In this chapter I consider various potential challenges to free will from the modern mind sciences. After motivating the importance of considering these challenges, I outline the argument structure for such challenges: they require simultaneously establishing a particular condition for free will and an empirical challenge to that condition. I consider several potential challenges: determinism, naturalism, and epiphenomenalism, and explain why none of these philosophical challenges is bolstered by new discoveries from neuroscience and psychology. I then respond to relevant empirical (...) challenges to the role of consciousness and rationality in action. (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)

While philosophers and scientists sometimes suggest (or take for granted) that consciousness is an essential condition for free will and moral responsibility, there is surprisingly little discussion of why consciousness (and what sorts of conscious experience) is important. We discuss some of the proposals that have been offered. We then discuss our studies using descriptions of humanoid robots to explore people’s attributions of free will and responsibility, of various kinds of conscious sensations and emotions, and of reasoning capacities, and examine (...) the relationships between these attributions. Our initial results suggest that people’s attributions of free will are strongly influenced by their attributions of conscious emotions, such as happiness and disappointment, including Strawsonian emotions, such as pride and regret. These results provide some support for an intriguing proposal: Free will requires the capacity to make decisions that really matter to the agent, and for anything to really matter to the agent, she must be able to consciously experience the good and bad effects of the decisions she makes—to suffer and regret, or to enjoy and feel proud of, their outcomes. (shrink)

Philosophers working in the nascent field of ‘experimental philosophy’ have begun using methods borrowed from psychology to collect data about folk intuitions concerning debates ranging from action theory to ethics to epistemology. In this paper we present the results of our attempts to apply this approach to the free will debate, in which philosophers on opposing sides claim that their view best accounts for and accords with folk intuitions. After discussing the motivation for such research, we describe our methodology of (...) surveying people’s prephilosophical judgments about the freedom and responsibility of agents in deterministic scenarios. In two studies, we found that a majority of participants judged that such agents act of their own free will and are morally responsible for their actions. We then discuss the philosophical implications of our results as well as various difficulties inherent in such research. (shrink)

To address the underrepresentation of women in philosophy effectively, we must understand the causes of the early loss of women. In this paper we challenge one of the few explanations that has focused on why women might leave philosophy at early stages. Wesley Buckwalter and Stephen Stich offer some evidence that women have different intuitions than men about philosophical thought experiments. We present some concerns about their evidence and we discuss our own study, in which we attempted to replicate their (...) results for 23 different responses to 14 scenarios . We also conducted a literature search to see if other philosophers or psychologists have tested for gender differences in philosophical intuitions. Based on our findings, we argue that that it is unlikely that gender differences in intuitions play a significant role in driving women from philosophy. (shrink)

Philosophers often suggest that their theories of free will are supported by our phenomenology. Just as their theories conflict, their descriptions of the phenomenology of free will often conflict as well. We suggest that this should motivate an effort to study the phenomenology of free will in a more systematic way that goes beyond merely the introspective reports of the philosophers themselves. After presenting three disputes about the phenomenology of free will, we survey the (limited) psychological research on the experiences (...) relevant to the philosophical debates and then describe some pilot studies of our own with the aim of encouraging further research. The data seem to support compatibilist descriptions of the phenomenology more than libertarian descriptions. We conclude that the burden is on libertarians to find empirical support for their more demanding metaphysical theories with their more controversial phenomenological claims. (shrink)

This chapter contains sections titled: References.

My initial work, with collaborators Stephen Morris, Thomas Nadelhoffer, and Jason Turner (2005, 2006), on surveying folk intuitions about free will and moral responsibility was designed primarily to test a common claim in the philosophical debates: that ordinary people see an obvious conflict between determinism and both free will and moral responsibility, and hence, the burden is on compatibilists to motivate their theory in a way that explains away or overcomes this intuitive support for incompatibilism. The evidence, if any, offered (...) by philosophers to support the claim that incompatibilism is intuitive has consisted of reports of their own intuitions or informal polls of their students. We were skeptical about the reliability of such evidence, so we used the methodology--”now associated with the label 'experimental philosophy'--”of conducting formal surveys on non-philosophers. Our participants read a scenario that describes a deterministic universe and were then asked to judge whether agents in those scenarios act of their own free will and are morally responsible for their actions. Using three different scenarios with hundreds of participants, we consistently found that the majority (2/3 to 4/5) responded that agents in deterministic universes do act of their own free will and are morally responsible. That is, we found that most ordinary folk do not seem to find incompatibilism intuitive or obviously correct. Our results have been challenged in various ways, philosophical and methodological. For instance, Shaun Nichols (2004, this volume) and Nichols and Joshua Knobe (unpublished) offer some experimental evidence suggesting that, in certain conditions, most people express incompatibilist and libertarian intuitions. I will respond to this work in the following section. I agree that people express conflicting intuitions about free will (after all, we consistently found a minority of participants expressing incompatibilist. (shrink)

Incompatibilists believe free will is impossible if determinism is true, and they often claim that this view is supported by ordinary intuitions. We challenge the claim that incompatibilism is intuitive to most laypersons and discuss the significance of this challenge to the free will debate. After explaining why incompatibilists should want their view to accord with pretheoretical intuitions, we suggest that determining whether incompatibilism is in fact intuitive calls for empirical testing. We then present the results of our studies, which (...) put significant pressure on the claim that incompatibilism is intuitive. Finally, we consider and respond to several potential objections to our approach. (shrink)

I offer analyses of free will in terms of a complex set of psychological capacities agents possess to varying degrees and have varying degrees of opportunities to exercise effectively, focusing on the under-appreciated but essential capacities for imagination. For an agent to have free will is for her to possess the psychological capacities to make decisions—to imagine alternatives for action, to select among them, and to control her actions accordingly—such that she is the author of her actions and can deserve (...) credit or blame for them. For an agent to act of her own free will is for her to have had (reasonable) opportunity to exercise these capacities in making her decision and acting. There is a long philosophical tradition of treating free will as the set of capacities that, when properly functioning, allow us to make decisions that contribute to our leading a good or flourishing life. On this view, free will is a psychological accomplishment. Free will allows us to be the causal source of our actions in a way that is compatible with determinism and naturalism. (shrink)

We argue, contra Joshua Knobe in a companion chapter, that most people have an understanding of free will and responsible agency that is compatible with a naturalistic vision of the human mind. Our argument is supported by results from a new experimental philosophy study showing that most people think free will is consistent with complete and perfect prediction of decisions and actions based on prior activity in the brain (a scenario adapted from Sam Harris who predicts most people will find (...) it inconsistent with free will). We explain why most people are "theory-lite" about the nature of mind and free will--they are not committed to substantive theories of the underlying causal structure of mind, such as Knobe's "transcendence vision". Rather, we suggest a "causal competition principle"--that an agent's actions will be deemed unfree when they are perceived to be fully caused by factors that do not include her reasons. This principle explains why people, including some scientists, perceive neuroscientific explanations as threatening free will when they are described in terms of neural processes fully causing actions to the exclusion of agents' reasons or reasoning processes. (shrink)

Daniel Wegner argues that conscious will is an illusion. I examine the adequacy of his theory of apparent mental causation and whether, if accurate, it suggests that our experience of agency and authorship should be considered illusory. I examine various interpretations of this claim and raise problems for each interpretation. I also distinguish between the experiences of agency and authorship.

Doctors must now take a fifth vital sign from their patients: pain reports. I use this as a case study to discuss how different schools of psychology (introspectionism, behaviorism, cognitive psychology) have treated verbal reports about the contents of consciousness. After examining these differences, I suggest that, with new methods of mapping data about neurobiological states with behavioral data and with verbal reports about conscious experience, we should reconsider some of the introspectionists' goals and methods. I discuss examples from cognitive (...) psychology, including pain researchers' attempts to develop self-reports of pain so that they can be, like other vital signs, reliable indicators of internal states. (shrink)

Two intuitions lie at the heart of our conception of free will. One intuition locates free will in our ability to deliberate effectively and control our actions accordingly: the ‘Deliberation and Control’ (DC) condition. The other intuition is that free will requires the existence of alternative possibilities for choice: the AP condition. These intuitions seem to conflict when, for instance, we deliberate well to decide what to do, and we do not want it to be possible to act in some (...) other way. I suggest that intuitions about the AP condition arise when we face ‘close calls,’ situations in which, after deliberating, we still do not know what we really want to do. Indeed, several incompatibilists suggest such close calls are necessary for free will. I challenge this suggestion by describing a ‘confident agent’ who, after deliberating, always feels confident about what to do (and can then control her actions accordingly). Because she maximally satisfies the DC condition, she does not face close calls, and the intuition that the AP condition is essential for free will does not seem to apply to her. I conclude that intuitions about the importance of the AP condition rest on our experiences of close calls and arise precisely to the extent that our deliberations fail to arrive at a clear decision. I then raise and respond to several objections to this thought experiment and its relevance to the free will debate. (shrink)

This chapter discusses how research in situationist social psychology may pose largely undiscussed threats to autonomous agency, free will, and moral responsibility.

Marcelo Fischborn discusses the significance of neuroscience for debates about free will. Although he concedes that, to date, Libet-style experiments have failed to threaten “libertarian free will”, he argues that, in principle, neuroscience and psychology could do so by supporting local determinism. We argue that, in principle, Libet-style experiments cannot succeed in disproving or even establishing serious doubt about libertarian free will. First, we contend that “local determination”, as Fischborn outlines it, is not a coherent concept. Moreover, determinism is unlikely (...) to be established by neuroscience in any form that should trouble compatibilists or libertarians—that is, anyone who thinks we might have free will. We conclude that, in principle, neuroscience will not be able undermine libertarian free will and explain why these conclusions support a coherent compatibilist notion of causal sourcehood. (shrink)

I argue that the traditional free will debate has focused too much on whether free will is compatible with determinism and not enough on whether free will is compatible with specific causal explanations for our actions, including those offered by empirical psychology. If free will is understood as a set of cognitive and volitional capacities, possessed and exercised to varying degrees, then psychology can inform us about the extent to which humans (as a species and as individuals) possess those capacities (...) and manage to exercise them across various situations. While recent work on the role of consciousness in action has been misinterpreted to suggest its role is illusory, recent work in social psychology presents a more viable challenge to our free will. The extent to which we can act on reasons we would accept or can know why we are doing what we do appears to be much less than we presume. Further work is necessary, of course, and it will need to involve both philosophical analysis and psychological investigation. Questions regarding the nature of human freedom and responsibility clearly require the conceptual resources of philosophy and the empirical resources of psychology. (This chapter was written in 2008 for the never published Oxford Handbook on Philosophy of Psychology.). (shrink)

Philosophical debates about free will have focused on determinism—a potential ‘threat from behind’ because determinism entails that there are conditions in the distant past that, in accord with the laws of nature, are sufficient for all of our decisions. Neuroscience is consistent with indeterminism, so it is better understood as posing a ‘threat from below’: If our decision-making processes are carried out by neural processes, then it might seem that our decisions are not based on our prior conscious deliberations or (...) reasoning. The response to this threat will require a neurophilosophical theory of mind that makes sense of the causal role of our conscious reasons and reasoning. Without such a theory, our conscious self seems bypassed by the neural processes in our brains, and this view seems to explain why many scientists assume that neuroscience challenges free will. However, I argue that most people are amenable to the possibility of a future theory of mind that is physicalist (if not reductionist), yet preserves much of our ordinary experience and understanding of conscious decision-making and self-control. I outline such a theory using the resources of causal interventionism. I argue that this view is best understood as a minimal revision to our understanding of free will, rather than an elimination of it. And I argue that this view has more reasonable and effective implications for our moral and legal practices than an eliminativist or skeptical theory of free will. (shrink)

Free will is a set of capacities for conscious choice and control of actions and is essential for moral responsibility. While determinism is traditionally discussed as the main potential challenge to free will and responsibility, other potential challenges exist and need to be considered by philosophers and scientists. The cognitive sciences are relevant to free will both to study how people understand free will and potential challenges to it, and to study whether these challenges are supported by relevant scientific evidence.

In The illusion of conscious will , Daniel Wegner offers an exciting, informative, and potentially threatening treatise on the psychology of action. I offer several interpretations of the thesis that conscious will is an illusion. The one Wegner seems to suggest is "modular epiphenomenalism": conscious experience of will is produced by a brain system distinct from the system that produces action; it interprets our behavior but does not, as it seems to us, cause it. I argue that the evidence Wegner (...) presents to support this theory, though fascinating, is inconclusive and, in any case, he has not shown that conscious will does not play a crucial causal role in planning, forming intentions, etc. This theory's potential blow to our self-conception turns out to be a glancing one. (shrink)

In this paper I tie together the reasoning used in the Consequence Argument with the intuitions that drive Frankfurt cases in a way that illuminates some of the underlying differences between compatibilists and incompatibilists. I begin by explaining the ‘basic mechanism’ at work in Frankfurt cases: the existence of sufficient conditions for an outcome that do not actually bring about that outcome. I suggest that other potential threats to free will, such as God’s foreknowledge, can be understood in terms of (...) this basic mechanism. I then turn to the Consequence argument, which concludes that determinism precludes free will, and I adopt the structure of this argument to create parallel ‘progeny’ arguments using the basic mechanism of Frankfurt cases. By thus forcing the Consequence argument and Frankfurt cases into such close proximity, we can see more clearly some of the crucial issues that separate incompatibilists and compatibilists. Doing so will illustrate that for determinism to be a threat to free will requires a particular conception of the laws of nature, one that is more specific and robust than suggested by the Consequence argument alone. I conclude by showing how these questions about laws of nature lead the free will debate towards the mind-body debate and questions about reductionism and supervenience. (shrink)

In this paper, we present the results of the construction and validation of a new psychometric tool for measuring beliefs about free will and related concepts: The Free Will Inventory (FWI). In its final form, FWI is a 29-item instrument with two parts. Part 1 consists of three 5-item subscales designed to measure strength of belief in free will, determinism, and dualism. Part 2 consists of a series of fourteen statements designed to further explore the complex network of people’s associated (...) beliefs and attitudes about free will, determinism, choice, the soul, predictability, responsibility, and punishment. Having presented the construction and validation of FWI, we discuss several ways that it could be used in future research, highlight some as yet unanswered questions that are ripe for interdisciplinary investigation, and encourage researchers to join us in our efforts to answer these questions. (shrink)

Experimental philosophy is the name for a recent movement whose participants use the methods of experimental psychology to probe the way people think about philosophical issues and then examine how the results of such studies bear on traditional philosophical debates. Given both the breadth of the research being carried out by experimental philosophers and the controversial nature of some of their central methodological assumptions, it is of no surprise that their work has recently come under attack. In this paper we (...) respond to some criticisms of experimental philosophy that have recently been put forward by Antti Kauppinen. Unlike the critics of experimental philosophy, we do not think the fledgling movement either will or should fall before it has even had a chance to rise up to explain what it is, what it seeks to do (and not to do), and exactly how it plans to do it. Filling in some of the salient details is the main goal of the present paper. (shrink)

Determinism is frequently understood as implying the possibility of perfect prediction. This possibility then functions as an assumption in the Manipulation Argument for the incompatibility of free will and determinism. Yet this assumption is mistaken. As a result, arguments that rely on it fail to show that determinism would rule out human free will. We explain why determinism does not imply the possibility of perfect prediction in any world with laws of nature like ours, since it would be impossible for (...) an agent to predict with certainty any future event that is causally influenced by events outside her own backward light cone yet inside the backward light cone of the future event. This is the _light-cone limit_ and it undermines the Manipulation Argument or limits what this argument can tell us about the relevance of determinism to free will. We also respond to objections that the light-cone limit is irrelevant to the Manipulation Argument. (shrink)

A critical review of Sam Harris' Free Will (2012).

First, we briefly familiarize the reader with the emerging field of “experimental philosophy,” in which philosophers use empirical methods, rather than armchair speculation, to ascertain laypersons’ intuitions about philosophical issues. Second, we discuss how the surveys used by experimental philosophers can serve as valuable pedagogical tools for teaching philosophy—independently of whether one believes surveying laypersons is an illuminating approach to doing philosophy. Giving students surveys that contain questions and thought experiments from philosophical debates gets them to actively engage with the (...) material and paves the way for more fruitful and impassioned classroom discussion. We offer some suggestions for how to use surveys in the classroom and provide an appendix that contains some examples of scenarios teachers could use in their courses. (shrink)

In a previous paper, I argued that neuroscience and psychology could in principle undermine libertarian free will by providing support for a subset of what I called “statements of local determination.” I also argued that Libet-style experiments have not so far supported statements of that sort. In a commentary to the paper, Adina Roskies and Eddy Nahmias accept the claim about Libet-style experiments, but reject the claim about the possibilities of neuroscience. Here, I explain why I still disagree (...) with their conclusion, despite being sympathetic to a lot of what they say in support of it. (shrink)

The Great Divide in metaphysical debates about laws of nature is between Humeans, who think that laws merely describe the distribution of matter, and non-Humeans, who think that laws govern it. The metaphysics can place demands on the proper formulations of physical theories. It is sometimes assumed that the governing view requires a fundamental / intrinsic direction of time: to govern, laws must be dynamical, producing later states of the world from earlier ones, in accord with the fundamental direction of (...) time in the universe. In this paper, we propose a minimal primitivism about laws of nature (MinP) according to which there is no such requirement. On our view, laws govern by constraining the physical possibilities. Our view captures the essence of the governing view without taking on extraneous commitments about the direction of time or dynamic production. Moreover, as a version of primitivism, our view requires no reduction / analysis of laws in terms of universals, powers, or dispositions. Our view accommodates several potential candidates for fundamental laws, including the principle of least action, the Past Hypothesis, the Einstein equation of general relativity, and even controversial examples found in the Wheeler-Feynman theory of electrodynamics and retrocausal theories of quantum mechanics. By understanding governing as constraining, non-Humeans who accept MinP have the same freedom to contemplate a wide variety of candidate fundamental laws as Humeans do. (shrink)

If the Past Hypothesis underlies the arrows of time, what is the status of the Past Hypothesis? In this paper, I examine the role of the Past Hypothesis in the Boltzmannian account and defend the view that the Past Hypothesis is a candidate fundamental law of nature. Such a view is known to be compatible with Humeanism about laws, but as I argue it is also supported by a minimal non-Humean "governing'' view. Some worries arise from the non-dynamical and time-dependent (...) character of the Past Hypothesis as a boundary condition, the intrinsic vagueness in its specification, and the nature of the initial probability distribution. I show that these worries do not have much force, and in any case they become less relevant in a new quantum framework for analyzing time's arrows---the Wentaculus. Hence, the view that the Past Hypothesis is a candidate fundamental law should be more widely accepted than it is now. (shrink)

In a quantum universe with a strong arrow of time, we postulate a low-entropy boundary condition to account for the temporal asymmetry. In this paper, I show that the Past Hypothesis also contains enough information to simplify the quantum ontology and define a unique initial condition in such a world. First, I introduce Density Matrix Realism, the thesis that the quantum universe is described by a fundamental density matrix that represents something objective. This stands in sharp contrast to Wave Function (...) Realism, the thesis that the quantum universe is described by a wave function that represents something objective. Second, I suggest that the Past Hypothesis is sufficient to determine a unique and simple density matrix. This is achieved by what I call the Initial Projection Hypothesis: the initial density matrix of the universe is the normalized projection onto the special low-dimensional Hilbert space. Third, because the initial quantum state is unique and simple, we have a strong case for the \emph{Nomological Thesis}: the initial quantum state of the universe is on a par with laws of nature. This new package of ideas has several interesting implications, including on the harmony between statistical mechanics and quantum mechanics, the dynamic unity of the universe and the subsystems, and the alleged conflict between Humean supervenience and quantum entanglement. (shrink)

A century after the discovery of quantum mechanics, the meaning of quantum mechanics still remains elusive. This is largely due to the puzzling nature of the wave function, the central object in quantum mechanics. If we are realists about quantum mechanics, how should we understand the wave function? What does it represent? What is its physical meaning? Answering these questions would improve our understanding of what it means to be a realist about quantum mechanics. In this survey article, I review (...) and compare several realist interpretations of the wave function. They fall into three categories: ontological interpretations, nomological interpretations, and the sui generis interpretation. For simplicity, I will focus on non-relativistic quantum mechanics. (shrink)

If there are fundamental laws of nature, can they fail to be exact? In this paper, I consider the possibility that some fundamental laws are vague. I call this phenomenon 'fundamental nomic vagueness.' I characterize fundamental nomic vagueness as the existence of borderline lawful worlds and the presence of several other accompanying features. Under certain assumptions, such vagueness prevents the fundamental physical theory from being completely expressible in the mathematical language. Moreover, I suggest that such vagueness can be regarded as (...) 'vagueness in the world.' For a case study, we turn to the Past Hypothesis, a postulate that (partially) explains the direction of time in our world. We have reasons to take it seriously as a candidate fundamental law of nature. Yet it is vague: it admits borderline (nomologically) possible worlds. An exact version would lead to an untraceable arbitrariness absent in any other fundamental laws. However, the dilemma between fundamental nomic vagueness and untraceable arbitrariness is dissolved in a new quantum theory of time's arrow. (shrink)

Eddy Nahmias and Dylan Murray have recently argued that when people take agents to lack responsibility in deterministic scenarios, they do so because they take agents’ beliefs, desires and decisions to be bypassed, having no effect on their actions. This might seem like an improbable mistake, but the Bypass Hypothesis is bolstered by intriguing experimental data. Moreover, if the hypothesis is correct, it provides a straightforward error theory for incompatibilist intuitions. This chapter argues that the Bypass Hypothesis, although (...) promising and potentially highly significant, does not provide the best explanation of the data. Results from two new studies strongly suggest that subjects with incompatibilist intuitions do not take determinism to imply that belief, desires, and decisions are bypassed. Together with an independently motivated account of judgments of moral responsibility, the Explanation Hypothesis, they instead suggest, first, that subjects have incompatibilist intuitions because they see agents in deterministic scenarios from an explanatory perspective in which mental states and decisions provide no independent input into what happens, and, second, that this explains why subjects seem to think that these states and decisions are causally bypassed. The results also undermine the suggestion, by David Rose and Shaun Nichols, that subjects make what seems like bypass judgments because they take determinism to exclude he existence of decisions. (shrink)

The mathematical structure of realist quantum theories has given rise to a debate about how our ordinary 3-dimensional space is related to the 3N-dimensional configuration space on which the wave function is defined. Which of the two spaces is our (more) fundamental physical space? I review the debate between 3N-Fundamentalists and 3D-Fundamentalists and evaluate it based on three criteria. I argue that when we consider which view leads to a deeper understanding of the physical world, especially given the deeper topological (...) explanation from the unordered configurations to the Symmetrization Postulate, we have strong reasons in favor of 3D-Fundamentalism. I conclude that our evidence favors the view that our fundamental physical space in a quantum world is 3-dimensional rather than 3N-dimensional. I outline lines of future research where the evidential balance can be restored or reversed. Finally, I draw lessons from this case study to the debate about theoretical equivalence. (shrink)

What is the quantum state of the universe? Although there have been several interesting suggestions, the question remains open. In this paper, I consider a natural choice for the universal quantum state arising from the Past Hypothesis, a boundary condition that accounts for the time-asymmetry of the universe. The natural choice is given not by a wave function but by a density matrix. I begin by classifying quantum theories into two types: theories with a fundamental wave function and theories with (...) a fundamental density matrix. The Past Hypothesis is compatible with infinitely many initial wave functions, none of which seems to be particularly natural. However, once we turn to density matrices, the Past Hypothesis provides a natural choice---the normalized projection onto the Past Hypothesis subspace in the Hilbert space. Nevertheless, the two types of theories can be empirically equivalent. To provide a concrete understanding of the empirical equivalence, I provide a novel subsystem analysis in the context of Bohmian theories. Given the empirical equivalence, it seems empirically underdetermined whether the universe is in a pure state or a mixed state. Finally, I discuss some theoretical payoffs of the density-matrix theories and present some open problems for future research. (Bibliographic note: the thesis was submitted for the Master of Science in mathematics at Rutgers University.). (shrink)

Two of the most difficult problems in the foundations of physics are (1) what gives rise to the arrow of time and (2) what the ontology of quantum mechanics is. I propose a unified 'Humean' solution to the two problems. Humeanism allows us to incorporate the Past Hypothesis and the Statistical Postulate into the best system, which we then use to simplify the quantum state of the universe. This enables us to confer the nomological status to the quantum state in (...) a way that adds no significant complexity to the best system and solves the ''supervenient-kind problem'' facing the original version of the Past Hypothesis. We call the resultant theory the Humean unification. It provides a unified explanation of time asymmetry and quantum entanglement. On this theory, what gives rise to time's arrow is also responsible for quantum phenomena. The new theory has a separable mosaic, a best system that is simple and non-vague, less tension between quantum mechanics and special relativity, and a higher degree of theoretical and dynamical unity. The Humean unification leads to new insights that can be useful to Humeans and non-Humeans alike. (shrink)

In this short survey article, I discuss Bell’s theorem and some strategies that attempt to avoid the conclusion of non-locality. I focus on two that intersect with the philosophy of probability: (1) quantum probabilities and (2) superdeterminism. The issues they raised not only apply to a wide class of no-go theorems about quantum mechanics but are also of general philosophical interest.

In this paper, I introduce an intrinsic account of the quantum state. This account contains three desirable features that the standard platonistic account lacks: (1) it does not refer to any abstract mathematical objects such as complex numbers, (2) it is independent of the usual arbitrary conventions in the wave function representation, and (3) it explains why the quantum state has its amplitude and phase degrees of freedom. -/- Consequently, this account extends Hartry Field’s program outlined in Science Without Numbers (...) (1980), responds to David Malament’s long-standing impossibility conjecture (1982), and establishes an important first step towards a genuinely intrinsic and nominalistic account of quantum mechanics. I will also compare the present account to Mark Balaguer’s (1996) nominalization of quantum mechanics and discuss how it might bear on the debate about “wave function realism.” In closing, I will suggest some possible ways to extend this account to accommodate spinorial degrees of freedom and a variable number of particles (e.g. for particle creation and annihilation). -/- Along the way, I axiomatize the quantum phase structure as what I shall call a “periodic difference structure” and prove a representation theorem as well as a uniqueness theorem. These formal results could prove fruitful for further investigation into the metaphysics of phase and theoretical structure. -/- (For a more recent version of this paper, please see "The Intrinsic Structure of Quantum Mechanics" available on PhilPapers.). (shrink)

In a quantum universe with a strong arrow of time, it is standard to postulate that the initial wave function started in a particular macrostate---the special low-entropy macrostate selected by the Past Hypothesis. Moreover, there is an additional postulate about statistical mechanical probabilities according to which the initial wave function is a ''typical'' choice in the macrostate. Together, they support a probabilistic version of the Second Law of Thermodynamics: typical initial wave functions will increase in entropy. Hence, there are two (...) sources of randomness in such a universe: the quantum-mechanical probabilities of the Born rule and the statistical mechanical probabilities of the Statistical Postulate. I propose a new way to understand time's arrow in a quantum universe. It is based on what I call the Thermodynamic Theories of Quantum Mechanics. According to this perspective, there is a natural choice for the initial quantum state of the universe, which is given by not a wave function but by a density matrix. The density matrix plays a microscopic role: it appears in the fundamental dynamical equations of those theories. The density matrix also plays a macroscopic / thermodynamic role: it is exactly the projection operator onto the Past Hypothesis subspace. Thus, given an initial subspace, we obtain a unique choice of the initial density matrix. I call this property "the conditional uniqueness" of the initial quantum state. The conditional uniqueness provides a new and general strategy to eliminate statistical mechanical probabilities in the fundamental physical theories, by which we can reduce the two sources of randomness to only the quantum mechanical one. I also explore the idea of an absolutely unique initial quantum state, in a way that might realize Penrose's idea of a strongly deterministic universe. (shrink)

Although expected utility theory has proven a fruitful and elegant theory in the finite realm, attempts to generalize it to infinite values have resulted in many paradoxes. In this paper, we argue that the use of John Conway's surreal numbers shall provide a firm mathematical foundation for transfinite decision theory. To that end, we prove a surreal representation theorem and show that our surreal decision theory respects dominance reasoning even in the case of infinite values. We then bring our theory (...) to bear on one of the more venerable decision problems in the literature: Pascal's Wager. Analyzing the wager showcases our theory's virtues and advantages. To that end, we analyze two objections against the wager: Mixed Strategies and Many Gods. After formulating the two objections in the framework of surreal utilities and probabilities, our theory correctly predicts that (1) the pure Pascalian strategy beats all mixed strategies, and (2) what one should do in a Pascalian decision problem depends on what one's credence function is like. Our analysis therefore suggests that although Pascal's Wager is mathematically coherent, it does not deliver what it purports to, a rationally compelling argument that people should lead a religious life regardless of how confident they are in theism and its alternatives. (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 any realistic and simple theory of physics. In this paper, I propose a definition of strong determinism and contrast (...) it with those of standard determinism and super-determinism. Next, I discuss its consequences for explanation, causation, prediction, fundamental properties, free will, and modality. Finally, I present the first example of a realistic, simple, and strongly deterministic physical theory--the Everettian Wentaculus. As a consequence of physical laws, the history of the Everettian multiverse could not have been different. If the Everettian Wentaculus is empirically equivalent to other quantum theories, we can never empirically find out whether or not our world is strongly deterministic. Even if strong determinism fails to be true, it is closer to the actual world than we have presumed, with implications for some of the central topics in philosophy and foundations of physics. (shrink)

Physical laws are strikingly simple, although there is no a priori reason they must be so. I propose that nomic realists of all types (Humeans and non-Humeans) should accept that simplicity is a fundamental epistemic guide for discovering and evaluating candidate physical laws. This principle of simplicity clarifies and addresses several problems of nomic realism and simplicity. A consequence is that the oft-cited epistemic advantage of Humeanism over non-Humeanism disappears, undercutting an influential epistemological argument for Humeanism. Moreover, simplicity is shown (...) to be more tightly connected to lawhood than to mere truth. (shrink)

What is the proper metaphysics of quantum mechanics? In this dissertation, I approach the question from three different but related angles. First, I suggest that the quantum state can be understood intrinsically as relations holding among regions in ordinary space-time, from which we can recover the wave function uniquely up to an equivalence class (by representation and uniqueness theorems). The intrinsic account eliminates certain conventional elements (e.g. overall phase) in the representation of the quantum state. It also dispenses with first-order (...) quantification over mathematical objects, which goes some way towards making the quantum world safe for a nominalistic metaphysics suggested in Field (1980, 2016). Second, I argue that the fundamental space of the quantum world is the low-dimensional physical space and not the high-dimensional space isomorphic to the ``configuration space.'' My arguments are based on considerations about dynamics, empirical adequacy, and symmetries of the quantum mechanics. Third, I show that, when we consider quantum mechanics in a time-asymmetric universe (with a large entropy gradient), we obtain new theoretical and conceptual possibilities. In such a model, we can use the low-entropy boundary condition known as the Past Hypothesis (Albert, 2000) to pin down a natural initial quantum state of the universe. However, the universal quantum state is not a pure state but a mixed state, represented by a density matrix that is the normalized projection onto the Past Hypothesis subspace. This particular choice has interesting consequences for Humean supervenience, statistical mechanical probabilities, and theoretical unity. (shrink)

Two of the most difficult problems in the foundations of physics are (1) what gives rise to the arrow of time and (2) what the ontology of quantum mechanics is. They are difficult because the fundamental dynamical laws of physics do not privilege an arrow of time, and the quantum-mechanical wave function describes a high-dimensional reality that is radically different from our ordinary experiences. -/- In this paper, I characterize and elaborate on the ``Wentaculus” theory, a new approach to time’s (...) arrow in a quantum universe that offers a unified solution to both problems. Central to the Wentaculus are (i) Density Matrix Realism, the idea that the quantum state of the universe is objective but can be impure, and (ii) the Initial Projection Hypothesis, a new law of nature that selects a unique initial quantum state. On the Wentaculus, the quantum state of the universe is sufficiently simple to be a law, and the arrow of time can be traced back to an exact boundary condition. It removes the intrinsic vagueness of the Past Hypothesis, eliminates the Statistical Postulate, provides a higher degree of theoretical unity, and contains a natural realization of “strong determinism." I end by responding to four recent objections. In a companion paper, I elaborate on Density Matrix Realism. (shrink)

What exists at the fundamental level of reality? On the standard picture, the fundamental reality contains (among other things) fundamental matter, such as particles, fields, or even the quantum state. Non-fundamental facts are explained by facts about fundamental matter, at least in part. In this paper, I introduce a non-standard picture called the "cosmic void” in which the universe is devoid of any fundamental material ontology. Facts about tables and chairs are recovered from a special kind of laws that satisfy (...) strong determinism. All non-fundamental facts are completely explained by nomic facts. I discuss a concrete example of this picture in a strongly deterministic version of the many-worlds theory of quantum mechanics. I discuss some philosophical and scientific challenges to this view, as well as some connections to ontological nihilism. (shrink)

Despite its apparent complexity, our world seems to be governed by simple laws of physics. This volume provides a philosophical introduction to such laws. I explain how they are connected to some of the central issues in philosophy, such as ontology, possibility, explanation, induction, counterfactuals, time, determinism, and fundamentality. I suggest that laws are fundamental facts that govern the world by constraining its physical possibilities. I examine three hallmarks of laws--simplicity, exactness, and objectivity--and discuss whether and how they may be (...) associated with laws of physics. (shrink)

We expect the laws of nature that describe the universe to be exact, but what if that isn't true? In this popular science article, I discuss the possibility that some candidate fundamental laws of nature, such as the Past Hypothesis, may be vague. This possibility is in conflict with the idea that the fundamental laws of nature can always and faithfully be described by classical mathematics. -/- [Bibliographic note: this article is featured on the magazine website under a different title (...) as "The fuzzy law that could break the idea of a mathematical universe" and on the magazine cover as "The Flaw at the Heart of Reality: Why precise mathematical laws can never fully explain the universe." It is a popular version of the article "Nomic Vagueness" that can be found on arXiv: 2006.05298.]. (shrink)