In this paper I examine the foundations of Laplace's famous statement of determinism in 1814, and argue that rather than derived from his mechanics, this statement is based on general philosophical principles, namely the principle of sufficient reason and the law of continuity. It is usually supposed that Laplace's statement is based on the fact that each system in classical mechanics has an equation of motion which has a unique solution. But Laplace never proved this result, and in fact (...) he could not have proven it, since it depends on a theorem about uniqueness of solutions to differential equations that was only developed later on. I show that the idea that is at the basis of Laplace's determinism was in fact widespread in enlightenment France, and is ultimately based on a re-interpretation of Leibnizian metaphysics, specifically the principle of sufficient reason and the law of continuity. Since the law of continuity also lies at the basis of the application of differential calculus in physics, one can say that Laplace's determinism and the idea that systems in physics can be described by differential equations with unique solutions have a common foundation. (shrink)

The purpose of this paper is to give a brief survey the implications of the theories of modern physics for the doctrine of determinism. The survey will reveal a curious feature of determinism: in some respects it is fragile, requiring a number of enabling assumptions to give it a fighting chance; but in other respects it is quite robust and very difficult to kill. The survey will also aim to show that, apart from its own intrinsic interest, (...) class='Hi'>determinism is an excellent device for probing the foundations of classical, relativistic, and quantum physics. The survey is conducted under three major presuppositions. First, I take a realistic attitude towards scientific theories in that I assume that to give an interpretation of a theory is, at a minimum, to specify what the world would have to be like in order for the theory to be true. But we will see that the demand for a deterministic interpretation of a theory can force us to abandon a naively realistic reading of the theory. Second, I reject the “no laws” view of science and assume that the field equations or laws of motion of the most fundamental theories of current physics represent science’s best guesses as to the form of the basic laws of nature. Third, I take determinism to be an ontological doctrine, a doctrine about the temporal evolution of the world. This ontological doctrine must not be confused with predictability, which is an epistemological doctrine, the failure of which need not entail a failure of determinism. From time to time I will comment on ways in which predictability can fail in a deterministic setting. Finally, my survey will concentrate on the Laplacian variety of determinism according to which the instantaneous state of the world at any time uniquely determines the state at any other time. The plan of the survey is as follows. Section 2 illustrates the fragility of determinism by means of a Zeno type example. Then sections 3 and 4 survey successively the fortunes of determinism in the Newtonian and the special relativistic settings.. (shrink)

Propensities are presented as a generalization of classical determinism. They describe a physical reality intermediary between Laplacian determinism and pure randomness, such as in quantum mechanics. They are characterized by the fact that their values are determined by the collection of all actual properties. It is argued that they do not satisfy Kolmogorov axioms; other axioms are proposed.

John Earman's A Primer on Determinism treats the doctrine of Laplacian determinism by a careful look at a considerable variety of physical theories. This paper enriches Earman's discussion of chaos theory by considering in some detail the analysis of dripping faucets due to Robert Shaw. Shaw's analysis exhibits in a nice way some of the techniques used in chaos theory and gives a feel for research in this area. The paper concentrates on the tension between the (...) class='Hi'>determinism inherent in any description involving differential equations and the in-practice unpredictability resulting from the extreme sensitivity to initial conditions of the non-linear differential equations characteristic of chaos theory. (shrink)

It is commonly thought that before the introduction of quantum mechanics, determinism was a straightforward consequence of the laws of mechanics. However, around the nineteenth century, many physicists, for various reasons, did not regard determinism as a provable feature of physics. This is not to say that physicists in this period were not committed to determinism; there were some physicists who argued for fundamental indeterminism, but most were committed to determinism in some sense. However, for them, (...) determinism was often not a provable feature of physical theory, but rather an a priori principle or a methodological presupposition. Determinism was strongly connected with principles of causality and continuity and the principle of sufficient reason; this thesis examines the relevance of these principles in the history of physics. Moreover, the history of determinism in this period shows that there were essential changes in the relation between mathematics and physics: whereas in the eighteenth century, there were metaphysical arguments which lent support to differential calculus, by the early twentieth century the development of rigorous foundations of differential calculus led to concerns about its applicability in physics. The thesis consists of six papers. In the first paper, "On the origins and foundations of Laplacian determinism", I argue that Laplace, who is usually pointed out as the first major proponent of scientific determinism, did not derive his statement of determinism directly from the laws of mechanics; rather, his determinism has a background in eighteenth century Leibnizian metaphysics, and is ultimately based on the law of continuity and the principle of sufficient reason. These principles also provided a basis for the idea that one can find laws of nature in the form of differential equations which uniquely determine natural processes. In "The Norton dome and the nineteenth century foundations of determinism", I argue that an example of indeterminism in classical physics which has attracted attention in philosophy of physics in recent years, namely the Norton come, was already discussed during the nineteenth century. However, the significance which this type of indeterminism had back then is very different from the significance which the Norton dome currently has in philosophy of physics. This is explained by the fact that determinism was conceived of in an essentially different way: in particular, the nineteenth century authors who wrote about this type of indeterminism regarded determinism as an a priori principle rather than as a property of the equations of physics. In "Vital instability: life and free will in physics and physiology, 1860-1880", I show how Maxwell, Cournot, Stewart and Boussinesq used the possibility of unstable or indeterministic mechanical systems to argue that the will or a vital principle can intervene in organic processes without violating the laws of physics, so that a strictly dualist account of life and the mind is possible. Moreover, I show that their ideas can be understood as a reaction to the law of conservation of energy and to the way it was used in physiology to exclude vital and mental causes. In "The nineteenth century conflict between mechanism and irreversibility", I show that in the late nineteenth century, there was a widespread conflict between the aim of reducing physical processes to mechanics and the recognition that certain processes are irreversible. Whereas the so-called reversibility objection is known as an objection that was made to the kinetic theory of gases, it in fact appeared in a wide range of arguments, and was susceptible to very different interpretations. It was only when the project of reducing all of physics to mechanics lost favor, in the late nineteenth century, that the reversibility objection came to be used as an argument against mechanism and against the kinetic theory of gases. In "Continuity in nature and in mathematics: Boltzmann and Poincaré", I show that the development of rigorous foundations of differential calculus in the nineteenth century led to concerns about its applicability in physics: through this development, differential calculus was made independent of empirical and intuitive notions of continuity and was instead based on mathematical continuity conditions, and for Boltzmann and Poincaré, the applicability of differential calculus in physics depended on whether these continuity conditions could be given a foundation in intuition or experience. In the final paper, "Determinism around 1900", I briefly discuss the implications of the developments described in the previous two papers for the history of determinism in physics, through a discussion of determinism in Mach, Poincaré and Boltzmann. I show that neither of them regards determinism as a property of the laws of mechanics; rather, for them, determinism is a precondition for science, which can be verified to the extent that science is successful. (shrink)

Since the completion of the Human Genome Project (HGP), biomedical sciences have moved away from a gene-centred view and towards a multi-factorial one in which environment, broadly speaking, plays a central role in the determination of human health and disease. Environmental exposures have been shown to be highly prevalent in disease causation. They are considered as complementary to genetic factors in the etiology of diseases, hence the introduction of the concept of the “exposome” as encompassing the totality of human environmental (...) exposures, from conception onwards (Wild in Cancer Epidemiol Biomark Prev 14:1847–1850, 2005), and the launch of the Human Exposome Project (HEP) which aims to complement the HGP. At first sight, and seen as complementary to the genome, the exposome could thus appear as contributing to the rise of novel postgenomic deterministic narratives which place the environment at their core. Is this really the case? If so, what sort of determinism is at work in exposomics research? Is it a case of environmental determinism, and if so, in what sense? Or is it a new sort of deterministic view? In this paper, we first show that causal narratives in exposomics are still very similar to gene-centred deterministic narratives. They correspond to a form of Laplacian determinism and, above all, to what Claude Bernard called the “determinism of a phenomenon”. Second, we introduce the notion of “reversed heuristic determinism” to characterize the specific deterministic narratives present in exposomics. Indeed, the accepted sorts of external environmental exposures conceived as being at the origins of diseases are determined, methodologically speaking, by their identifiable internal and biological markers. We conclude by highlighting the most relevant implications of the presence of this heuristic determinism in exposomics research. (shrink)

Several philosophers of science have advanced an instrumentalist thesis about the use of probabilities in evolutionary biology. I investigate the consequences of instrumentalism on evolutionary explanations. I take issue with Barbara Horan's (1994) argument that probabilities are unnecessary to explain evolutionary change given the underlying deterministic character of evolutionary processes. First, I question Horan's deterministic assumption. Then, I attempt to undermine her Laplacian argument by demonstrating that whether probabilities are necessary depends upon the sort of questions one is asking.

Positions taken in the current debate over free will can be seen as responses to the following conditional: -/- If every action is caused solely by another event and a cause necessitates its effect, then there is no action to which there is an alternative (C). -/- The Libertarian, who believes that alternatives are a requirement of free will, responds by denying the right conjunct of C’s antecedent, maintaining that some actions are caused, either mediately or immediately, by events whose (...) effects could be different, even if they were to recur under identical circumstances. We have here a denial of Laplacian Determinism (LD), according to which the condition of the world at any instant makes only one state possible at any other instant. One prominent defender of this view, Robert Kane, holds that unless an agent’s neural mechanisms operated indeterministicly in forming her character she is not responsible for its manifestations. This requirement is entailed by the principle of “ultimate responsibility” (UR) according to which an act is freely willed only if (a) its agent is personally responsible for its performance in the sense of having caused it to occur by voluntarily doing something that was avoidable and (b) there is no sufficient condition for its performance for which its agent is not personally responsible. The orthodox Compatibilist, adducing counterexamples to UR, argues that even if C and its antecedent are true, free will is possible. Ned Markosian has provided the Compatibilist with yet another response to UR-based objections to her view, wedding it to the notion of agent causation: here the deterministic causing of an act by its agent is necessary and sufficient for its being “morally free.” I criticize this view as inconsistent with the agent causalist's belief that moral responsibility precludes causation of a choice by any power other than the maker thereof: he being its efficient cause. (shrink)

By contrasting three general conceptions of scientific explanation, this paper seeks to clarify the explanandum and to exhibit the fundamental philosophical issues involved in the project of explicating scientific explanation. The three conceptions--epistemic, modal, and ontic--have both historical and contemporary importance. In the context of Laplacian determinism, they do not seem importantly distinct, but in the context of irreducibly statistical explanations, the three are seen to diverge sharply. The paper argues for a causal/mechanical version of the ontic conception, (...) and concludes by exhibiting some striking consequences of this approach. (shrink)

The paper attempts to reconcile two very different approaches to the concept of causation. In the original form, it is the opposition found in Laplace between his doctrine of constant and variable causes on the one hand and his mechanistic determinism on the other. This tension was described clearly only by Maxwell who stressed the contrast between the statistical and the dynamical method (calling the latter also the historical or strictly kinetic method). A similar dichotomy surfaces in the work (...) of Wesley Salmon who distinguished statistical from aleatory causation. Acknowledging that we seem to have conflicting intuitions about causality and explanation, I argue that assigning probabilistic laws a fundamental role in scientific explanation does not conflict with the assumption of Laplacian determinism. This is due to the fact that in most systems of interest, we confront a complex interaction of multiple causal factors and an extreme sensitivity to small variations of initial conditions. (shrink)

It is shown that time may be appreciated in at least two senses: chronological and dynamical. Chronological time is the time of our naïve acquaintance as transient beings. At its most extensive scale, it corresponds to history encompassing both the abiotic and the biotic universe. Dynamical time, deriving from classical mechanics, is the time embraced by most of the laws of physics. It concerns itself only with present conditions since it is held that that the past may be reconstructed from (...) the present and the future predicted from the present, a position known as Laplacian determinism.Nonlinear dynamics has shown the fallacy of this supposition: The concrete values that may be assumed in the variables of the equations of motion constituting the laws of physics as a result of the spontaneous or intentional interaction of subject or measuring systems and of object or measured systems cannot be of infinite precision. Indeed, even if they could be, it is not at all clear that they would permit Laplacian determinism because of what is thought to be the ubiquity of K-flow dynamics in nature in which even infinite past information leading to the present cannot yield prediction of the future. In consequence, nonlinear dynamics, in rebellion against dynamical time, generates a primitive form of history distinguishing past, present, and future that may be termed nonlinear dynamical hysteresis.When nonlinear dynamics came to be complemented with semiotic modulation through the implement of symbol-mediated language as first instantiated through the communicating as opposed to the merely dynamically interacting molecular complexes of the cell, what can be termed semiotic hysteresis was born. The paper attempts to show that indefinitely evolving complexity, sustainability, justice, and meaning are indissolubly bound with chronological time in the sense of semiotic hysteresis : This semiotic hysteresis yields the indefinite evolutionary time of the living condition—including culture. (shrink)

Taken together with my previous articles [77], [80] devoted to the history of finite random sums and to Laplace's theory of errors, this paper sheds sufficient light on the whole work of Laplace in probability. Laplace's theory of probability is subdivided into theory of probability proper, limit theorems and mathematical statistics (not yet distinguished as a separate entity). I maintain that in its very design Laplace's theory of probability is a discipline pertaining to natural science rather than to mathematics. I (...) maintain also the idea that the so-called Laplacian determinism was no hindrance to applications of his theory of probability to natural science and that one of his utterances in this connection could have well been made by Maxwell's contemporaries. Two possible reasons why the theory of probability stagnated after Laplace's work are singled out: the absence of new fields of application and, also, the insufficient level of mathematical abstraction used by Laplace. For all his achievements, I reach the general conclusion that he did not originate the theory of probability as it is now known. (shrink)

Positions taken in the current debate over free will can be seen as responses to the following conditional: If every action is caused solely by another event and a cause necessitates its effect, then there is no action to which there is an alternative. The Libertarian, who believes that alternatives are a requirement of free will, responds by denying the right conjunct of C’s antecedent, maintaining that some actions are caused, either mediately or immediately, by events whose effects could be (...) different, even if they were to recur under identical circumstances. We have here a denial of Laplacian Determinism (LD), according to which the condition of the world at any instant makes only one state possible at any other instant.¹ One prominent defender of this view, Robert Kane, holds that unless an agent’s neural mechanisms operated indeterministicly in forming her character she is not responsible for its manifestations.² This requirement is entailed by the principle of “ultimate responsibility” (UR) according to which an act is freely willed only if (a) its agent is personally responsible for its performance in the sense of having caused it to occur by voluntarily doing something that was avoidable and (b). (shrink)

The Unity of Science is often thought to be reductionist, but this is because we fail to distinguish questions from answers. The questions asked by different sciences are different---the biologist is interested in different topics from the physicist, and seeks different explanations---but the answers are not peculiar to each particular science, and can range over the whole of scientific knowledge. The biologist is interested in organisms--- concept unknown to physics---but explains physiological processes in terms of chemistry, not a mysterious vital (...) force. The replacement of Laplacian determinism by quantum mechanics further erodes the tendency towards reductionism. The answers given in different explanations are not subsumed under one complete theory; and quantum mechanics does not have a concept of haecceitas, "this-i-ness" which would make its entities the fundamental constituents of everything. (shrink)

It is well known that Albert Einstein adhered to a deterministic world view throughout his career. Nevertheless, his developments of the special and general theories of relativity prove to be incompatible with that world view. Two different forms of determinism—classical Laplacian determinism and the determinism of isolated systems—are considered. Through careful considerations of what concretely is involved in predicting future states of the entire universe, or of isolated systems, it is shown that the demands of the (...) theories of relativity make these deterministic positions untenable. (shrink)

In a strictly deterministic universe a Laplacian superman undertakes to predict if a certain ongoing Turing machine will ever halt. Well, he may predict that the machine will be struck by lightning tomorrow but Judson Webb invites us to "idealize" the case sufficiently so that it is not any lack of physical knowledge that stymies the Laplacian superman but rather the negative result of Turing's metamathematical or formal "indeterminacy" that suggests to Webb a the-Turing machines are thus seen (...) to enjoy a certain sort of "indeterminacy" or "unpredictability" which, while not physical in character, might readily be styled metamathematical. It is precisely that metamathematical or formal "indeterminacy" that suggests to Webb a theoretical basis for overcoming the traditional dichotomy of mind and mechanism. The ostensibly negative results of Turing, Gödel, and Church, far from showing that minds cannot possibly be machines, Webb interprets positively as supplying us with rich instructions as to what sort of unpredictable machines we have right to expect them to be. (shrink)

Complexity sciences have become famous worldwide thanks to several popular books that served as echo chambers of their promises. These consisted in departing from “classical science” defined as deterministic, reductionist, analytic and mono-disciplinary. Their founders and supporters declared that complexity sciences were going to give rise (or that they have given rise) to a post-Laplacian, antireductionist, holistic and interdisciplinary approach. By taking a closer look at their content and practices, I argue in this article that, because of their physics-oriented, (...) computationalist, and mathematical assumptions, complexity sciences have paradoxically produced knowledge at odds with these four tenets. (shrink)

Between Calculability and Non-Calculability. Issues of Calculability and Predictability in the Physics of Complex Systems. The ability to predict has been a very important qualifier of what constitutes scientific knowledge, ever since the successes of Babylonian and Greek astronomy. More recent is the general appreciation of the fact that in the presence of deterministic chaos, predictability is severely limited (the so-called ‘butterfly effect’): Nearby trajectories diverge during time evolution; small errors typically grow exponentially with time. The system obeys deterministic laws (...) and still is unpredictable, seemingly a paradox for the traditional viewpoint of Laplacian determinisms. With the concept of deterministic chaos the epistemological issue about an adequate understanding of predictability is no longer just a mere philosophical topic. Physicists on the one hand recognize the limits of (long term) predictability, computability and even of scientific knowledge, on the other hand they work on concepts for extending the horizon of predictability. It is shown in this paper that physics of complex systems is useful to clarify the jungle of different meanings of the terms ‘predictability’ and ‘computability’ — also with philosophical implications for understanding science and nature. Today, from the physical point of view, the relevance of the concepts of predictability seems to be underestimated by philosophers as a mere methodological topic. In the paper I analyse the importance of predictability and computability in physics of complex systems. I show a way how to cope with problems of unpredictability and noncomputability. Nine different concepts of predictability and computability (i.e. open solution, sensitivity/chaos, redundancy/chance) are presented, compared and evaluated. (shrink)

Chaos, once considered antithetical to scientific law and order, is presently the subject of a vigorous and progressive scientific research program. "Chaos" as it is used in current scientific literature is a technical term: it refers to stochastic behavior generated by deterministic systems. This behavior has appeared in models of a wide range of phenomena including atmospheric patterns, population dynamics, celestial motion, heartbeat rhythms, turbulent fluids, chemical reactions and social structures. In general, chaos arises in the nonlinear dynamics of complex (...) systems. Grebogi, Ott and Yorke reflect the sentiment of the scientific community when they state that chaotic nonlinear dynamics has "fundamental implications." This dissertation explores these results in a philosophic context. ;The research is organized as follows: The Context of Science. Scientific results are achieved in and make sense in the practical context of research which includes both experiment and theory. Drawing on the work of Dyke, Galison, Garfinkel and Hacking, a philosophic context is described which more accurately reflects the significance of scientific results than do the contexts of discovery and justification. Models. Chaos theory is constituted by a family of numerical models. In this chapter, Giere's account of modeling is extended to both bio-medical and numerical models. Chaos in Scientific Models. This is a rather lengthy primer of chaos theory that is, although technically accurate, accessible to nonspecialists. It constitutes a road map for the primary literature on chaos. Chaos and Prediction. Chaos theory shows a limit of our science, namely, chaotic systems are deterministic yet unpredictable in the long run. The chapter includes a discussion of scientific determinism following Popper and, it concludes by providing evidence against the laplacian claim that deterministic systems are predictable. Chaos and Complexity. This shows what contribution chaos theory makes toward answering the challenge of organized complexity articulated by Weaver. It discusses attempts to characterize complexity and shows how the results of chaos theory can help. I draw on the work of Abraham, Arecchi, Atlan, Chaitin, Eckmann, Peacocke, Rosen, Ruelle, and others. Chaos theory provides a thoroughly nonvitalistic framework for understanding dynamical complexity in organic, as well as inorganic, systems. (shrink)

This book argues two main things: The first is that there is no such thing as free will—at least not in the sense most ordinary folk take to be central or fundamental; the second is that the strong and pervasive belief in free will can be accounted for through a careful analysis of our phenomenology and a proper theoretical understanding of consciousness.

In this paper I argue that Adorno's metacritique of freedom in Negative Dialectics and related texts remains fruitful today. I begin with some background on Adorno's conception of ‘metacritique’ and on Kant's conception of freedom, as I understand it. Next, I discuss Adorno's analysis of the experiential content of Kantian freedom, according to which Kant has reified the particular social experience of the early modern bourgeoisie in his conception of unconditioned freedom. Adorno argues against this conception of freedom and suggests (...) that freedom is always conditioned by our embodiment and by our social and historical situation. Finally, I turn to Adorno's criticism of Kant's discussion of freedom and determinism in the Critique of Pure Reason and argue that while his philosophical argument against Kant fails, his metacritical argument remains suggestive. Scepticism about freedom arises when the standpoint of theoretical reason encroaches upon the standpoint of practical reason and assimilates persons to things. (shrink)

Genetic determinism is the idea that many significant human characteristics are rendered inevitable by the presence of certain genes. The psychologist Susan Oyama has famously compared arguing against genetic determinism to battling the undead. Oyama suggests that genetic determinism is inherent in the way we currently represent genes and what genes do. As long as genes are represented as containing information about how the organism will develop, they will continue to be regarded as determining causes no matter (...) how much evidence exists to the contrary. Philip Kitcher has strongly disputed Oyama’s diagnosis, arguing that the conventional ‘interactionist’ perspective on development is the correct framework for understanding the role of the genes in development. While acknowledging the legitimacy of many of Kitcher’s observations, I believe that Oyama’s view is substantially correct. In this paper I provide several lines of support for support the Oyama diagnosis. (shrink)

Edward Nieznanski developed in 2007 and 2008 two different systems in formal logic which deal with the problem of evil. Particularly, his aim is to refute a version of the logical problem of evil associated with a form of religious determinism. In this paper, we revisit his first system to give a more suitable form to it, reformulating it in first-order modal logic. The new resulting system, called N1, has much of the original basic structure, and many axioms, definitions, (...) and theorems still remain; however, some new results are obtained. If the conclusions attained are correct and true, then N1 solves the problem of evil through the refutation of a version of religious determinism, showing that the attributes of God in Classical Theism, namely, those of omniscience, omnipotence, infallibility, and omnibenevolence, when adequately formalized, are consistent with the existence of evil in the world. We consider that N1 is a good example of how formal systems can be applied in solving interesting philosophical issues, particularly in Philosophy of Religion and Analytic Theology, establishing bridges between such disciplines. (shrink)

In this study, we conducted large-scale experiments with novel descriptions of determinism. Our goal was to investigate the effects of desires for punishment and comprehension errors on people’s intuitions about free will and moral responsibility in deterministic scenarios. Previous research has acknowledged the influence of these factors, but their total effect has not been revealed. Using a large-scale survey of Japanese participants, we found that the failure to understand causal determination (intrusion) has limited effects relative to other factors and (...) that the conflation of determinism and epiphenomenalism (bypassing) has a significant influence, even when controlling for other variables. This leads to the increased prevalence of incompatibilist responses. Furthermore, our results demonstrated a close association between the attribution of free will/responsibility and retributive desire. While further research is needed to establish the causal relationship between these factors, this association is consistent with Cory Clark and colleagues' study that increased desire contributes to increased compatibilist responses and their claim that a definitive intuition about free will may be elusive. (shrink)

It is well known that every propositional logic which satisfies certain very natural conditions can be characterized semantically using a multi-valued matrix ([Los and Suszko, 1958; W´ ojcicki, 1988; Urquhart, 2001]). However, there are many important decidable logics whose characteristic matrices necessarily consist of an infinite number of truth values. In such a case it might be quite difficult to find any of these matrices, or to use one when it is found. Even in case a logic does have a (...) finite characteristic matrix it might be difficult to discover this fact, or to find such a matrix. The deep reason for these difficulties is that in an ordinary multi-valued semantics the rules and axioms of a system should be considered as a whole, and there is no method for separately determining the semantic effects of each rule alone. (shrink)

Genetic determinism is the idea that many significant human characteristics are rendered inevitable by the presence of certain genes. The psychologist Susan Oyama has famously compared arguing against genetic determinism to battling the undead. Oyama suggests that genetic determinism is inherent in the way we currently represent genes and what genes do. As long as genes are represented as containing information about how the organism will develop, they will continue to be regarded as determining causes no matter (...) how much evidence exists to the contrary. Philip Kitcher has strongly disputed Oyama’s diagnosis, arguing that the conventional ‘interactionist’ perspective on development is the correct framework for understanding the role of the genes in development. While acknowledging the legitimacy of many of Kitcher’s observations, I believe that Oyama’s view is substantially correct. In this paper I provide several lines of support for support the Oyama diagnosis. (shrink)

I discuss candidates for definitions of determinism in the context of general relativistic spacetimes, and argue that a definition which does not make recourse to any particular region of spacetime should be preferred over alternatives; one such notion is discussed in detail in the light of various physical examples. The emerging picture of determinism is a pluralist one: sometimes there is no unique way of making our intuitive concept of determinism precise. Instead, what is crucial for assessment (...) of determinism of the theory are auxiliary conditions under which it counts as deterministic or indeterministic, and justification for using them in a given situation. (shrink)

Mumford and Anjum (2014) present a new argument for the incompatibility of free will and causal determinism. Although their argument depends on the assumption that free will is, or is the exercise of, a causal power, it does not appeal to any special features of this power. Their new argument does, however, depend upon a general thesis of the incompatibility of causal powers with causal determinism. I argue that Mumford and Anjum have provided no justification for this general (...) thesis. As a consequence, their new argument for the incompatibility of free will and causal determinism is unsuccessful. (shrink)

The paper describes two approaches to determinism: one focuses on the features of global objects, such as possible worlds or models of a theory, whereas the other’s concern is the possible behaviour of individual objects. It then gives an outline of an individuals-based analysis of the determinism of theories. Finally, a general relativistic spacetime with non-isometric extensions is described and used to illustrate a conflict between the two approaches: this spacetime is indeterministic by the first approach but deterministic (...) by the second approach. (shrink)

Filtration combustion is described by Laplacian growth without surface tension. These equations have elegant analytical solutions that replace the complex integro-differential motion equations by simple differential equations of pole motion in a complex plane. The main problem with such a solution is the existence of finite time singularities. To prevent such singularities, nonzero surface tension is usually used. However, nonzero surface tension does not exist in filtration combustion, and this destroys the analytical solutions. However, a more elegant approach exists (...) for solving the problem. First, we can introduce a small amount of pole noise to the system. Second, for regularisation of the problem, we throw out all new poles that can produce a finite time singularity. It can be strictly proved that the asymptotic solution for such a system is a single finger. Moreover, the qualitative consideration demonstrates that a finger with 1 2 of the channel width is statistically stable. Therefore, all properties of such a solution are exactly the same as those of the solution with nonzero surface tension under numerical noise. The solution of the ST problem without surface tension is similar to the solution for the equation of cellular flames in the case of the combustion of gas mixtures. (shrink)

The problem of freedom and determinism is one of the most enduring, and one of the best, problems in philosophy. One of the best because it so tenaciously resists solution while yet always seeming urgent, and one of the most enduring because it has always been able to present itself in different ways to suit the preoccupations of different ages. This book, first published in 1980, sets out to defend free will: it elaborates a sober and systematic case for (...) libertarianism in the face of the overwhelming threat that is posed by the scientific study of the brain. (shrink)