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)

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)

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)

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.

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.

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)

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)

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.

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)

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)

I argue that free will and determinism are compatible, even when we take free will to require the ability to do otherwise and even when we interpret that ability modally, as the possibility of doing otherwise, and not just conditionally or dispositionally. My argument draws on a distinction between physical and agential possibility. Although in a deterministic world only one future sequence of events is physically possible for each state of the world, the more coarsely defined state of an (...) agent and his or her environment can be consistent with more than one such sequence, and thus different actions can be “agentially possible”. The agential perspective is supported by our best theories of human behaviour, and so we should take it at face value when we refer to what an agent can and cannot do. On the picture I defend, free will is not a physical phenomenon, but a higher-level one on a par with other higher-level phenomena such as agency and intentionality. (shrink)

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)

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)

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.

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)

_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)

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)

The central question of this paper is: are deterministic and indeterministic descriptions observationally equivalent in the sense that they give the same predictions? I tackle this question for measure-theoretic deterministic systems and stochastic processes, both of which are ubiquitous in science. I first show that for many measure-theoretic deterministic systems there is a stochastic process which is observationally equivalent to the deterministic system. Conversely, I show that for all stochastic processes there is a measure-theoretic deterministic system which is observationally equivalent (...) to the stochastic process. Still, one might guess that the measure-theoretic deterministic systems which are observationally equivalent to stochastic processes used in science do not include any deterministic systems used in science. I argue that this is not so because deterministic systems used in science even give rise to Bernoulli processes. Despite this, one might guess that measure-theoretic deterministic systems used in science cannot give the same predictions at every observation level as stochastic processes used in science. By proving results in ergodic theory, I show that also this guess is misguided: there are several deterministic systems used in science which give the same predictions at every observation level as Markov processes. All these results show that measure-theoretic deterministic systems and stochastic processes are observationally equivalent more often than one might perhaps expect. Furthermore, I criticise the claims of the previous philosophy papers Suppes (1993, 1999), Suppes and de Barros (1996) and Winnie (1998) on observational equivalence. (shrink)

The article puts forward a branching-style framework for the analysis of determinism and indeterminism of scientific theories, starting from the core idea that an indeterministic system is one whose present allows for more than one alternative possible future. We describe how a definition of determinism stated in terms of branching models supplements and improves current treatments of determinism of theories of physics. In these treatments, we identify three main approaches: one based on the study of equations, one (...) based on mappings between temporal realizations, and one based on branching models. We first give an overview of these approaches and show that current orthodoxy advocates a combination of the mapping- and the equations-based approaches. After giving a detailed formal explication of a branching-based definition of determinism, we consider three concrete applications and end with a formal comparison of the branching- and the mapping-based approach. We conclude that the branching-based definition of determinism most usefully combines formal clarity, connection with an underlying philosophical notion of determinism, and relevance for the practical assessment of theories. 1 Introduction2 Determinism in Philosophy of Science: Three Approaches2.1 Determinism: The core idea and how to spell it out2.2 The three approaches in more detail2.3 Representing indeterminism3 Orthodoxy: DMAP, with Invocations of DEQN4 Branching-Style Determinism 4.1 Models and realizations4.2 Faithfulness4.3 Two types of branching topologies 5 Comparing the Approaches5.1 Case studies5.2 Formal comparison of the DMAP and DBRN frameworks6 Conclusions. (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)

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)

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)

While standard procedures of causal reasoning as procedures analyzing causal Bayesian networks are custom-built for (non-deterministic) probabilistic struc- tures, this paper introduces a Boolean procedure that uncovers deterministic causal structures. Contrary to existing Boolean methodologies, the procedure advanced here successfully analyzes structures of arbitrary complexity. It roughly involves three parts: first, deterministic dependencies are identified in the data; second, these dependencies are suitably minimalized in order to eliminate redundancies; and third, one or—in case of ambiguities—more than one causal structure is (...) assigned to the minimalized deterministic dependencies. (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)

Twenty-first-century biology rejects genetic determinism, yet an exaggerated view of the power of genes in the making of bodies and minds remains a problem. What accounts for such tenacity? This article reports an exploratory study suggesting that the common reliance on Mendelian examples and concepts at the start of teaching in basic genetics is an eliminable source of support for determinism. Undergraduate students who attended a standard ‘Mendelian approach’ university course in introductory genetics on average showed no change (...) in their determinist views about genes. By contrast, students who attended an alternative course which, inspired by the work of a critic of early Mendelism, W. F. R. Weldon, replaced an emphasis on Mendel’s peas with an emphasis on developmental contexts and their role in bringing about phenotypic variability, were less determinist about genes by the end of teaching. Improvements in both the new Weldonian curriculum and the study design are in view for the future. (shrink)

This article surveys the difficulties in establishing determinism for classical physics within the context of several distinct foundational approaches to the discipline. It explains that such problems commonly emerge due to a deeper problem of ‘missing physics'. The Problems of Formalism Norton's Example Three Species of Classical Mechanics 3.1 Mass point physics 3.2 The physics of perfect constraints 3.3 Continuum mechanics Conclusion CiteULike Connotea Del.icio.us What's this?

How can hard determinism deal with the need to punish, when coupled with the obligation to be just? I argue that even though hard determinists might find it morally permissible to incarcerate wrongdoers apart from lawful society, they are committed to the punishment’s taking a very different form from common practice in contemporary Western societies. Hard determinists are in fact committed to what I will call funishment, instead of punishment. But, by its nature funishment is a practical reductio of (...) hard determinism: it makes implementing hard determinism impossible to contemplate. Indeed, the social practices that hard determinism requires turn out to be morally bad even according to hard determinism itself. I conclude by briefly reflecting upon the implications. (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)

Scott Sehon recently argued that the standard notion of determinism employed in the Consequence Argument makes it so that, if our world turns out to be deterministic, then an interventionist God is logically impossible. He further argues that because of this, we should revise our notion of determinism. In this paper I show that Sehon’s argument for the claim that the truth of determinism, in this sense, would make an interventionist God logically impossible ultimately fails. I then (...) offer and respond to a weaker version of the argument for the claim that we should revise our notion of determinism. (shrink)

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)

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.

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)

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)

Largely due to the popular allegation that contemporary science has uncovered indeterminism in the deepest known levels of physical reality, the debate as to whether humans have moral freedom, the sort of freedom on which moral responsibility depends, has put aside to some extent the traditional worry over whether determinism is true. As I argue in this paper, however, there are powerful proofs for both chronological determinism and necessitarianism, forms of determinism that pose the most penetrative threat (...) to human moral freedom. My ultimate hope is to show that, despite the robust case against human moral freedom that can be made without even relying on them, chronological determinism and necessitarianism should be regarded with renewed urgency. (shrink)

In this paper we aim to disentangle the thesis that the future is open from theses that often get associated or even conflated with it. In particular, we argue that the open future thesis is compatible with both the unrestricted principle of bivalence and determinism with respect to the laws of nature. We also argue that whether or not the future (and indeed the past) is open has no consequences as to the existence of (past and) future ontology.

“Branching space-times” (BST) is intended as a representation of objective, event-based indeterminism. As such, BST exhibits both a spatio-temporal aspect and an indeterministic “modal” aspect of alternative possible historical courses of events. An essential feature of BST is that it can also represent spatial or space-like relationships as part of its (more or less) relativistic theory of spatio-temporal relations; this ability is essential for the representation of local (in contrast with “global”) indeterminism. This essay indicates how BST might be seen (...) to grow out of Newton’s deterministic and non-relativistic theory by two independent moves: (1) Taking account of indeterminism, and (2) attending to spatio-temporal relationships in a spirit derived from Einstein’s theory of special relativity. Since (1) and (2) are independent, one can see that there is room for four theories: Newtonian determinism, branching time indeterminism, relativistic determinism, and (finally) branching space-times indeterminism. (shrink)

It is often called “the problem of free will and determinism,” as if the only thing that might challenge free will is determinism and as if determinism is obviously a problem. The traditional debates about free will have proceeded accordingly. Typically, incompatibilists about free will and determinism suggest that their position is intuitive or commonsensical, such that compatibilists have the burden of showing how, despite appearances, the problem of determinism is not really a problem. Compatibilists, (...) in turn, tend to proceed as if showing that determinism is not a problem thereby shows that we have free will, as if determinism is the only thing that might threaten free will. In this chapter, I reject both of these elements of the traditional debate; the question of whether we have free will should neither begin nor end with the so-called problem of determinism. I present and discuss evidence from a variety of studies that suggests that incompatibilism is not particularly intuitive. Most people do not have to be talked out of incompatibilism but rather talked into it. This provides some reasons—though certainly not decisive reasons—to think that compatibilism is true. I conclude by pointing out that, even if compatibilism were true, it would not dissolve the problem of free will, because there are problems other than determinism that need to be confronted—namely, challenges to free will suggested by current and “future science,” including neuroscience and psychology. The threats to free will suggested by these sciences are distinct from the traditional threat of determinism, and they are the ones that “ordinary persons” find intuitively threatening to free will. In fact, I will argue that the reason incompatibilism about free will and determinism appears to be intuitive is that determinism is often and easily misunderstood to involve these distinct threats to free will—threats that suggest that our rational, conscious mental activity is bypassed in the process of our making decisions and coming to act. (shrink)

Theological determinism is, at first glance, difficult to square with the typical Christian commitment to the appropriateness of divine blame. How, we may wonder, can it be appropriate for God to blame someone for something that was determined to occur by God in the first place? In this paper, I try to clarify this challenge to Christian theological determinism, arguing that its most cogent version includes specific commitments about what is involved when God blames wrongdoers. I then argue (...) that these commitments are not essential to divine blame, and that there are plausible alternative accounts of such blame that would not court similar challenges. I end with a case for the intelligibility of divine blame within theological determinism, in light of its possible similarity in relevant respects to certain instances of intelligible human blame. (shrink)

We show by way of example how one can provide in a lot of cases simple modular semantics for rules of inference, so that the semantics of a system is obtained by joining the semantics of its rules in the most straightforward way. Our main tool for this task is the use of finite Nmatrices, which are multi-valued structures in which the value assigned by a valuation to a complex formula can be chosen non-deterministically out of a certain nonempty set (...) of options. The method is applied in the area of logics with a formal consistency operator (known as LFIs), allowing us to provide in a modular way effective, finite semantics for thousands of different LFIs. (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)

Some recent studies have suggested that belief in determinism tends to undermine moral motivation: subjects who are given determinist texts to read become more likely to cheat or engage in vindictive behaviour. One possible explanation is that people are natural incompatibilists, so that convincing them of determinism undermines their belief that they are morally responsible. I suggest a different explanation, and in doing so try to shed some light on the phenomenology of free will. I contend that one (...) aspect of the phenomenology is our impression that maintaining a resolution requires effort—an impression well supported by a range of psychological data. Determinism can easily be interpreted as showing that such effort will be futile: in effect determinism is conflated with fatalism, in a way that is reminiscent of the Lazy argument used against the Stoics. If this interpretation is right, it explains how belief in determinism undermines moral motivation without needing to attribute sophisticated incompatibilist beliefs to subjects; it works by undermining subjects' self-efficacy. It also provides indirect support for the contention that this is one of the sources of the phenomenology of free will. (shrink)

Common wisdom holds that communication is impossible when messages are costless and communicators have totally opposed interests. This article demonstrates that such wisdom is false. Non-convergent dynamics can sustain partial information transfer even in a zero-sum signalling game. In particular, I investigate a signalling game in which messages are free, the state-act payoffs resemble rock–paper–scissors, and senders and receivers adjust their strategies according to the replicator dynamic. This system exhibits Hamiltonian chaos and trajectories do not converge to equilibria. This persistent (...) out-of-equilibrium behaviour results in messages that do not perfectly reveal the sender's private information, but do transfer information as quantified by the Kullback–Leibler divergence. This finding shows that adaptive dynamics can enable information transmission even though messages at equilibria are meaningless. This suggests a new explanation for the evolution or spontaneous emergence of meaning: non-convergent adaptive dynamics. (shrink)

The guiding question of this paper is: how similar are deterministic descriptions and indeterministic descriptions from a predictive viewpoint? The deterministic and indeterministic descriptions of concern in this paper are measure-theoretic deterministic systems and stochastic processes, respectively. I will explain intuitively some mathematical results which show that measure-theoretic deterministic systems and stochastic processes give more often the same predictions than one might perhaps have expected, and hence that from a predictive viewpoint these descriptions are quite similar.

Scott Sehon argues that the conception of determinism employed in the Consequence Argument is implausible because it rules out the logical possibility of the laws of nature being violated. Sehon says, for instance, that determinism is incompatible with the logical possibility of an interventionist God. His objection to the Consequence Argument boils down to a way of reading the box in what is implied by van Inwagen's conception of determinism. Sehon reads the box as logical necessity, and (...) this clearly precludes the logical possibility of the laws of nature being violated. However, I argue that determinism as employed in the argument is not implausible. First, I try to show that it is legitimate to read the box of □ as either metaphysical or logical necessity depending on the account of laws that one assumes. If one accepts a fully Humean account of laws, then the box should be read as logical necessity. Nevertheless, I argue that this is not a problem for the Humean. On the other hand, if one reads the box as metaphysical necessity, which is mainly motivated by the dispositional account of laws and might be motivated by Armstrong's account, then determinism is compatible with the logical possibility of the laws being violated. (shrink)