This article focuses on three themes concerning determinism and indeterminism. The first theme is observational equivalence between deterministic and indeterministic models. Here I discuss several results about observational equivalence and present an argument on how to choose between deterministic and indeterministic models involving indirect evidence. The second theme is whether Newtonian physics is indeterministic. I argue that the answer depends on what one takes Newtonian mechanics to be, and I highlight how contemporary debates on this issue differ from those (...) in the nineteenth century. The third major theme is how the method of arbitrary functions can be used to make sense of deterministic probabilities. I discuss various ways of interpreting the initial probability distributions and argue that they are best understood as physical, biological etc. quantities characterising the particular situation at hand. Also, I emphasise that the method of arbitrary functions deserves more attention than it has received so far. (shrink)

This article focuses on three recent discussions on determinism in the philosophy of science. First, determinism and predictability will be discussed. Then, second, the paper turns to the topic of determinism, indeterminism, observational equivalence and randomness. Finally, third, there will be a discussion about deterministic probabilities. The paper will end with a conclusion.

In his Philosophical Inquiry concerning Human Liberty (1717), the English deist Anthony Collins proposed a complete determinist account of the human mind and action, partly inspired by his mentor Locke, but also by elements from Bayle, Leibniz and other Continental sources. It is a determinism which does not neglect the question of the specific status of the mind but rather seeks to provide a causal account of mental activity and volition in particular; it is a ‘volitional determinism’. Some (...) decades later, Diderot articulates a very similar determinism, which seeks to recognize the existence of “causes proper to man” (as he says in the Réfutation d’Helvétius). The difference with Collins is that now biological factors are being taken into account. Obviously both the ‘volitional’ and the ‘biological’ forms of determinism are noteworthy inasmuch as they change our picture of the nature of determinism itself, but my interest here is to compare these two determinist arguments, both of which are broadly Spinozist in nature – and as such belong to what Jonathan Israel called in his recent book “the radical Enlightenment,” i.e. a kind of underground Enlightenment constituted by Spinozism – and to see how Collins’ specifically psychological vision and Diderot’s specifically biological vision correspond to their two separate national contexts: determinism in France in the mid-1750s was a much more medico-biological affair than English determinism, which appears to be on a ‘path’ leading to Mill and associationist psychology. (shrink)

There are arguments for determinism. Admittedly, this is opposed by the fact of everyday experience of autonomy. In the following, it is argued for the compatibility of determinism and autonomy. Taking up considerations of Donald MacKay, a fatalistic attitude can be refuted as false. Repeatedly, attempts have been made to defend the possibility of autonomy with reference to quantum physical indeterminacy. But its statistical randomness clearly misses the meaning of autonomy. What is decisive, on the other hand, is (...) the possibility of knowledge, which opens up opportunities for planning, freedom of choice and ultimately 'self-choice'. Results of neurobiological research, especially Benjamin Libet's and more recently John-Dylan Haynes', seem to refute this: Actions are unconsciously initiated before conscious decision. But, as Libet has also shown, consciousness always has the possibility of a veto – and thus also of knowledge-driven action control. Ultimately, the idea of possible self-choice can thus become the determining condition. Only such a form of rational self-determination establishes a spiritual identity and at the same time represents the maximum of autonomy possible for human beings. (shrink)

Adams presents an in-depth interpretation of three important parts of Leibniz's metaphysics, thoroughly grounded in the texts as well as in philosophical analysis and critique. The three areas discussed are the metaphysical part of Leibniz's philosophy of logic, his essentially theological treatment of the central issues of ontology, and his theory of substance. Adams' work helps make sense of one of the great classic systems of modern philosophy.

It is generally thought that objective chances for particular events different from 1 and 0 and determinism are incompatible. However, there are important scientific theories whose laws are deterministic but which also assign non-trivial probabilities to events. The most important of these is statistical mechanics whose probabilities are essential to the explanations of thermodynamic phenomena. These probabilities are often construed as 'ignorance' probabilities representing our lack of knowledge concerning the microstate. I argue that this construal is incompatible with the (...) role of probability in explanation and laws. This is the 'paradox of deterministic probabilities'. After surveying the usual list of accounts of objective chance and finding them inadequate I argue that an account of chance sketched by David Lewis can be modified to solve the paradox of deterministic probabilities and provide an adequate account of the probabilities in deterministic theories like statistical mechanics. (shrink)

Modal dispositionalists hold that dispositions provide the foundation of metaphysical necessity and possibility. According to the kind of modal dispositionalism that can be found in the present literature, a proposition p is possible just in case some things are disposed to be such that p. In the first part of this paper I show that combining this classic form of dispositionalism with the assumptions that the laws of nature are necessary and deterministic and that all dispositions are forward-looking in time (...) leads to the unattractive conclusion that every truth is necessary. I argue that the classic dispositionalist should be troubled by this result and in the second part of the paper I suggest a novel variant of dispositionalism that avoids it. This extended form of dispositionalism allows that some propositions are only indirectly underwritten by dispositions. (shrink)

Rational agents face choices, even when taking seriously the possibility of determinism. Rational agents also follow the advice of Causal Decision Theory (CDT). Although many take these claims to be well-motivated, there is growing pressure to reject one of them, as CDT seems to go badly wrong in some deterministic cases. We argue that deterministic cases do not undermine a counterfactual model of rational deliberation, which is characteristic of CDT. Rather, they force us to distinguish between counterfactuals that are (...) relevant and ones that are irrelevant for the purposes of deliberation. We incorporate this distinction into decision theory to develop ‘Selective Causal Decision Theory’, which delivers the correct recommendations in deterministic cases while respecting the key motivations behind CDT. (shrink)

Can there be deterministic chance? That is, can there be objective chance values other than 0 or 1, in a deterministic world? I will argue that the answer is no. In a deterministic world, the only function that can play the role of chance is one that outputs just Os and 1s. The role of chance involves connections from chance to credence, possibility, time, intrinsicness, lawhood, and causation. These connections do not allow for deterministic chance.

I sketch a new constraint on chance, which connects chance ascriptions closely with ascriptions of ability, and more specifically with 'CAN'-claims. This connection between chance and ability has some claim to be a platitude; moreover, it exposes the debate over deterministic chance to the extensive literature on (in)compatibilism about free will. The upshot is that a prima facie case for the tenability of deterministic chance can be made. But the main thrust of the paper is to draw attention to the (...) connection between the truth conditions of sentences involving 'CAN' and 'CHANCE', and argue for the context sensitivity of each term. Awareness of this context sensitivity has consequences for the evaluation of particular philosophical arguments for (in) compatibilism when they are presented in particular contexts. (shrink)

Multialgebras have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization of logics by swap structures are given. Specifically, (...) a formal study of swap structures for LFIs is developed, by adapting concepts of universal algebra to multialgebras in a suitable way. A decomposition theorem similar to Birkhoff’s representation theorem is obtained for each class of swap structures. Moreover, when applied to the 3-valued algebraizable logics J3 and Ciore, their classes of algebraic models are retrieved, and the swap structures semantics become twist structures semantics. This fact, together with the existence of a functor from the category of Boolean algebras to the category of swap structures for each LFI, suggests that swap structures can be seen as non-deterministic twist structures. This opens new avenues for dealing with non-algebraizable logics by the more general methodology of multialgebraic semantics. (shrink)

Physicists are increasingly beginning to take seriously the possibility of laws outside the traditional time-evolution paradigm; yet many popular definitions of determinism are still predicated on a time-evolution picture, making them manifestly unsuited to the diverse range of research programmes in modern physics. In this article, we use a constraint-based framework to set out a generalization of determinism which does not presuppose temporal evolution, distinguishing between strong, weak and delocalised holistic determinism. We discuss some interesting consequences of (...) these generalized notions of determinism, and we show that this approach sheds new light on the long-standing debate surrounding the nature of objective chance. (shrink)

Determinism is a perennial topic of philosophical discussion. Very little acquaintance with the philosophical literature is needed to reveal the Tower of ...

Bobzien presents the definitive study of one of the most interesting intellectual legacies of the ancient Greeks: the Stoic theory of causal determinism. She explains what it was, how the Stoics justified it, and how it relates to their views on possibility, action, freedom, moral responsibility, moral character, fatalism, logical determinism and many other topics. She demonstrates the considerable philosophical richness and power that these ideas retain today.

Some have argued that chance and determinism are compatible in order to account for the objectivity of probabilities in theories that are compatible with determinism, like Classical Statistical Mechanics (CSM) and Evolutionary Theory (ET). Contrarily, some have argued that chance and determinism are incompatible, and so such probabilities are subjective. In this paper, I argue that both of these positions are unsatisfactory. I argue that the probabilities of theories like CSM and ET are not chances, but also (...) that they are not subjective probabilities either. Rather, they are a third type of probability, which I call counterfactual probability. The main distinguishing feature of counterfactual-probability is the role it plays in conveying important counterfactual information in explanations. This distinguishes counterfactual probability from chance as a second concept of objective probability. (shrink)

This volume unites established authors and rising young voices in philosophical theology and philosophy of religion to offer the single most wide-ranging examination of theological determinism-in terms of both authors represented and issues investigated-published to date. Fifteen contributors present discussions about theological determinism, the view that God determines everything that occurs in the world. Some authors provide arguments in favor of this position, while others provide considerations against it. Many contributors investigate the relationship between theological determinism and (...) other philosophical issues, theological doctrines, or moral attitudes and practices. This book is essential reading for all those interested in the relationship between theological determinism and philosophical thought. (shrink)

A strongly deterministic theory of physics is one that permits exactly one possible history of the universe. In the words of Penrose (1989), "it is not just a matter of the future being determined by the past; the entire history of the universe is fixed, according to some precise mathematical scheme, for all time.” Such an extraordinary feature may appear unattainable in a world like ours. In this paper, I show that it can be achieved in a simple way and (...) discuss its implications for metaphysics and philosophy of science, including natural properties, free will, explanation, and modality. First, I propose a precise definition of strong determinism. Next, I discuss its philosophical ramifications and a toy example. Finally, I provide a realistic example of a strongly deterministic (and simple) physical theory---the Everettian Wentaculus. A surprising consequence is that whether or not our world is strongly deterministic may be empirically underdetermined. (shrink)

Legendary since his own time as a universal genius, Gottfried Wilhelm Leibniz (1646-1716) contributed significantly to almost every branch of learning. One of the creators of modern mathematics, and probably the most sophisticated logician between the Middle Ages and Frege, as well as a pioneer of ecumenical theology, he also wrote extensively on such diverse subjects as history, geology, and physics. But the part of his work that is most studied today is probably his writings in metaphysics, which have been (...) the focus of particularly lively philosophical discussion in the last twenty years or so. The writings contain one of the great classic systems of modern philosophy, but the system must be pieced together from a vast and miscellaneous array of manuscripts, letters, articles, and books, in a way that makes especially strenuous demands on scholarship. This book presents an in-depth interpretation of three important parts of Leibniz's metaphysics, thoroughly grounded in the texts as well as in philosophical analysis and critique. The three areas discussed are the metaphysical part of Leibniz's philosophy of logic, his essentially theological treatment of the central issues of ontology, and his theory of substance (the famous theory of monads). (shrink)

A previously unrecognised argument against deterministic chance is introduced. The argument rests on the twin ideas that determined outcomes are settled, while chancy outcomes are unsettled, thus making cases of determined but chancy outcomes impossible. Closer attention to tacit assumptions about settledness makes available some principled lines of resistance to the argument for compatibilists about chance and determinism. Yet the costs of maintaining compatibilism may be higher with respect to this argument than with respect to existing incompatibilist arguments.

I argue that there are non-trivial objective chances (that is, objective chances other than 0 and 1) even in deterministic worlds. The argument is straightforward. I observe that there are probabilistic special scientific laws even in deterministic worlds. These laws project non-trivial probabilities for the events that they concern. And these probabilities play the chance role and so should be regarded as chances as opposed, for example, to epistemic probabilities or credences. The supposition of non-trivial deterministic chances might seem to (...) land us in contradiction. The fundamental laws of deterministic worlds project trivial probabilities for the very same events that are assigned non-trivial probabilities by the special scientific laws. I argue that any appearance of tension is dissolved by recognition of the level-relativity of chances. There is therefore no obstacle to accepting non-trivial chance-role-playing deterministic probabilities as genuine chances. (shrink)

Originally published in 1934, this book presents the content of an inaugural lecture delivered by the British philosopher Charles Dunbar Broad (1887-1971), upon taking up the position of Knightbridge Professor of Moral Philosophy at Cambridge University. The text presents a discussion of the relationship between determinism, indeterminism and libertarianism. This book will be of value to anyone with an interest in the writings of Broad and the history of philosophy.

The hole argument contends that a substantivalist has to view General Relativity as an indeterministic theory. A recent form of substantivalist reply to the hole argument has urged the substantivalist to identify qualitatively isomorphic possible worlds. Gordon Belot has argued that this form of substantivalism is unable to capture other genuine violations of determinism. This paper argues that Belot's alleged examples of indeterminism should not be seen as a violation of a form of determinism that physicists are interested (...) in. What is undetermined in these examples, and in the hole argument, is a haecceitistic feature of the world. It is argued that these features are not among those we should expect the physical state of the world to determine. This vindicates the substantivalist reply to the hole argument, but also illustrates that philosophers of physics cannot ignore metaphysics when characterizing determinism for a physical theory. (shrink)

Divine determinism, though affirmed by many Calvinists, implicates God in the decisions people make that ultimately damn them to the terrible destiny of hell. In this paper, the authors argue that this scenario is a problem for divine determinism. The article contends that determinism is inconsistent with God’s love and the Scriptures that explicitly state that God does not ‘desire’ anyone to go to hell. Even human love for others strongly suggests that God, who is ‘love’, will (...) not determine anyone to hell. On the other extreme, those who argue for universalism, though appealing to Scripture, often do so with questionable exegesis. (shrink)

The hole argument concludes that substantivalism about spacetime entails the radical indeterminism of the general theory of relativity (GR). In this paper, I amend and defend a response to the hole argument first proposed by Butterfield (1989) that relies on the idea of counterpart substantivalism. My amendment clarifies and develops the metaphysical presuppositions of counterpart substantivalism and its relation to various definitions of determinism. My defence consists of two claims. First, contra Weatherall (2018) and others: the hole argument is (...) not a blunder resulting from a mistaken view on how mathematical physics works, and requires a developed (meta)metaphysical response. Second, contra Melia (1999) and others: one can be content with a notion of determinism for GR which is not sensitive to merely haecceitistic differences. (shrink)

Determinism, Freedom, and Moral Responsibility brings together nine substantial essays on determinism, freedom, and moral responsibility in antiquity by Susanne Bobzien. The essays present the main ancient theories on these subjects, ranging historically from Aristotle followed by the Epicureans, the early Stoics, several later Stoics, and up to Alexander of Aphrodisias in the third century CE. -/- The author discusses questions about rational and autonomous human agency and their compatibility with a large range of important philosophical issues, including (...) their compatibility with divine predetermination and other theological questions; with atomism and continuum theory and with the physical sciences more generally; with the determination of character and its development from childhood through nature and nurture; with epistemic features such as ignorance of circumstances; with theories of necessity, possibility and contingency; with external or internal preceding causes and impediments; and with folk theories of fatalism. Room is also given to the questions of how human autonomous agency is related to moral development, to virtue and wisdom, and to blame and praise. -/- Historically unified, philosophically profound, and methodologically rigorous, Bobzien’s essays show that in Classical and Hellenistic philosophy these topics were all debated without reference to freedom to do otherwise or to a free will, and that the latter two notions were fully developed only later. The volume will be of interest both to philosophers and to historians of philosophy, with more than half of the essays accessible to advanced undergraduates. (shrink)

Haji argues that determinism threatens deontic morality, not via a threat to moral responsibility, but directly, because of the principle that ‘ought’ implies ‘can’. Haji’s argument requires not only that we embrace an ‘ought’ implies ‘can’ principle, but also that we adopt the principle that ‘ought’ implies ‘able not to’. I argue that we have little reason to adopt the latter principle, and examine whether deontic morality might be destroyed on the basis of the more commonly embraced ‘ought’ implies (...) ‘can’ principle alone. I argue that despite what look like initially compelling reasons why we might suppose that this weaker conclusion is similarly destructive to deontic morality, we actually have good reason to doubt that it has any practical relevance for moral deliberation at all. (shrink)

This book casts new light on the classic dispute between `compatibilists' and `incompatibilists' about determinism and moral responsibility. Martha Klein argues that the traditional account of the dispute, turning as it does on the notion of the agent's `ability to have acted otherwise',misrepresents the real disagreement, which arises from the compatibilists' conviction that it is sufficient for blameworthiness that an agent's wrongdoing was the result of a morally reprehensible frame of mind, and the incompatibilists' insistence that wrongdoers cannot be (...) morally responsible fortheir actions if they are not responsible for their motivating desires and beliefs. The incompatibilist position seems compelling when, for instance, we consider wrongdoers whose desires and attitudes can be traced to early emotional deprivation. The author argues that our response to these andother `problem cases' commits us to an incompatibilist condition for blameworthiness which is actually unfulfillable. In her view, however, some reflections on emotional deprivation should also encourage acceptance of a compatibilist condition which will satisfy our desire to be just more fully thanthe usual proposals emanating from either side of the debate. (shrink)

This article illustrates in which sense genetic determinism is still part of the contemporary interactionist consensus in medicine. Three dimensions of this consensus are discussed: kinds of causes, a continuum of traits ranging from monogenetic diseases to car accidents, and different kinds of determination due to different norms of reaction. On this basis, this article explicates in which sense the interactionist consensus presupposes the innate?acquired distinction. After a descriptive Part 1, Part 2 reviews why the innate?acquired distinction is under (...) attack in contemporary philosophy of biology. Three arguments are then presented to provide a limited and pragmatic defense of the distinction: an epistemic, a conceptual, and a historical argument. If interpreted in a certain manner, and if the pragmatic goals of prevention and treatment are taken into account, then the innate?acquired distinction can be a useful epistemic tool. It can help, first, to understand that genetic determination does not mean fatalism, and, second, to maintain a system of checks and balances in the continuing nature?nurture debates. (shrink)

We clarify the status of the so-called causal minimality condition in the theory of causal Bayesian networks, which has received much attention in the recent literature on the epistemology of causation. In doing so, we argue that the condition is well motivated in the interventionist (or manipulability) account of causation, assuming the causal Markov condition which is essential to the semantics of causal Bayesian networks. Our argument has two parts. First, we show that the causal minimality condition, rather than an (...) add-on methodological assumption of simplicity, necessarily follows from the substantive interventionist theses, provided that the actual probability distribution is strictly positive. Second, we demonstrate that the causal minimality condition can fail when the actual probability distribution is not positive, as is the case in the presence of deterministic relationships. But we argue that the interventionist account still entails a pragmatic justification of the causal minimality condition. Our argument in the second part exemplifies a general perspective that we think commendable: when evaluating methods for inferring causal structures and their underlying assumptions, it is relevant to consider how the inferred causal structure will be subsequently used for counterfactual reasoning. (shrink)

This article illustrates in which sense genetic determinism is still part of the contemporary interactionist consensus in medicine. Three dimensions of this consensus are discussed: kinds of causes, a continuum of traits ranging from monogenetic diseases to car accidents, and different kinds of determination due to different norms of reaction. On this basis, this article explicates in which sense the interactionist consensus presupposes the innate?acquired distinction. After a descriptive Part 1, Part 2 reviews why the innate?acquired distinction is under (...) attack in contemporary philosophy of biology. Three arguments are then presented to provide a limited and pragmatic defense of the distinction: an epistemic, a conceptual, and a historical argument. If interpreted in a certain manner, and if the pragmatic goals of prevention and treatment (ideally specifying what medicine and health care is all about) are taken into account, then the innate?acquired distinction can be a useful epistemic tool. It can help, first, to understand that genetic determination does not mean fatalism, and, second, to maintain a system of checks and balances in the continuing nature?nurture debates. (shrink)

It has been argued that in a deterministic universe, no one has any reason to do anything. Since we ought to do what we have most reason to do, no one ought to do anything either. Firstly, it is argued that an agent cannot have reason to do anything unless she can do otherwise; secondly, that the relevant ‘can’ is incompatibilist. In this paper, I argue that even if the first step of the argument for reason incompatibilism succeeds, the second (...) one does not. It is argued that reasons require alternative possibilities, because reasons are action-guiding. A supposed reason to do the impossible, or to do what was inevitable anyway, could not fill this function. I discuss different interpretations of the claim that reasons are action-guiding, and show that according to one interpretation it is sufficient that the agent believes that she has several alternative options. According to other interpretations, the agent must really have alternative options, but only in a compatibilist sense. I suggest that an interpretation of action-guidance according to which reasons can only guide actions when we have several options open to us in an incompatibilist sense cannot be found. We should therefore assume that reasons and obligations are compatible with determinism. (shrink)

The studies we report indicate that it is possible to manipulate explicit ascriptions of consciousness by manipulating whether an agent’s behavior is deterministically caused. In addition, we explore whether this impact of determinism on consciousness is direct, or mediated by notions linked to agency – notions like moral responsibility, free will, deliberate choice, and sensitivity to moral reasons. We provide evidence of mediation. This result extends work on attributions of consciousness and their connection to attributions of agency by Adam (...) Arico, Brian Fiala, and Shaun Nichols (Arico et al. 2011, Fiala et al. 2014) and supports it against recent criticisms (e.g., Sytsma 2014). (shrink)

The Consequence argument is an argument from plausible premises–our lack of causal power over the laws and past–to an implausible conclusion: that if determinism is true, we are equally powerless with respect to the future. What the compatibilist needs is a theory of counterfactuals that preserves the links between counterfactuals, causation, and the natural laws in a way that supports our commonsense belief that we have the power to make a causal difference to the future but no such power (...) with respect to the past. Lewis’s critique of the Consequence argument was based on his theory of counterfactuals and his analysis of causation as a counterfactual relation between particular events. He argued that, at a world that is deterministic in the way that ours might be, counterfactuals are temporally asymmetric in a way that matches the contingent temporal asymmetry of cauation. So it is not surprising, but only to be expected, that the past is causally closed while the future is causally open. If this worked, it would be just what the compatibilist needs. But it doesn’t work. There is an argument, due to Tooley and recently endorsed by Wasserman, that a fundamental feature of Lewis’s theory of counterfactuals is inconsistent with the metaphysical possibility of time travel and backwards causation. If this is right, then Lewis’s response to the Consequence argument fails. I endorse this conclusion, but argue that there is a better theory of counterfactuals–a theory that leaves open the metaphysical possibility of time travel to the past and backwards causation. (shrink)

This paper offers a new argument for compatibilism about moral responsibility by drawing attention to some overlooked implications of incompatibilism. More specifically, I argue that incompatibilists are committed to some unsavory claims about pairs of agents in deterministic worlds. These include comparative claims about moral responsibility, blameworthiness, desert, punishment, and the fittingness of reactive attitudes. I argue that we have good reasons to reject such comparisons because they fail to account for key differences between deterministic agents. This provides us with (...) reason to embrace compatibilism and reject incompatibilism. (shrink)

In this paper, a concept of chance is introduced that is compatible with deterministic physical laws, yet does justice to our use of chance-talk in connection with typical games of chance. We take our cue from what Poincaré called "the method of arbitrary functions," and elaborate upon a suggestion made by Savage in connection with this. Comparison is made between this notion of chance, and David Lewis' conception.

_One summary of the great Kant's view, to the extent that it can be summed up, is_ _that he takes determinism to be a kind of fact, and indeterminism to be another kind_ _of fact, and our freedom to be a fact too -- but takes this situation to have nothing to_ _do with the kind of compatibility of determinism and freedom proclaimed by such_ _Compatibilists as Hobbes and Hume. Thus Kant does not make freedom consistent_ _with (...) class='Hi'>determinism by taking up a definition of freedom as voluntariness -- at bottom,_ _being able to do what you want. This he dismisses as a wretched subterfuge,_ _quibbling about words. Rather, the freedom he seeks to make consistent with_ _determinism does indeed seem to be the freedom of the Incompatibilists --_ _origination. Is he then an Incompatibilist? Well, against that, it can be said he does_ _not allow the existence of origination in what can be called the world we know, as_ _Incompatibilists certainly do._. (shrink)

A deterministic model that accounts for the statistical behavior of random samples of identical particles is presented. The model is based on some nonmeasurable distribution of spin values in all directions. The mathematical existence of such distributions is proved by set-theoretical techniques, and the relation between these distributions and observed frequencies is explored within an appropriate extension of probability theory. The relation between quantum mechanics and the model is specified. The model is shown to be consistent with known polarization phenomena (...) and the existence of macroscopic magnetism. Finally.. (shrink)

A deterministic weakening \ of the Belnap–Dunn four-valued logic \ is introduced to formalize the acceptance and rejection of a proposition at a state in a linearly ordered informational frame with persistent valuations. The logic \ is formalized as a sequent calculus. The completeness and decidability of \ with respect to relational semantics are shown in terms of normal forms. From an algebraic perspective, the class of all algebras for \ is described, and found to be a subvariety of Berman’s (...) variety \. Every linearly ordered frame is logically equivalent to its dual algebra. It is proved that \ is the logic of a nine-element distributive lattice with a negation. Moreover, \ is embedded into \ by Glivenko’s double-negation translation. (shrink)

In this paper I consider the view, held by some Thomistic thinkers, that divine determinism is compatible with human freedom, even though natural determinism is not. After examining the purported differences between divine and natural determinism, I discuss the Consequence Argument, which has been put forward to establish the incompatibility of natural determinism and human freedom. The Consequence Argument, I note, hinges on the premise that an action ultimately determined by factors outside of the actor’s control (...) is not free. Since, I argue, divine determinism also entails that human actions are ultimately determined by factors outside of the actors’ control, I suggest that a parallel argument to the Consequence Argument can be constructed for the incompatibility of divine determinism and human freedom. I conclude that those who reject natural compatibilism on the basis of the Consequence Argument should also reject divine compatibilism. (shrink)

On the face of it ‘deterministic chance’ is an oxymoron: either an event is chancy or deterministic, but not both. Nevertheless, the world is rife with events that seem to be exactly that: chancy and deterministic at once. Simple gambling devices like coins and dice are cases in point. On the one hand they are governed by deterministic laws – the laws of classical mechanics – and hence given the initial condition of, say, a coin toss it is determined whether (...) it will land heads or tails.2 On the other hand, we commonly assign probabilities to the different outcomes a coin toss, and doing so has proven successful in guiding our actions. The same dilemma also emerges in less mundane contexts. Classical statistical mechanics (which is still an important part of modern physics) assigns probabilities to the occurrence of certain events – for instance to the spreading of a gas that is originally confined to the left half of a container – but at the same time assumes that the relevant systems are deterministic. How can this apparent conflict be resolved? (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)

The proper limit to paternalist regulation of citizens' private lives is a recurring theme in political theory and ethics. In the present study, we examine the role of beliefs about free will and determinism in attitudes toward libertarian versus paternalist policies. Throughout five studies we find that a scientific deterministic worldview reduces opposition toward paternalist policies, independent of the putative influence of political ideology. We suggest that exposure to scientific explanations for patterns in human behavior challenges the notion of (...) personal autonomy and, in turn, undermines libertarian arguments against state paternalism appealing to autonomy and personal choice. (shrink)

The question of Spinozist determinism and necessitarianism have been extensively studied by commentators, while the relationship between the notions of divine will and free will still requires elaborate studies. Our article seeks to contribute to such research, by clarifying the analyses of these questions by authors that Spinoza has confronted: Maimonides, as well as other Jewish philosophers, and Leibniz who criticized Spinozist determinism. We will study the consequences of these analyses on two examples that Spinoza gave to refute (...) free will, namely the dream and the situation of Buridan's ass. -/- Résumé: La question du déterminisme spinoziste et du nécessitarisme a été largement étu-diée par les commentateurs, tandis que la relation entre les notions de volonté divine et de libre arbitre nécessite encore des études plus élaborées. Notre article cherche à contribuer à ces recherches, en clarifiant les analyses de ces questions par des auteurs auxquels Spinoza s’est confronté : Maïmonide, ainsi que d’autres philosophes juifs, et Leibniz qui a lui-même critiqué le déterminisme spinoziste. Nous étudierons les conséquences de ces analyses sur deux exemples que Spinoza a donnés pour réfuter le libre arbitre, à savoir le rêve et la situa-tion de l’âne de Buridan. (shrink)