The paper points out that the modern formulation of Bohm’s quantum theory known as Bohmian mechanics is committed only to particles’ positions and a law of motion. We explain how this view can avoid the open questions that the traditional view faces according to which Bohm’s theory is committed to a wave-function that is a physical entity over and above the particles, although it is defined on configuration space instead of three-dimensional space. We then enquire into the status of the (...) law of motion, elaborating on how the main philosophical options to ground a law of motion, namely Humeanism and dispositionalism, can be applied to Bohmian mechanics. In conclusion, we sketch out how these options apply to primitive ontology approaches to quantum mechanics in general. (shrink)

As philosophical and scientific arguments for free will skepticism continue to gain traction, we are likely to see a fundamental shift in the way people think about free will and moral responsibility. Such shifts raise important practical and existential concerns: What if we came to disbelieve in free will? What would this mean for our interpersonal relationships, society, morality, meaning, and the law? What would it do to our standing as human beings? Would it cause nihilism and despair as some (...) maintain or would it rather have a humanizing effect on our practices and policies, freeing us from the negative effects of belief in free will? In this chapter we consider the practical implications of free will skepticism and argue that life without free will and basic desert moral responsibility would not be as destructive as many people believe. We argue that prospects of finding meaning in life or of sustaining good interpersonal relationships, for example, would not be threatened. On treatment of criminals, we argue that although retributivism and severe punishment, such as the death penalty, would be ruled out, preventive detention and rehabilitation programs would still be justified. While we will touch on all these issues below, our focus will be primarily on this last issue. -/- We begin in section I by considering two different routes to free will skepticism. The first denies the causal efficacy of the types of willing required for free will and receives its contemporary impetus from pioneering work in neuroscience by Benjamin Libet, Daniel Wegner, and John-Dylan Haynes. The second, which is more common in the philosophical literature, does not deny the causal efficacy of the will but instead claims that whether this causal efficacy is deterministic or indeterministic, it does not achieve the level of control to count as free will by the standards of the historical debate. We argue that while there are compelling objections to the first route—e.g., Al Mele (2009), Eddy Nahmias (2002, 2011), and Neil Levy (2005)—the second route to free will skepticism remains intact. In section II we argue that free will skepticism allows for a workable morality, and, rather than negatively impacting our personal relationships and meaning in life, may well improve our well-being and our relationships to others since it would tend to eradicate an often destructive form of moral anger. In section III we argue that free will skepticism allows for adequate ways of responding to criminal behavior—in particular, incapacitation, rehabilitation, and alternation of relevant social conditions—and that these methods are both morally justified and sufficient for good social policy. We present and defend our own preferred model for dealing with dangerous criminals, an incapacitation account built on the right to self-protection analogous to the justification for quarantine (see Pereboom 2001, 2013, 2014a; Caruso 2016a), and we respond to recent objections to it by Michael Corrado and John Lemos. (shrink)

Event-causal libertarians maintain that an agent’s settling of whether certain states-of-affairs obtain on a particular occasion can be reduced to the causing of events (e.g., bodily motions, coming to a resolution) by certain mental events or states, such as certain desires, beliefs and/or intentions. Agent-causal libertarians disagree. A common critique against event-causal libertarian accounts is that the agent’s role of settling matters is left unfilled and the agent “disappears” from such accounts—a problem known as the disappearing agent problem. Recently, Franklin (...) (Philos Stud 170:413–432, 2014) has argued that an “enriched” event-causal account can overcome this problem. Franklin, however, doesn’t consider whether, as Pereboom (J Philos 99:499–531, 2015) argues, the agent as decider of “torn decisions” disappears from even enriched accounts. As I show here, Franklin’s enriched account takes some modifying if it is to overcome Pereboom’s torn decision problem—a special case of the disappearing agent problem. However, as I also show, there is a more fundamental problem facing event-causal libertarian accounts. It is implausible that an agent qua event or state simultaneously settles whether and how she intervenes. The upshot is that events and/or states lack an ability essential to completely fulfilling an agent’s role qua settler. This isn’t a problem for agent-causal accounts like the one offered by Steward (A metaphysics for freedom. Oxford University Press, Oxford, 2012) because in as much as an agent qua substance settles whether her body moves in certain ways on certain occasions she simultaneously settles whether and how she intervenes. As a consequence, event-causal libertarians face a dilemma, or rather several, that agent-causal libertarians do not. This may ultimately be explained by the irreducibility of causation by agents to causation by events. (shrink)

forall x: Calgary is a full-featured textbook on formal logic. It covers key notions of logic such as consequence and validity of arguments, the syntax of truth-functional propositional logic TFL and truth-table semantics, the syntax of first-order (predicate) logic FOL with identity (first-order interpretations), symbolizing English in TFL and FOL, and Fitch-style natural deduction proof systems for both TFL and FOL. It also deals with some advanced topics such as modal logic, soundness, and functional completeness. Exercises with solutions are available. (...) It is provided in PDF (for screen reading, printing, and a special version for dyslexics), HTML, and in LaTeX source code. (shrink)

Virtues, broadly understood as stable and robust dispositions for certain responses across morally relevant situations, have been a growing topic of interest in psychology. A central topic of discussion has been whether studies showing that situations can strongly influence our responses provide evidence against the existence of virtues (as a kind of stable and robust disposition). In this review, we examine reasons for thinking that the prevailing methods for examining situational influences are limited in their ability to test dispositional stability (...) and robustness; or, then, whether virtues exist. We make the case that these limitations can be addressed by aggregating repeated, cross-situational assessments of environmental, psychological and physiological variables within everyday life—a form of assessment often called ecological momentary assessment (EMA, or experience sampling). We, then, examine how advances in smartphone application (app) technology, and their mass adoption, make these mobile devices an unprecedented vehicle for EMA and, thus, the psychological study of virtue. We, additionally, examine how smartphones might be used for virtue development by promoting changes in thought and behavior within daily life; a technique often called ecological momentary intervention (EMI). While EMA/I have become widely employed since the 1980s for the purposes of understanding and promoting change amongst clinical populations, few EMA/I studies have been devoted to understanding or promoting virtues within non-clinical populations. Further, most EMA/I studies have relied on journaling, PDAs, phone calls and/or text messaging systems. We explore how smartphone app technology provides a means of making EMA a more robust psychological method, EMI a more robust way of promoting positive change, and, as a result, opens up new possibilities for studying and promoting virtues. (shrink)

We are developing the Neurological Disease Ontology (ND) to provide a framework to enable representation of aspects of neurological diseases that are relevant to their treatment and study. ND is a representational tool that addresses the need for unambiguous annotation, storage, and retrieval of data associated with the treatment and study of neurological diseases. ND is being developed in compliance with the Open Biomedical Ontology Foundry principles and builds upon the paradigm established by the Ontology for General Medical Science (OGMS) (...) for the representation of entities in the domain of disease and medical practice. Initial applications of ND will include the annotation and analysis of large data sets and patient records for Alzheimer’s disease, multiple sclerosis, and stroke. (shrink)

Initial responses to questionnaires used to assess participants' understanding of informed consent for malaria vaccine trials conducted in the United States and Mali were tallied. Total scores were analyzed by age, sex, literacy (if known), and location. Ninety-two percent (92%) of answers by United States participants and 85% of answers by Malian participants were correct. Questions more likely to be answered incorrectly in Mali related to risk, and to the type of vaccine. For adult participants, independent predictors of higher scores (...) were younger age and female sex in the United States, and male sex in Mali. Scores in the United States were higher than in Mali (P = 0.005). Despite this difference participants at both sites were well informed overall. Although interpretation must be qualified because questionnaires were not intended as research tools and were not standardized among sites, these results do not support concerns about systematic low understanding among research participants in developing versus developed countries. (shrink)

Libet-style experiments and volitions -- The need for an analysis of human agency -- An Aristotelian account of human agency -- Compatibilist concerns -- Choices and voluntary conduct -- Neuronal mechanisms and voluntary conduct -- A metaphysical framework : voluntary agency, emergence and downward causation.

Several physicists, among them Hawking, Page, Coule, and Carroll, have argued against the probabilistic intuitions underlying fine-tuning arguments in cosmology and instead propose that the canonical measure on the phase space of Friedman-Robertson-Walker space-times should be used to evaluate fine-tuning. They claim that flat space-times in this set are actually typical on this natural measure and that therefore the flatness problem is illusory. I argue that they misinterpret typicality in this phase space and, moreover, that no conclusion can be drawn (...) at all about the flatness problem by using the canonical measure alone. (shrink)

Abstract: Giorgio Agamben's recent works have been preoccupied with a certain obscure passage from St. Paul's 'Second Epistle to the Thessalonians,' which describes the portentous events that must occur before the Second Coming of Jesus Christ can take place---specifically, the appearance of a 'man of lawlessness' (the Antichrist?) and the exposure of who or what is currently restraining the 'man of lawlessness' from being exposed as the Antichrist: a mysterious agency called the 'katechon.' In 'The Mystery of Evil: Benedict XVI (...) and the End of Days,' this obscure passage is connected with the abdication of Pope Benedict XVI through certain equally obscure references to the fourth century theologian, Tyconius, although the precise connection between these apocalyptic events and their mysterious agents remains obscure. This review attempts to shed some critical light upon this cryptic subject, both by considering the world-historical context of St. Paul's epistle, and by asking what role these apocalyptic figures play in Agamben's political theology. But, to begin with, the review also asks: Who, really, is the Antichrist? a scarcely rhetorical question that demands a sardonic answer. Although various candidates from contemporary politics are proposed, the review finally argues that the Antichrist and the katechon are not specific individuals or worldly institutions, but rather refer to world-historical trends within Western European Christian civilization itself that have resulted in what Friedrich Nietzsche called 'the devaluation of all higher values' and 'the desecration of the Christian moral world-view': an apocalyptic turn of events which Nietzsche equally sardonically referred to in 'The Antichrist.'. (shrink)

Enactivism has the potential to provide a sense of teleology in purpose-directed action, but without violating the principles of efficient causation. Action can be distinguished from mere reaction by virtue of the fact that some systems are self-organizing. Self-organization in the brain is reflected in neural plasticity, and also in the primacy of motivational processes that initiate the release of neurotransmitters necessary for mental and conscious functions, and which guide selective attention processes. But in order to flesh out the enactivist (...) approach in a way that is plausible and not merely an epiphenomenon, it is necessary to confront the problem of causal closure in a serious way. Atoms and molecules in the brain do not violate the normal causal principles that govern them in other contexts. The theory of self-organizing dynamical systems must be developed in a way that is compatible with causal closure rather than contradicting it. (shrink)

Phenomenology and physiology become commensurable through a self-organizational physiology and an "enactive" view of consciousness. Self-organizing processes appropriate and replace their own needed substrata, rather than merely being caused by interacting components. Biochemists apply this notion to the living/nonliving distinction. An enactive approach sees consciousness as actively executed by an agent rather than passively reacting to stimuli. Perception does not result from mere stimulation of brain areas by sensory impulses; unless motivated organismic purposes first anticipate and "look for" emotionally relevant.stimuli, (...) brain-sensory processing is not accompanied by perceptual consciousness. To see a soccer ball requires looking for it in the right place. The sell-organizing, emotionally motivated agent instigates this looking-for activity. (shrink)

This entry surveys a range of proposed solutions to the problem of intentionality, that is, the problem of explaining how human thoughts can be about, or be directed toward, objects. The family of solutions described here takes the content of a mental representation—what that concept represents or is about—to be a function of causal relations between mental representations and their typically external objects. This emphasis on causal relations should be understood broadly, however, so as to cover theories couched in terms (...) of law-like natural relations or the law-governed way in which one natural event carries information about another. (shrink)

I respond to Karola Stotz's criticisms of my previously published challenges to the inference from developmental systems theory to an extended view of cognition.

In Supersizing the Mind: Embodiment, Action, and Cognitive Extension (Clark, 2008), Andy Clark bolsters his case for the extended mind thesis and casts a critical eye on some related views for which he has less enthusiasm. To these ends, the book canvasses a wide range of empirical results concerning the subtle manner in which the human organism and its environment interact in the production of intelligent behavior. This fascinating research notwithstanding, Supersizing does little to assuage my skepticism about the hypotheses (...) of extended cognition and extended mind. In particular, Supersizing fails to make the case for the extended view as a revolutionary thesis in the theoretical foundations of cognitive science. (shrink)

Abstract: Colombia's armed conflict, one of the longest in the world, requires a special approach to transitional justice strategies. Institutionalized practices customs. Approach it from a perspective that, with the legislative and judicial actions, give rise to political-educational and ethical-cultural actions is key. Recognition and legitimacy are complementary. With Carlos S. Nino, we see the law as a collective action in time.

Philosophers have rightly condemned lookism—that is, discrimination in favor of attractive people or against unattractive people—in education, the justice system, the workplace and elsewhere. Surprisingly, however, the almost universal preference for attractive romantic and sexual partners has rarely received serious ethical scrutiny. On its face, it’s unclear whether this is a form of discrimination we should reject or tolerate. I consider arguments for both views. On the one hand, a strong case can be made that preferring attractive partners is bad. (...) The idea is that choosing partners based on looks seems essentially similar to other objectionable forms of discrimination. (In particular, the preference for attractive partners is arguably both unfair and harmful to a significant degree.) One can try to resist this conclusion in several ways. I consider three possible replies. The first has to do with the possibility of controlling our partner preferences. The second pertains to attractiveness and “good genes”. The last attempts to link certain aspects of attractiveness to a prospective partner’s personality and values. I argue that the first two replies fail conclusively, while the third only amounts to a limited defense of a particular kind of attractiveness preference. So the idea that we should often avoid preferring attractive partners is compelling. (shrink)

Some philosophers argue that mental properties are ontologically distinct from physical properties and that, therefore, physicalism ought to be rejected. There are philosophers who feel the force of this challenge but who wish to maintain their physicalism. They suggest that mentality is grounded in inscrutable properties or ‘incrutables’: properties that are not revealed through physical enquiry but that do not violate physicalism. Our analysis reveals that appealing to inscrutables is not a successful strategy for these physicalists, for the following reasons: (...) first, inscrutables likely do violate the conditions of physicalism; second, inscrutables lend greater support to panpsychism than physicalism; third, there is good reason to be agnostic as to whether or not inscrutables count as physical properties. Each of these reasons undermines the physicalist’s purpose in positing inscrutables. If one wishes to remain a physicalist, they ought to direct their philosophical analysis and energies toward revisiting and defeasing the arguments that purport to show that mental properties are ontologically distinct from physical properties. (shrink)

This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. While (...) non-adjunctivism is a well-known option, the other view is not so much studied nowadays, but it was not unknown in the tradition, and there are some positive suggestions, in recent literature, that the position is plausible and deserves to be developed. The article compares conjunctivism, non-adjunctivism and dialetheism, then focuses on some possible justifications, costs and benefits of the conjunctive view. (shrink)

Vendler’s :161–173, 1979) puzzle about imagination is that the sentences ‘Imagine swimming in that water’ and ‘Imagine yourself swimming in that water’ seem at once semantically different and semantically the same. They seem semantically different, since the first requires you to imagine ’from the inside’, while the second allows you to imagine ’from the outside.’ They seem semantically the same, since despite superficial dissimilarity, there is good reason to think that they are syntactically and lexically identical. This paper sets out (...) the puzzle and offers a novel solution. Our proposal is that, just as there is knowledge-wh, there is also imagining-wh and that the inside/outside distinction Vendler points to is properly understood as a distinction within imagining-wh. In particular, to imagine swimming from the inside is to imagine what it feels like to swim, while to imagine swimming from the outside is to imagine what it looks like to swim. We show that this proposal is well grounded in both the semantics and syntax of ‘imagine.’ We also argue it makes better sense than its rivals of the data Vendler found so puzzling. (shrink)

Motivated by the question of responsible AI and value alignment, I seek to offer a uniquely Foucauldian reconstruction of the problem as the emergence of an ethical subject in a disciplinary setting. This reconstruction contrasts with the strictly human-oriented programme typical to current scholarship that often views technology in instrumental terms. With this in mind, I problematise the concept of a technological subjectivity through an exploration of various aspects of ChatGPT in light of Foucault’s work, arguing that current systems lack (...) the reflexivity and self-formative characteristics inherent in the notion of the subject. By drawing upon a recent dialogue between Foucault and phenomenology, I suggest four techno-philosophical desiderata that would address the gaps in this search for a technological subjectivity: embodied self-care, embodied intentionality, imagination and reflexivity. Thus I propose that advanced AI be reconceptualised as a subject capable of “technical” self-crafting and reflexive self-conduct, opening new pathways to grasp the intertwinement of the human and the artificial. This reconceptualization holds the potential to render future AI technology more transparent and responsible in the circulation of knowledge, care and power. (shrink)

Multidimensional adjectives are ubiquitous in natural language. An adjective F is multidimensional just in case whether F applies to an object or pair of objects depends on how those objects stand with respect to multiple underlying dimensions of F-ness. Developing a semantics for multidimensional adjectives requires us to address the problem of dimensional aggregation: how do the application conditions of an adjective F in its positive and comparative forms depend on its underlying dimensions? Here we develop a semantics for multidimensional (...) adjectives that incorporates aggregation functions. We then explore an analogy between dimensional aggregation and preference aggregation, bringing results from social choice theory to bear on the number and kind of aggregation functions that are admissible in a context. These results suggest that, for any given adjective, there will often be multiple aggregation functions admissible, meaning that multidimensional comparatives are often vague. (shrink)

Susan Schneider (2019) has proposed two new tests for consciousness in AI (artificial intelligence) systems, the AI Consciousness Test and the Chip Test. On their face, the two tests seem to have the virtue of proving satisfactory to a wide range of consciousness theorists holding divergent theoretical positions, rather than narrowly relying on the truth of any particular theory of consciousness. Unfortunately, both tests are undermined in having an ‘audience problem’: Those theorists with the kind of architectural worries that motivate (...) the need for such tests should, on similar grounds, doubt that the tests establish the existence of genuine consciousness in the AI in question. Nonetheless, the proposed tests constitute progress, as they could find use by some theorists holding fitting views about consciousness and perhaps in conjunction with other tests for AI consciousness. (shrink)

This paper argues that the concept and role of ‘institutional racism’ in contemporary discussions of race should be reconsidered. It starts by distinguishing between ‘intrinsic institutional racism’, which holds that institutions are racist in virtue of their constitutive features, and ‘extrinsic institutional racism’, which holds that institutions are racist in virtue of their negative effects. It accepts intrinsic institutional racism, but argues that a ‘disparate impact’ conception of extrinsic conception faces a number of objections, the most serious being that it (...) has no plausible account of what it is that makes extrinsically racist institutions racist. It also argues that claims about the explanatory indispensability of institutional racism are overstated (individual racism is at least as important), critiques structural approaches to racial inequality, and suggests that there is reason to doubt whether institutional reform can provide us with all that morality may require in the racial domain. (shrink)

Over decades of teaching systematic theology at Union Theological Seminary (New York), Christopher Morse has set out to salvage “dogmatics” as a postmodern theological discipline that nevertheless retains a (more or less literal) construal of the apocalyptic gospel message. This article attempts to clarify this project in conversation with William James’ best-known work on religious belief.

The verb 'imagine' admits of perspectival modification: we can imagine things from above, from a distant point of view, or from the point of view of a Russian. But in such cases, there need be no person, either real or imagined, who is above or distant from what is imagined, or who has the point of view of a Russian. We call this the puzzle of perspectival displacement. This paper sets out the puzzle, shows how it does not just concern (...) language, but also states of imagining themselves, and then presents a solution. The solution draws on the idea that many reports of imagining conceal a distinctive kind of question, and such concealed questions have an extra argument place for (what we will call) an experiencer from whose perspective things are imagined. This solution has a range of advantages over other proposals in the literature, and helps to advance two debates concerning perspectival engagement with fiction. (shrink)

The field of AI safety aims to prevent increasingly capable artificially intelligent systems from causing humans harm. Research on moral alignment is widely thought to offer a promising safety strategy: if we can equip AI systems with appropriate ethical rules, according to this line of thought, they'll be unlikely to disempower, destroy or otherwise seriously harm us. Deontological morality looks like a particularly attractive candidate for an alignment target, given its popularity, relative technical tractability and commitment to harm-avoidance principles. I (...) argue that the connection between moral alignment and safe behavior is more tenuous than many have hoped. In general, AI systems can possess either of these properties in the absence of the other, and we should favor safety when the two conflict. In particular, advanced AI systems governed by standard versions of deontology need not be especially safe. (shrink)

We discuss potential biorisks from large language models (LLMs). AI assistants based on LLMs such as ChatGPT have been shown to significantly reduce barriers to entry for actors wishing to synthesize dangerous, potentially novel pathogens and chemical weapons. The harms from deploying such bioagents could be further magnified by AI-assisted misinformation. We endorse several policy responses to these dangers, including prerelease evaluations of biomedical AIs by subject-matter experts, enhanced surveillance and lab screening procedures, restrictions on AI training data, and access (...) controls on biomedical AI. We conclude with a suggestion about future research directions in bioethics. (shrink)

Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation, understanding and other forms of epistemic progress. Although intertheoretic reduction is widely agreed to occur in pure mathematics as well as empirical science, the relationship between reduction and explanation in the mathematical setting has rarely been investigated in a similarly serious way. This paper examines an important particular case: the reduction of arithmetic to set theory. I claim that the reduction is unexplanatory. In defense (...) of this claim, I offer evidence from mathematical practice, and I respond to contrary suggestions due to Steinhart, Maddy, Kitcher and Quine. I then show how, even if set-theoretic reductions are generally not explanatory, set theory can nevertheless serve as a legitimate foundation for mathematics. Finally, some implications of my thesis for philosophy of mathematics and philosophy of science are discussed. In particular, I suggest that some reductions in mathematics are probably explanatory, and I propose that differing standards of theory acceptance might account for the apparent lack of unexplanatory reductions in the empirical sciences. (shrink)

Prior’s puzzle is standardly taken to be the puzzle of why, given the assumption that that-clauses denote propositions, substitution of “the proposition that P” for “that P” within the complements of many propositional attitude verbs is invalid. I show that Prior’s puzzle is much more general than is ordinarily supposed. There are two variants on the substitutional form of the puzzle—a quantificational variant and a pronominal variant—and all three forms of the puzzle arise in a wide range of grammatical positions, (...) rather than merely in the complements of propositional attitude verbs. The generalized puzzle shows that a range of proposed solutions to the original puzzle fail, or are radically incomplete, and also reveals the connections between Prior’s puzzle and debates over the nature of semantic types and higher-order quantification. I go on to develop a novel, higher-order solution to the generalized form of the puzzle, and I argue that this higher-approach is superior to its first-order alternatives. (shrink)

Global challenges such as climate change, food security, or public health have become dominant concerns in research and innovation policy. This article examines how responses to these challenges are addressed by governance actors. We argue that appeals to global challenges can give rise to a ‘solution strategy' that presents responses of dominant actors as solutions and a ‘negotiation strategy' that highlights the availability of heterogeneous and often conflicting responses. On the basis of interviews and document analyses, the study identifies both (...) strategies across local, national, and European levels. While our results demonstrate the co-existence of both strategies, we find that global challenges are most commonly highlighted together with the solutions offered by dominant actors. Global challenges are ‘wicked problems' that often become misframed as ‘tame problems’ in governance practice and thereby legitimise dominant responses. (shrink)

Dewey’s view of art “as experience” takes the art object proper to be distinct from the physical artifact. The "work of art" is a label for a set of perceptual procedures in relation to a complex "situation" – one that is pregnant with vitality and saturated with “pervasive quality.” This qualitative trait is organic rather than merely mechanical in that the informed percipient’s sensibilities have already been sufficiently “funded” with a repertoire of emotionally imbued responses that culminate in a distinctive (...) “consummatory” experience. This account intends to combine classic notions of intrinsicality and instrumentality into a general story about art, which gets elevated into an honorific trait of human life generally -- all within a naturalistic framework. (shrink)

Ramsification is a well-known method of defining theoretical terms that figures centrally in a wide range of debates in metaphysics. Prior's puzzle is the puzzle of why, given the assumption that that-clauses denote propositions, substitution of "the proposition that P" for "that P" within the complements of many propositional attitude verbs sometimes fails to preserve truth, and other times fails to preserve grammaticality. On the surface, Ramsification and Prior's puzzle appear to have little to do with each other. But Prior's (...) puzzle is much more general than is ordinarily appreciated, and Ramsification requires a solution to the generalized form of Prior's puzzle. Without such a solution, a wide range of theories will either fail to imply their Ramsey sentences, or have Ramsey sentences that are ill-formed. As a consequence, definitions of theoretical terms given using the Ramsey sentence will be either incorrect or nonsensical. I present a partial solution to the puzzle that requires making use of a neo-Davidsonian language for scientific theorizing, but the would-be Ramsifier still faces serious challenges. (shrink)

A new computational methodology for executing calculations with infinite and infinitesimal quantities is described in this paper. It is based on the principle ‘The part is less than the whole’ introduced by Ancient Greeks and applied to all numbers (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). It is shown that it becomes possible to write down finite, infinite, and infinitesimal numbers by a finite number of symbols as particular cases of a unique framework. The (...) new methodology has allowed us to introduce the Infinity Computer working with such numbers (its simulator has already been realized). Examples dealing with divergent series, infinite sets, and limits are given. (shrink)

Gauss’s quadratic reciprocity theorem is among the most important results in the history of number theory. It’s also among the most mysterious: since its discovery in the late 18th century, mathematicians have regarded reciprocity as a deeply surprising fact in need of explanation. Intriguingly, though, there’s little agreement on how the theorem is best explained. Two quite different kinds of proof are most often praised as explanatory: an elementary argument that gives the theorem an intuitive geometric interpretation, due to Gauss (...) and Eisenstein, and a sophisticated proof using algebraic number theory, due to Hilbert. Philosophers have yet to look carefully at such explanatory disagreements in mathematics. I do so here. According to the view I defend, there are two important explanatory virtues—depth and transparency—which different proofs (and other potential explanations) possess to different degrees. Although not mutually exclusive in principle, the packages of features associated with the two stand in some tension with one another, so that very deep explanations are rarely transparent, and vice versa. After developing the theory of depth and transparency and applying it to the case of quadratic reciprocity, I draw some morals about the nature of mathematical explanation. (shrink)

Mathematicians often describe the importance of well-developed intuition to productive research and successful learning. But neither education researchers nor philosophers interested in epistemic dimensions of mathematical practice have yet given the topic the sustained attention it deserves. The trouble is partly that intuition in the relevant sense lacks a usefully clear characterization, so we begin by offering one: mature intuition, we say, is the capacity for fast, fluent, reliable and insightful inference with respect to some subject matter. We illustrate the (...) role of mature intuition in mathematical practice with an assortment of examples, including data from a sequence of clinical interviews in which a student improves upon initially misleading covariational intuitions. Finally, we show how the study of intuition can yield insights for philosophers and education theorists. First, it contributes to a longstanding debate in epistemology by undermining epistemicism, the view that an agent’s degree of objectual understanding is determined exclusively by their knowledge, beliefs and credences. We argue on the contrary that intuition can contribute directly and independently to understanding. Second, we identify potential pedagogical avenues towards the development of mature intuition, highlighting strategies including adding imagery, developing associations, establishing confidence and generalizing concepts. (shrink)

Defense of an account of intrinsic properties in terms of (what is now called) grounding rather than naturalness.

There is good reason to think that, in every case of perceptual consciousness, there is something of which we are conscious; but there is also good reason to think that, in some cases of perceptual consciousness—for instance, hallucinations—there is nothing of which we are conscious. This paper resolves this inconsistency—which we call the presentation problem—by (a) arguing that ‘conscious of’ and related expressions function as intensional transitive verbs and (b) defending a particular semantic approach to such verbs, on which they (...) have readings that lack direct objects or themes. The paper further argues that this approach serves not only as a linguistic proposal about the semantics of ‘conscious of’, but also as a proposal about the metaphysics of conscious states. (shrink)

The paper looks at the semantics and ontology of dispositions in the light of recent work on the subject. Objections to the simple conditionals apparently entailed by disposition statements are met by replacing them with so-called 'reduction sentences' and some implications of this are explored. The usual distinction between categorical and dispositional properties is criticised and the relation between dispositions and their bases examined. Applying this discussion to two typical cases leads to the conclusion that fragility is not a real (...) property and that, while both temperature and its bases are, this does not generate any problem of overdetermination. (shrink)

According to a widespread view in metaphysics and philosophy of science, all explanations involve relations of ontic dependence between the items appearing in the explanandum and the items appearing in the explanans. I argue that a family of mathematical cases, which I call “viewing-as explanations”, are incompatible with the Dependence Thesis. These cases, I claim, feature genuine explanations that aren’t supported by ontic dependence relations. Hence the thesis isn’t true in general. The first part of the paper defends this claim (...) and discusses its significance. The second part of the paper considers whether viewing-as explanations occur in the empirical sciences, focusing on the case of so-called fictional models. It’s sometimes suggested that fictional models can be explanatory even though they fail to represent actual worldly dependence relations. Whether or not such models explain, I suggest, depends on whether we think scientific explanations necessarily give information relevant to intervention and control. Finally, I argue that counterfactual approaches to explanation also have trouble accommodating viewing-as cases. (shrink)

Readers new to Santayana may feel puzzled by aspects of Scepticism and Animal Faith (1923). A number of Santayana’s early critics were puzzled as well. Some found the relation between scepticism and common sense troublesome. Others were put off by Santayana’s indirect poetic style and his lack of “clarity.” In this paper I reflect on these topics, as well as the relation between his poetic style and his vision of philosophical truth and sublimity. This should illuminate his “discovery” of essence, (...) which he re-enacts in this book and which holds the key to understanding Santayana’s mature project. (shrink)

In this contribution we explore revisionists and anti-revisionists conceptions of the historical imagination. The focus will be on how these conceptions of the historical imagination determine how one ought to answer the question of whether or not it is in principle possible to know the past in its own terms rather than from the perspective of the present. The contrast that we are seeking to draw is that between a conception of the historical imagination which is revisionist in the sense (...) that it is committed to the claim that knowledge of the past is in principle impossible, and one which is anti-revisionist in the sense that it regards knowledge of the past in its own terms to be in principle possible. Revisionism, as we understand it here, is not the contingent claim that in some cases (where, for example, new evidence which was previously unavailable comes to light) the historical understanding of the past may be revised; rather, it represents an a priori claim about the impossibility of knowing the past in its own terms in all cases, and not just in some. Likewise, anti-revisionism, as we understand it here, is the view that historical knowledge is in principle possible; it is not the claim that it is always achieved as a matter of fact. The debate between revisionist and anti-revisionist conceptions of the historical imagination is therefore a second-order debate about the nature of historical knowing, about whether it is possible, and if so, about what its conditions of possibility are. It is not a first order debate about whether or not such knowledge has been achieved in any given case. (shrink)

“Do Anthropocene narratives confuse an important distinction between the natural and the historical past?” asks Giuseppina D’Oro. D’Oro defends the view that the concept of the historical past is sui generis and distinct from that of the geological past against a new, Anthropocene-inspired challenge to the possibility of a humanistically oriented historiography. She argues that the historical past is not a short segment of geological time, the time of the human species on Earth, but the past investigated from the perspective (...) of a distinctive kind of interest, that of uncovering the norms which governed historical agents in different periods of time. The past for the Egyptologist, or for the Roman historian, is not the same past studied by the palaeontologist or the geologist, not because it is infinitesimal short in comparison to geological time, but because the questions asked by historians concerned with the Egyptian or Roman civilization are not the same kind of questions asked by empirically minded scientists. She argues that the accusation that the distinction between the historical and the natural/geological past, rests on unacceptable form of human exceptionalism is based on the conflation of the concept of the historical past with that of the human past and that keeping alive the nature/culture distinction has important implications for praxis. If the distinction between nature and culture is collapsed, and the corollary that historical agents are not distinct in kind from natural agents (such as yeast and microbes) is accepted, then “the anticipation of the future would become a mere spectator’s sport analogous to the activity of predicting the weather”: collapsing the nature culture distinction, D’Oro argues, undermines the possibility of political action against the very threat (climate change) that motivates Anthropocene narratives in the first instance. (shrink)