Mathematical formalism is the the view that numbers are "signs" and that arithmetic is like a game played with such signs. Frege's colleague Thomae defended formalism using an analogy with chess, and Frege's critique of this analogy has had a major influence on discussions in analytic philosophy about signs, rules, meaning, and mathematics. Here I offer a new interpretation of formalism as defended by Thomae and his predecessors, paying close attention to the mathematical details and historical context. I argue that (...) for Thomae, the formal standpoint is an _algebraic perspective_ on a domain of objects, and a "sign" is not a linguistic expression or mark, but a representation of an object within that perspective. Thomae exploits a shift into this perspective to give a purely algebraic construction of the real numbers from the rational numbers. I suggest that Thomae's chess analogy is intended to provide a model for such shifts in perspective. (shrink)

Frege says, at the end of a discussion of formalism in the Foundations of Arithmetic, that his own foundational program “could be called formal” but is “completely different” from the view he has just criticized. This essay examines Frege’s relationship to Hermann Hankel, his main formalist interlocutor in the Foundations, in order to make sense of these claims. The investigation reveals a surprising result: Frege’s foundational program actually has quite a lot in common with Hankel’s. This undercuts Frege’s claim that (...) his own view is completely different from Hankel’s formalism, and motivates a closer examination of where the differences lie. On the interpretation offered here, Frege shares important parts of the formalist perspective, but differs in recognizing a kind of content for arithmetical terms which can only be made available via proof from prior postulates. (shrink)

Frege famously held that numbers play the role of objects in our language and thought, and that this role is on display when we use sentences like "The number of Jupiter's moons is four". I argue that this role is an example of a general pattern that also encompasses persons, times, locations, reasons, causes, and ways of appearing or acting. These things are 'objects' simply in the sense that they are answers to questions: they are the sort of thing we (...) search for and specify during investigation or inquiry. I support this epistemological conception of objects by studying specificational sentences, a class of sentences which includes Frege's original example. I defend an analysis of such sentences as question-answer pairs, and show how to formally represent this analysis using game-theoretical semantics. (shrink)

What does it mean to ‘give’ the value of a variable in an algebraic context, and how does giving the value of a variable differ from merely describing it? I argue that to answer this question, we need to examine the role that giving the value of a variable plays in problem-solving practice. I argue that four different features are required for a statement to count as giving the value of a variable in the context of solving an elementary algebra (...) problem: the variable must be in the scope opened by the problem statement; the values given must be in the range of the variable, which is determined by the problem; the statement giving the values must represent a complete solution; and it must be in a canonical form. This account helps us better understand elementary algebra itself, as well as the use of algebraic tools to analyze phenomena in natural language. (shrink)

Hossack’s project in this book is to provide a new foundation for the philosophy of number inspired by the traditional idea that numbers are magnitudes.

In §57 of the Foundations of Arithmetic, Frege famously turns to natural language to support his claim that numbers are ‘self-subsistent objects’:I have already drawn attention above to the fact th...

Is it possible to recognize the limits of rationality, and thus to embrace moral pluralism, without embracing moral relativism? My answer is yes; nevertheless, certain anti-foundational positions, both recent and ancient, take a cynical stance toward the possibility of any critical moral judgment, and as such, must be regarded as relativistic.1 It is such cynicism, I argue, whether openly announced or unknowingly implied, that marks the distinction between relativism and pluralism.2 The danger of this cynicism is not so much that (...) it renders the categorical acceptance of a particular moral view unattainable, but that it renders categorical condemnation of any particular position (or action) impossible.3 Two .. (shrink)

What we value, like, endorse, want, and prefer changes over the course of our lives. Richard Pettigrew presents a theory of rational decision making for agents who recognise that their values will change over time and whose decisions will affect those future times.

Examines the theories of Socrates, Kant, Dewey, Piaget, and others to explore the implications of Socrates' question "what is a virtuous man, and what is a virtuous school and society which educates virtuous men.".

Conditionalization is one of the central norms of Bayesian epistemology. But there are a number of competing formulations, and a number of arguments that purport to establish it. In this paper, I explore which formulations of the norm are supported by which arguments. In their standard formulations, each of the arguments I consider here depends on the same assumption, which I call Deterministic Updating. I will investigate whether it is possible to amend these arguments so that they no longer depend (...) on it. As I show, whether this is possible depends on the formulation of the norm under consideration. (shrink)

In this paper we look at the manual analysis of arguments and how this compares to the current state of automatic argument analysis. These considerations are used to develop a new approach combining a machine learning algorithm to extract propositions from text, with a topic model to determine argument structure. The results of this method are compared to a manual analysis.

According to certain normative theories in epistemology, rationality requires us to be logically omniscient. Yet this prescription clashes with our ordinary judgments of rationality. How should we resolve this tension? In this paper, I focus particularly on the logical omniscience requirement in Bayesian epistemology. Building on a key insight by Hacking :311–325, 1967), I develop a version of Bayesianism that permits logical ignorance. This includes: an account of the synchronic norms that govern a logically ignorant individual at any given time; (...) an account of how we reduce our logical ignorance by learning logical facts and how we should update our credences in response to such evidence; and an account of when logical ignorance is irrational and when it isn’t. At the end, I explain why the requirement of logical omniscience remains true of ideal agents with no computational, processing, or storage limitations. (shrink)

Human biological memory systems have adapted to use technological artifacts to overcome some of the limitations of these systems. For example, when performing a difficult calculation, we use pen and paper to create and store external number symbols; when remembering our appointments, we use a calendar; when remembering what to buy, we use a shopping list. This chapter looks at the history of memory artifacts, describing the evolution from cave paintings to virtual reality. It first characterizes memory artifacts, memory systems, (...) and the two main functions such artifacts have, which are to aid individual users in completing memory tasks and as a cultural inheritance channel (section 2). It then outlines some of our first symbolic practices such as making cave paintings and figurines, and then moves on to outline several key developments in external representational systems and the artifacts that support these such as written language, numeral systems and counting devices, diagrams and maps, measuring devices, libraries and archives, photographs, analogue and digital computational artifacts, the World Wide Web, virtual reality, and smartphones (section 3). After that, it makes some brief points about the cumulative nature of the cultural evolution of memory artifacts and speculates about the possible future of memory artifacts, arguing that it is very difficult to look beyond an epistemological horizon of more than five years (section 4). (shrink)

The dispute about the role of class in understanding the life situations of people of color has tended to be overpolarized, between a class reductionism and an “it's only race” position. Class processes shape racial groups’ life situations. Race and class are also distinct axes of injustice; but class injustice informs racial injustice. Some aspects of racial injustice can be expressed only in concepts associated with class (e.g., material deprivation, inferior education). But other aspects of racial injustice or other harms, (...) such as racial discrimination or stigma, are not reducible to class concepts and cannot be fully addressed through class-focused policies. Overall, any attempt to fully secure racial justice for a racial group will require a combination of race-focused and class-focused policies. Anti-racist outlooks often neglect or downplay either the normative or the explanatory significance of class, or both—for example, by overlooking or downplaying the dignitary harms of class and the material harms of race; missing the historical dimension of class injustice; masking class by a narrowing of the complex normative structure of racial disparities; or not recognizing that a class-focused initiative (like raising the minimum wage) can address substantial racial justice concerns, even though not all of them. “Systemic racism” terminology recognizes class explanatorily but suppresses it normatively. Charles Mills's influential notion of “white supremacy,” while a powerful tool for conceptualizing and illuminating racial injustice, can also contribute to minimizing or masking the justice-related impact of class, as do some of Mills's specific discussions of class in various writings. (shrink)

Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbert proposed a two-pronged approach in 1921: first, classical mathematics should be formalized in axiomatic systems; second, using only restricted, “finitary” means, one should give proofs of the consistency of these axiomatic systems. Although Gödel’s incompleteness theorems show that the program as originally conceived cannot be carried out, it had many partial (...) successes, and generated important advances in logical theory and metatheory, both at the time and since. The article discusses the historical background and development of Hilbert’s program, its philosophical underpinnings and consequences, and its subsequent development and influences since the 1930s. (shrink)

Politics never became a central intellectual interest of Murdoch’s, but she produced one important and visionary political essay in the ‘50’s, several popular writings on political matters, and a significant chapter in Metaphysics as a Guide to Morals that echoes throughout that book. In the 1958 “House of Theory,” she sees the welfare state as having almost entirely failed to address the deeper problems of capitalist society, including a failure to create the conditions for values she saw as central to (...) the socialist tradition—equality, absence of exploitation, meaningful work, and a sense of community. In Metaphysics as a Guide to Morals, Murdoch abandons the idea that moral ideals provide a guide to constructing a good society. She retains from her earlier work that the individual-moral domain is governed by perfectionism, but society cannot be. ‘Society must be thought of as a bad job to be made the best of’, for example, through the liberal idea of rights. Murdoch had a lifelong engagement with Marxism as a philosophy, introduced to her as a member of the Communist Party in the late ‘30’s and ‘40’s, and continuing through her subsequent long Labour period, and even when she moved to the Right in the Thatcher era. Marx and Marxism were always part of her mental universe, and she continued to work out what she agreed and disagreed with in it. (shrink)

In this paper I defend what I call the argument from epistemic reasons against the moral error theory. I argue that the moral error theory entails that there are no epistemic reasons for belief and that this is bad news for the moral error theory since, if there are no epistemic reasons for belief, no one knows anything. If no one knows anything, then no one knows that there is thought when they are thinking, and no one knows that they (...) do not know everything. And it could not be the case that we do not know that there is thought when we believe that there is thought and that we do not know that we do not know everything. I address several objections to the claim that the moral error theory entails that there are no epistemic reasons for belief. It might seem that arguing against the error theory on the grounds that it entails that no one knows anything is just providing a Moorean argument against the moral error theory. I show that even if my argument against the error theory is indeed a Moorean one, it avoids Streumer's, McPherson's and Olson's objections to previous Moorean arguments against the error theory and is a more powerful argument against the error theory than Moore's argument against external world skepticism is against external world skepticism. (shrink)

Since the publication of Andrews Reath's “Two Conceptions of the Highest Good in Kant” (Journal of the History of Philosophy 26:4 (1988)), most scholars have come to accept the view that Kant migrated away from an earlier “theological” version to one that is more “secular.” The purpose of this paper is to explore the roots of this interpretative trend, re-assess its merits, and then examine how the Highest Good is portrayed in Kant’s Religion within the Boundaries of Mere Reason. As (...) will be argued, it is in this text more so than any other where Kant develops his most philosophically sophisticated account of the Highest Good. Because of the central significance of Kant’s doctrine of the Highest Good for both his ethical theory and philosophy of religion, this paper therefore seeks to provide an important corrective to the current received views. (shrink)

Rescorla (Erkenntnis, 2020) has recently pointed out that the standard arguments for Bayesian Conditionalization assume that whenever I become certain of something, it is true. Most people would reject this assumption. In response, Rescorla offers an improved Dutch Book argument for Bayesian Conditionalization that does not make this assumption. My purpose in this paper is two-fold. First, I want to illuminate Rescorla’s new argument by giving a very general Dutch Book argument that applies to many cases of updating beyond those (...) covered by Conditionalization, and then showing how Rescorla’s version follows as a special case of that. Second, I want to show how to generalise R. A. Briggs and Richard Pettigrew’s Accuracy Dominance argument to avoid the assumption that Rescorla has identified (Briggs and Pettigrew in Noûs, 2018). In both cases, these arguments proceed by first establishing a very general reflection principle. (shrink)

Observers have noted a decline (in the US) in attributions of genetically-based inferiority (e.g. in intelligence) to Blacks, and a rise in attributions of culturally-based inferiority. Is this "culturalism" merely warmed-over racism ("cultural racism") or a genuinely distinct way of thinking about racial groups? The question raises a larger one about the relative place of biology and culture in racist thought. I develop a typology of culturalisms as applied to race: (1) inherentist or essentialist culturalism (inferiorizing cultural characteristics wrongly but (...) intelligibly regarded as inhering in the nature of racial groups). This view has an historical pedigree in the work of J.G. von Herder, and the tradition of "national racism." (2) non-inherentist culturalism (groups regarded as possessing changeable, malleable inferiorizing cultural characteristics). (3) colonalist culturalism (colonial subjects regarded as uncivilized but capable of becoming civilized under European tutelage). (4) neo-racism (cultures of former colonial subjects in or potentially immigrating to European countries are regarded in an inherentist manner and incompatible with but not inferior to European cultures). Non-inherentist culturalism (#2) can be put to either a racist or an anti-racist use. (shrink)

Many philosophers nowadays believe Frege was right about belief, but wrong about language: The contents of beliefs need to be individuated more finely than in terms of Russellian propositions, but the contents of utterances do not. I argue that this 'hybrid view' cannot offer no reasonable account of how communication transfers knowledge from one speaker to another and that, to do so, we must insist that understanding depends upon more than just getting the references of terms right.

I discuss a puzzle that arises as an apparent tension between plausible theories of good guessing and intuitive constraints on rational inquiry. Clearly, our best guess at a question should reflect the likelihoods we assign to its possible answers. Your best guess is the answer you judge most likely. Additionally, it seems like a requirement of rational inquiry that our guesses be coherent. Thus, our best guess to a constituent (wh-) questions should cohere with our best guess to a polar (...) (yes/no) question whenever answers to the former entail answers to the latter. I argue that these requirements are in conflict and that a familiar form of contextualism doesn’t resolve the issue. The puzzle stands as a challenge to existing accounts of rational inquiry and question directed attitudes like guessing. (shrink)

All humans have an equal basic moral status. They possess the same fundamental rights, and the comparable interests of each person should count the same in calculations that determine social policy. Neither supposed racial differences, nor skin color, sex, sexual orientation, ethnicity, intelligence, nor any other differences among humans negate their fundamental equal worth and dignity. These platitudes are virtually universally affirmed. A white supremacist racist or an admirer of Adolf Hitler who denies them is rightly regarded as beyond the (...) pale of civilized dialogue. However, a very simple line of argument developed by Peter Singer challenges our understanding of these platitudes and forces us to rethink the basis and nature of the moral equality of all humans. What I call the “Singer Problem” arises if one accepts that the morally significant cognitive capacities that are relevant to the determination of the fundamental moral status of a being vary from individual to individual by degree. The problem is to specify a moral principle determining fundamental moral status that assigns a superior status to humans compared to other animals on the basis of the superior cognitive capacities of humans but also assigns all human persons an equal fundamental moral status regardless of their differing cognitive capacities. More broadly posed, the problem is to specify moral principles that yield intuitively satisfactory implications for the treatment of human individuals and other individual animals given that cognitive capacities differ across species and individuals. A search for a resolution of the Singer problem leads to disappointing results. (shrink)

The scientific consensus regarding anthropogenic climate change is firmly established yet climate change denialism, a species of what I call pseudoskepticism, is on the rise in industrial nations most responsible for climate change. Such denialism suggests the need for a robust ethics of inquiry and public discourse. In this paper I argue: (1) that ethical obligations of inquiry extend to every voting citizen insofar as citizens are bound together as a political body. (2) It is morally condemnable for public officials (...) to put forward assertions contrary to scientific consensus when such consensus is decisive for public policy and legislation. (3) It is imperative upon educators, journalists, politicians and all those with greater access to the public forum to condemn, factually and ethically, pseudoskeptical assertions made in the public realm without equivocation. (shrink)

Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, but have been (...) expanded by the development of sophisticated methods to study the properties of such systems using proof and model theory. In parallel with this evolution of logical formalisms as tools for articulating mathematical theories (broadly speaking), much progress has been made in the quest for a mechanization of logical inference and the investigation of its theoretical limits, culminating recently in the development of new foundational frameworks for mathematics with sophisticated computer-assisted proof systems. In addition, logical formalisms developed by logicians in mathematical and philosophical contexts have proved immensely useful in describing theories and systems of interest to computer scientists, and to some degree, vice versa. Three examples of the influence of logic in computer science are automated reasoning, computer verification, and type systems for programming languages. (shrink)

This paper is concerned with neo-Fregean accounts of reference to abstract objects. It develops an objection to the most familiar such accounts, due to Bob Hale and Crispin Wright, based upon what I call the 'proliferation problem': Hale and Wright's account makes reference to abstract objects seem too easy, as is shown by the fact that any equivalence relation seems as good as any other. The paper then develops a response to this objection, and offers an account of what it (...) is for abstracta to exist that is Fregean in spirit but more robust than familiar views. (shrink)

Solidarity within a group facing adversity exemplifies certain human goods, some instrumental to the goal of mitigating the adversity, some non-instrumental, such as trust, loyalty, and mutual concern. Group identity, shared experience, and shared political commitments are three distinct but often-conflated bases of racial group solidarity. Solidarity groups built around political commitments include members of more than one identity group, even when the political focus is primarily on the justice-related interests of only one identity group (such as African Americans). A (...) solidarity group is more than a mere political coalition or alliance. Two other forms of political- commitment solidarity groups are ones devoted to racial justice more generally, and social justice even more generally. Racially plural political solidarity groups realize values beyond the afore-mentioned solidaristic ones, in meeting the challenges of different races working together. (shrink)

An investigation of Frege’s various contributions to the study of language, focusing on three of his most famous doctrines: that concepts are unsaturated, that sentences refer to truth-values, and that sense must be distinguished from reference.

In the Fifth Meditation, Descartes makes a remarkable claim about the ontological status of geometrical figures. He asserts that an object such as a triangle has a 'true and immutable nature' that does not depend on the mind, yet has being even if there are no triangles existing in the world. This statement has led many commentators to assume that Descartes is a Platonist regarding essences and in the philosophy of mathematics. One problem with this seemingly natural reading is that (...) it contradicts the conceptualist account of universals that one finds in the Principles of Philosophy and elsewhere. In this paper, I offer a novel interpretation of the notion of a true and immutable nature which reconciles the Fifth Meditation with the conceptualism of Descartes' other work. Specifically, I argue that Descartes takes natures to be innate ideas considered in terms of their so-called 'objective being'. (shrink)

Accuracy arguments for the core tenets of Bayesian epistemology differ mainly in the conditions they place on the legitimate ways of measuring the inaccuracy of our credences. The best existing arguments rely on three conditions: Continuity, Additivity, and Strict Propriety. In this paper, I show how to strengthen the arguments based on these conditions by showing that the central mathematical theorem on which each depends goes through without assuming Additivity.

Neoliberalism is an approach to social policy, now globally influential, that applies market approaches to all aspects of social life, including education. Charter schools, privately operated but publicly funded, are its most prominent manifestation in the U.S. The neoliberal principles of competition, consumerism, and choice cannot serve as foundations of a sound and equitable public education system. Neoliberalism embraces socio-economic inequality overall and in doing so constricts any justice mission its adherents espouse in virtue of serving a relatively disadvantaged student (...) population, as charter schools often (by no means always) do. It constricts educational justice by (1) embracing a “human capital” approach as the primary good of education, (2) creating educational inequality through (unofficially) selecting a relatively advantaged segment of the disadvantaged demographic it serves, (3) denying the effect of poverty on educational performance, and (4) devaluing its students’ familial ethnic cultures. (shrink)

The Intergovernmental Panel on Climate Change has developed a novel framework for assessing and communicating uncertainty in the findings published in their periodic assessment reports. But how should these uncertainty assessments inform decisions? We take a formal decision-making perspective to investigate how scientific input formulated in the IPCC’s novel framework might inform decisions in a principled way through a normative decision model.

The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux for classical (and intuitionistic) logic. One particular method for systematically obtaining calculi for all finite-valued logics was invented independently by several researchers, with slight variations in design and presentation. The main aim of this report is to develop the proof theory of finite-valued first order (...) logics in a general way, and to present some of the more important results in this area. In Systems covered are the resolution calculus, sequent calculus, tableaux, and natural deduction. This report is actually a template, from which all results can be specialized to particular logics. (shrink)

This paper discusses Frege's account of definition by induction in Grundgesetze and the two key theorems Frege proves using it.

In Pietroski ( 2018 ) a simple representation language called SMPL is introduced, construed as a hypothesis about core conceptual structure. The present work is a study of this system from a logical perspective. In addition to establishing a completeness result and a complexity characterization for reasoning in the system, we also pinpoint its expressive limits, in particular showing that the fourth corner in the square of opposition (“ Some_not ”) eludes expression. We then study a seemingly small extension, called (...) SMPL +, which allows for a minimal predicate-binding operator. Perhaps surprisingly, the resulting system is shown to encode precisely the concepts expressible in first-order logic. However, unlike the latter class, the class of SMPL + expressions admits a simple procedural (context-free) characterization. Our contribution brings together research strands in logic—including natural logic, modal logic, description logic, and hybrid logic—with recent advances in semantics and philosophy of language. (shrink)

Longtermism is the view that the most urgent global priorities, and those to which we should devote the largest portion of our resources, are those that focus on (i) ensuring a long future for humanity, and perhaps sentient or intelligent life more generally, and (ii) improving the quality of the lives that inhabit that long future. While it is by no means the only one, the argument most commonly given for this conclusion is that these interventions have greater expected goodness (...) per unit of resource devoted to them than each of the other available interventions, including those that focus on the health and well-being of the current population. In this paper, I argue that, even if we grant the consequentialist ethics upon which this argument depends, and even if we grant one of the axiologies that are typically paired with that ethics to give the argument, we are not morally required to choose an option that maximises expected utility; indeed, we might not even be permitted to do so. Instead, I will argue, if the argument's consequentialism is correct, we should choose using a decision theory that is sensitive to risk, and allows us to give greater weight to worse-case outcomes than expected utility theory does. And, I will show, such decision theories do not always recommend longtermist interventions. Indeed, sometimes, they recommend exactly the opposite: sometimes, they recommend hastening human extinction. Many, though not all, will take this as a reductio of the consequentialism or the axiology of the argument. I remain agnostic on the conclusion we should draw. (shrink)

The desirability of what actually occurs is often influenced by what could have been. Preferences based on such value dependencies between actual and counterfactual outcomes generate a class of problems for orthodox decision theory, the best-known perhaps being the so-called Allais Paradox. In this paper we solve these problems by extending Richard Jeffrey's decision theory to counterfactual prospects, using a multidimensional possible-world semantics for conditionals, and showing that preferences that are sensitive to counterfactual considerations can still be desirability maximising. (...) We end the paper by investigating the conditions necessary and sufficient for a desirability function to be an expected utility. It turns out that the additional conditions imply highly implausible epistemic principles. (shrink)

As is well-known, the formal system in which Frege works in his Grundgesetze der Arithmetik is formally inconsistent, Russell’s Paradox being derivable in it.This system is, except for minor differ...

We often learn the opinions of others without hearing the evidence on which they're based. The orthodox Bayesian response is to treat the reported opinion as evidence itself and update on it by conditionalizing. But sometimes this isn't feasible. In these situations, a simpler way of combining one's existing opinion with opinions reported by others would be useful, especially if it yields the same results as conditionalization. We will show that one method---upco, also known as multiplicative pooling---is specially suited to (...) this role when the opinions you wish to pool concern hypotheses about chances. The result has interesting consequences: it addresses the problem of disagreement between experts; and it sheds light on the social argument for the uniqueness thesis. (shrink)

How much does rationality constrain what we should believe on the basis of our evidence? According to this book, not very much. For most people and most bodies of evidence, there is a wide range of beliefs that rationality permits them to have in response to that evidence. The argument, which takes inspiration from William James' ideas in 'The Will to Believe', proceeds from two premises. The first is a theory about the basis of epistemic rationality. It's called epistemic utility (...) theory, and it says that what it is epistemically rational for you to believe is what it would be rational for you to choose if you were given the chance to pick your beliefs and, when picking them, you were to care only about their epistemic value. So, to say which beliefs are permitted, we must say how to measure epistemic value, and which decision rule to use when picking your beliefs. The second premise is a claim about attitudes to epistemic risk, and it says that rationality permits many different such attitudes. These attitudes can show up in epistemic utility theory in two ways: in the way you measure epistemic value; and in the decision rule you use to pick beliefs. This book explores the latter. The result is permissivism about epistemic rationality: different attitudes to epistemic risk lead to different choices of prior beliefs; given most bodies of evidence, different priors lead to different posteriors; and even once we fix your attitudes to epistemic risk, if they are at all risk-inclined, there is a range of different priors and therefore different posteriors they permit. (shrink)

Effective altruism sounds so innocuous—who could possibly be opposed to doing good more effectively? Yet it has inspired significant backlash in recent years. This paper addresses some common misconceptions and argues that the core “beneficentric” ideas of effective altruism are both excellent and widely neglected. Reasonable people may disagree on details of implementation, but all should share the basic goals or values underlying effective altruism.

Nichols’s view of empathy (in Sentimental Rules) in light of experimental moral psychology suffers from several deficiencies: (1) It operates with an impoverished view of the altruistic emotions (empathy, sympathy, concern, compassion, etc.) as mere short-term, affective states of mind, lacking any essential connection to intentionality, perception, cognition, and expressiveness. (2) It fails to keep in focus the moral distinction between two very different kinds of emotional response to the distress and suffering of others—other-directed, altruistic, emotions that have moral value, (...) and self-directed emotional responses, such as personal distress, that do not. (3) Nichols is correct to see morality as requiring affectivity, and the capability of emotional response to others; but his incorrect view of altruistic emotions (and of emotions in general) leads him to misstate the connection between morality and emotion. (4) Nichols’s specific attempt to ground moral judgment in emotion fails, but the argument he provides for it is part of the explanation of point (2), his failure to sustain the distinction between egoistic and altruistic emotions. (5) Without in any way denying that moral philosophy is strengthened by knowledge of empirical psychology, I suggest that the foregoing failures of Nichols’s argument are partly due to his misuse of particular empirical results and findings, and possibly in part to a weakened commitment to the distinctive contribution the humanistic methods of philosophy make to our understanding of the moral dimension of life. (shrink)

I argue that Descartes intended the so-called ontological "argument" as a self-validating intuition, rather than as a formal proof. The textual evidence for this view is highly compelling, but the strongest support comes from understanding Descartes's diagnosis for why God's existence is not 'immediately' self-evident to everyone and the method of analysis that he develops for making it self-evident. The larger aim of the paper is to use the ontological argument as a case study of Descartes's nonformalist theory of deduction (...) and his method of analysis, showing how he conceives the latter as a form of philosophical therapy. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 43.1 (2005) 55-81 [Access article in PDF] Self-Knowledge in Descartes and Malebranche Lawrence Nolan John Whipple 1. Introduction Descartes's notorious claim that mind is better known than body has been the target of repeated criticisms, but none appears more challenging than that of his intellectual heir Nicolas Malebranche.1 Whereas other critics—especially twentieth-century philosophers eager to use Descartes as their whipping boy—have often (...) been uncharitable, Malebranche accepts many of the fundamental Cartesian doctrines, including mind-body dualism. But he argues that Descartes's position on knowledge of the mind is internally inconsistent. Malebranche agrees with Descartes that the existence of the mind is better known than that of body, but he vehemently denies that the nature of the mind is better known. This denial is based on his view that we lack a clear idea of the mind.2 [End Page 55]Malebranche's polemic has attracted much attention in recent scholarship.3 The growing consensus among commentators is that Malebranche develops a devastating internal critique of Descartes's theory of the mind. For example, Nicholas Jolley writes: "In his case for his negative thesis [concerning knowledge of the mind] Malebranche mounted a powerful, even annihilating, critique of Descartes. This critique embodies the remarkable insight that there is a serious muddle at the heart of Descartes's whole theory of knowledge."4 In a book-length defense of Malebranche's critique, Tad Schmaltz also emphasizes its internal character: "the interpretation here of Malebranche's theory presents it as fundamentally Cartesian, and thereby serves to reinforce his own view that he has provided an authoritative interpretation of the account of mind in the writings of Descartes and other Cartesians."5 Schmaltz also asserts: "Malebranche took his negative thesis concerning our knowledge of the soul to involve not so much a rejection of Cartesianism as an internal correction of it."6We think such remarks misstate the case. Indeed, we argue in this paper that Malebranche's polemic fails as an internal critique of Descartes's theory of the mind. Although we do not here aspire to defend Descartes's strong thesis—that mind is better known than body—we do think he can consistently maintain that we have a clear and distinct idea of the mind, and thus that our knowledge of the mind's nature is at least on a par with our knowledge of corporeal nature.7 While Malebranche's rhetoric would encourage us to think that the debate between him and his predecessor is being fought on common or neutral ground, the fact is that Malebranche often appeals to assumptions and aspects of his own theory of "Vision in God" that Descartes would reject. Once more, he interprets Descartes's theory of knowledge in ways that are misguided and sometimes even uncharitable. If Malebranche's critique succeeds at all, it succeeds only against a straw man—Malebranche's Descartes and not the historical figure.Ours is not the first effort to defend Descartes against this particular attack. When Malebranche first published his critique in Book Three of his first great work, The Search After Truth (1674),8 Descartes had been dead for over two decades, [End Page 56] but he was ably defended by the famous Cartesian Antoine Arnauld in On True and False Ideas (1683). In the ensuing debate Arnauld was clearly the superior dialectician, but while winning several tactical points, he appears not to fully appreciate the crux of Malebranche's argument, or at least that is the view of Jolley and Schmaltz.9 We have a somewhat higher opinion of Arnauld's side of the debate. Granted, some of his defenses are facile and can be easily dismissed; others however are quite compelling when properly developed. In at least one instance, we attempt to provide that development. At the same time we think it is a mistake to treat Arnauld as Descartes's surrogate or as if he had issued the final salvo from the camp of the orthodox Cartesians. Arnauld was a... (shrink)