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)

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)

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)

How do people decide which claims should be considered mere beliefs and which count as knowledge? Although little is known about how people attribute knowledge to others, philosophical debate about the nature of knowledge may provide a starting point. Traditionally, a belief that is both true and justified was thought to constitute knowledge. However, philosophers now agree that this account is inadequate, due largely to a class of counterexamples (termed ‘‘Gettier cases’’) in which a person’s justified belief is true, but (...) only due to luck. We report four experiments examining the effect of truth, justification, and ‘‘Gettiering’’ on people’s knowledge attributions. These experiments show that: (1) people attribute knowledge to others only when their beliefs are both true and justified; (2) in contrast to contemporary philosophers, people also attribute knowledge to others in Gettier situations; and (3) knowledge is not attributed in one class of Gettier cases, but only because the agent’s belief is based on ‘‘apparent’’ evidence. These findings suggest that the lay concept of knowledge is roughly consistent with the traditional account of knowledge as justified true belief, and also point to a major difference between the epistemic intuitions of laypeople and those of philosophers. (shrink)

Mystical religious experiences typically purport to engage with the transcendent and often claim to involve encounters with spiritual entities or a detachment from the material world. Daoism diverges from this paradigm. This paper examines Daoist mystical experiences of bodily transformations and explores their epistemological implications. Specifically, we defend the justificatory power of Daoist somatic experiences against the disanalogy objection. The disanalogy objection posits that mystical experiences, in contrast to sense perceptions, are not socially verifiable and thereby lack prima facie epistemic (...) value. We argue that some Daoist mystical bodily states, being essentially spatiotemporal, are exempt from this challenge. This leads to a broader understanding of mysticism and offers a partial resolution to the disanalogy objection. (shrink)

This correlational study investigated the relationship between preservice teachers’ math self-concept, self-efficacy, and attitude with their math achievement. Participants were chosen using stratified random sampling from BEEd and BSEd mathematics majors (n = 117). From the findings, preservice teachers had moderate to high math self-concept, self-efficacy, and attitude. These variables were statistically correlated with each other and with math achievement. The inclusion of training programs for developing the preservice teachers’ math self-concept, self-efficacy, and attitude, as well as designing curricula that (...) engage and encourage them to do mathematics and problem-solving, must be considered among teacher education institutions. (shrink)

Realism about quantum theory naturally leads to realism about the quantum state of the universe. It leaves open whether it is a pure state represented by a wave function, or an impure one represented by a density matrix. I characterize and elaborate on Density Matrix Realism, the thesis that the universal quantum state is objective but can be impure. To clarify the thesis, I compare it with Wave Function Realism, explain the conditions under which they are empirically equivalent, consider two (...) generalizations of Density Matrix Realism, and answer some frequently asked questions. I end by highlighting an implication for scientific realism. (shrink)

We consider two ways one might use algorithmic randomness to characterize a probabilistic law. The first is a generative chance* law. Such laws involve a nonstandard notion of chance. The second is a probabilistic* constraining law. Such laws impose relative frequency and randomness constraints that every physically possible world must satisfy. While each notion has virtues, we argue that the latter has advantages over the former. It supports a unified governing account of non-Humean laws and provides independently motivated solutions to (...) issues in the Humean best-system account. On both notions, we have a much tighter connection between probabilistic laws and their corresponding sets of possible worlds. Certain histories permitted by traditional probabilistic laws are ruled out as physically impossible. As a result, such laws avoid one variety of empirical underdetermination, but the approach reveals other varieties of underdetermination that are typically overlooked. (shrink)

According to C. S. Peirce, resemblance or similarity is the basis for the relationship of iconic signs to their dynamical objects. But what is the basis of resemblance or similarity itself and how is the phenomenon of iconicity generated? How does it function in cultural practices and processes by which various forms of signs are generated (say, for example, the cartographical procedures by which maps are drawn, more generally, the diagrammatic ones by which networks of relationships are iconically represented)? To (...) what extent are they themselves performances (maps are always both the result of mappings andthe impetus for re-mappings)? With examples from texts by Virginia Woolf, W. G. Sebald and Reif Larsen, I will argue that literary texts provide us with uniqueresources for exploring, among other matters, the performative dimension of iconicity in the complex interaction among icon, index and metaphor as aprerequisite for semiosis, the generation of signs. (shrink)

In his “Space, supervenience and substantivalism”, Le Poidevin proposes a substantivalism in which space is discrete, implying that there are unmediated spatial relations between neighboring primitive points. This proposition is motivated by his concern that relationism suffers from an explanatory lacuna and that substantivalism gives rise to a vicious regress. Le Poidevin implicitly requires that the relationist be committed to the “only x and y ” principle regarding spatial relations. It is not obvious that the relationist is committed to this (...) principle in such a context. An additional motivation for Le Poidevin's argument, that space should be considered to be discrete, is that he believes that substantivalists are committed to a vicious regress. I show that the regress is in fact not of the vicious variety. These two main arguments show that Le Poidevin's suggestion that we drop the density postulate for space is unnecessary. (shrink)

Can the persistence of a human being's soul at death and prior to the bodily resurrection be sufficient to guarantee that the resurrected human being is numerically identical to the human being who died? According to Thomas Aquinas, it can. Yet, given that Aquinas holds that the human being is identical to the composite of soul and body and ceases to exist at death, it's difficult to see how he can maintain this view. In this paper, I address Aquinas's response (...) to this objection . After making a crucial clarification concerning the nature of the non-repeatability principle on which the objection relies, I argue that the contemporary notion of immanent causal relations provides us with a way of understanding Aquinas's defence that renders it both highly interesting and philosophically plausible. (shrink)

"Wilderness" is a concept which has undergone a radical change in recent years. Owing to the scale of global destruction of the wilderness and its various ecosystems, the idea of wilderness has been transformed from its original negative sense as an Other into a matter of public concern. This as replaced the understanding of "wilderness " not only as a place but as a category closely linked with the development of buman culture. As the result of human practice and representation, (...) nature is thus also political Models and concepts of nature in the creative arts can be indicative of a certain culture's relationship with nature, as they communicate prevailing ideologies. This is particularly pertinent to concepts of nature in Canada where wilderness includes vast tracts of forests, lakes and an Arctic North, which has led to a distinctively Canadian relationship between Canadians and their natural environment. The change in the literary representations of interactions between humankind and environment in Canadian fiction - from the "double vision" resulting from the view of the wilderness both as a threatening Other and free space; to the view of threatened nature as a means of identification; and, finally, as a post-modem place of transgression and possibility - invites questions about both the semiotic threshold between nature and culture, and about the function of boundaries in the constitution of identity. (shrink)

The 13th-15th centuries were witness to lively and broad-ranging debates about the nature of persons. In this paper, I look at how the uses of ‘person’ in logical/grammatical, legal/political, and theological contexts overlap in the works of 13th-15th century contemplatives in the Latin West, such as Hadewijch, Meister Eckhart, and Catherine of Siena. After explicating the key concepts of individuality, dignity, and rationality, I show how these ideas combine with the contemplative use of first- and second-person perspectives, personification, and introspection (...) to yield a concept of 'person' that both prefigures Locke's classic 17th century definition and deeply influences the development of personalism. (shrink)

In several lectures, interviews and essays from the early 1980s, Michel Foucault startlingly argues that he is engaged in a kind of critical work that is similar to that of Immanuel Kant. Given Foucault's criticisms of Kantian and Enlightenment emphases on universal truths and values, his declaration that his work is Kantian seems paradoxical. I agree with some commentators who argue that this is a way for Foucault to publicly acknowledge to his critics that he is not, as some of (...) them charge, attempting a total critique of Enlightenment beliefs and values, but is instead attempting to transform them from within. I argue further that Foucault's self-professed Kantianism can also productively be read as a means of encouraging change in his intellectual audience, a call to courage to take up the thread of Enlightenment thought that Foucault finds in Kant's essay, `What is Enlightenment?': that of directing one's philosophical efforts towards questioning and transforming one's own present in its historical specificity, for the sake of promoting the values of freedom and autonomy therein. Though much of Kant's philosophical work is focused on that which lies outside of history, Foucault locates in some of it a concern for what is happening here and now that, I argue, he encourages his audience to take up for themselves through tracing his own intellectual lineage to Kant. In so doing, he encourages contemporary philosophers to consider the value and effects of their work on the present social and political contexts in which they live. (shrink)

If states are permitted to create and maintain a military force, by what means are they permitted to do so? This paper argues that a theory of just recruitment should incorporate a concern for moral risk. Since the military is a morally risky profession for its members, recruitment policies should be evaluated in terms of how they distribute moral risk within a community. We show how common military recruitment practices exacerbate and concentrate moral risk exposure, using the UK as a (...) case study. We argue that the British state wrongs its citizens by subjecting them to excessively morally risky recruitment practices. Since, we argue, this risk exposure cannot be justified by appealing to the benefits of a military career for recruits, our argument calls for reform of existing practices. Our method of evaluation is generalizable and thus can be used to assess other states’ practices. (shrink)

This article explores the profound impact of Artificial Intelligence (AI) on the realm of religion, exploring the potential for AI to catalyze the birth of new world religions and break the "Solomon's Cycle." Drawing inspiration from King Solomon's timeless declaration, "There is nothing new under the sun," the article examines the challenges faced by new religions in a world dominated by established faiths and traditions. By leveraging the transformative capabilities of AI to inspire creativity, foster cross-cultural dialogue, provide ethical guidance, (...) build virtual communities, and personalize spiritual experiences, individuals are empowered to transcend historical barriers and forge new paths of spiritual exploration. The fusion of AI and human ingenuity holds the promise of birthing diverse, inclusive, and dynamic belief systems that resonate with the complexities of our contemporary world. (shrink)

I analyse the 2014 policy to promote 'British values' in schools from the perspective of the two main positions in contemporary liberal theory, comprehensive liberalism and political liberalism. I highlight in what ways comprehensive and political liberal defences of the policy are unsatisfactory, before briefly sketching a possible alternative position – ‘thin comprehensive liberalism’ – and discussing its potential for justifying a substantive education in liberal values. In light of this theoretical perspective, I suggest some ways that the existing British (...) values policy might be amended in practice so as to bring it more in line with the liberal ideal. (shrink)

The Middles Ages are often portrayed as a time in which people with physical disabilities in the Latin West were ostracized, on the grounds that such conditions demonstrated personal sin and/or God’s judgment. This was undoubtedly the dominant response to disability in various times and places during the fifth through fifteenth centuries, but the total range of medieval responses is much broader and more interesting. In particular, the 13th-15th century treatment of three groups (martyrs, mothers, and mystics - whose physical (...) ‘defects’ were often understood as signs of special connection to God in this life, and who were often represented as retaining these signs in the life to come) challenge standard notions of beauty, disfigurement, and bodily perfection, particularly as the notion is applied to eternal life and our ultimate end. (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)

At several points throughout his career, Foucault suggests that publishing texts without authors’ names attached would be a useful step towards dismantling what he calls the “author-function:” a social and political role structured according to the way discourse is treated and disseminated in a particular social setting. I discuss Foucault’s criticisms of the author-function in terms of its relationship to the political role of intellectuals, and I argue that the demise of this role cannot be achieved through the means of (...) authorial anonymity, as Foucault suggests. Rather, it must be undermined from a position within this role itself. (shrink)

Paper presented at a meeting of the International Association for Philosophy and Literature, Stony Brook, New York, USA, May 2000. -/- Foucault rejects the idea of intellectuals acting as "prophets": telling others what must be done and what sorts of social and political goals they should pursue. I argue that in outright rejecting such prophecy, Foucault may not be pursuing the most effective means of eventually breaking it down. I locate in Foucauldian genealogical works such as Discipline and Punish a (...) rhetorical strategy through which the intellectual acts as a prophet while also distancing him/herself from this role: the genealogist speaks as a universal intellectual while also encouraging others to question the truths thus provided, as well as the role of the intellectual as prophet itself. I argue that in so doing the genealogist engages in a kind of exile, a term I borrow from Edward Said to denote a movement of distancing without effecting a clean break. This intellectual, rather than rejecting outright the role of the prophet, works within this role while yet distancing him/herself from it -- acting as (what I call) a “prophet in exile.”. (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)

Presented at the 2010 Annual Meeting of the Association for Core Texts and Courses, New Brunswick, New Jersey, USA, April 2010. -/- René Descartes’ Discourse on Method is paradoxical in several respects: it was published anonymously, yet is rich in autobiographical detail; further, Descartes insists that “the power of judging well and of distinguishing the true from the false…is naturally equal in all men,” and also that “the world consists almost exclusively of … minds for whom [his method of reasoning] (...) is not at all suitable” (1, 9). The Discourse indicates both that the identity of a particular reasoning subject (such as the author of the text itself) does not matter—because all rational beings could come to the same conclusion if using their reason correctly—and yet also that who one is does indeed matter to showing that one counts as one of the select group of subjects who possess knowledge. The method and its results do not speak for themselves; rather, the author must speak for them, and legitimize his authority in the process. If it were the case that Descartes’ plan did not go beyond “trying to reform [his] own thoughts and building upon a foundation which is completely [his] own” (9), then he might rest content with his own convictions regarding the truth of his conclusions, but if he wants to be recognized by others as possessing knowledge then he must either appeal to existing standards of authority to legitimize his method and its conclusions, or argue for the validity of new ones. Either way, the Discourse demonstrates Michel Foucault’s claims that knowledge production is bound up in a social context that determines what counts as true knowledge and who has the authority to speak about it. Descartes’s text shows an author both boldly presenting revolutionary arguments and methods and revealing his awareness of the difficulties and dangers of resisting the accepted standards of knowledge. It can be used to spark discussion amongst students about whether, even if we believe anyone’s reason might produce knowledge, it is still the case today that only some count as “knowers” according to criteria that are socially determined (e.g., institutional affiliation, status within an institution, the acceptability of certain sorts of projects and methods as legitimate for knowledge). (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)

Many teachers appreciate discussing teaching and learning with others, and participating in a community of others who are also excited about pedagogy. Many philosophy teachers find meetings such as the biannual AAPT workshop extremely valuable for this reason. But in between face-to-face meetings such as those, we can still participate in a community of teachers and learners, and even expand its borders quite widely, by engaging in activities under the general rubric of “open education.” Open education can mean many things, (...) from sharing one’s teaching materials openly with others, to using and revising those created by others, to asking students to create open educational materials, and more. In this article I discuss the benefits and possible drawbacks of such activities, and I argue that the former outweigh the latter. (shrink)

Paper presented at the Association for Informal Logic and Critical Thinking meeting in conjunction with the Central Division of the American Philosophical Association, Chicago, April 2004.

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)

According to conventionalist accounts of personal identity, persons are constituted in part by practices and attitudes of certain sorts of care. In this paper, we concentrate on the most well-developed and defended version of conventionalism currently on offer (namely, that proposed by David Braddon-Mitchell, Caroline West, and Kristie Miller) and discuss how the conventionalist appears forced either (1) to accept arbitrariness concerning from which perspective to judge one's survival or (2) to maintain egalitarianism at the cost of making “transfiguring” decisions (...) such as Pascal's Wager rationally intractable. We consider three ways the egalitarian conventionalist could make these choices tractable and show that each one comes at significant cost to the view. We end the paper by considering whether accepting arbitrariness would be a better move for the conventionalist and conclude that, even here, she runs the risk of transfiguring choices being rationally intractable. (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)

This paper aims to give a charitable and comprehensible interpretation of the concept of practical knowledge in Intention, G. E. M. Anscombe's famous monograph. In particular, it focuses on her claim that practical knowledge is present even if the agent fails to execute his intention. I argue that (1) a rejection of this claim is unacceptable, and that (2) the content of practical knowledge should be formulated as "I am X-ing", with which this concept can be coherently interpreted.

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)

Invasion biologists often suggest that phenotypic plasticity plays an important role in successful plant invasions. Assuming that plasticity enhances ecological niche breadth and therefore confers a fitness advantage, recent studies have posed two main hypotheses: (1) invasive species are more plastic than non-invasive or native ones; (2) populations in the introduced range of an invasive species have evolved greater plasticity than populations in the native range. These two hypotheses largely reflect the disparate interests of ecologists and evolutionary biologists. Because these (...) sciences are typically interested in different temporal and spatial scales, we describe what is required to assess phenotypic plasticity at different levels. We explore the inevitable tradeoffs of experiments conducted at the genotype vs. species level, outline components of experimental design required to identify plasticity at different levels, and review some examples from the recent literature. Moreover, we suggest that a successful invader may benefit from plasticity as either (1) a Jack-of-all-trades, better able to maintain fitness in unfavourable environments; (2) a Master-of-some, better able to increase fitness in favourable environments; or (3) a Jack-and-master that combines some level of both abilities. This new framework can be applied when testing both ecological or evolutionary oriented hypotheses, and therefore promises to bridge the gap between the two perspectives. (shrink)

The article aims at formulating a philosophical framework and by this giving some means at hand to save human libertarian freedom, God’s omniscience and God’s ”eternity’. This threefold aim is achieved by 1) conceiving of an agent as having different possibilities to act, 2) regarding God’s knowledge -- with respect to agents -- not only as being ”propositional’ in character but also as being ”experiential’: God knows an agent also from the ”first person perspective’, as the agent knows herself, and, (...) 3), formulating ”eternity’ and ”temporality’ as being homeomorphically related to each other. This gives rise to a coherent interplay that saves both human libertarian freedom and God’s omniscient ”view from eternity’. (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)

Discussions of immortality in the Middles Ages tend to focus on the nature of the rational soul and its prospects for surviving the death of the body. The question of how medieval figures expected to experience everlasting life—what I will be calling the phenomenology of immortality—receives far less attention. In this paper, I explore the range of these expectations during a relatively narrow but intensely rich temporal and geographical slice of the Middle Ages (the thirteenth and fourteenth centuries in the (...) ‘Latin Christian West’). In section 1, I sketch the two central accounts of the rational soul and human nature (inspired by the Platonist and Aristotelian traditions) that set the metaphysical parameters for medieval discussions of our experience of the afterlife. In section 2, I address accounts that involve transcending the soul’s experiences of itself as an individual. In section 3, I turn to views that emphasize the embodied aspect of human existence and depict our unending union with God in affective and physical terms. In section 4, I argue that the views discussed in 2 and 3 form endpoints of an ‘experiential continuum of immortality’ that provides important context for scholastic accounts of immortality as well as expanding the traditional narrative of medieval philosophy. (shrink)

Gila Sher interviewed by Chen Bo: -/- I. Academic Background and Earlier Research: 1. Sher’s early years. 2. Intellectual influence: Kant, Quine, and Tarski. 3. Origin and main Ideas of The Bounds of Logic. 4. Branching quantifiers and IF logic. 5. Preparation for the next step. -/- II. Foundational Holism and a Post-Quinean Model of Knowledge: 1. General characterization of foundational holism. 2. Circularity, infinite regress, and philosophical arguments. 3. Comparing foundational holism and foundherentism. 4. A post-Quinean model of (...) knowledge. 5. Intellect and figuring out. 6. Comparing foundational holism with Quine’s holism. 7. Evaluation of Quine’s Philosophy -/- III. Substantive Theory of Truth and Relevant Issues: 1. Outline of Sher’s substantive theory of truth. 2. Criticism of deflationism and treatment of the Liar. 3. Comparing Sher’s substantive theory of truth with Tarski’s theory of truth. -/- IV. A New Philosophy of Logic and Comparison with Other Theories: 1. Foundational account of logic. 2. Standard of logicality, set theory and logic. 3. Psychologism, Hanna’s and Maddy’s conceptions of logic. 4. Quine’s theses about the revisability of logic. -/- V. Epilogue. (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)

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)

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)

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)

Is the being in an irreversible persistent vegetative state as the result of a horrible accident numerically identical to the human person, Lindsay, who existed before the accident? Many proponents of Thomistic metaphysics have argued that Aquinas’s answer to this question must be “yes.” In particular, it seems that Aquinas’s commitment to both Aristotelian hylomorphism and the unity of substantial form (viz., that each body/soul composite possesses one and only one substantial form) entails the position that the human person remains (...) alive as long as biological life persists. I argue, however, that although Aquinas does possess a deeply integrated account of human nature and is indeed committed to the claim that the person, Lindsay, exists as long as Lindsay’s body lives, there is good reason to suppose that he also holds that the body in the PVS is not Lindsay’s body in anything more than an equivocal sense. (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)

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)

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.

Aquinas’s account of the human soul is the key to his theory of human nature. The soul’s nature as the substantial form of the human body appears at times to be in tension with its nature as immaterial intellect, however, and nowhere is this tension more evident than in Aquinas’s discussion of the ‘separated’ soul. In this paper I use the Biblical story of the rich man and Lazarus (which Aquinas took to involve actual separated souls) to highlight what I (...) will call the Two-Person Problem facing his account of human identity through death and the bodily resurrection. Aquinas claims that the rational soul is neither the human being nor the human person. When the rich man’s soul says “I am in agony,” then, what is the referent of “I?” It appears that there is a human person, ‘Dives,’ who is replaced at Dives’s death by the person ‘Dives’s soul,’ who is in turn replaced at the bodily resurrection by ‘Dives,’ whom Aquinas claims is numerically identical to the original person. But this seems hopeless as an identity-preserving account of human nature. I believe that Aquinas’s account of human nature does not, as it stands, possess the resources with which to overcome this difficulty; I conclude that reconstructing a(n otherwise) Thomistic account that involves immediate bodily resurrection, although a radical approach, is the one best suited to preserving the most essential features of Aquinas’s theory. (shrink)

Feminist philosophers do not take well to criticism, and while many scholars are appalled at the idea of an academic field adhering to a controversial political philosophy and pursuing a controversial agenda within the academy, very few have been willing to take on the daunting and unrewarding job of examining and criticizing the feminists’ arguments and assumptions. In consequence, a feminist philosophy that is inspiring the successful effort to transform the American academy goes on virtually unchallenged. In this paper I (...) will briefly be discussing some serious moral and pedagogic weaknesses of feminist philosophy. My intentions are to initiate discussion on some important and controversial topics. The hope is that others will enter the fray and that a more open and less diffident debate will ensue. (shrink)

Rather than dismissing mysticism as irrelevant to the study of medieval philosophy, this chapter identifies the two forms of mysticism most prevalent in the Middle Ages from the twelfth to the early fifteenth century - the apophatic and affective traditions - and examines the intersections of those traditions with three topics of medieval philosophical interests: the relative importance of intellect and will, the implications of the Incarnation for attitudes towards the human body and the material world, and the proper relation (...) between contemplation and activity in the good life. (shrink)