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 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.

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

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.

Discussions of political obligation and political authority have long focused on the idea that the commands of genuine authorities constitute content-independent reasons. Despite its centrality in these debates, the notion of content-independence is unclear and controversial, with some claiming that it is incoherent, useless, or increasingly irrelevant. I clarify content-independence by focusing on how reasons can depend on features of their source or container. I then solve the long-standing puzzle of whether the fact that laws can constitute content-independent reasons is (...) consistent with the fact that some laws must fail to bind due to their egregiously unjust content. Finally I defend my understanding of content-independence against challenges and show why it retains a place of special importance for questions about the law and political obligation. Content-independence highlights that it is some feature of the law or law-making process in general that is supposed to generate moral obligations for citizens, not the merits of particular laws. (shrink)

Alonzo Church famously provided three principal competing criteria for “strict synonymy,” i.e., sameness of semantic content. These are his Alternatives (0), (1), and (2)—numbered in order of increasing course-grainedness of content. On Alternative (2), expressions are deemed strictly synonymous iff they are logically equivalent. This criterion seems hopeless as an account of the objects of propositional attitude. On Alternative (1), expressions are deemed synonymous iff they are λ-convertible. Alternative (1) also evidently conflicts with discourse about the attitudes. On Alternative (0), (...) expressions are deemed strictly synonymous iff they are “synonymously isomorphic” in Church’s sense. On Alternative (0), semantic content is so fine-grained that not even “Romeo loves Juliet” and “Juliet is loved by Romeo” qualify as strictly synonymous. A fourth alternative, here called “Alternative (3),” deems expressions strictly synonymous iff they are co-intensional, i.e., they have the same semantic extension with respect to the same possible worlds. This criterion’s notion of content is even more course grained than that of Alternative (2). Several objections to Alternative (3) are considered. (This article is wholly contained within the author’s more definitive essay, “Singular Concepts”.). (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)

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.

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)

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)

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.

Recently, Michael Huemer has defended the Principle of Phenomenal Conservatism: If it seems to S that p, then, in the absence of defeaters, S thereby has at least some degree of justification for believing that p. This principle has potentially far-reaching implications. Huemer uses it to argue against skepticism and to defend a version of ethical intuitionism. I employ a reductio to show that PC is false. If PC is true, beliefs can yield justification for believing their contents in cases (...) where, intuitively, they should not be able to do so. I argue that there are cases where a belief that p can behave like an appearance that p and thereby make it seem to one that p. (shrink)

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)

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.

A Russellian notion of what it is for a proposition to be “directly about” something in particular is defined. Various strong and weak, and mediate and immediate, Russellian notions of general aboutness are then defined in terms of Russellian direct aboutness. In particular, a proposition is about something iff the proposition is either directly, or strongly indirectly, about that thing. A competing Russellian account, due to Kaplan, is criticized through a distinction between knowledge by description and denoting by description. The (...) epistemological significance of Russellian aboutness is assessed. A Russellian substitute for de re propositional attitude is considered. (shrink)

In Frege’s Puzzle (1986), Salmon analyzed ‘a withholds believing p’ in terms of a ternary relation BEL of x believing a proposition p under a guise g. The proposed analysis is the following: There is a proposition guise g such that a grasps p by means of g but a does not stand in BEL to p and g. Sean Crawford has made a proposal for Millians to evade propositional guises through second-order belief. Specifically, in effect, Crawford’s proposes to analyze (...) the crucial notion of withheld belief instead as believing that one does not believe: a believes that a does not believe p. Crawford’s clever proposal thus avoids explicit quantification over guises. However, it is shown that the proposal is inadequate to avoid guises. The resulting notion is too weak to capture the relevant notion of withheld belief. (shrink)

Four accounts, three of them Kantian, of true sentences of the form “ exists” are contrasted. Russell’s theory that such sentences are meaningless is contrasted with two other Kantian theories that are analogous to one another: Frege’s semantic-ascent theory and the Frege-inspired ungerade (indirect, “oblique”) theory. Frege’s objection to the semantic-ascent account of identity is applied, ironically with equal force, against his account of existence. A second argument favoring the ungerade theory is offered. The argument is then refuted through an (...) application of a general strategy suggested by Kripke. A fourth theory, the deeply anti-Kantian existence-as-predicate theory, fully accommodates these results. (shrink)

Jeffrey King's principal objection to the direct-reference theory of demonstratives is analyzed and criticized. King has responded with a modified version of his original argument aimed at establishing the weaker conclusion that the direct-reference theory of demonstratives is either incomplete or incorrect. It is argued that this fallback argument also fails.

A distinction is drawn among predicates, open sentences (or open formulas), and general terms, including general-term phrases. Attaching a copula, perhaps together with an article, to a general term yields a predicate. Predicates can also be obtained through lambda-abstraction on an open sentence. The issue of designation and semantic content for each type of general expression is investigated. It is argued that the designatum of a general term is a universal, e.g., a kind, whereas the designatum of a predicate is (...) a class (or its characteristic function) and the designatum of an open sentence is a truth-value. Predicates and open sentences are therefore typically non-rigid designators. It is argued further that certain general terms, including phrases, are invariably rigid designators, whereas certain others (general definite descriptions) are typically non-rigid. Suitable semantic contents for predicates, open sentences, and general terms are proposed. Consequences for the thesis of compositionality are drawn. (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.

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)

When the environment in which an organism lives deviates in some essential way from that to which it is adapted, this is described as “evolutionary mismatch,” or “evolutionary novelty.” The notion of mismatch plays an important role, explicitly or implicitly, in evolution-informed cognitive psychology, clinical psychology, and medicine. The evolutionary novelty of our contemporary environment is thought to have significant implications for our health and well-being. However, scientists have generally been working without a clear definition of mismatch. This paper defines (...) mismatch as deviations in the environment that render biological traits unable, or impaired in their ability, to produce their selected effects. The machinery developed by Millikan in connection with her account of proper function, and with her related teleosemantic account of representation, is used to identify four major types, and several subtypes, of evolutionary mismatch. While the taxonomy offered here does not in itself resolve any scientific debates, the hope is that it can be used to better formulate empirical hypotheses concerning the effects of mismatch. To illustrate, it is used to show that the controversial hypothesis that general intelligence evolved as an adaptation to handle evolutionary novelty can, contra some critics, be formulated in a conceptually coherent way. (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)

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)

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)

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)

Whether intentional suppression of an unpleasant or unwanted memory reduces the ability to recall that memory subsequently is a contested issue in contemporary memory research. Building on findings that similar processes are recruited when individuals remember the past and imagine the future, we measured the effects of thought suppression on memory for imagined future scenarios. Thought suppression reduced the ability to recall emotionally negative scenarios, but not those that were emotionally positive. This finding suggests that intentionally avoiding thoughts about emotionally (...) negative episodes may inhibit representations of those memories, progressively reducing their availability to recall. (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)

Expressions are synonymous if they have the same semantic content. Complex expressions are synonymously isomorphic in Alonzo Church’s sense if one is obtainable from the other by a sequence of alphabetic changes of bound variables or replacements of component expressions by syntactically simple synonyms. Synonymous isomorphism provides a very strict criterion for synonymy of sentences. Several eminent philosophers of language hold that synonymous isomorphism is not strict enough. These philosophers hold that ‘Greeks prefer Greeks’ and ‘Greeks prefer Hellenes’ express different (...) propositions even if they are synonymously isomorphic. They hold that the very recurrence (multiple occurrence) of ‘Greeks’ contributes to the proposition expressed something that indicates the very recurrence in question. Kit Fine argues that this thesis, which he labels semantic relationism calls for a radically new conception of semantics. I have argued that the relevant phenomenon is wholly pragmatic, entirely non-semantic. Here I supplement the case with a new argument. No cognition without recognition—or almost none. With this observation, standard Millianism has sufficient resources to confront Frege’s puzzle and related problems without injecting pragmatic phenomena where they do not belong. (shrink)

I’ll raise a problem for Retributivism, the view that legal punishment is justified on the basis of desert. I’ll focus primarily on Mitchell Berman’s recent defense of the view. He gives one of the most sophisticated and careful statements of it. And his argument is representative, so the problem I’ll raise for it will apply to other versions of Retributivism. His insights about justification also help to make the problem particularly obvious. I’ll also show how the problem extends to non-retributive (...) justifications of punishment. I’ll argue that Berman’s argument makes a questionable assumption about the standard of justification that justifications of punishment must meet to be successful. If we think about what it takes to justify punishment and reflect on the intuitions that retributivists appeal to, it turns out that the intuitions aren’t obviously up to the task. (shrink)