The standard treatment of conditional probability leaves conditional probability undefined when the conditioning proposition has zero probability. Nonetheless, some find the option of extending the scope of conditional probability to include zero-probability conditions attractive or even compelling. This article reviews some of the pitfalls associated with this move, and concludes that, for the most part, probabilities conditional on zero-probability propositions are more trouble than they are worth.

Much of the intuitive appeal of evidentialism results from conflating two importantly different conceptions of evidence. This is most clear in the case of perceptual justification, where experience is able to provide evidence in one sense of the term, although not in the sense that the evidentialist requires. I argue this, in part, by relying on a reading of the Sellarsian dilemma that differs from the version standardly encountered in contemporary epistemology, one that is aimed initially at the epistemology of (...) introspection but which generalizes to theories of perceptual justification as well. (shrink)

To what extent are cognitive capacities, especially perceptual capacities, informationally encapsulated and to what extent are they cognitively penetrable? And why does this matter? Two reasons we care about encapsulation/penetrability are: (a) encapsulation is sometimes held to be definitional of modularity, and (b) penetrability has epistemological implications independent of modularity. I argue that modularity does not require encapsulation; that modularity may have epistemological implications independently of encapsulation; and that the epistemological implications of the cognitive penetrability of perception are messier than (...) is sometimes thought. (shrink)

Human cognitive acts are directed towards objects extended in space of a wide range of different types. What follows is a new proposal for bringing order into this typological clutter. The theory of spatially extended objects should make room not only for the objects of physics but also for objects at higher levels, including the objects of geography and of related disciplines. It should leave room for different types of boundaries, including both the bona fide boundaries which we find in (...) the physical world and the fiat (or human-demarcation-induced) boundaries with which much of geography has to deal. Two distinct axiomatic theories of boundaries are accordingly presented, and the need for both is examined in some detail. The resultant dual framework is shown to have application above all for our understanding of issues involving contact, division, and separation, issues which have posed serious difficulties for the ontological theories of boundaries that have been proposed hitherto. (shrink)

There is an undeniable tendency to dismiss women’s sexual assault allegations out of hand. However, this tendency is not monolithic—allegations that black men have raped white women are often met with deadly seriousness. I argue that contemporary rape culture is characterized by the interplay between rape myths that minimize rape, and myths that catastrophize rape. Together, these two sets of rape myths distort the epistemic resources that people use when assessing rape allegations. These distortions result in the unjust exoneration of (...) people we cannot conceive of as monstrous, while making it too easy to believe that some marginalized people could be rapists. I also argue that rape myths enable a novel kind of epistemic injustice. This injustice concerns how our assessments of trustworthiness and our assessments of plausibility interact. I argue that rape myths can result in runaway credibility deflations that can explain both why people fail to believe most women, and also why people may unjustly believe false allegations that white women have been raped by black men. (shrink)

In "Evil and the Justice of God", N.T. Wright presses the point that attempting to solve the philosophical problem of evil is an immature response to the existence of evil--a response that belittles the real problem of evil, which is just the fact that evil is bad and needs to be dealt with. As you might expect, I am not inclined to endorse this sort of sweeping indictment of the entire field of research on the philosophical problem of evil. (I (...) sort of doubt that Wright really meant to either.) But I do think that there is a kernel of truth in what I take to be Wright's fundamental objection to attempts to solve the philosophical problem of evil. In the first section of what follows, I will try briefly to explain why. I will then go on to argue that, despite this fact, certain efforts at solving the problem of evil avoid Wright's objection. Indeed, drawing on recent work by Elenore Stump, I will argue that one perfectly legitimate way to try to solve the philosophical problem of evil is to follow precisely what seems to be the main piece of advice in "Evil and the Justice of God": namely, to look more seriously than we have at the attitudes taken toward evil by human authors of and characters in the Bible, and to attend more carefully to what the Bible says about how God deals with evil. (shrink)

This is a supplement to our book "Le tribolazioni del filosofare. Comedia metaphysica ne la quale si tratta de li errori & de le pene de l’Infero". It features an entirely new canto of the poem (originally thought to be lost) along with an extensive commentary. The canto covers the first ring of the circle of the Sullen, which hosts the Adverse to the Possible, and deals with several philosophical questions concerning the metaphysics of modality.

The standard argument to the conclusion that artificial intelligence (AI) constitutes an existential risk for the human species uses two premises: (1) AI may reach superintelligent levels, at which point we humans lose control (the ‘singularity claim’); (2) Any level of intelligence can go along with any goal (the ‘orthogonality thesis’). We find that the singularity claim requires a notion of ‘general intelligence’, while the orthogonality thesis requires a notion of ‘instrumental intelligence’. If this interpretation is correct, they cannot be (...) joined as premises and the argument for the existential risk of AI turns out invalid. If the interpretation is incorrect and both premises use the same notion of intelligence, then at least one of the premises is false and the orthogonality thesis remains itself orthogonal to the argument to existential risk from AI. In either case, the standard argument for existential risk from AI is not sound.—Having said that, there remains a risk of instrumental AI to cause very significant damage if designed or used badly, though this is not due to superintelligence or a singularity. (shrink)

Inspired by recent breakthroughs in predictive modeling, practitioners in both industry and government have turned to machine learning with hopes of operationalizing predictions to drive automated decisions. Unfortunately, many social desiderata concerning consequential decisions, such as justice or fairness, have no natural formulation within a purely predictive framework. In efforts to mitigate these problems, researchers have proposed a variety of metrics for quantifying deviations from various statistical parities that we might expect to observe in a fair world and offered a (...) variety of algorithms in attempts to satisfy subsets of these parities or to trade o the degree to which they are satised against utility. In this paper, we connect this approach to fair machine learning to the literature on ideal and non-ideal methodological approaches in political philosophy. The ideal approach requires positing the principles according to which a just world would operate. In the most straightforward application of ideal theory, one supports a proposed policy by arguing that it closes a discrepancy between the real and the perfectly just world. However, by failing to account for the mechanisms by which our non-ideal world arose, the responsibilities of various decision-makers, and the impacts of proposed policies, naive applications of ideal thinking can lead to misguided interventions. In this paper, we demonstrate a connection between the fair machine learning literature and the ideal approach in political philosophy, and argue that the increasingly apparent shortcomings of proposed fair machine learning algorithms reflect broader troubles faced by the ideal approach. We conclude with a critical discussion of the harms of misguided solutions, a reinterpretation of impossibility results, and directions for future research. (shrink)

There is a basic distinction, in the realm of spatial boundaries, between bona fide boundaries on the one hand, and fiat boundaries on the other. The former are just the physical boundaries of old. The latter are exemplified especially by boundaries induced through human demarcation, for example in the geographic domain. The classical problems connected with the notions of adjacency, contact, separation and division can be resolved in an intuitive way by recognizing this two-sorted ontology of boundaries. Bona fide boundaries (...) yield a notion of contact that is effectively modeled by classical topology; the analogue of contact involving fiat boundaries calls, however, for a different account, based on the intuition that fiat boundaries do not support the open/closed distinction on which classical topology is based. In the presence of this two-sorted ontology it then transpires that mereotopology—topology erected on a mereological basis—is more than a trivial formal variant of classical point-set topology. (shrink)

This paper defends a new argument for enabling citizen participation in government: individuals must have genuine opportunities to try to change the law in order to be able to satisfy duties of conscience. Without such opportunities, citizens who regard systems of related laws as partially unjust face a moral dilemma. If they comply with these laws willingly without also trying to change them, they commit a pro tanto wrong by willingly participating in injustice . If they disobey, or if they (...) obey only to avoid sanction, they respond inadequately to the morally important purposes that the laws advance despite their injustice. Government should help citizens avoid this dilemma. This argument bolsters the non-instrumentalist view that responsiveness in the political process is desirable even if it does not promote just legislative outcomes. It also helps to explain what governments owe to citizens with minority political views. (shrink)

In this essay, the tension that Benacerraf identifies for theories of mathematical truth is used as the vehicle for arguing against a particular desideratum for semantic theories. More specifically, I place in question the desideratum that a semantic theory, provided for some area of discourse, should run in parallel with the semantic theory holding for the rest of the language. The importance of this desideratum is also made clear by means of tracing out the subtle implications of its rejection.

This article aims to serve as an accessible introduction to the idea of "ontotheology" and to the so-called "ontotheological critique of Western metaphysics" for which the twentieth-century German philosopher Martin Heidegger is especially well known. I begin by distinguishing two uses of "ontotheology" employed respectively by Kant and Heidegger, and go on to develop the Heideggerian interpretation and critique of ontotheology under three main headings: The Onto-theo-logical Constitution of Western Metaphysics; Ontotheology's Problematic Legacy: Anxiety, Calculation, Oblivion; and Ontotheology and God. (...) The article concludes with an annotated bibliography of helpful resources for learning more about ontotheology, the critique of ontotheology, and directions the critique has taken after Heidegger. (shrink)

There is a widespread belief that for their own safety and for the protection of wildlife, cats should be permanently kept indoors. Against this view, I argue that cat guardians have a duty to provide their feline companions with outdoor access. The argument is based on a sophisticated hedonistic account of animal well-being that acknowledges that the performance of species-normal ethological behavior is especially pleasurable. Territorial behavior, which requires outdoor access, is a feline-normal ethological behavior, so when a cat is (...) permanently confined to the indoors, her ability to flourish is impaired. Since cat guardians have a duty not to impair the well-being of their cats, the impairment of cat flourishing via confinement signifies a moral failing. Although some cats assume significant risks and sometimes kill wild animals when roaming outdoors, these important considerations do not imply that all cats should be deprived of the opportunity to access the outdoors. Indeed, they do not, by themselves, imply that any cat should be permanently kept indoors. (shrink)

Leibniz said that the universe, if God-created, would exist at a unique, conjoint, physical maximum: Of all possible worlds, it would be richest in phenomena, but its richness would arise from the simplest physical laws and initial conditions. Using concepts of ‘‘variety’’ and algorithmic informational complexity, Leibniz’ claim can be reframed as a testable theory. This theory predicts that the laws and conditions of the actual universe should be simpler, and the universe richer in phenomena, than the presence of observers (...) would require. Tegmark has shown that inhabitants of an infinite multiverse would likely observe simple laws and conditions, but also phenomenal richness just great enough to explain their existence. Empirical observations fit the claim of divine choice better than the claim of an infinite multiverse. The future of the universe, including its future information-processing capacity, is predicted to be endless. -/- . (shrink)

A compact overview of the main formal theories of parthood and of their mutual relationships, up to Classical Extensional Mereology. Written as an Appendix to the other essays included in the volume.

I defend the thesis that psychological states can be literally ascribed only to living creatures and not to nonliving machines, such as sophisticated robots. Defenders of machine consciousness do not sufficiently appreciate the importance of the biological nature of a subject for the psychological significance of its behavior. Simulations of a computer-controlled, nonliving autonomous robot cannot carry the same psychological meaning as animate behavior. Being a living creature is an essential link between genuinely expressive behavior and justified psychological ascriptions.

Judith Butler’s influential work in feminist theory is significant for its insight that sexist discourse in popular culture affects the agency and consciousness of individuals, but offers an inadequate account of how such discourse might be said to touch, shape, or affect selves. Supplementing Butler’s account of signification with a Deweyan pragmatic account of meaning-making and selective emphasis enables a consistent account of the relationship between discourse and subjectivity with a robust conception of the bodily organism. An analysis of the (...) popular discourse surrounding Hillary Clinton in the 2008 Presidential campaign demonstrates why this hybrid pragmatic/poststructuralist account is necessary. (shrink)

I articulate and the defend the following two claims: (i) it is a mistake to think that the structure of the world should mirror the structure of the theories by which we represent it, and through which we try to decipher it, simply because those theories appear to work; (ii) among the most deplorable consequences of this mistake is the widespread tendency to think that there must be a plurality of realities, or several different and irreducible levels of a stratified (...) reality, merely because our credo includes a plurality of theories each of which appears to be as important and trustworthy as it is irreducible to (if not overtly in conflict with) the others. (shrink)

There is a natural philosophical impulse (and, correspondingly, a great deal of pressure) to always ask for explanations, for example, explanations of why we act as we do. Kevin Mulligan has gone a very long way in disentangling the many different because’s, and the many senses of ‘because’, that tend to clutter our efforts to manage that impulse. This short dialogue is meant as a humble tribute to his work in this area.

Integrated Information Theory (IIT) identifies consciousness with having a maximum amount of integrated information. But a thing’s having the maximum amount of anything cannot be intrinsic to it, for that depends on how that thing compares to certain other things. IIT’s consciousness, then, is not intrinsic. A mereological argument elaborates this consequence: IIT implies that one physical system can be conscious while a physical duplicate of it is not conscious. Thus, by a common and reasonable conception of intrinsicality, IIT’s consciousness (...) is not intrinsic. It is then argued that to avoid the implication that consciousness is not intrinsic, IIT must abandon its Exclusion Postulate, which prohibits overlapping conscious systems. Indeed, theories of consciousness that attribute consciousness to physical systems, should embrace the view that some conscious systems overlap. A discussion of the admittedly counterintuitive nature of this solution, along with some medical and neuroscientific realities that would seem to support it, is included. (shrink)

Achieving space situational awareness requires, at a minimum, the identification, characterization, and tracking of space objects. Leveraging the resultant space object data for purposes such as hostile threat assessment, object identification, and conjunction assessment presents major challenges. This is in part because in characterizing space objects we reference a variety of identifiers, components, subsystems, capabilities, vulnerabilities, origins, missions, orbital elements, patterns of life, operational processes, operational statuses, and so forth, which tend to be defined in highly heterogeneous and sometimes inconsistent (...) ways. The Space Domain Ontologies are designed to provide a consensus-based realist framework for formulating such characterizations in a way that is both consistent and computable. Space object data are aligned with classes and relations in a suite of ontologies built around the existing Space Object Ontology. They are stored in a dynamically updated Resource Description Framework triple store, which can be queried to support space situational awareness and the needs of spacecraft operators and analysts. This paper provides an overview of the Space Domain Ontologies and their development and use. It presents the motivation for and advantages of the Space Domain Ontologies, including the benefits they provide for enhancing and maintaining long-term space situational awareness. (shrink)

We can see mereology as a theory of parthood and topology as a theory of wholeness. How can these be combined to obtain a unified theory of parts and wholes? This paper examines various non-equivalent ways of pursuing this task, with specific reference to its relevance to spatio-temporal reasoning. In particular, three main strategies are compared: (i) mereology and topology as two independent (though mutually related) chapters; (ii) mereology as a general theory subsuming topology; (iii) topology as a general theory (...) subsuming mereology. Some more speculative strategies and directions for further research are also considered. (shrink)

The concept of niche (setting, context, habitat, environment) has been little studied by ontologists, in spite of its wide application in a variety of disciplines from evolutionary biology to economics. What follows is a first formal theory of this concept, a theory of the relations between objects and their niches. The theory builds upon existing work on mereology, topology, and the theory of spatial location as tools of formal ontology. It will be illustrated above all by means of simple biological (...) examples, but the concept of niche should be understood as being, like concepts such as part, boundary, and location, a structural concept that is applicable in principle to a wide range of different domains. (shrink)

This response addresses the excellent responses to my book provided by Heather Douglas, Janet Kourany, and Matt Brown. First, I provide some comments and clarifications concerning a few of the highlights from their essays. Second, in response to the worries of my critics, I provide more detail than I was able to provide in my book regarding my three conditions for incorporating values in science. Third, I identify some of the most promising avenues for further research that flow out of (...) this interchange. (shrink)

There are conflicting intuitions concerning the status of a boundary separating two adjacent entities (or two parts of the same entity). The boundary cannot belong to both things, for adjacency excludes overlap; and it cannot belong to neither, for nothing lies between two adjacent things. Yet how can the dilemma be avoided without assigning the boundary to one thing or the other at random? Some philosophers regard this as a reductio of the very notion of a boundary, which should accordingly (...) be treated a mere façon de parler. In this paper I resist this temptation and examine some ways of taking the puzzle at face value within a realist perspective—treating boundaries as ontologically on a par with (albeit parasitic upon) extended parts. (shrink)

Philosophers of science are increasingly interested in engaging with scientific communities, policy makers, and members of the public; however, the nature of this engagement has not been systematically examined. Instead of delineating a specific kind of engaged philosophy of science, as previous accounts have done, this article draws on literature from outside the discipline to develop a framework for analyzing different forms of broadly engaged philosophy of science according to two key dimensions: social interaction and epistemic integration. Clarifying the many (...) forms of engagement available to philosophers of science can advance future scholarship on engagement and promote more strategic engagement efforts. (shrink)

Some have argued that the vagueness exhibited by geographic names and descriptions such as ‘Albuquerque’, ‘the Outback’, or ‘Mount Everest’ is ultimately ontological: these terms are vague because they refer to vague objects, objects with fuzzy boundaries. I take the opposite stand and hold the view that geographic vagueness is exclusively semantic, or conceptual at large. There is no such thing as a vague mountain. Rather, there are many things where we conceive a mountain to be, each with its precise (...) boundary, and when we say ‘Everest’ we are just being vague as to which thing we are referring to. This paper defends this view against some plausible objections. (shrink)

This essay uses the concept of reconstruction to make an argument and an intervention in relation to the practice and study of black aesthetics. The argument will have to do with the parochialism of John Dewey, the institutional inertia of professional philosophy, the aesthetic dimensions of the US politics of reconstruction, the centrality of reconstructionist politics to the black aesthetic tradition, and the staging of a reconstructionist argument in the film, Black Panther (Coogler 2018). The intervention aims to address the (...) fact that arguments like these tend not to register properly because of certain reflexive and customary limits on some common forms of philosophical inquiry. The sort of professional philosophy I was raised to practise and value tends not to be particularly inclusive and open-minded, especially when it comes to subjects that bear directly on the thoughts, lives, and practices of people racialized as black. black aesthetics, by contrast, is an inherently ecumenical enterprise, reaching across disciplinary and demographic boundaries to build communities of practice and exchange. Hence the need for an intervention: to create the space for arguments and the people who work with them to function across disciplinary and demographic contexts. (shrink)

Are there any bona fide boundaries, i.e., boundaries that carve at the joints? Or is any boundary —hence any object—the result of a fiat articulation reflecting our cognitive biases and our so-cial practices and conventions? Does the choice between these two options amount to a choice between realism and wholesome relativism?

The modal collapse objection to classical theism has received significant attention among philosophers as of late. My aim in this paper is to advance this blossoming debate. First, I briefly survey the modal collapse literature and argue that classical theists avoid modal collapse if and only if they embrace an indeterministic link between God and his effects. Second, I argue that this indeterminism poses two challenges to classical theism. The first challenge is that it collapses God’s status as an intentional (...) agent who knows and intends what he is bringing about in advance. The second challenge is that it collapses God’s providential control over which creation obtains. (shrink)

Surely God, as a perfectly rational being, created the universe for some _reason_. But is God’s creating the universe for a reason compatible with divine impassibility? That is the question I investigate in this article. The _prima facie_ tension between impassibility and God’s creating for a reason arises from impassibility’s commitment to God being uninfluenced by anything _ad extra_. If God is uninfluenced in this way, asks the detractor, how could he be moved to create anything at all? This _prima (...) facie_ tension has recently been formalized and dubbed the ‘Problem of Arbitrary Creation’. In this article, I defend a new extension of this problem. I begin by characterizing classical theism, divine simplicity, and divine impassibility. I then spell out the Problem of Arbitrary Creation as developed by R. T. Mullins. I next raise a worry for Mullins’ version of the argument. Finally, I extend the argument and show how my extension avoids the aforementioned worry. (shrink)

One of the attractions of the Humean instrumentalist theory of practical rationality is that it appears to offer a special connection between an agent's reasons and her motivation. The assumption that Humeanism is able to assert a strong connection between reason and motivation has been challenged, most notably by Christine Korsgaard. She argues that Humeanism is not special in the connection it allows to motivation. On the contrary, Humean theories of practical rationality do connect reasons and motivation in a unique (...) and attractive way, though the nature of this connection has sometimes been misunderstood by both defenders and detractors of the theory. (shrink)

Many believe that the rational evaluation of actions depends on the rational evaluation of even basic desires. Hume, though, viewed desires as "original existences" which cannot be contrary to either truth or reason. Contemporary critics of Hume, including Norman, Brandt and Parfit, have sought a basis for the rational evaluation of desires that would deny some basic desires reason-giving force. I side with Hume against these modern critics. Hume's concept of rational evaluation is admittedly too narrow; even basic desires are, (...) despite their nonrepresentational nature, subject to rational evaluation. But this evaluation is not relevant to their tendency to generate reasons for action, and does not undermine the spirit of the Humean view of rational action. (shrink)

These essays draw on work in the history and philosophy of science, the philosophy of mind and language, the development of concepts in children, conceptual..

We should not be creating conscious, humanoid agents but an entirely new sort of entity, rather like oracles, with no conscience, no fear of death, no distracting loves and hates.

What methodological approaches do research programs use to investigate the world? Elisabeth Lloyd’s Logic of Research Questions (LRQ) characterizes such approaches in terms of the questions that the researchers ask and causal factors they consider. She uses the Logic of Research Questions Framework to criticize adaptationist programs in evolutionary biology for dogmatically assuming selection explanations of the traits of organisms. I argue that Lloyd’s general criticism of methodological adaptationism is an artefact of the impoverished LRQ. My Ordered Factors Proposal extends (...) the LRQ to characterize approaches with sequences of questions and factors. I highlight the importance that ordering one’s investigation plays in approaches at the level of adaptationism by analyzing two research programs in community ecology: competitionists and neutralists. Competitionists and neutralists take opposed starting points and use explanatory and developmental heuristics to consider more factors in due time. On the Ordered Factors Proposal, these approaches are not only the ecological factors they are open to considering but also the order in which they will consider them. My disagreement with Lloyd’s over how to characterize methodological approaches reflects different views about methodological monism and pluralism. (shrink)

This article explores the meeting of two approaches towards philosophy and education: the philosophy for children approach advocated by Lipman and others, and Schmid’s philosophical concept of Lebenskunst. Schmid explores the concept of the beautiful or good life by asking what is necessary for each individual to be able to develop their own art of living and which aspects of life are significant when shaping a good and beautiful life. One element of Schmid’s theory is the practical application of philosophy (...) through the notions of Bildung, reflection, prudence and practical wisdom, as well as the requirement for each individual to take responsibility for actively shaping their life as an artwork. In this sense, each person is the artist responsible for living their own beautiful life. We argue that there are useful parallels between Schmid’s concept of the art of living and P4C, such as the ideal of a holistic philosophy that is “lived.” The pragmatic approach of P4C focuses on the embodied learner who practices critical, caring and creative thinking. Both P4C and Schmid’s theory are reminiscent of the Aristotelian notion of practical wisdom, which allows for an approach to an education for life that prepares students to develop their own art of living. (shrink)

A critical review of the main themes arising out of recent literature on the semantics of ordinary event talk. The material is organized in four sections: (i) the nature of events, with emphasis on the opposition between events as particulars and events as universals; (ii) identity and indeterminacy, with emphasis on the unifier/multiplier controversy; (iii) events and logical form, with emphasis on Davidson’s treatment of the form of action sentences; (iv) linguistic applications, with emphasis on issues concerning aspectual phenomena, the (...) telicity/atelicity distinction, the treatment of statives, and temporal quantification. (shrink)

In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered informally in Appendix B of Russell’s Principles of Mathematics. It seems that the proposition, p, stating the logical product of the class w, namely, the class of all propositions stating the logical product of a class they are not in, is in w if and only if it is not. Frege believed that this paradox was avoided within his philosophy (...) due to his distinction between sense (Sinn) and reference (Bedeutung). However, I show that while the paradox as Russell formulates it is ill-formed with Frege’s extant logical system, if Frege’s system is expanded to contain the commitments of his philosophy of language, an analogue of this paradox is formulable. This and other concerns in Fregean intensional logic are discussed, and it is discovered that Frege’s logical system, even without its naive class theory embodied in its infamous Basic Law V, leads to inconsistencies when the theory of sense and reference is axiomatized therein. (shrink)

The paper investigates the link between the theory of modal occurrents (where individuals are allowed to stretch across possible worlds) and Lewis’s counterpart theory (where all individuals are world-bound but have counterparts in other worlds). First I show how to interpret modal talk extensionally within the theory of modal occurrents. Then I show that the assumption that worlds be pairwise discrete is all that is needed to reconstruct the bulk of counterpart theory (i.e., to define the concept of a counterpart (...) and to derive the standard postulates governing that concept) in terms of the theory of modal occurrents. Finally, I argue that this reconstruction allows us to view the indeterminacy of our modal intuitions as being part and parcel with the indeterminacy of our criteria for individuating modal occurrents, and that this indeterminacy is naturally explained in terms of linguistic (as opposed to ontic) vagueness. (shrink)

According to Paul Draper and Ryan Nichols the practice of philosophy of religion—and especially its theistically committed practitioners—regularly violate norms of rationality, objectivity, and impartiality in the review, assessment, and weighing of evidence. (Draper and Nichols, 2013). We consider the charge of epistemic partisanship and show that the observational data does not illustrate a norm-violating form of inquiry. The major oversight in the charge of epistemic partiality is the epistemically central role of prior probabilities in determining the significance of incongruent (...) evidence. We argue that reasonably divergent views on the likelihood of theism on incongruent evidence can also account for differences in significance. We conclude that it is an epistemic requirement that committed theists regard incongruent evils as much less significant evidence against theism than do lukewarm theists, agnostics, or atheists. Differences in the significance of evidence quite properly reflect differences in commitments to theism. (shrink)

A plausible thought about vagueness is that it involves semantic incompleteness. To say that a predicate is vague is to say (at the very least) that its extension is incompletely specified. Where there is incomplete specification of extension there is indeterminacy, an indeterminacy between various ways in which the specification of the predicate might be completed or sharpened. In this paper we show that this idea is bound to founder by presenting an argument to the effect that there are vague (...) predicates which cannot be sharpened in such a way as to meet certain basic constraints (of penumbral connection and public accessibility) that must be imposed on the very notion of a sharpening. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional functions and (...) universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

Since its first appearance in 1966, the notion of a supervaluation has been regarded by many as a powerful tool for dealing with semantic gaps. Only recently, however, applications to semantic gluts have also been considered. In previous work I proposed a general framework exploiting the intrinsic gap/glut duality. Here I also examine an alternative account where gaps and gluts are treated on a par: although they reflect opposite situations, the semantic upshot is the same in both cases--the value of (...) some expressions is not uniquely defined. Other strategies for generalizing supervaluations are considered and some comparative facts are discussed. (shrink)

It is well known that the circumflex notation used by Russell and Whitehead to form complex function names in Principia Mathematica played a role in inspiring Alonzo Church's “lambda calculus” for functional logic developed in the 1920s and 1930s. Interestingly, earlier unpublished manuscripts written by Russell between 1903–1905—surely unknown to Church—contain a more extensive anticipation of the essential details of the lambda calculus. Russell also anticipated Schönfinkel's combinatory logic approach of treating multiargument functions as functions having other functions as value. (...) Russell’s work in this regard seems to have been largely inspired by Frege’s theory of functions and “value-ranges”. This system was discarded by Russell due to his abandonment of propositional functions as genuine entities as part of a new tack for solving Russell’s paradox. In this article, I explore the genesis and demise of Russell’s early anticipation of the lambda calculus. (shrink)

In Van Cleve's "Problems from Kant," it is suggested that his interpretation of Kant's metaphysics resolves the problem of "The Neglected Alternative"--the worry that Kant failed to consider that space and time, while perhaps necessary for sensible intuition, could also be objectively real in-themselves. However, it is far from clear how Van Cleve is supposed to have solved this objection. This paper examines why Van Cleve might have thought the problem resolved on his view, and argues that there is no (...) reason to think the problem has in fact been resolved. (shrink)