It is well known that the following features hold of AR + T under the strong Kleene scheme, regardless of the way the language is Gödel numbered: 1. There exist sentences that are neither paradoxical nor grounded. 2. There are 2ℵ0 fixed points. 3. In the minimal fixed point the weakly definable sets (i.e., sets definable as {n∣ A(n) is true in the minimal fixed point where A(x) is a formula of AR + T) are precisely the Π1 1 sets. (...) 4. In the minimal fixed point the totally defined sets (sets weakly defined by formulae all of whose instances are true or false) are precisely the ▵1 1 sets. 5. The closure ordinal for Kripke's construction of the minimal fixed point is ωCK 1. In contrast, we show that under the weak Kleene scheme, depending on the way the Gödel numbering is chosen: 1. There may or may not exist nonparadoxical, ungrounded sentences. 2. The number of fixed points may be any positive finite number, ℵ0, or 2ℵ0 . 3. In the minimal fixed point, the sets that are weakly definable may range from a subclass of the sets 1-1 reducible to the truth set of AR to the Π1 1 sets, including intermediate cases. 4. Similarly, the totally definable sets in the minimal fixed point range from precisely the arithmetical sets up to precisely the ▵1 1 sets. 5. The closure ordinal for the construction of the minimal fixed point may be ω, ωCK 1, or any successor limit ordinal in between. In addition we suggest how one may supplement AR + T with a function symbol interpreted by a certain primitive recursive function so that, irrespective of the choice of the Godel numbering, the resulting language based on the weak Kleene scheme has the five features noted above for the strong Kleene language. (shrink)

Suppose we wish to decide which of a pair of actions has better consequences in a case in which both actions result in infinite utility. Peter Vallentyne and others have proposed that one action has better consequences than a second if there is a time after which the cumulative utility of the first action always outstrips the cumulative utility of the second. I argue against this principle, in particular I show how cases may arise in which up to any point (...) of time action a1 produces more utility than action a2, yet for each individual involved a2 produces more utility. (shrink)

There is a conception of hell that holds that God punishes some people in a way that brings about endless suffering and unhappiness. An objection to this view holds that such punishment could not be just since it punishes finite sins with infinite suffering. In answer to this objection, it is shown that endless suffering, even intense suffering, is consistent with the suffering being finite. Another objection holds that such punishment is contrary to God's love. A possible response to this (...) objection is developed. (shrink)

I EXPLORE ONE WAY IN WHICH THE THEORY OF RELATIVE IDENTITY (DEVELOPED ALONG LINES SUGGESTED BY GEACH’S WRITINGS) CAN BE USED TO UNDERSTAND THE WAY LANGUAGE FUNCTIONS IN TRINITARIAN DOCTRINE. THIS INCLUDES A DISCUSSION OF REDUPLICATIVE PROPOSITIONS.

According to the free-will defence, the exercise of free will by creatures is of such value that God is willing to allow the existence of evil which comes from the misuse of free will. A well-known objection holds that the exercise of free will is compatible with determinism and thus, if God exists, God could have predetermined exactly how the will would be exercised; God could even have predetermined that free will would be exercised sinlessly. Thus, it is held, the (...) free-will defence cannot be used as a partial account of why God should have allowed evil to exist. I investigate this objection using Kripke's apparatus for treating modalities and natural kinds to explore the nature of the incompatibilism required by the free-will defence. I show why the objection fails even if the standard arguments for compatibilism are acceptable. This is because the modality involved in the incompatibilism needed by the free-will defence differs from the modality involved in the compatibilism that is supported by standard compatibilist arguments. Finally, an argument is sketched for a variety of incompatibilism of the kind needed by the free-will defence. (shrink)

P. T. Geach has argued that it is impossible to demonstrate that the doctrine of the Trinity is consistent. I try to show why -- on a common understanding of the notion of consistency -- his reasoning is flawed and why, on Geach’s own principles, one should expect that if the doctrine of the Trinity is true then it will be possible to prove that the doctrine is consistent, and it will be possible to do this in a way that (...) makes no appeal to the truth of any religious doctrine. (shrink)

A language in which we can express arithmetic and which contains its own satisfaction predicate (in the style of Kripke's theory of truth) can be formulated using just two nonlogical primitives: (the successor function) and Sat (a satisfaction predicate).

Many philosophers accept with certainty that we are morally responsible but take it to be an open question whether determinism holds. They treat determinism as epistemically compatible with responsibility. Should one who accepts this form of epistemic compatibilism also hold that determinism is metaphysically compatible with responsibility—that it is metaphysically possible for determinism and responsibility to coexist? John Martin Fischer gives two arguments that appear to favor an affirmative answer to this question. He argues that accounts of responsibility, such as (...) his, that are neutral with respect to whether responsible actions are determined have a "resiliency" that counts in their favor. Furthermore, he criticizes libertarians who argue on a priori grounds that determinism cannot coexist with responsibility and who admit that they would retract their argument if determinism were shown to hold; this "metaphysical flip-flopping" is said to render their positions implausible. I assess the merits of these arguments. (shrink)

The notion of computability is developed through the study of the behavior of a set of languages interpreted over the natural numbers which contain their own fully defined satisfaction predicate and whose only other vocabulary is limited to "0", individual variables, the successor function, the identity relation and operators for disjunction, conjunction, and existential quantification.

Frankfurt examples are frequently used in arguments designed to show that agents lacking alternatives, or lacking ‘regulative control’ over their actions, can be morally responsible for what they do. I will maintain that Frankfurt examples can be constructed that undermine those very arguments when applied to actions for which the agent bears fundamental responsibility.

Contemporary accounts of the Trinity and Incarnation sometimes employ aspects of Peter Geach's theory of relative identity. Geach's theory provides an account not merely of identity predicates, but also proper names and restricted quantification. In a previous work I developed an account of the doctrines of the Trinity and Incarnation incorporating these three aspects of Geach's theory and tried to show how each might contribute to our understanding of the doctrines. Joseph Jedwab has recently argued that my account—or any that (...) employs Geach's treatment of restricted quantifiers—leads to serious doctrinal errors. I reply to his criticisms. (shrink)

Frankfurt style examples (FSEs) have played an important role in the development of metaphysical accounts of moral agency. The legitimacy of this approach often requires that FSEs be metaphysically possible. I argue that, given our current knowledge of the nature of decision-making, we have no grounds to accept the metaphysical possibility of many standard FSEs involving a device that can be triggered to bring about a predetermined decision.

This essay reframes salient issues in discussions of free will using conceptual apparatus developed in the works of Saul Kripke, with particular attention paid to his little-discussed technical notion of a prejudice. I begin by focusing on how various forms of modality (metaphysical, epistemic, and conceptual) underlie alternate forms of compatibilism and discuss why it is important to avoid conflating these forms of compatibilism. The concept of a prejudice is then introduced. We consider the semantic role of prejudices, in particular (...) conditions in which prejudices turn out to express metaphysically necessary truths. With that as background, I discuss a set of prejudices involving the notion of choice. We consider the role these prejudices might play, should they turn out to be true, in determining the answer to various compatibility questions concerning the nature of moral responsibility and choice. (shrink)

I will argue that the Kane-Widerker objection to Frankfurt examples is much weaker than is generally recognized. The Kane-Widerker objection holds that proponents of Frankfurt examples beg the question against incompatibilist accounts of free and responsible action by constructing examples that tacitly assume a compatibilist account of moral responsibility; that is, they assume that one can have non-derivative responsibility for choices that were not undetermined prior to their occurrence. The notion of an event, E, being ‘undetermined prior to its occurrence’ (...) is ambiguous. It can mean either (1) with respect to each time t prior to E’s occurrence, it is not the case that at t E’s occurrence is determined to take place, or it can mean (2) with respect to the whole collection of times prior to E’s occurrence, E’s occurrence is not determined to take place. Kane’s argument shows that (under certain constraints) if a choice is to be undetermined (in the second sense) prior to its occurrence, then a prior-sign Frankfurt example cannot be successful. But he fails to show that prior-sign Frankfurt examples cannot be constructed in which the choice is undetermined (in the first sense) prior to its occurrence, and he would need to do so in order to sustain his charge that those using Frankfurt examples beg the question against traditional incompatibilist accounts of responsibility. Widerker’s argument avoids the above problem, but at the cost of only applying to a rather restricted set of Frankfurt examples. (shrink)

Classical utilitarianism attempts to reduce the moral significance of the individual to something more basic: the value of the individual is seen as fully grounded in considerations of utility maximization. This paper criticizes this aspect of utilitarianism and tries to do so through an appeal to considerations that would be acceptable to one who embraces utilitarianism. First, an example is developed in which (1) a pair of mutually exclusive actions each yield infinite utility; (2) neither action can be said to (...) yield more utility than the other, and (3) one of the actions is clearly preferable. This provides a case in which the moral significance of the individual cannot be fully reduced to considerations of utility maximizing features of the action. A second example, developed along the lines of the first example, involves only finite utilities. (shrink)

In this paper we provide a psychological explanation for ‘grounding observations’—observations that are thought to provide evidence that there exists a relation of ground. Our explanation does not appeal to the presence of any such relation. Instead, it appeals to certain evolved cognitive mechanisms, along with the traditional modal relations of supervenience, necessitation and entailment. We then consider what, if any, metaphysical conclusions we can draw from the obtaining of such an explanation, and, in particular, if it tells us anything (...) about whether we ought to posit a relation of ground. (shrink)

I argue that, although education should have positive effects on students’ epistemic character, it is often actually damaging, having bad effects. Rather than cultivating virtues of the mind, certain forms of education lead to the development of the vices of the mind - it is therefore epistemically corrupting. After sketching an account of that concept, I offer three illustrative case studies.

Ill persons suffer from a variety of epistemically-inflected harms and wrongs. Many of these are interpretable as specific forms of what we dub pathocentric epistemic injustices, these being ones that target and track ill persons. We sketch the general forms of pathocentric testimonial and hermeneutical injustice, each of which are pervasive within the experiences of ill persons during their encounters in healthcare contexts and the social world. What’s epistemically unjust might not be only agents, communities and institutions, but the theoretical (...) conceptions of health that structure our responses to illness. Thus, we suggest that although such pathocentric epistemic injustices have a variety of interpersonal and structural causes, they are also sustained by a deeper naturalistic conception of the nature of illness. (shrink)

In this paper, we argue that certain theoretical conceptions of health, particularly those described as ‘biomedical’ or ‘naturalistic’, are viciously epistemically unjust. Drawing on some recent work in vice epistemology, we identity three ways that abstract objects (such as theoretical conceptions, doctrines, or stances) can be legitimately described as epistemically vicious. If this is right, then robust reform of individuals, social systems, and institutions would not be enough to secure epistemic justice: we must reform the deeper conceptions of health that (...) underlie them. (shrink)

We offer philosophical motivations for a method we call Virtual World Cognitive Science (VW CogSci), in which researchers use virtual embodied agents that are embedded in virtual worlds to explore questions in the field of Cognitive Science. We focus on questions about mental and linguistic representation and the ways that such computational modeling can add rigor to philosophical thought experiments, as well as the terminology used in the scientific study of such representations. We find that this method forces researchers to (...) take a god’s-eye view when describing dynamical relationships between entities in minds and entities in an environment in a way that eliminates the need for problematic talk of belief and concept types, such as the belief that cats are silly, and the concept CAT, while preserving belief and concept tokens in individual cognizers’ minds. We conclude with some further key advantages of VW CogSci for the scientific study of mental and linguistic representation and for Cognitive Science more broadly. (shrink)

Since subjection to harm is an intrinsic feature of our social and epistemic lives, there is a perpetual need for individual and collective agents with the virtue of epistemic courage. In this chapter, I survey some of the main issues germane to this virtue, such as the nature of courage and of harm, the range of epistemic activities that can manifest courage, and the status of epistemic courage as a collective and as a professional virtue.

In this article, I offer an account of what one of the short-term political aims of proponents of greater equality ought to be. I claim that the strengthening of reflective capacity—citizens’ ability to impose a temporary level of distance from their commitments, to consider alternatives to them, and to evaluate their origins and validity—ought to be one key aim of egalitarian politics under present political conditions. I then propose activist-led education programs as one desirable means to deliver this end of (...) strengthened reflective capacity. Where activist-led education provides plentiful informational resources and opportunities to practice deploying one’s reflective capacity, and also emphasizes and encourages intellectual humility, it seems well placed to help bring about this aim. Activist-led education programs are commonly subject to what I term the indoctrination worry, but I try to show that there are not good grounds for concluding in advance of further study that the delicate balancing of ends that permissible activist-led education requires is either categorically unachievable, or avoidable in the way these objectors often press. The argument thus provides presumptive grounds for considering the proliferation of suitably organized activist-led education programs an important component of a broader strategy of egalitarian social change. (shrink)

A combined psychological-epistemological study of the blocks that stand in the way of the human recognition of the sentience and legal rights of non-human animals. Originally published in the Lewis and Clark law journal, Animal Law, and subsequently translated into German and into Portuguese.

The paper begins by acknowledging that weakened systematic precision in phenomenology has made its application in philosophy of science obscure and ineffective. The defining aspirations of early transcendental phenomenology are, however, believed to be important ones. A path is therefore explored that attempts to show how certain recent developments in the logic of self-reference fulfill in a clear and more rigorous fashion in the context of philosophy of science certain of the early hopes of phenomenologists. The resulting dual approach is (...) applied to several problems in the philosophy of science: on the one hand, to proposed rejections of scientific objectivity, to the doctrine of radical meaning variance, and to the Quine-Duhem thesis, and or. the other, to an analysis of hidden variable theory in quantum mechanics. (shrink)

If a person requires an organ or tissue donation to survive, many philosophers argue that whatever moral responsibility a biological relative may have to donate to the person in need will be grounded at least partially, if not entirely, in biological relations the potential donor bears to the recipient. We contend that such views ignore the role that a potential donor's unique ability to help the person in need plays in underwriting such judgments. If, for example, a sperm donor is (...) judged to have a significant moral responsibility to donate tissue to a child conceived with his sperm, we think this will not be due to the fact that the donor stands in a close biological relationship to the recipient. Rather, we think such judgments will largely be grounded in the presumed unique ability of the sperm donor to help the child due to the compatibility of his tissues and organs with those of the recipient. In this paper, we report the results of two studies designed to investigate the comparative roles that biological relatedness and unique ability play in generating judgments of moral responsibility in tissue donation cases. We found that biologically related individuals are deemed to have a significant moral responsibility to donate tissue only when they are one of a small number of people who have the capacity to help. (shrink)

2022 UPDATE: The approach of this monograph has been updated and developed further in Appendix II, "Epistemological Intelligence," of the author’s 2021 book _Critique of Impure Reason: Horizons of Possibility and Meaning_. The book is available both in a printed edition (under ISBN 978-0-578-88646-6 from Barnes & Noble, Amazon, and other booksellers) and an Open Access eBook edition (available through Philpapers under the book’s title and other philosophy online archives). ●●●●● -/- The monograph’s twofold purpose is to recognize epistemological intelligence (...) as a distinguishable variety of human intelligence, one that is especially important to philosophers, and to understand the challenges posed by the psychological profile of philosophers that can impede the development and cultivation of the skills associated with epistemological intelligence. (shrink)

There has been a general failure among mental health theorists and social psychologists to understand the etiology of work-engendered depression. Yet the condition is increasingly prevalent in highly industrialized societies, where an exclusionary focus upon work, money, and the things that money can buy has displaced values that traditionally exerted a liberating and humanizing influence. Social critics have called the result an impoverishment of the spirit, a state of cultural bankruptcy, and an incapacity for genuine leisure. From a clinical perspective, (...) the condition has been diagnosed as widespread narcissism and obsessive work. -/- Acedia, a concept developed by the Scholastics, throws clarifying light on the origin of this form of depression. (shrink)

This paper addresses the so-called paradox of fiction, the problem of explaining how we can have emotional responses towards fiction. I claim that no account has yet provided an adequate explanation of how we can respond with genuine emotions when we know that the objects of our responses are fictional. I argue that we should understand the role played by the imagination in our engagement with fiction as functionally equivalent to that which it plays under the guise of acceptance in (...) practical reasoning, suggesting that the same underlying cognitive-affective mechanisms are involved in both activities. As such, our imaginative engagement with fiction un-problematically arouses emotions, but only to the extent that we are not occurrently attending to our epistemic relation to the fiction i.e. fully attending to the fact that the object of our response is merely fictional. In order to illuminate this idea I examine a recent proposal that the phenomenology of attention is partially non-attributive, and I argue that emotional phenomenology too shares this characteristic. (shrink)

ABSTRACT This paper explores the role of aesthetic judgements in mathematics by focussing on the relationship between the epistemic and aesthetic criteria employed in such judgements, and on the nature of the psychological experiences underpinning them. I claim that aesthetic judgements in mathematics are plausibly understood as expressions of what I will call ‘aesthetic-epistemic feelings’ that serve a genuine cognitive and epistemic function. I will then propose a naturalistic account of these feelings in terms of sub-personal processes of representing and (...) assessing the relation between cognitive processes and certain properties of the stimuli at which they are directed. (shrink)

A short paper presented before the Fellows of the Center for the Study of Democratic Institutions during the academic year 1969-70, with an Introductory Note written nearly 50 years later. The paper describes the author's enduring personal philosophical precept; it is also an implicit encomium to individuals whose psychology establishes a dependable bridge between their rational convictions and their conduct.

I propose that Confucianism incorporates a latent commitment to the closely related epistemic virtues of curiosity and inquisitiveness. Confucian praise of certain people, practices, and dispositions is only fully intelligible if these are seen as exercises and expressions of epistemic virtues, of which curiosity and inquisitiveness are the obvious candidates. My strategy is to take two core components of Confucian ethical and educational practice and argue that each presupposes a specific virtue. To have and to express a ‘love of learning’ (...) requires the virtue of curiosity, while the normative practice of good questioning requires exercise of the virtue of inquisitiveness. Taken together, people engaging in the foundational Confucian project of moral self-cultivation must desire and acquire a range of epistemic goods, a set of dispositions that manifest in the virtues of curiosity and inquisitiveness, possession of which is admirable and excellent. Such, at least, is the claim defend in this chapter, which is an exercise in cross-cultural virtue epistemology. (shrink)

A study of the psychology of demoralization affecting university faculty in the liberal arts. This form of demoralization is not adequately understood in terms of the concept of career burnout. Instead, demoralization that affects university faculty in the liberal arts requires a broadened understanding of the historical and psychological situation in which these professors find themselves today.

In this paper I wish to defend a particular form of the traditional, and now almost wholly unfashionable, notion of an aesthetic attitude.

The collaboration of Language and Computing nv (L&C) and the Institute for Formal Ontology and Medical Information Science (IFOMIS) is guided by the hypothesis that quality constraints on ontologies for software ap-plication purposes closely parallel the constraints salient to the design of sound philosophical theories. The extent of this parallel has been poorly appreciated in the informatics community, and it turns out that importing the benefits of phi-losophical insight and methodology into application domains yields a variety of improvements. L&C’s LinKBase® (...) is one of the world’s largest medical domain ontologies. Its current primary use pertains to natural language processing ap-plications, but it also supports intelligent navigation through a range of struc-tured medical and bioinformatics information resources, such as SNOMED-CT, Swiss-Prot, and the Gene Ontology (GO). In this report we discuss how and why philosophical methods improve both the internal coherence of LinKBase®, and its capacity to serve as a translation hub, improving the interoperability of the ontologies through which it navigates. (shrink)

Pranayamic breathing, defined as a manipulation of breath movement, has been shown to contribute to a physiologic response characterized by the presence of decreased oxygen consumption, decreased heart rate, and decreased blood pressure, as well as increased theta wave amplitude in EEG recordings, increased parasympathetic activity accompanied by the experience of alertness and reinvigoration. The mechanism of how pranayamic breathing interacts with the nervous system affecting metabolism and autonomic functions remains to be clearly understood. It is our hypothesis that voluntary (...) slow deep breathing functionally resets the autonomic nervous system through stretchinduced inhibitory signals and hyperpolarization currents propagated through both neural and non-neural tissue which synchronizes neural elements in the heart, lungs, limbic system and cortex. During inspiration, stretching of lung tissue produces inhibitory signals by action of slowly adapting stretch receptors (SARs) and hyperpolarization current by action of fibroblasts. Both inhibitory impulses and hyperpolarization current are known to synchronize neural elements leading to the modulation of the nervous system and decreased metabolic activity indicative of the parasympathetic state. In this paper we propose pranayama’s physiologic mechanism through a cellular and systems level perspective,involving both neural and non-neural elements. This theoretical description describes a common physiological mechanism underlying pranayama and elucidate the role of the respiratory and cardiovascular system on modulating the autonomic nervous system. Along with facilitating the design of clinical breathing techniques for the treatment of autonomic nervous system and other disorders, this model will also validate pranayama as a topic requiring more research. (shrink)

Recent debates about the most appropriate political agents for realising social justice have largely focused on the potential value of national political parties on the one hand, and trade unions on the other. Drawing on the thought of Murray Bookchin, this article suggests that democratic municipalist agents – democratic associations of local residents that build and empower neighbourhood assemblies and improve the municipal provision of basic goods and services – can often also make valuable contributions to projects of just social (...) change. I identify a long-term and a more short-term argument for the value of democratic municipalist agency in Bookchin's thought and claim that the latter provides a compelling case for the valuable contributions this form of action can make to the achievement of a wide variety of visions of social justice. This provides a useful partial corrective to recent political theorising about the nature of the partisanship and trade unionism necessary to secure social justice. (shrink)

Abstract: In the Philebus, Socrates constructs a dialectical argument in which he purports to explain to Protarchus why the pleasure that spectators feel when watching comedy is a mixture of pleasure and pain. To do this he brings in phthonos (malice or envy) as his prime example (47d-50e). I examine the argument and claim that Socrates implicitly challenges Protarchus’ beliefs about himself as moderate and self-knowing. I discuss two reasons to think that more is at stake in the argument than (...) the mixed pleasure and pain of comic malice. (shrink)

The elimination of ambiguity and redundancy are unquestioned goals in the exact sciences, and yet, as this paper shows, there are inescapable lower bounds that constrain our wish to eliminate them. The author discusses contributions by Richard Hamming (inventor of the Hamming code) and Satosi Watanabe (originator of the Theorems of the Ugly Duckling). Utilizing certain of their results, the author leads readers to recognize the unavoidable, central roles in effective communication, of redundancy, and of ambiguity of meaning, reference, and (...) identification. (shrink)

Hundreds of evaluative studies of psychotherapy still leave the issue of its effectiveness unsettled. The author argues that such studies have ignored the major determinant of therapeutic effectiveness, the role of a patient’s belief in the successful outcome in therapy. Psychiatrist Thomas Szasz, one of the foremost critics of psychiatry, wrote of this paper: "It is one of the best, if not the best, that I have read on this subject.” It makes little sense to claim that a certain therapy (...) is effective or ineffective in itself; rather, there is a relation of mutual interaction among three terms: a patient’s ability to learn in a psychological context, a therapist’s ability to teach, and the capacity of an approach to therapy to engender in the patient the necessary belief in its effectiveness. -/- The paper is followed by a 4-page 2014 Afterword. (shrink)