A new hypothesis on the basic features characterising the Foundations of Mathematics is suggested. By means of them the entire historical development of Mathematics before the 20th Century is summarised through a table. Also the several programs, launched around the year 1900, on the Foundations of Mathematics are characterised by a corresponding table. The major difficulty that these programs met was to recognize an alternative to the basic feature of the deductive organization of a theory - more precisely, to Hilbert’s (...) main tenet. Ironically, already half a century before the births of these programs the alternative organization has been substantially represented by Lobachevsky's theory on parallel lines. Moreover, although each program’s founder recognised the basic features in a partial way only, all together these programs represented just the four possible foundational approaches. (shrink)

The van Wijngaarden grammars are two-level grammars that present many interesting properties. In the present article I elaborate on six of these properties, to wit, (i) their being constituted by two grammars, (ii) their ability to generate (possibly infinitely many) strict languages and their own metalanguage, (iii) their context-sensitivity, (iv) their high descriptive power, (v) their productivity, or the ability to generate an infinite number of production rules, and (vi) their equivalence with the unrestricted, or Type-0, Chomsky grammars.

The past decade has seen a sizable increase in scholarship on Kant’s Religion. Yet, unlike the centuries of debate that inform our study of his other major works, scholarship on the Religion is still just in its infancy. As such, it is in a particularly vulnerable state where errors made now could hinder scholarship for decades to come. It is the purpose of this paper to mitigate one such danger, a danger issuing from the widely assumed view that the Religion (...) is shaped by “two experiments.” We will begin with a survey of the four current interpretations of the experiments, and then propose one further interpretation, one that hopefully will help dismantle this alleged “conundrum” and thereby help scholarship on the Religion move beyond this early misstep. (shrink)

Control is typically accepted as a necessary condition for moral responsibility. Thus, humans are morally responsible for their actions only if we can realise the right kind of control. Are there good reasons to think that humans can psychologically realise control? This paper is an attempt to address this question by establishing choice and agenthood as separate but interconnected aspects of control. I consider two challenges to the claim that humans can realise the kind of control required for moral responsibility. (...) First, an empirical challenge from cognitive neuroscience provides a familiar way to argue against the realisation of the choice aspect by human psychology. Second, a more formidable conceptual challenge to the aspect of agenthood presents us with scepticism about the kind of explanations that psychology can provide. The second challenge suggests that, in psychological accounts of choice, the agent disappears. Drawing on recent empirical models of cognitive control and philosophical accounts of agency, I conclude that the psychological explanation of choice is consistent with the aspect of agenthood being realised by human psychology. (shrink)

Scientists are once again worried about ideologically driven bad science. We explain that this problem results from the conjunction of two worthy values that make science susceptible to recurrence of such situations. The solution is to acknowledge the social, political, economic, and ideological frameworks in which science is embedded.

Amalia Holst was an important pedagogical theorist and philosopher who was part of the distinctive intellectual milieu of Hamburg in the late 18th and early 19th century. Holst has enjoyed a fair amount of attention from scholars working on the history of feminism, and she has recently come to the attention of historians of philosophy for her incisive critique of (Rousseau-inspired) educational theories, her vocal advocacy for women’s access to higher education, and for apparently radical lines of thinking in her (...) views on history, religion, and morality. While Holst was something of a public figure in Hamburg—she published two controversial treatises in her lifetime, in addition to a lengthy review of a popular novel—there is relatively little known about her life, with most of what we do know owed to only a sparse handful of sources. It is, therefore, a rather significant development for scholars working on Holst that two letters by her should come to light. These letters are replete with new details of Holst’s life, her intellectual network, and they seem to have been wholly unaccounted for by Holst’s biographers. In this article, I will provide a transcription and translation, with annotations, of the two new letters. (shrink)

In a recent paper, Firt, Hemmo and Shenker argue that Hempel’s dilemma, typically thought to primarily undermine physicalism, is generalizable and impacts mind-body dualism and many other theories equally. I challenge this view and argue that Hempel’s dilemma admits of at least two distinct construals: a general-skeptical construal, underpinned by historically driven arguments such as the pessimistic induction, and a non-skeptical construal, driven by the specific puzzles and volatility of current physics. While the general-skeptical construal applies to all changeable deep-structure (...) theories, the non-skeptical construal primarily targets volatile theories which harbor exclusionary ambitions. As a result, dualism largely evades both construals due to the stability of theories of the mental and their lack of exclusionary ambitions. Conversely, physicalism is uniquely susceptible to both construals due to its strong commitment to deep-structure realism, inherent exclusionary ambitions, and the volatility of certain branches of fundamental physics. The paper ultimately concludes that Hempel’s dilemma is not universally problematic, but presents a unique challenge to physicalism while being relatively congenial to dualism. (shrink)

I here defend microphysical manyism. According to microphysical manyism, each composite or higher-level object is a mere plurality of microphysical particles. After clarifying the commitments of the view, I offer two physicalist-friendly arguments in its favour. The first argument appeals to the Canberra Plan. Here I argue that microphysical particles acting in unison play the theoretical roles associated with composite objects - that they do everything that we think of composite objects as doing - and thus that composite objects are (...) to be identified with pluralities of microphysical particles. Along the way I rebut the objections that pluralities of particles don’t display the right emergent, ‘lingering’, or modal properties to be good candidates for identification with higher-level objects. In the second argument I claim that microphysical manyism is uniquely able to capture a compelling and widespread physicalist intuition concerning the intimate nature of the relationship between higher-level, composite objects and the microphysical world. (shrink)

In tradition linked to Aristotle and Kant, many contemporary philosophers treat practical and theoretical normativity as two genuinely distinct domains of normativity. In this paper I consider the question of what it is for normative domains to be distinct. I suggest that there are two different ways that the distinctness thesis might be understood and consider the different implications of the two different distinctness theses.

Several tensions run through philosophical debates on the nature of pleasure: is it a feeling or an attitude? Is it excited engagement during activities, or satisfaction and contentment at their completion? Pleasure also plays fundamental explanatory roles in psychology, neuroscience, and animal behavior. I draw on this work to argue that pleasure picks out two distinct, but interacting neurobiological systems with long evolutionary histories. Understanding pleasure as having these two facets gives us a better account of pleasure and explains the (...) persistent tensions in the concept. This account of pleasure also sheds light on happiness and well-being. (shrink)

Claims about what justice “requires” and the “requirements” of justice are pervasive in political philosophy. However, there is a highly significant ambiguity in such claims that appears to have gone unnoticed. Such claims may pick out either one of two categorically distinct and noncoextensive kinds of requirement that we call 1) requirements-as-necessary-conditions for justice and 2) requirements-as-demands of justice. This is an especially compelling instance of an ambiguity that John Broome has famously observed in the context of claims about other (...) requirements (notably the requirements of rationality and morality). But it appears to have been overlooked by political philosophers in the case of claims about the requirements of justice. The ambiguity is highly significant inasmuch as failing to notice it is liable to distort our normative thinking about politics and make us vulnerable to certain kinds of normatively consequential errors: both mistakenly drawing inferences about what justice demands of us from claims that certain states or societies are not just; and mistakenly drawing inferences about what states or societies are or would be just from claims that justice does not demand of states or societies that they do certain things. Paying greater attention to the distinction between these two different kinds of requirements and the ways in which they come apart is helpful, not merely in avoiding these distortions and errors, but also in resolving, or at least clarifying, a number of other notoriously murky meta-normative debates, especially various important debates about realism and idealism in political philosophy. (shrink)

Sometimes, scientific models are either intended to or plausibly interpreted as representing nonactual but possible targets. Call this “hypothetical modeling”. This paper raises two epistemological challenges concerning hypothetical modeling. To begin with, I observe that given common philosophical assumptions about the scope of objective possibility, hypothetical models are fallible with respect to what is objectively possible. There is thus a need to distinguish between accurate and inaccurate hypothetical modeling. The first epistemological challenge is that no account of the epistemology of (...) hypothetical models seems to cohere with the most characteristic function of scientific modeling in general, i.e., surrogative representation. The second epistemological challenge is a version of “reliability challenges” familiar from other areas. There is a challenge to explain how hypothetical models could be a reliable guide to what is possible, given that they are not and cannot be compared against their nonactual targets and updated accordingly. I close with some brief remarks on possible solutions to these challenges. (shrink)

What does it mean to have “strong beliefs”? My thesis is that it can mean two very different things. That is, there are two distinct psychological features to which “strong belief” can refer, and these often come apart. I call the first feature epistemic confidence and the second identity centrality. They are conceptually distinct and, if we take ethnographies of religion seriously, distinct in fact as well. If that’s true, it’s methodologically important for the psychological sciences to have measures that (...) tease them apart. In this paper, I critique some measures that are currently in use and propose some strategies for developing measurement tools that track the distinction in question. (shrink)

Philosophical treatments of natural kinds are embedded in two distinct projects. I call these the philosophy of science approach and the philosophy of language approach. Each is characterized by its own set of philosophical questions, concerns, and assumptions. The kinds studied in the philosophy of science approach are projectible categories that can ground inductive inferences and scientific explanation. The kinds studied in the philosophy of language approach are the referential objects of a special linguistic category—natural kind terms—thought to refer directly. (...) Philosophers may hope for a unified account addresses both sets of concerns. This paper argues that this cannot be done successfully. No single account can satisfy both the semantic objectives of the philosophy of language approach and the explanatory projects of the philosophy of science approach. After analyzing where the tensions arise, I make recommendations about assumptions and projects that are best abandoned, those that should be retained, and those that should go their separate ways. I also recommend adopting the disambiguating terminology of “scientific kinds” and “natural kinds” for the different notions of kinds developed in these different approaches. (shrink)

The truth of a statement depends on the world in two ways: what the statement says is true if the world is as the statement says it is; on the other hand, what the expressions in the statement mean depends on what the world is like (for instance, on what conventions are in place). Each of these two kinds of dependence of truth on the world corresponds to one of the dimensions on the two-dimensional semantic framework, developed in the 1970’ (...) in the work of Evans, Kaplan, Kripke and Stalnaker. The introduction provides a systematic overview of the framework, the ideas of its earlier originators, recent developments and criticism. Finally, it gives a brief overview over the contributions to the volume. (shrink)

In this paper two concepts of populism are identified, explicated, and critically discussed. Their links with underlying views of democracy are emphasized. It is argued that the second concept, but not the first concept, is both consistent with the values of pluralism and inclusion and also expresses a normatively defensible aspiration for greater economic democracy.

The paper explores the project of an ambitious modal epistemology that attempts to combine the a priori methods of Chalmers’ 2D semantics with Kripke’s modal metaphysics. I argue that such a project is not viable. The ambitious modal epistemology involves an inconsistent triad composed of (1) Modal Monism, (2) Two-Dimensionalism, and what I call (3) “Metaphysical Kripkeanism”. I present the three theses and show how only two of those can be true at a time. There is a fundamental incompatibility between (...) Chalmers’ Modal Rationalism and Kripke’s modal metaphysics. Specifically, Chalmers’ conceivability entails possibilities that a Kripkean rejects as genuinely metaphysical. However, three positive stances in modal epistemology emerge from the combinations that the triad allows. One of those offers a promising way forward for 2D modal epistemologies. But it comes with a cost, as it requires abandoning modal monism and reshaping the scope of what a priori conceivability can give us access to. (shrink)

Previous claims to have resolved the two-envelope paradox have been premature. The paradoxical argument has been exposed as manifestly fallacious if there is an upper limit to the amount of money that may be put in an envelope; but the paradoxical cases which can be described if this limitation is removed do not involve mathematical error, nor can they be explained away in terms of the strangeness of infinity. Only by taking account of the partial sums of the infinite series (...) of expected gains can the paradox be resolved. (shrink)

In this paper, I propose a solution to a notorious puzzle that lies at the heart of Kant’s Critique of Judgment. The puzzle arises because Kant asserts two apparently conflicting claims: (1) F→J: A judgment of beauty is aesthetic, i.e., grounded in feeling. (2) J→F: A judgment of beauty could not be based on and must ground the feeling of pleasure in the beautiful. I argue that (1) and (2) are consistent. Kant’s text indicates that he distinguishes two feelings: the (...) feeling of the harmony of the cognitive faculties that is the ground of judgments of beauty (F1 → J), and the feeling of pleasure that is its consequence (J → F2). I develop and defend a view of Kant’s account of the structure of judgments of beauty that incorporates this crucial distinction. Next, I argue that my view resolves another long-standing problem for Kant’s “Deduction” of judgments of beauty: it allows him to claim that the harmony of the faculties is a condition of judgment in general without implying, absurdly, that all judgments are pleasurable. (shrink)

In this article, I critically reassess Iris Marion Young's late works, which centre on the distinction between liability and social connection responsibility. I concur with Young's diagnosis that structural injustices call for a new conception of responsibility, but I reject several core assumptions that underpin her distinction between two models and argue for a different way of conceptualising responsibility to address structural injustices. I show that Young's categorical separation of guilt and responsibility is not supported by the writings of Hannah (...) Arendt, which Young draws on, and that it is also untenable on independent systematic grounds. Furthermore, I argue that several of Young's other criteria fail to clearly demarcate two distinct phenomena. I therefore propose to transcend Young's distinction between two models in favour of a related, but conceptually different distinction between two forms of responsibility: interactional and structural. Embracing this terminology facilitates the conceptualisation of the general features of responsibility that are shared by both forms, including their retrospective and prospective time-direction and their applicability to individual, joint and group agency. The distinction between interactional and structural responsibility also yields a more compelling general account of the role of background structures, and of blame within ascriptions of political responsibility. (shrink)

I would like to thank Sullivan-Bissett and Noordhof for their stimulating comments on my 2023 paper in Neuroethics. In this reply, I will (1) articulate some deeper disagreements that may underpin our disagreement on the nature of delusion, (2) clarify their misrepresentation of my arguments as a defence of the two-factor theory in particular, and (3) finally conduct a comparison between the Maherian one-factor theory and the two-factor theory, showing that the two-factor theory is better supported by evidence.

This paper discusses the finite version of the two envelope paradox. (That is, we treat the paradox against the background assumption that there is only a finite amount of money in the world.).

_ Source: _Volume 63, Issue 1, pp 64 - 86 Five times in the extant corpus, Aristotle refers to a distinction between two ways of being a ‘that for the sake of which’ that he sometimes marks by using genitive and dative pronouns. Commentators almost universally say that this is the distinction between an aim and beneficiary. I propose that Aristotle had a quite different distinction in mind, namely: that which holds between something and the aim or objective it is (...) in the business of producing or achieving, and that which holds between some instrument and the user of that instrument. (shrink)

Fictionalist theories of metaphor hold that metaphorical utterances aim at fictionality. Fictionalism successfully explains speaker judgments about the truth and aptness of metaphorical utterances, and it also accurately predicts the data around metaphor and autistic individuals (who have deficits in both imaginative play and metaphor comprehension). But fictionalism is not a viable theory of metaphor, despite these merits, because of (what I call) the problem of semantic entailment: semantic entailments that are normally valid fail under metaphorical interpretation, but fictionalism predicts (...) otherwise. I argue this to ultimately show that theorists of metaphor should reject the linguistic side of the fictionalist story; but this leaves open the possibility of accepting psychological fictionalism, i.e., the hypothesis that fiction/make-believe is central to the cognitive processing of metaphor. Coupling psychological fictionalism with a different theory of metaphorical meaning and content (such as contextualism) promises to keep the explanatory upsides of traditional fictionalism while avoiding the problem of semantic entailment. (shrink)

The Two Selves takes the position that the self is not a "thing" easily reduced to an object of scientific analysis. Rather, the self consists in a multiplicity of aspects, some of which have a neuro-cognitive basis (and thus are amenable to scientific inquiry) while other aspects are best construed as first-person subjectivity, lacking material instantiation. As a consequence of their potential immateriality, the subjective aspect of self cannot be taken as an object and therefore is not easily amenable to (...) treatment by current scientific methods. -/- Klein argues that to fully appreciate the self, its two aspects must be acknowledged, since it is only in virtue of their interaction that the self of everyday experience becomes a phenomenological reality. However, given their different metaphysical commitments (i.e., material and immaterial aspects of reality), a number of issues must be addressed. These include, but are not limited to, the possibility of interaction between metaphysically distinct aspects of reality, questions of causal closure under the physical, the principle of energy conservation. -/- After addressing these concerns, Klein presents evidence based on self-reports from case studies of individuals who suffer from a chronic or temporary loss of their sense of personal ownership of their mental states. Drawing on this evidence, he argues that personal ownership may be the factor that closes the metaphysical gap between the material and immaterial selves, linking these two disparate aspects of reality, thereby enabling us to experience a unified sense of self despite its underlying multiplicity. -/- . (shrink)

Certain problems with standard two-dimensional semantics are addressed and cases in which these problems arise explored. In such cases the primary intension cannot be univocally mapped in one and only one indexical world, thus standard two-dimensional semantics cannot efficiently address the problems presented. Subsequently, a modified model is presented which leads these problems to be averted in the replicated cases. This modified model admits primary intensions that are not univocally mapped. The conclusion discusses the advantages and disadvantages of the modified (...) model and analyzes its possible consequences for the philosophy of mind. (shrink)

Should we make significant sacrifices to ever-so-slightly lower the chance of extremely bad outcomes, or to ever-so-slightly raise the chance of extremely good outcomes? *Fanaticism* says yes: for every bad outcome, there is a tiny chance of extreme disaster that is even worse, and for every good outcome, there is a tiny chance of an enormous good that is even better. I consider two related recent arguments for Fanaticism: Beckstead and Thomas's argument from *strange dependence on space and time*, and (...) Wilkinson's *Indology* argument. While both arguments are instructive, neither is persuasive. In fact, the general principles that underwrite the arguments (a *separability* principle in the first case, and a *reflection* principle in the second) are *inconsistent* with Fanaticism. In both cases, though, it is possible to rehabilitate arguments for Fanaticism based on restricted versions of those principles. The situation is unstable: plausible general principles tell *against* Fanaticism, but restrictions of those same principles (with strengthened auxiliary assumptions) *support* Fanaticism. All of the consistent views that emerge are very strange. (shrink)

Many theorists have recently observed that the response to the same-sex marriage controversy most congruent with basic liberal principles is neither the retention of the institution of marriage in its present form, nor its extension so as to include same-sex unions along with heterosexual ones, but rather the ‘dis-establishment’ of marriage. Less commonly observed, however, is the fact that there are two competing models for how the state might effect a regime of disestablished marriage. On the one hand, there is (...) a ‘deflationary’ approach, on which the state ceases to confer marital status, but does remain in the status-conferring business. On this approach, the state would still bestow a certain ‘thinner’, more ‘neutral’ legal status – as it does when it creates civil unions, for instance. Call this the ‘Status Model’ of disestablished marriage. On the other hand, there is an ‘eliminativist’ approach, on which the state ceases to confer any sort of status at all – not even the thin or neutral status of ‘civilly-unioned’. There simply are no registered domestic partnerships. What there is, is contract law, and individuals entering into contracts for life-partnership – contractual arrangements which might assume any of a wide variety of forms. Call this the ‘Contract Model’ of disestablished marriage. In this paper, I explore the merits of these competing models. After briefly discussing what it means to speak of ‘disestablishing marriage’, and examining the case for disestablishment, I proceed to consider the advantages and disadvantages of each model. My tentative conclusion is that the Contract Model is the one that best instantiates cardinal liberal virtues. (shrink)

Mill defines utilitarianism as the combination of a “theory of life” and a moral claim: only pleasure and freedom from pain are desirable as ends, and the promotion of happiness is the sole goal of moral action. So defined, utilitarianism is open to ad hominem pessimistic objection: a “theory of life” which entails the impossibility of happiness fits poorly with a morality centered on its promotion. The first two challenges Mill confronts in Utilitarianism share this pessimistic structure. Interestingly, however, these (...) challenges paint inverted pictures of the best utilitarian life: one suggests this life is satisfying but ignoble, the other that it is noble but unsatisfying. I explain Mill's treatment of both challenges as genuinely pessimistic interpretations of utilitarianism's “theory of life.” Read through the lens of Mill's engagement with pessimism, these challenges point to distinctive conceptions of dignity and satisfaction that play a significant role in Mill's ethics. (shrink)

Timothy Williamson (1992, 224–5) and Ernest Sosa (1996) have ar- gued that knowledge requires one to be safe from error. Something is said to be safe from happening iff it does not happen at “close” worlds. I expand here on a puzzle noted by John Hawthorne (2004, 56n) that suggests the need for two notions of closeness. Counterfac- tual closeness is a matter of what could in fact have happened, given the specific circumstances at hand. The notion is involved in (...) the semantics for counterfactuals and is the one epistemologists have typically assumed. Normalized closeness is rather a matter of what could typically have happened, that is, what would go on in a class of normal alternatives to actuality, irrespectively of whether or not they could have happened in the circumstances at hand. (shrink)

I describe in this paper an ontological solution to the Sleeping Beauty problem. I begin with describing the hyper-entanglement urn experiment. I restate first the Sleeping Beauty problem from a wider perspective than the usual opposition between halfers and thirders. I also argue that the Sleeping Beauty experiment is best modelled with the hyper-entanglement urn. I draw then the consequences of considering that some balls in the hyper-entanglement urn have ontologically different properties from normal ones. In this context, drawing a (...) red ball (a Monday-waking) leads to two different situations that are assigned each a different probability, depending on whether one considers “balls-as-colour” or “balls-as-object”. This leads to a two-sided account of the Sleeping Beauty problem. (shrink)

In this essay, I propose a reading of two contrasting passions, two kinds of erōs, in the "Symposium." On the one hand, there is the imperialistic desire for conquering and possessing that Alcibiades represents; and on the other hand, there is the productive love of immortal wisdom that Diotima represents. It’s not just what Alcibiades says in the Symposium, but also what he symbolizes. Alcibiades gives a speech in honor of Socrates and of his unrequited love for him, but even (...) here Alcibiades recounts his attempted seduction of Socrates as a failed conquest, as an unsuccessful attempt to violently take possession of something that Socrates has within him. Even more importantly, in 416 BCE (the dramatic date of Agathon’s symposium) Alcibiades was soon to encourage his fellow countrymen to set off on the ruinous Sicilian expedition. Alcibiades’s actions behind-the-scenes of the "Symposium" reveal the clearest manifestation of his imperialistic erōs (for political power in Athens). They also constitute some necessary background to the dialogue, which Plato’s Athenian readers would have had in mind. Where else can we catch a glimpse of this disastrous desire? It is best illustrated in Thucydides’s "History." I show that the beginnings of this political passion can already be seen in Pericles’s funeral oration (2.35-46, specifically 2.43.1) and that after Pericles’s death, Alcibiades stokes this erōs to such a fevered pitch that the Athenians agree to launch the tragic venture against Sicily. Opposed to this political passion, is Diotima’s. She tries to reorient this misguided erōs and presents an alternative form of desire for everlasting wisdom (philosophia). (shrink)

This article brings forth a new perspective concerning the relation between stupidity and thinking by proposing to conceptualise the state of non-thinking in two different ways, situated at the opposite ends of the spectrum of thinking. Two conceptualisations of stupidity are discussed, one critical which follows a French line of continental thinkers, and the other one which will be called educational or ascetic, following the work of Agamben. The critical approach is conceptualised in terms of seriality of thinking, or thinking (...) captured by an apparatus, whereas the ascetic-educational approach is discussed by tracing the links between studying and stupidity. Both accounts assume that stupidity as non-thinking is a condition for thinking, either placed before thinking emerges or as an after-thought. However, the political implications concerning the role of philosophy in the public realm are divergent: for the critical approach, the task of the philosopher is to criticise the world, whereas for the ascetic approach, the task is to work on one’s own self and hope that the world will be changed through thinking. The wider aim of this article is to contribute to the debate concerning the public role of the intellectual starting from the assumption that there is a duty to think publicly and then clarifying what this duty entails in relation to the self and the others. (shrink)

There are at least two traditional conceptions of numerical degree of similarity. According to the first, the degree of dissimilarity between two particulars is their distance apart in a metric space. According to the second, the degree of similarity between two particulars is a function of the number of (sparse) properties they have in common and not in common. This paper argues that these two conceptions are logically independent, but philosophically inconsonant.

I argue that Kant’s distinction between the cognitive roles of sensibility and understanding raises a question concerning the conditions necessary for objective representation. I distinguish two opposing interpretive positions—viz. Intellectualism and Sensibilism. According to Intellectualism all objective representation depends, at least in part, on the unifying synthetic activity of the mind. In contrast, Sensibilism argues that at least some forms of objective representation, specifically intuitions, do not require synthesis. I argue that there are deep reasons for thinking that Intellectualism is (...) incompatible with Kant's view as expressed in the Transcendental Aesthetic. We can better see how Kant’s arguments in the first Critique may be integrated, I suggest, by examining his notion of the 'unity' [Einheit] of a representation. I articulate two distinct ways in which a representation may possess unity and claim that we can use these notions to integrate Kant’s arguments in the Aesthetic and the Transcendental Deduction without compromising the core claims of either Sensibilism or Intellectualism—that intuition is a form of objective representation independent of synthesis, and that the kind of objective representations that ground scientific knowledge of the world require synthesis by the categories. (shrink)

There has been much discussion on the two-envelope paradox. Clark and Shackel (2000) have proposed a solution to the paradox, which has been refuted by Meacham and Weisberg (2003). Surprisingly, however, the literature still contains no axiomatic justification for the claim that one should be indifferent between the two envelopes before opening one of them. According to Meacham and Weisberg, "decision theory does not rank swapping against sticking [before opening any envelope]" (p. 686). To fill this gap in the literature, (...) we present a simple axiomatic justification for indifference, avoiding any expectation reasoning, which is often considered problematic in infinite cases. Although the two-envelope paradox assumes an expectation-maximizing agent, we show that analogous paradoxes arise for agents using different decision principles such as maximin and maximax, and that our justification for indifference before opening applies here too. (shrink)

Epistemic two-dimensional semantics is a theory in the philosophy of language that provides an account of meaning which is sensitive to the distinction between necessity and apriority. While this theory is usually presented in an informal manner, I take some steps in formalizing it in this paper. To do so, I define a semantics for a propositional modal logic with operators for the modalities of necessity, actuality, and apriority that captures the relevant ideas of epistemic two-dimensional semantics. I also describe (...) some properties of the logic that are interesting from a philosophical perspective, and apply it to the so-called nesting problem. (shrink)

This paper examines two mistakes regarding David Lewis’ Principal Principle that have appeared in the recent literature. These particular mistakes are worth looking at for several reasons: The thoughts that lead to these mistakes are natural ones, the principles that result from these mistakes are untenable, and these mistakes have led to significant misconceptions regarding the role of admissibility and time. After correcting these mistakes, the paper discusses the correct roles of time and admissibility. With these results in hand, the (...) paper concludes by showing that one way of formulating the chance–credence relation has a distinct advantage over its rivals. (shrink)

An influential philosophical conception of our mind’s place in the world is as a site for the states and events that causally mediate the world we perceive and the world we affect. According to this conception, states and events in the world cause mental states and events in us through the process of perception. These mental states and events then go on to produce new states and events in the world through the process of action. Our role is as hosts (...) for these states and events that causally mediate the states and events on the input side and those on the output side. (shrink)

In this paper, we argue that a distinction ought to be drawn between two ways in which a given world might be logically impossible. First, a world w might be impossible because the laws that hold at w are different from those that hold at some other world (say the actual world). Second, a world w might be impossible because the laws of logic that hold in some world (say the actual world) are violated at w. We develop a novel (...) way of modelling logical possibility that makes room for both kinds of logical impossibility. Doing so has interesting implications for the relationship between logical possibility and other kinds of possibility (for example, metaphysical possibility) and implications for the necessity or contingency of the laws of logic. (shrink)

Explanatory metaphysics aspires to explain the less fundamental in terms of the more fundamental. But we should recognize two importantly different approaches to this task. According to the generation approach, more basic features of reality generate (or give rise to) less basic features. According to the reduction approach, less perspicuous ways of representing reality reduce to (or collapse into) more perspicuous ways of representing reality. The main goals of this paper are to present the core differences between the two approaches (...) (§2), to demonstrate the distinction's significance (§3), to provide some resources for adjudicating between the approaches (§4), and to argue that the project of explanatory metaphysics needs both (§5). (shrink)

Principles of chance deference face two kinds of problems. In the first place, they face difficulties with a priori knowable contingencies. In the second place, they face difficulties in cases where you've lost track of the time. I provide a principle of chance deference which handles these problem cases. This principle has a surprising consequence for Adam Elga's Sleeping Beauty Puzzle.

I develop a distinction between two types of psychological hedonism. Inferential hedonism (or “I-hedonism”) holds that each person only has ultimate desires regarding his or her own hedonic states (pleasure and pain). Reinforcement hedonism (or “R–hedonism”) holds that each person's ultimate desires, whatever their contents are, are differentially reinforced in that person’s cognitive system only by virtue of their association with hedonic states. I’ll argue that accepting R-hedonism and rejecting I-hedonism provides a conciliatory position on the traditional altruism debate, and (...) that it coheres well with the neuroscientist Anthony Dickinson’s theory about the evolutionary function of hedonic states, the “hedonic interface theory.” Finally, I’ll defend R-hedonism from potential objections. (shrink)

I present unexplored and unaccounted for uses of 'wants'. I call them advisory uses, on which information inaccessible to the desirer herself helps determine what she wants. I show that extant theories by Stalnaker, Heim, and Levinson fail to predict these uses. They also fail to predict true indicative conditionals with 'wants' in the consequent. These problems are related: intuitively valid reasoning with modus ponens on the basis of the conditionals in question results in unembedded advisory uses. I consider two (...) fixes, and end up endorsing a relativist semantics, according to which desire attributions express information-neutral propositions. On this view, 'wants' functions as a precisification of 'ought', which exhibits similar unembedded and compositional behavior. I conclude by sketching a pragmatic account of the purpose of desire attributions that explains why it made sense for them to evolve in this way. (shrink)

The phenomenal particularity thesis says that if a mind-independent particular is consciously perceived in a given perception, that particular is among the constituents of the perception’s phenomenology. Martin, Campbell, Gomes and French and others defend this thesis. Against them are Mehta, Montague, Schellenberg and others, who have produced strong arguments that the phenomenal particularity thesis is false. Unfortunately, neither side has persuaded the other, and it seems that the debate between them is now at an impasse. This paper aims to (...) break through this impasse. It argues that we have reached the impasse because two distinct conceptions of phenomenology—a “narrow” conception and a “broad” conception—are compatible with our what-it-is-like characterizations of phenomenology. It also suggests that each of these two conceptions has its own theoretical value and use. Therefore, the paper recommends a pluralistic position, on which we acknowledge that there are two kinds of phenomenology: narrow phenomenology and broad phenomenology. The phenomenal particularity thesis is true only with respect to the latter. (shrink)

Contemporary platonism has been conditioned in large part by two dogmas. One is the belief in a fundamental cleavage between intelligible but invisible Platonic forms that are real and eternal, and perceptible objects whose confinement to spacetime constitutes an inferior existence and about which knowledge is impossible. The other dogma involves a kind of reductionism: the belief that Plato’s unhypothetical first principle of the all is identical to the form of the good. Both dogmas, I argue, are ill-founded.

Based on a crowdsourced truth value judgment experiment, we provide empirical evidence challenging two classical views in semantics, and we develop a novel account of counterfactuals that combines ideas from inquisitive semantics and causal reasoning. First, we show that two truth-conditionally equivalent clauses can make different semantic contributions when embedded in a counterfactual antecedent. Assuming compositionality, this means that the meaning of these clauses is not fully determined by their truth conditions. This finding has a clear explanation in inquisitive semantics: (...) truth-conditionally equivalent clauses may be associated with different propositional alternatives, each of which counts as a separate counterfactual assumption. Second, we show that our results contradict the common idea that the interpretation of a counterfactual involves minimizing change with respect to the actual state of affairs. We propose to replace the idea of minimal change by a distinction between foreground and background for a given counterfactual assumption: the background is held fixed in the counterfactual situation, while the foreground can be varied without any minimality constraint. (shrink)

Epistemic two-dimensional semantics, advocated by Chalmers and Jackson, among others, aims to restore the link between necessity and a priority seemingly broken by Kripke, by showing how armchair access to semantic intensions provides a basis for knowledge of necessary a posteriori truths. The most compelling objections to E2D are that, for one or other reason, the requisite intensions are not accessible from the armchair. As we substantiate here, existing versions of E2D are indeed subject to such access-based objections. But, we (...) moreover argue, the difficulty lies not with E2D but with the typically presupposed conceiving-based epistemology of intensions. Freed from that epistemology, and given the right alternative—one where inference to the best explanation provides the operative guide to intensions—E2D can meet access-based objections, and fulfill its promise of restoring the desirable link between necessity and a priority. This result serves as a central application of Biggs and Wilson, according to which abduction is an a priori mode of inference. (shrink)

Leibniz's best-of-all-possible worlds solution to the problem of evil is defended. Enlightenment misrepresentations are removed. The apparent obviousness of the possibility of better worlds is undermined by the much better understanding achieved in modern mathematical sciences of how global structure constrains local possibilities. It is argued that alternative views, especially standard materialism, fail to make sense of the problem ofevil, by implying that evil does not matter, absolutely speaking. Finally, itis shown how ordinary religious thinking incorporates the essentials of Leibniz's (...) view. (shrink)

This paper is about two requirements on wish reports whose interaction motivates a novel semantics for these ascriptions. The first requirement concerns the ambiguities that arise when determiner phrases, such as definite descriptions, interact with ‘wish’. More specifically, several theorists have recently argued that attitude ascriptions featuring counterfactual attitude verbs license interpretations on which the determiner phrase is interpreted relative to the subject’s beliefs. The second requirement involves the fact that desire reports in general require decision-theoretic notions for their analysis. (...) The current study is motivated by the fact that no existing account captures both of these aspects of wishing. I develop a semantics for wish reports that makes available belief-relative readings but also allows decision-theoretic notions to play a role in shaping the truth conditions of these ascriptions. The general idea is that we can analyze wishing in terms of a two-dimensional notion of expected utility. (shrink)