mechanisms. Rather, parsimony may be proxy for greater probability or likelihood. I argue that the neo-Fisherians appeal is best understood on this interpretation. And indeed, if we interpret parsimony as either prior probability or likelihood, then we can make better sense of Coyne et al. argument that Wright’s three phase process operates relatively infrequently. (shrink)

Experiments with the simple pendulum are easy, but its motion is nevertheless confounded with simple harmonic motion. However, refined theoretical models of the pendulum can, today, be easily taught using software like CALCODE. Similarly, the cycloidal pendulum is isochronous only in simplified theory. But what are theoretically equal intervals of time? Newton accepted Barrow’s even tenor hypothesis, but conceded that ‘equal motions’ did not exist – the refutability of Newtonian physics is independent of time measurement. However, time measurement was the (...) key difficulty in reconciling Newtonian physics with electrodynamics. On Poincaré’s criterion of convenience, equal intervals of time ought be so defined as to make the enunciation of physics simple. Hence he postulated constancy of the speed of light. (The Michelson–Morley experiment was not critical.) The theory of relativity followed. But does there exist a proper clock? (shrink)

The ArgumentScience consists in progress by innovation. Scientists, however, are committed to all kinds of traditions that persist or recur in society regardless of intellectual and institutional changes. Merton's thesis about the origins of the scientific revolution in seventeenth-century England offers a sociohistorical confirmation of this revisionist view: the emergence of a highly rational scientific method out of the religious-ethical sentiments of the English Puritans implies that scientific knowledge does indeed grow out of – and not really against – customary (...) modes of thought.In tracing the intellectual origins of this view back to the religious controversy between Protestants and Catholics, the essay demonstrates that the essential conflict between them with regard to natural science stemmed from their antagonistic conceptions of tradition and its function in the production of genuineknowledge– of religious as well as of natural affairs. Whereas the Protestants believed only in those truths that are immediately revealed by God to each man through his reason, the Catholics adhered to truths that are related to men or “made” by them through culture and history. (shrink)

Two definitions of Mach’s principle are proposed. Both are related to gauge theory, are universal in scope and amount to formulations of causality that take into account the relational nature of position, time, and size. One of them leads directly to general relativity and may have relevance to the problem of creating a quantum theory of gravity.

This article discusses the role of simplicity and the notion of a best balance of simplicity and strength within the best systems account (BSA) of laws of nature. The article explores whether there is anything in scientific practice that corresponds to the notion of simplicity or to the trade-off between simplicity and strength to which the BSA appeals. Various theoretical rationales for simplicity preferences and their bearing on the identification of laws are also explored. It is concluded that there are (...) a number of issues about the role of simplicity within the BSA and its relation to strength that need to be addressed before the BSA can be regarded as an adequate account of laws. 1 Introduction2 The Best Systems Account3 The Trade-Off between Simplicity and Strength: Preliminary Considerations4 Alternative Conceptions of the Relationship between Simplicity and Strength5 Two Roles for Simplicity6 Simplicity in the Best Systems Account: Curve-Fitting7 Simplicity as a Corrective for Overfitting8 Descriptive Simplicity in the Best Systems Account?9 Simplicity as Due to Human Intellectual Limitations10 Summary11 Concluding Remarks. (shrink)

Canadian Journal of Philosophy, 26, pp. 333-66. 1996.

This paper sketches a taxonomy of forms of substantivalism and relationism concerning space and time, and of the traditional arguments for these positions. Several natural sorts of relationism are able to account for Newton's bucket experiment. Conversely, appropriately constructed substantivalism can survive Leibniz's critique, a fact which has been obscured by the conflation of two of Leibniz's arguments. The form of relationism appropriate to the Special Theory of Relativity is also able to evade the problems raised by Field. I survey (...) the effect of the General Theory of Relativity and of plenism on these considerations. (shrink)

The measurement of force is based on a formal law of additivity, which characterizes the effects of two or more configurations on the equilibrium of a material point. The representing vectors (resultant forces) are additive over configurations. The existence of a tight interrelation between the force vector and the geometric space, in which motion is described, depends on observations of partial (directional) equilibria; an axiomatization of this interrelation yields a proof of part two of Newton's second law of motion. The (...) present results (which were derived from a curious and deep isomorphism between force measurement and trichromatic color measurement) yield a kind of subunit, which needs to be incorporated into more complete axiomatizations of mechanics that would fulfill the Mach-Kirchhoff program. (shrink)

The official model of explanation proposed by the logical empiricists, the covering law model, is subject to familiar objections. The goal of the present paper is to explore an unofficial view of explanation which logical empiricists have sometimes suggested, the view of explanation as unification. I try to show that this view can be developed so as to provide insight into major episodes in the history of science, and that it can overcome some of the most serious difficulties besetting the (...) covering law model. (shrink)

Newton’s First Law of Motion is typically understood to govern only the motion of force-free bodies. This paper argues on textual and conceptual grounds that it is in fact a stronger, more general principle. The First Law limits the extent to which any body can change its state of motion –– even if that body is subject to impressed forces. The misunderstanding can be traced back to an error in the first English translation of Newton’s Principia, which was published a (...) few years after Newton’s death. (shrink)

1. In his 1964 review of Jack Smart’s classic Philosophy and Scientific Realism, Willard Van Quine, after quoting Smart saying that he propounds an ‘unashamedly realistic view of the fundamental pa...

The relationship between space (absolute space) and matters (relative space) is similar to that between a stage and performers, where they both exist independently and are interconnected. This work first explores the hypothesis that the Essential space of the Universe is absolute and is zero-dimensional. The second part of the hypothesis discusses that the three-dimensional Universe is a relative space occupied by matters and a representation of its relative positions. The hypothesis in this work will be explored and discussed using (...) reference from the correspondence between Clarke and Leibniz. This work tentatively concludes that the space is absolute and zero-dimensional. (shrink)

One of the reasons for relativistic attitudes toward science is the impossibility of justifying scientists’ decisions in the face of alternative theories. According to this paper, an alternative theory can challenge scientific rationality only if the conditions of “methodological shortcomings of scientists” and the “existence of alternative theories” are met at a specific time. A commonly used technique to counter relativism is to try to supplement and equip scientists’ methodologies when confronted with alternative theories. However, this paper focuses on evaluating (...) the possibility of “existence an alternative theory.” To this end, by referring to the different definitions of being alternative, we try to show that only “after the decision” and “the conversion of the scientific community” can a theory be considered justifiably “alternative.” Therefore, the relativistic claim is inconsistent because relativists must first accept the validity of scientists’ decisions to attribute being alternative to a theory. In this work, we provide evidence for our claim using a historical example. We also defend conservatism as a corollary of our discussion. (shrink)

In this paper I challenge two widespread convictions about unification in physics: unification is an aim of physics and unification is driven by metaphysical or metatheoretical presuppositions. I call these external explanations of why there is unification in physics. Against this, I claim that unification is a by-product of physical research and unification is driven by basic methodological strategies of physics alone. I call this an internal explanation of why there is unification in physics. To support my claims, I will (...) investigate the actual practice undertaken in physics in paradigmatic examples of unification. (shrink)

What is called “time travel” cinema is but one aspect in a tripartite series of interweaving modes of disjunctive narration which is also – simultaneously – a cinema of “many worlds” and “altered states”. Exploiting Gilles Deleuze's three syntheses of time, space, and consciousness from Difference and Repetition (1968) allows a conceptual development of these cinematic series through three popular Hollywood film cycles beginning with Planet of the Apes (Franklin J. Schaffner, 1968), The Terminator (James Cameron, 1984), and Back to (...) the Future (Robert Zemeckis, 1985). In so doing, film and philosophy are deployed as two series which together create inexhaustible atemporal, aspatial, and ahuman disjunctions, ungrounding everyday spatio-temporal identities, and affirming productive images of cinematic thought. (shrink)

Primitive, unanalysable grounding relations are considered by many to be indispensable constituents of the metaphysician’s toolkit. Yet, as a primitive ontological posit, grounding must earn its keep by explaining features of the world not explained by other tools already at our disposal. Those who defend grounding contend that grounding is required to play two interconnected roles: accounting for widespread intuitions regarding what is ontologically prior to what, and forming the backbone of a theory of metaphysical explanation, in much the same (...) way that causal relations have been thought to underpin theories of scientific explanation. This thesis undermines the need to posit grounding relations to perform either of these jobs. With regard to the first, it is argued that a pair of human psychological mechanisms—for which there is substantial empirical support—can provide a more theoretically virtuous explanation of why we have the intuitions that we do. With regard to the second, I begin by considering what we want from a theory of explanation, and go on to develop three attractive (yet grounding-free) theories of metaphysical explanation. I offer: i) a psychologistic theory that calls upon the aforementioned psychological mechanisms, as well as the modal relations of necessitation and supervenience, ii) a metaphysical variant of the deductive-nomological theory of scientific explanation, and iii) a metaphysical variant of the unificationist theory of scientific explanation. Furthermore, these theories draw upon mechanisms and relations (both logical and ontological) to which we are already committed. Thus, to posit grounding relations in order to explain our priority intuitions, or in order to develop a theory of metaphysical explanation, is ontologically profligate. I conclude that we should not posit relations of ground. (shrink)

The categorial concepts of substance (thing) and substance (stuff) are described, and the conceptual relationships between things and their constitutive stuff delineated. The relationship between substance concepts, expressed by other count-nouns, and natural kind concepts is examined. Artefacts and their parts are argued to be substances, whereas parts of organisms are not. The confusions of seventeenth- and eighteenth-century philosophers who invoked the concept of substance are adumbrated.

Reference models of the earth’s interior play an important role in the acquisition of knowledge about the earth’s interior and the earth as a whole. Such models are used as a sort of standard reference against which data are compared. I argue that the use of reference models merits more attention than it has gotten so far in the literature on models, for it is an example of a method of doing science that has a long and significant history, and (...) a study of reference models could increase our understanding of this methodology. (shrink)

Argues that a coherent theory of ethics requires an account of selfhood.

Let's begin with an old example. In De Rerum Naturua , Lucretius presented a thought experiment to show that space is infinite. We imagine ourselves near the alleged edge of space; we throw a spear; we see it either sail through the ‘edge’ or we see it bounce back. In the former case the ‘edge’ isn't the edge, after all. In the latter case, there must be something beyond the ‘edge’ that repelled the spear. Either way, the ‘edge’ isn't really (...) an edge of space, after all. So space is infinite. (shrink)

Left and right hands are incongruent counterparts. Yet each replicates the intrinsic properties of the other. This suggests that differing relations to space make the difference. Kant's and Weyl's discussions of the problem are critically discussed. It emerges that spatial relationism fails to explain how its relations may be interpreted. An excursion into visual geometry explains the basis of handedness in the orientable structure of space.

Abstract Einstein intended the general theory of relativity to be a generalization of the relativity of motion and, therefore, a radical departure from previous spacetime theories. It has since become clear, however, that this intention was not fulfilled. I try to explain Einstein's misunderstanding on this point as a misunderstanding of the role that spacetime plays in physics. According to Einstein, earlier spacetime theories introduced spacetime as the unobservable cause of observable relative motions and, in particular, as the cause of (...) inertial effects of ?absolute? motion. I use a comparative analysis of Einstein and Newton to show that spacetime is not introduced as an explanation of observable effects, but rather is defined through those effects in arguments like Newton's ?water bucket? argument and Einstein's argument for special relativity. I then argue that to claim that a spacetime theory is true, or to claim that a spacetime structure is ?real?, is not to claim that a theoretical object explains the observable. Rather, it is to claim that the fundamental definitions that link spacetime structure to physical phenomena are empirically sound, i.e. that they can be successfully applied empirically. This leads to a new and clearer view of the empirical content of spacetime theories and of the meaning of ?realism? about spacetime. (shrink)

Simone Weil is widely recognized today as one of the profound religious thinkers of the twentieth century. Yet while her interpretation of natural science is critical to Weil's overall understanding of religious faith, her writings on science have received little attention compared with her more overtly theological writings. The present essay, which builds on Vance Morgan's Weaving the World: Simone Weil on Science, Necessity, and Love (2005), critically examines Weil's interpretation of the history of science. Weil believed that mathematical science, (...) for the ancient Pythagoreans a mystical expression of the love of God, had in the modern period degenerated into a kind of reification of method that confuses the means of representing nature with nature itself. Beginning with classical (Newtonian) science's representation of nature as a machine, and even more so with the subsequent assimilation of symbolic algebra as the principal language of mathematical physics, modern science according to Weil trades genuine insight into the order of the world for symbolic manipulation yielding mere predictive success and technological domination of nature. I show that Weil's expressed desire to revive a Pythagorean scientific approach, inspired by the "mysterious complicity" in nature between brute necessity and love, must be recast in view of the intrinsically symbolic character of modern mathematical science. I argue further that a genuinely mystical attitude toward nature is nascent within symbolic mathematical science itself. (shrink)

Discussions of the metaphysical status of spacetime assume that a spacetime theory offers a causal explanation of phenomena of relative motion, and that the fundamental philosophical question is whether the inference to that explanation is warranted. I argue that those assumptions are mistaken, because they ignore the essential character of spacetime theory as a kind of physical geometry. As such, a spacetime theory does notcausally explain phenomena of motion, but uses them to construct physicaldefinitions of basic geometrical structures by coordinating (...) them with dynamical laws. I suggest that this view of spacetime theories leads to a clearer view of the philosophical foundations of general relativity and its place in the historical evolution of spacetime theory. I also argue that this view provides a much clearer and more defensible account of what is entailed by realism concerning spacetime. (shrink)