I investigate the role of geometric intuition in Frege’s early mathematical works and the significance of his view of the role of intuition in geometry to properly understanding the aims of his logicist project. I critically evaluate the interpretations of Mark Wilson, Jamie Tappenden, and Michael Dummett. The final analysis that I provide clarifies the relationship of Frege’s restricted logicist project to dominant trends in German mathematical research, in particular to Weierstrassian arithmetization and to the Riemannian conceptual/geometrical tradition at Göttingen. (...) Concurring with Tappenden, I hold that Frege’s logicism should not be understood as a continuing a project of reductionist arithmetization. However, Frege does not quite take up the Riemannian banner either. His logicism supports a hierarchical understanding of the structure of mathematical knowledge, according to which arithmetic is applicable to geometry but not vice versa because the former is more general, as revealed by the strictly logical nature of its objects in comparison to the intuitional nature of geometric objects. I suggest, in particular, that Frege intended that foundational work would show the use of geometric intuition in complex analysis, a source of error for Riemann that Weierstrass was proud to have uncovered, to be inessential. (shrink)

This paper is about Poincaré’s view of the foundations of geometry. According to the established view, which has been inherited from the logical positivists, Poincaré, like Hilbert, held that axioms in geometry are schemata that provide implicit definitions of geometric terms, a view he expresses by stating that the axioms of geometry are “definitions in disguise.” I argue that this view does not accord well with Poincaré’s core commitment in the philosophy of geometry: the view that geometry is the study (...) of groups of operations. In place of the established view I offer a revised view, according to which Poincaré held that axioms in geometry are in fact assertions about invariants of groups. Groups, as forms of the understanding, are prior in conception to the objects of geometry and afford the proper definition of those objects, according to Poincaré. Poincaré’s view therefore contrasts sharply with Kant’s foundation of geometry in a unique form of sensibility. According to my interpretation, axioms are not definitions in disguise because they themselves implicitly define their terms, but rather because they disguise the definitions which imply them. (shrink)

Epistemic trespassers judge matters outside their field of expertise. Trespassing is ubiquitous in this age of interdisciplinary research and recognizing this will require us to be more intellectually modest.

This article evaluates an emerging element in popular debate and inquiry: DYOR. (Haven’t heard of the acronym? Then Do Your Own Research.) The slogan is flexible and versatile. It is used frequently on social media platforms about topics from medical science to financial investing to conspiracy theories. Using conceptual and empirical resources drawn from philosophy and psychology, we examine key questions about the slogan’s operation in human cognition and epistemic culture.

Toward a theory of n-tuples of individuals and concepts as surrogates for Russellian singular propositions and singular concepts. Alonzo Church proposed a powerful and elegant theory of sequences of functions and their arguments as singular-concept surrogates. Church’s account accords with his Alternative (0), the strictest of his three competing criteria for strict synonymy. The currently popular objection to strict criteria like (0) on the basis of the Russell-Myhill paradox is misguided. Russell-Myhill is not a problem specifically for Alternative (0). Rather (...) it is a disproof of unrestricted concept comprehension. Unrestricted comprehension is also inconsistent with facts about sets of properties. It is demonstrated furthermore that the principal rival conception of propositions, as classes of possible worlds, is subject to a fatal philosophical collapse: It follows on that conception, given that each of us is fallible, that everyone believes everything. Although it is far superior to its principal rival conception, Church’s proposed theory is vulnerable under (0) to a version of Russell’s notorious Gray’s /Elegy/ objection. Some amendments to Church’s proposal are proffered that address Russell’s objection, including an amendment first proposed in the present author’s /Frege’s Puzzle/ (1986). Church’s response (personal correspondence) is considered. (shrink)

Nathan Salmon; XII*—How to Measure the Standard Metre, Proceedings of the Aristotelian Society, Volume 88, Issue 1, 1 June 1988, Pages 193–218.

I propose and defend a novel view called “de se consequentialism,” which is noteworthy for two reasons. First, it demonstrates—contra Doug Portmore, Mark Schroeder, Campbell Brown, and Michael Smith, among others—that agent-neutral consequentialism is consistent with agent-centered constraints. Second, it clarifies the nature of agent-centered constraints, thereby meriting attention from even dedicated nonconsequentialists. Scrutiny reveals that moral theories in general, whether consequentialist or not, incorporate constraints by assessing states in a first-personal guise. Consequently, de se consequentialism enacts constraints through the (...) very same feature that nonconsequentialist theories do. (shrink)

The dogma that the propositional logic of metaphysical modality is S5 is rebutted. The author exposes fallacies in standard arguments supporting S5, arguing that propositional metaphysical modal logic is weaker even than both S4 and B, and is instead the minimal and weak metaphysical-modal logic T.

The Counterfactual Comparative Account of Harm says that an event is overall harmful for someone if and only if it makes her worse off than she otherwise would have been. I defend this account from two common objections.

In this candid autobiographical essay, Nathan Salmon recounts and assesses the impact of various philosophers and events on his philosophical development.

A sequel to the author’s book /Frege’s Puzzle/ (1986).

I defend the widely-held view that morally worthy action need not be motivated by a desire to promote rightness as such. Some have recently come to reject this view, arguing that desires for rightness as such are necessary for avoiding a certain kind of luck thought incompatible with morally worthy action. I show that those who defend desires for rightness as such on the basis of this argument misunderstand the relationship between moral worth and the kind of luck that their (...) argument employs. Consequently, the argument provides no reason to doubt the popular view that a desire for rightness as such is no part of virtue. I conclude by suggesting that a family of worries about merely accidentally right action presuppose one side of the recent debate about objectivism and perspectivism about moral rightness. (shrink)

In recent years there has been an explosion of philosophical work on blame. Much of this work has focused on explicating the nature of blame or on examining the norms that govern it, and the primary motivation for theorizing about blame seems to derive from blame’s tight connection to responsibility. However, very little philosophical attention has been given to praise and its attendant practices. In this paper, I identify three possible explanations for this lack of attention. My goal is to (...) show that each of these lines of thought is mistaken and to argue that praise is deserving of careful, independent analysis by philosophers interested in theorizing about responsibility. (shrink)

I argue that there is moral luck, i.e., that factors beyond our control can affect how laudable or culpable we are.

While it is tempting to suppose that an act has moral worth just when and because it is motivated by sufficient moral reasons, philosophers have, largely, come to doubt this analysis. Doubt is rooted in two claims. The first is that some facts can motivate a given act in multiple ways, not all of which are consistent with moral worth. The second is the orthodox view that normative reasons are facts. I defend the tempting analysis by proposing and defending a (...) heterodox account of both normative and motivating reasons that is inspired by Donald Davidson’s primary reasons. We should adopt the heterodox view, I argue, because it addresses an overlooked but fatal defect in the orthodox conception of reasons, of which challenges to the tempting analysis are a special case. (shrink)

According to “debunking arguments,” our moral beliefs are explained by evolutionary and cultural processes that do not track objective, mind-independent moral truth. Therefore (the debunkers say) we ought to be skeptics about moral realism. Huemer counters that “moral progress”—the cross-cultural convergence on liberalism—cannot be explained by debunking arguments. According to him, the best explanation for this phenomenon is that people have come to recognize the objective correctness of liberalism. Although Huemer may be the first philosopher to make this explicit empirical (...) argument for moral realism, the idea that societies will eventually converge on the same moral beliefs is a notable theme in realist thinking. Antirealists, on the other hand, often point to seemingly intractable cross-cultural moral disagreement as evidence against realism (the “argument from disagreement”). This paper argues that the trend toward liberalism is susceptible to a debunking explanation, being driven by two related non-truth-tracking processes. First, large numbers of people gravitate to liberal values for reasons of self-interest. Second, as societies become more prosperous and advanced, they become more effective at suppressing violence, and they create conditions where people are more likely to empathize with others, which encourages liberalism. The latter process is not truth tracking (or so this paper argues) because empathy-based moral beliefs are themselves susceptible to an evolutionary debunking argument. Cross-cultural convergence on liberalism per se does not support either realism or antirealism. (shrink)

Inflicting harm is generally preferable to inflicting death. If you must choose between the two, you should generally choose to harm. But prenatal harm seems different. If a mother must choose between harming her fetus or aborting it, she may choose either, at least in many cases. So it seems that prenatal harm is particularly objectionable, sometimes on a par with death. This paper offers an explanation of why prenatal harm seems particularly objectionable by drawing an analogy to the all-or-nothing (...) problem. It then argues that this analogy offers independent support for the ‘voluntarist’ view that at least some parental role obligations are grounded in the choice to be a parent. (shrink)

Some prominent scientists and philosophers have stated openly that moral and political considerations should influence whether we accept or promulgate scientific theories. This widespread view has significantly influenced the development, and public perception, of intelligence research. Theories related to group differences in intelligence are often rejected a priori on explicitly moral grounds. Thus the idea, frequently expressed by commentators on science, that science is “self-correcting”—that hypotheses are simply abandoned when they are undermined by empirical evidence—may not be correct in all (...) contexts. In this paper, documentation spanning from the early 1970s to the present is collected, which reveals the influence of scientists’ moral and political commitments on the study of intelligence. It is suggested that misrepresenting findings in science to achieve desirable social goals will ultimately harm both science and society. (shrink)

A correct observation to the effect that a does not exist, where ‘a’ is a singular term, could be true on any of a variety of grounds. Typically, a true, singular negative existential is true on the unproblematic ground that the subject term ‘a’ designates something that does not presently exist. More interesting philosophically is a singular, negative existential statement in which the subject term ‘a’ designates nothing at all. Both of these contrast sharply with a singular, negative existential in (...) which the subject term is a name from fiction. I argue that such singular, negative existential statements are false. My account of fictional characters differs significantly from Kripke’s. It is shown that an objection to my account rests on a serious misunderstanding. Finally, a crucial aspect of the account is emphasized. (shrink)

A thorough critique (extracted from the author’s 1979 doctoral dissertation) of Kripke’s purported derivation, in footnote 56 of his philosophical masterpiece /Naming and Necessity/, of nontrivial modal essentialism from the theory of rigid designation.

Rather infamously, Kit Fine provided a series of counter-examples which purport to show that the modalist program of analysing essence in terms of metaphysical necessity is fundamentally misguided. Several would-be modalists have since responded, attempting to save the position from this Finean Challenge. This paper evaluates and rejects a trio of such responses, from Della Rocca, Zalta, and Gorman. But I’m not here arguing for Fine’s conclusion – ultimately, this is a fight amongst friends, with Della Rocca, Zalta, Gorman, and (...) I all wanting to be modalists, but disagreeing on the details. As such, while my primary aim is to show what’s wrong with this trio, the secondary aim is demonstrating how what’s right about them in fact pushes one towards my own sparse modalist account. So while the primary conclusion of this paper is negative, the secondary, positive, conclusion is that modalists shouldn’t give up hope – plausible responses to Fine are still out there. (shrink)

We offer an original argument for the existence of universal fictions—that is, fictions within which every possible proposition is true. Specifically, we detail a trio of such fictions, along with an easy-to-follow recipe for generating more. After exploring several consequences and dismissing some objections, we conclude that fiction, unlike reality, is unlimited when it comes to truth.

While intimately familiar, gender eludes theorizing. We argue that well-known challenges to gender’s analysis originate in a subtle ambiguity: questions about gender sometimes express questions about gender categories themselves (e.g., womanhood, manhood, and so on), while at other times expressing questions about what makes someone a member of these categories. Distinguishing these questions accentuates gender’s connections to morality, making a novel “antirealist” view of gender, or as we call it, “unrealist” view, especially natural. Gender’s relations to identity, sex, and social (...) position are illuminated along the way. Taking cues from both historical and contemporary debates in metaethics about the roles that attitudes can play in metaphysical and semantic analysis, we introduce and begin developing a comprehensive non-ameliorative framework for explicating gender’s nature and our thought and talk about it. In a slogan, on the view we defend, you belong to the gender category to which you intrinsically desire to belong. (shrink)

My title is meant to suggest a continuation of the sort of philosophical investigation into the nature of language and modality undertaken in Rudolf Carnap’s Meaning and Necessity and Saul Kripke’s Naming and Necessity. My topic belongs in a class with meaning and naming. It is demonstratives—that is, expressions like ‘that darn cat’ or the pronoun ‘he’ used deictically. A few philosophers deserve particular credit for advancing our understanding of demonstratives and other indexical words. Though Naming and Necessity is concerned (...) with proper names, not demonstratives, it opened wide a window that had remained mostly shut in Meaning and Necessity but that, thanks largely to Kripke, shall forevermore remain unbarred. Understanding of demonstrative semantics grew by a quantum leap in David Kaplan’s remarkable work, especially in his masterpiece “Demonstratives” together with its companion “Afterthoughts.” In contrast to the direct-reference propensities of these two contemporary figures, Gottlob Frege, with his uncompromisingly thoroughgoing intensionalism, shed important light on the workings of demonstratives in “Der Gedanke”—more specifically, in a few brief but insightful remarks from a single paragraph concerning tense and temporal indexicality. (shrink)

I argue that Davidson's conception of motivating reasons as belief-desire pairs suggests a model of normative reasons for action that is superior to the orthodox conception according to which normative reasons are propositions, facts, or the truth-makers of such facts.

Throughout his career, Derek Parfit made the bold suggestion, at various times under the heading of the "Normativity Objection," that anyone in possession of normative concepts is in a position to know, on the basis of their competence with such concepts alone, that reductive realism in ethics is not even possible. Despite the prominent role that the Normativity Objection plays in Parfit's non-reductive account of the nature of normativity, when the objection hasn't been ignored, it's been criticized and even derided. (...) We argue that the exclusively negative attention that the objection has received has been a mistake. On our reading, Parfit's Normativity Objection poses a serious threat to reductivism, as it exposes the uneasy relationship between our a priori knowledge of a range of distinctly normative truths and the typical package of semantic commitments that reductivists have embraced since the Kripkean revolution. (shrink)

Abstract Both parties in the active philosophical debate concerning the conceptual character of perception trace their roots back to Kant's account of sensible intuition in the Critique of Pure Reason. This striking fact can be attributed to Kant's tendency both to assert and to deny the involvement of our conceptual capacities in sensible intuition. He appears to waver between these two positions in different passages, and can thus seem thoroughly confused on this issue. But this is not, in fact, the (...) case, for, as I will argue, the appearance of contradiction in his account stems from the failure of some commentators to pay sufficient attention to Kant's developmental approach to philosophy. Although he begins by asserting the independence of intuition, Kant proceeds from this nonconceptualist starting point to reveal a deeper connection between intuitions and concepts. On this reading, Kant's seemingly conflicting claims are actually the result of a careful and deliberate strategy for gradually convincing his readers of the conceptual nature of perception. (shrink)

On Kripke’s intended definition, a term designates an object x rigidly if the term designates x with respect to every possible world in which x exists and does not designate anything else with respect to worlds in which x does not exist. Kripke evidently holds in Naming and Necessity, hereafter N&N (pp. 117–144, passim, and especially at 134, 139–140), that certain general terms – including natural-kind terms like ‘‘water’’ and ‘‘tiger’’, phenomenon terms like ‘‘heat’’ and ‘‘hot’’, and color terms like (...) ‘‘blue’’ – are rigid designators solely as a matter of philosophical semantics (independently of empirical, extra-linguistic facts). As a consequence, Kripke argues, identity statements involving these general terms are like identity statements involving proper names (e.g., ‘‘Clark Kent=Superman’’) in that, solely as a matter of philosophical semantics, they express necessary truths if they are true at all. But whereas it is reasonably clear what it is for a (first-order) singular term to designate, Kripke does not explicitly say what it is for a general term to designate. General terms are standardly treated in modern logic as predicates, usually monadic predicates. There are very forceful reasons – due independently to Church and Godel, and ultimately to Frege – for taking predicates to designate their semantic extensions. But insofar as the extension of the general term ‘‘tiger’’ is the class of actual tigers (or its characteristic function), it is clear that the term does not rigidly designate its extension, since the class of tigers in one possible world may differ from the class of tigers in another. What, then, is it for ‘‘tiger’’ to be rigid? (shrink)

Intellectual humility is commonly thought to be a mindset, disposition, or personality trait that guides our reactions to evidence as we seek to pursue the truth and avoid error. Over the last decade, psychologists, philosophers, and other researchers have begun to explore intellectual humility, using analytical and empirical tools to understand its nature, implications, and value. This review describes central questions explored by researchers and highlights opportunities for multidisciplinary investigation.

It is widely held that metaphysical modality is the broadest non-epistemic, alethic modality, and that /a posteriori/ modal essentialist truths, like that gold has atomic number 79, enjoy the necessity of the broadest alethic modality. One prominent argument for these conclusions--given by Cian Dorr, John Hawthorne, and Juhani Yli-Vakkuri--rests upon an extremely dubious premise: that certain pairs of properties—e.g., being gold and being made of atoms containing 79 protons—are one and the very same property. The two properties are seen to (...) be distinct on independent philosophical grounds. Metaphysical modality is in fact a restricted alethic modality. In particular, mathematical modality is broader than metaphysical modality. Arguably, the broadest alethic modality is logical modality, which is distinct from metaphysical modality. Even if it is metaphysically necessary that gold have atomic number 79, there is no logical/analytical inconsistency in the supposition that it does not. (shrink)

I demonstrate that a "speech act" theory of meaning for imperatives is—contra a dominant position in philosophy and linguistics—theoretically desirable. A speech act-theoretic account of the meaning of an imperative !φ is characterized, broadly, by the following claims. -/- LINGUISTIC MEANING AS USE !φ’s meaning is a matter of the speech act an utterance of it conventionally functions to express—what a speaker conventionally uses it to do (its conventional discourse function, CDF). -/- IMPERATIVE USE AS PRACTICAL !φ's CDF is to (...) express a practical (non-representational) state of mind—one concerning an agent's preferences and plans, rather than her beliefs. -/- Opposed to speech act accounts is a preponderance of views which deny that a sentence's linguistic meaning is a matter of what speech act it is used to perform, or its CDF. On such accounts, meaning is, instead, a matter of "static" properties of the sentence—e.g., how it depicts the world as being (or, more neutrally, the properties of a model-theoretic object with which the semantic value of the sentence co-varies). On one version of a static account, an imperative 'shut the window!' might, for instance, depict the world as being such that the window must be shut. -/- Static accounts are traditionally motivated against speech act-theoretic accounts by appeal to supposedly irremediable explanatory deficiencies in the latter. Whatever a static account loses in saying (prima facie counterintuitively) that an imperative conventionally represents, or expresses a picture of the world, is said to be offset by its ability to explain a variety of phenomena for which speech act-theoretic accounts are said to lack good explanations (even, in many cases, the bare ability to offer something that might meet basic criteria on what a good explanation should be like). -/- I aim to turn the tables on static accounts. I do this by showing that speech act accounts are capable of giving explanations of phenomena which fans of static accounts have alleged them unable to give. Indeed, for a variety of absolutely fundamental phenomena having to do with the conventional meaning of imperatives (and other types of practical language), speech act accounts provide natural and theoretically satisfying explanations, where a representational account provides none. (shrink)

A thesis (“weak BCP”) nearly universally held among philosophers of probability connects the concepts of objective chance and metaphysical modality: Any prospect (outcome) that has a positive chance of obtaining is metaphysically possible—(nearly) equivalently, any metaphysically impossible prospect has zero chance. Particular counterexamples are provided utilizing the monotonicity of chance, one of them related to the four world paradox. Explanations are offered for the persistent feeling that there cannot be chancy metaphysical necessities or chancy metaphysical impossibilities. Chance is objective but (...) contrary to popular opinion it is also largely epistemic. Chancy necessities are analogous to necessary a posteriori truths. Philosophy and Phenomenological Research, Volume 99, Issue 3, Page 644-662, November 2019. (shrink)

Standard compositionality is the doctrine that the semantic content of a compound expression is a function of the semantic contents of the contentful component expressions. In 1954 Hilary Putnam proposed that standard compositionality be replaced by a stricter version according to which even sentences that are synonymously isomorphic (in the sense of Alonzo Church) are not strictly synonymous unless they have the same logical form. On Putnam’s proposal, the semantic content of a compound expression is a function of: (i) the (...) contentful component expressions; and (ii) the expression’s logical form. Kit Fine recently expanded and modified Putnam’s idea into a sweeping theory in philosophy of language and philosophy of mind. The present paper is a detailed critique of Fine’s “semantic relationism.” Fine’s notion of coordination is explained in terms of the familiar pragmatic phenomenon of recognition. A serious error in Fine’s formal disproof of standard Millianism is exposed. It is demonstrated furthermore that Church’s original criticism of Putnam’s proposal can be extended to Fine’s semantic relationism. Finally, it is also demonstrated that the positive position Fine proffers to supplant standard Millianism is in fact exactly equivalent to standard Millianism, so that Fine’s overall position not only does not displace standard Millianism but is in fact inconsistent. (shrink)

Some philosophers think that the challenge of justifying punishment can be met by a theory that emphasizes the expressive character of punishment. A particular type of theories of this sort - call it Expressive Retributivism [ER] - combines retributivist and expressivist considerations. These theories are retributivist since they justify punishment as an intrinsically appropriate response to wrongdoing, as something wrongdoers deserve, but the expressivist element in these theories seeks to correct for the traditional obscurity of retributivism. Retributivists often rely on (...) appeals to controversial intuitions involving obscure concepts. While retributive intuitions can be compelling, some worry that the justificatory challenge cannot be met merely by appealing to them. ER tries to enhance the clarity and justificatory power of these intuitions and the concepts they invoke by appealing to an expressive conception of punishment. I argue that these theories fail to justify punishment and that there is reason to think that they cannot, in principle, justify punishment. (shrink)

The past decade and a half has seen an absolute explosion of literature discussing the structure of reality. One particular focus here has been on the fundamental. However, while there has been extensive discussion, numerous fundamental questions about fundamentality have not been touched upon. In this chapter, I focus on one such lacuna about the modal strength of fundamentality. More specifically, I am interested in exploring the contingent fundamentality thesis - that is, the idea that the fundamentalia are only contingently (...) fundamental (or, in property-terms, that the property of being fundamental is not a (weakly) necessary property). And while I think this thesis is plausible – indeed, I show here that it lurks in the unexamined shadows/assumptions of some fairly prominent positions – as far as I can tell, nothing has been said either for or against it. Here, I hope to fix this by giving the thesis a proper airing. In this way, this chapter represents a first-pass at exploring not only the modal status of fundamentality, but also offers a starting point for examining broader issues about the relationship between fundamentality and modality. (shrink)

An expanded and more candid version of the author’s autobiographical “My Philosophical Education”.