ABSTRACT A belief is correct if and only if the believed proposition is true. Some philosophers argued that from this standard of correctness it is possible to derive the statement of a norm, a claim about what a subject ought to do. Many formulations of the standard in terms of an ‘ought’-claim have been suggested, but all resulted affected by some problem. My aim in this article is to suggest a new formulation of the standard in ‘ought’-terms based on an (...) analysis of the relations occurring between the notions of correctness and ‘ought’. My suggested formulation is that, for any subject S and proposition p, according to the standard of correctness, given that S believes that p, it ought to be that p. (shrink)

The aim of the present contribution is to defend a specific version of moderate skeptical invariantism, which I call Practical Skeptical Invariantism (PSI). The view is a form of skepticism to the extent that it denies knowledge of many facts that we ordinarily think or claim to know. It is moderate to the extent that it is supposed to be compatible with a quite weak, non-radical form of skepticism. According to this view, the threshold on evidential support required for knowledge (...) should be partially fixed by the practical circumstances of the subject: someone is in a position to know a proposition p only if she would be rational to act as if p even if the practical stakes on p were maximally high. I consider and address what I take to be the most pressing problem for the view, namely, that the view can’t avoid a collapse into a radical form of skepticism. Moreover, I propose a positive argument for this view. The argument relies on the claim that judgments in high stakes are generally more reliable than in low stakes. (shrink)

Linguistic data are commonly considered a defeasible source of evidence from which it is legitimate to draw philosophical hypotheses and conclusions. Traditionally epistemologists have relied almost exclusively on linguistic data from western languages, with a primary focus on contemporary English. However, in the last two decades there has been an increasing interest in cross-linguistic studies in epistemology. In this entry, we provide a brief overview of cross-linguistic data discussed by contemporary epistemologists and the philosophical debates they have generated.

The paper investigates what type of motivation can be given for adopting a knowledge-based decision theory. KBDT seems to have several advantages over competing theories of rationality. It is commonly argued that this theory would naturally fit with the intuitive idea that being rational is doing what we take to be best given what we know, an idea often supported by appeal to ordinary folk appraisals. Moreover, KBDT seems to strike a perfect balance between the problematic extremes of subjectivist and (...) objectivist decision theory. We argue that these alleged advantages do not stand up to a closer scrutiny: KBDT inherits the same kinds of problems as alternative decision theoretic frameworks but doesn’t retain any of the respective advantages. Moreover, differently from other knowledge-action principles advanced in the literature, KBDT cannot fully explain the intuitive connections between knowledge and rational action. We conclude that the most serious challenge for knowledge-based decision theorists is to provide a substantive rationale for the adoption of such a view. (shrink)

What is knowledge? What should knowledge be like? Call an epistemological project that sets out to answer the first question ‘descriptive’ and a project that sets out to answer the second question ‘normative’. If the answers to these two questions don’t coincide—if what knowledge should be like differs from what knowledge is like—there is room for a third project we call ‘revisionary’. A revisionary project starts by arguing that what knowledge should be differs from what knowledge is. It then proposes (...) that we revise our account of knowledge accordingly. Our aim in this paper was to develop a methodology for revisionary projects in epistemology. Put roughly, the thought is that we start by looking at the various things that we expect knowledge to do for us. Once we have a list of the various things we expect knowledge to do for us we have a ‘job description’; a list of tasks we need done, and that we expect knowledge to perform. With the job description in hand, we can ask what knowledge would hav.. (shrink)

I introduce and defend a view about knowledge that I call Moderate Skeptical Invariantism. According to this view, a subject knows p only if she is practically certain that p, where practical certainty is defined as the confidence a rational subject would have to have for her to believe that p and act on p no matter the stakes. I do not provide a definitive case for this view, but I argue that it has several explanatory advantages over alternative views (...) and I show how it can avoid two pressing problems commonly addressed to similar approaches. (shrink)

Recently some epistemologists have approached the question whether epistemic justification comes in degrees from a linguistic perspective. Drawing insights from linguistic analyses of gradable adjectives, they investigate whether epistemic occurrences of ‘justified’ are gradable and if yes what type of gradability they involve. These authors conclude that the adjective passes standard tests for gradability, but they classify it as belonging to different categories: as either an absolute or a relative gradable adjective. The aim of this paper is to further clarify (...) the question of what kind of gradability is instantiated by epistemic uses of ‘justified’, and to investigate the consequences that this may have on epistemological theorizing. In particular, we challenge the alleged evidence provided by Siscoe (2021: 517–59) for the relative gradability of ‘justified’ and we provide positive arguments for the claim that ‘justified’ is a specific kind of absolute gradable adjective (a totally closed scale absolute with default minimal reading). We consider some important philosophical implications of these results. We also argue that the scale type of ‘justified’ is ordinal, and we consider which other properties typically associated to justification possess a similar type of scale. We argue that several popular contemporary models of graded justification, such as probabilistic and reliabilist accounts and various kinds of Lockean views, do not fit well with our results about the gradability of ‘justified’. Linguistic data rather favour normalcy and plausibility accounts of graded justification. (shrink)

Potential perspectivism is the view that what an agent ought to do (believe, like, fear, … ) depends primarily on facts that are potentially available to her. I consider a challenge to this view. Potentially accessible facts do not always agglomerate over conjunction. This implies that one can fail to have relevant access to a set of facts as a whole but have access to proper subsets of it, each of which can support different incompatible responses. I argue that potential (...) perspectivism has no unproblematic answer to the question of what the agent ought to do (believe, like, fear, … ) in such circumstances. (shrink)

According to the Rational Threshold View, a rational agent believes p if and only if her credence in p is equal to or greater than a certain threshold. One of the most serious challenges for this view is the problem of statistical evidence: statistical evidence is often not sufficient to make an outright belief rational, no matter how probable the target proposition is given such evidence. This indicates that rational belief is not as sensitive to statistical evidence as rational credence. (...) The aim of this paper is twofold. First, we argue that, in addition to playing a decisive role in rationalizing outright belief, non-statistical evidence also plays a preponderant role in rationalizing credence. More precisely, when both types of evidence are present in a context, non-statistical evidence should receive a heavier weight than statistical evidence in determining rational credence. Second, based on this result, we argue that a modified version of the Rational Threshold View can avoid the problem of statistical evidence. We conclude by suggesting a possible explanation of the varying sensitivity to different types of evidence for belief and credence based on the respective aims of these attitudes. (shrink)

Il paradosso della conoscibilità è un semplice argomento che partendo da premesse piuttosto modeste giunge alla sorprendente conclusione che vi sono verità inconoscibili; verità che è impossibile sapere non già per limiti fisici o cognitivi, ma nemmeno in linea di principio. L’argomento sembra dimostrare l’esistenza di limiti necessari ed ineludibili del sapere umano. Tale conclusione è apparentemente in grado di confutare un gran numero di teorie filosofiche quali per esempio l’idealismo trascendentale Kantiano, il pragmatismo di Peirce e James, e varie (...) forme contemporanee di antirealismo e verificazionismo. Il presente lavoro intende fornire una introduzione al paradosso e al dibattito filosofico che esso ha generato. Il libro discute criticamente vari approcci al paradosso, introduce una nuova interpretazione della sua conclusione, ed esplora alcune sue applicazioni in diversi ambiti della filosofia contemporanea. (shrink)

The thesis includes six essays, each corresponding to a chapter, which have the target of widening the discussion on the limits of knowability through the consideration of some general problematics and the discussion of specific topics. The work is composed of two parts, each of three chapters. In the first part, the discussion is focused on a perspective proper of the philosophy of language. In particular, I consider the discussion on the limits of knowability from the point of view of (...) the debate between semantic realism and antirealism. The second part of the thesis is focused on the discussion on the limits of knowability from a perspective more strictly epistemological and proper of the philosophy of science. (shrink)

A recent view in contemporary epistemology holds that practical reasoning is governed by an epistemic norm. Evidence for the existence of this norm is provided by the ways in which we assess our actions and reasoning on the basis of whether certain epistemic conditions are satisfied. Philosophers disagree on what this norm is—whether it is knowledge, justified belief or something else. Nobody however challenges the claim that practical reasoning is governed by such a norm. I argue that assuming the existence (...) of an epistemic norm of practical reasoning is neither the only nor the best way to accommodate the available data. I introduce and defend an alternative account that avoids the assumption. According to this account, the relevant epistemic assessments of action and reasoning are instrumental assessments relative to the regulation conditions of a non-epistemic norm. (shrink)

Objectivism is the view that how an agent ought to act depends on all kinds of facts, regardless of the agent’s epistemic position with respect to them. One of the most important challenges to this view is constituted by certain cases involving specific conditions of uncertainty—so-called three-options cases. In these cases it seems overwhelmingly plausible that an agent ought to do what is recommendable given her limited perspective, even though the agent knows that this is not objectively the best course (...) of action. The standard objectivist response to this challenge relies on a distinction between what one ought to do and what would be blameworthy or unreasonable to do. This response is affected by several problems. In this paper I introduce and defend an alternative objectivist response to the challenge. My proposal admits that in the relevant cases the agent ought to do what is recommendable given her perspective, but maintains that this diagnosis of the cases is fully compatible with objectivism. I argue that this proposal has several advantages over alternative accounts of the cases. (shrink)

An increasingly popular view in contemporary epistemology holds that the most fundamental norm governing belief is knowledge. According to this norm one shouldn’t believe what one doesn’t know. A prominent argument for the knowledge norm appeals to the claim that knowledge is the most general condition of epistemic assessment of belief, one entailing all other conditions under which we epistemically assess beliefs (truth, evidence, reliability…). This norm would provide an easy and straightforward explanation of why we assess beliefs along all (...) these various epistemic dimensions. This article argues that this line of argument is ultimately unsuccessful. I show that the main premise of the argument actually supports the opposite conclusion: the norm of belief requires a condition weaker than knowledge. Furthermore, I argue that if we hold on to the assumption that knowledge is the most general condition of belief’s epistemic assessment, the fundamental norm of belief is factive: one is not permitted to believe a proposition p if it is not true that p. (shrink)

An increasingly popular view in contemporary epistemology holds that the most fundamental norm governing belief is knowledge. According to this norm one shouldn’t believe what one doesn’t know. A prominent argument for the knowledge norm appeals to the claim that knowledge is the most general condition of epistemic assessment of belief, one entailing all other conditions under which we epistemically assess beliefs. This norm would provide an easy and straightforward explanation of why we assess beliefs along all these various epistemic (...) dimensions. This article argues that this line of argument is ultimately unsuccessful. I show that the main premise of the argument actually supports the opposite conclusion: the norm of belief requires a condition weaker than knowledge. Furthermore, I argue that if we hold on to the assumption that knowledge is the most general condition of belief’s epistemic assessment, the fundamental norm of belief is factive: one is not permitted to believe a proposition p if it is not true that p. (shrink)

Deontic Doxastic Constitutivism is the view that beliefs are constitutively governed by deontic norms. This roughly means that a full account and understanding of the nature of these mental attitudes cannot be reached unless one appeals to some norm of this type. My aim in this article is to provide an objection to such a conception of the normativity of belief. I argue that if some deontic norm is constitutive of belief, then the addressees of such a norm are committed (...) to a potentially infinite number of norms. Furthermore, if addressees are in the position to fulfill all such norms, they must also be able to hold a potentially infinite number of logically independent beliefs. Both these consequences are problematic if compared with limited human capacities to act and believe. (shrink)

A minimal constraint on normative reasons seems to be that if some fact is a reason for an agent to φ (act, believe, or feel), the agent could come to know that fact. This constraint is threatened by a well-known type of counterexamples. Self-effacing reasons are facts that intuitively constitute reasons for an agent to φ, but that if they were to become known, they would cease to be reasons for that agent. The challenge posed by self-effacing reasons bears important (...) structural similarities with a range of epistemic paradoxes, most notably the Knowability Paradox. In this article, we investigate the similarities and differences between the two arguments. Moreover, we assess whether some of the approaches to the Knowability Paradox could help solve the challenge posed by self-effacing reasons. We argue that at least two popular approaches to the paradox can be turned into promising strategies for addressing the self-effacing reasons problem. (shrink)

Selon une thèse populaire en épistémologie contemporaine, une croyance est justifiée si, et seulement si, elle est une connaissance. Les défenseurs de cette thèse soutiennent également que la connaissance est la norme fondamentale de la croyance et que la conformité à cette norme est à la fois nécessaire et suffisante pour la justification. Je conteste l’affirmation selon laquelle la simple conformité à une norme suffit à justifier une croyance. La justification exige la conformité pour des raisons suffisantes et «invaincues». Une (...) conséquence de ceci est le rejet de la thèse selon laquelle la conformité à la norme de la croyance est nécessaire et suffisante pour la justification épistémique. (shrink)

Benjamin Kiesewetter has recently provided an argument to the effect that necessarily, if one has decisive reason to φ, then one has sufficient reason to believe that she herself has decisive reason to φ. If sound, this argument has important implications for several debates in contemporary normative philosophy. I argue that the main premise in the argument is problematic and should be rejected. According to this premise (PRR), necessarily, one can respond correctly to all the decisive reasons one has. I (...) show that PRR is confronted with counterexamples and presupposes an implausible commensurability of all kinds of reasons. If so, the conclusion in Kiesewetter’s argument doesn’t follow. I also discuss further implications of my objections to PRR for a specific family of ‘ought’ implies ‘can’ principles and ability constraints on reasons, and the consequences that these could have for a number of contemporary debates in normative philosophy. (shrink)

The overall objective of this dissertation is to provide an analysis of the standard of correctness of belief. According to this standard, a belief is correct if and only if the believed proposition is true. My analysis consists in the investigation of a set of aspects and properties of the correctness standard of belief. The main point argued in this dissertation is that the correctness standard of belief is a standard of conformity to the satisfaction conditions of a representational function (...) constitutive of belief. Another relevant conclusionreached in my dissertation concerns the appropriate formulation of the standard in an ought-claim. I argued that the proper way of formulating the standard in an ought-claim is: "for any S, p: it ought to be the case that p, given that S believes that p". (shrink)

While buck-passing accounts are widely discussed in the literature, there have been surprisingly few attempts to apply buck-passing analyses to specific normative domains such as aesthetics and epistemology. In particular, there have been very few works which have tried to provide complete and detailed buck-passing analyses of epistemic values and norms. These analyses are, however, both interesting and important. On the one hand, they can bring to the surface the advantages and difficulties of extending the buck-passing account to specific normative (...) spheres, either providing further support for the approach or highlighting substantive difficulties. On the other hand, epistemic buck-passing analyses can be beneficial for normative epistemology, providing new perspectives on traditional epistemological problems, and possibly providing fresh approaches to such problems. This paper aims at partially filling this gap. (shrink)

Some philosophers have recently argued that whether a true belief amounts to knowledge in a specific circumstance depends on features of the subject’s practical situation that are unrelated to the truth of the subject’s belief, such as the costs for the subject of being wrong about whether the believed proposition is true. One of the best-known arguments used to support this view is that it best explains a number of paradigmatic cases, such as the well-known Bank Case, in which a (...) difference in knowledge occurs in subjects differing exclusively with respect to their practical situation. I suggest an alternative explanation of such cases. My explanation has a disjunctive character: on the one hand, it accounts for cases in which the subject is aware of the costs of being wrong in a given situation in terms of the influence of psychological factors on her mechanisms of belief-formation and revision. On the other hand, it accounts for cases in which the subject is ignorant of the costs of being wrong in her situation by imposing a new condition on knowledge. This condition is that one knows that p only if one does not underestimate the importance of being right about whether p. I argue that my explanation has a number of advantages over other invariantist explanations: it accounts for all the relevant cases preserving the semantic significance of our ordinary intuitions, it is compatible with an intellectualist account of knowledge and it escapes several problems affecting competing views. (shrink)

This paper focuses on the relation between epistemic reasons and the subject’s epistemic perspective. It tackles the questions of whether epistemic reasons are dependent on the perspective of the subject they are reasons for, and if so, whether they are dependent on the actual or the potential perspective. It is argued that epistemic reasons are either independent or minimally dependent on the subject’s epistemic perspective. In particular, I provide three arguments supporting the conclusion that epistemic reasons are not dependent on (...) the subject’s actual perspective. Furthermore, I show that variants of these arguments apply against popular views holding that epistemic reasons depend on the subject’s potential perspective, such as the view that epistemic reasons are facts that one is in a position to know. (shrink)

The Knowability Paradox is a logical argument to the effect that, if there are truths not actually known, then there are unknowable truths. Recently, Alexander Paseau and Bernard Linsky have independently suggested a possible way to counter this argument by typing knowledge. In this article, we argue against their proposal that if one abstracts from other possible independent considerations supporting reasons for typing knowledge and considers the motivation for a type-theoretic approach with respect to the Knowability Paradox alone, there is (...) no substantive philosophical motivation to type knowledge, except that of solving the paradox. Every attempt to independently justify the typing of knowledge is doomed to failure. (shrink)

Dispositionalist accounts of belief define beliefs in terms of specific sets of dispositions. In this article, I provide a blind-spot argument against these accounts. The core idea of the argument is that beliefs having the form [p and it is not manifestly believed that p] cannot be manifestly believed. This means that one cannot manifest such beliefs in one’s assertions, conscious thoughts, actions, behaviours, or any other type of activity. However, if beliefs are sets of dispositions, they must be manifestable (...) in some way. Therefore, according to my argument, beliefs are not sets of dispositions. The argument is defended against some possible objections. (shrink)

Some philosophers have argued that a standard of correctness is constitutive of the concept or the essence of belief. By this claim they mean, roughly, that a mental state is a belief partially in virtue of being correct if and only if its content is true. In this paper I provide a new argument in support of the constitutivity of the correctness standard for belief. I first argue that the standard expresses a conceptual necessity. Then I argue that, since conceptual (...) necessities are such in virtue of some concept, the standard must also be necessary in virtue of some concept. Finally, I provide an argument by exclusion to the effect that the standard is necessary in virtue of the concept of belief. (shrink)

The Knowability Paradox is a logical argument that, starting from the plainly innocent assumption that every true proposition is knowable, reaches the strong conclusion that every true proposition is known; i.e. if there are unknown truths, there are unknowable truths. The paradox has been considered a problem for every theory assuming the Knowability Principle, according to which all truths are knowable and, in particular, for semantic anti-realist theories. A well known criticism to the Knowability Paradox is the so called restriction (...) strategy. It bounds the scope of the universal quantification in (KP) to a set of formulas whose logical form avoids the paradoxical conclusion. Specifically, Tennant suggests to restrict the quantifier in (KP) to propositions whose knowledge is provably inconsistent. He calls them Anti-Cartesian propositions and distinguished them in three kinds. In this paper we will not be concerned with the soundness of the restriction proposal and the criticisms it has received. Rather, we are interested in analyzing the proposed distinction. We argue that Tennant’s distinction is problematic because it is not completely clear, it is not grounded on an adequate logical analysis, and it is incomplete. We suggest an alternative distinction, and we give some reasons for accepting it: it results logically grounded and more complete than Tennant’s one, inclusive of it and independent from non-epistemic notions. (shrink)

In "The Limits of Science" N. Rescher introduces a logical argument known as the Knowability Paradox, according to which, if every true proposition is knowable, then every true proposition is known, i.e. if there are unknown truths, there are unknowable truths. Rescher argues that the Knowability Paradox, giving evidence to a limit of our knowledge (the existence of unknowable truths) could be used for arguing against perfected science. In this article we present two criticisms against Rescher's argument.

Nicholas Rescher, in The Limits of Science (1984), argued that: «perfected science is a mirage; complete knowledge a chimera» . He reached the above conclusion from a logical argument known as Fitch’s Paradox of Knowability. The argument, starting from the assumption that every truth is knowable, proves that every truth is also actually known and, given that some true propositions are not actually known, it concludes, by modus tollens, that there are unknowable truths. Prima facie, this argument seems to seriously (...) narrow our epistemic possibilities and to constitute a limit for knowledge (included scientific knowledge). Rescher’s above quoted conclusion follows the same sort of reasoning. Recently, Bernard Linsky exploited a possible way to block the argument employing a type-distinction of knowledge. If the Knowability paradox is blocked, then Rescher’s conclusion cannot be drawn. After an introduction to the paradox, we suggest, in our paper, a possible way of justifying a type-solution for it in the scientific field. A noteworthy point is that the effectiveness of this solution depends on the degree of reductionism adopted in science: the given solution is available only if we do not adopt a complete reductionism in science so that there is just one kind of scientific knowledge and, consequently, of scientific justification. Otherwise Rescher's argument still works. (shrink)

A logical argument known as Fitch’s Paradox of Knowability, starting from the assumption that every truth is knowable, leads to the consequence that every truth is also actually known. Then, given the ordinary fact that some true propositions are not actually known, it concludes, by modus tollens, that there are unknowable truths. The main literature on the topic has been focusing on the threat the argument poses to the so called semantic anti-realist theories, which aim to epistemically characterize the notion (...) of truth; according to those theories, every true proposition must be knowable. But the paradox seems to be a problem also for epistemology and philosophy of science: the conclusion of the paradox – the claim that there are unknowable truths – seems to seriously narrow our epistemic possibilities and to constitute a limit for knowledge. This fact contrasts with certain views in philosophy of science according to which every scientific truth is in principle knowable and, at least at an ideal level, a perfected, “all-embracing”, omniscient science is possible. The main strategies proposed in order to avoid the paradoxical conclusion, given their effectiveness, are able to address only semantic problems, not epistemological ones. However, recently Bernard Linsky (2008) proposed a solution to the paradox that seems to be effective also for the epistemological problems. In particular, he suggested a possible way to block the argument employing a type-distinction of knowledge. In the present paper, firstly, we introduce the paradox and the threat it represents for a certain views in epistemology and philosophy of science; secondly, we show Linsky’s solution; thirdly, we argue that this solution, in order to be effective, needs a certain kind of justification, and we suggest a way of justifying it in the scientific field; fourthly, we show that the effectiveness of our proposal depends on the degree of reductionism adopted in science: it is available only if we do not adopt a complete reductionism. (shrink)

This discussion article replies to a challenge for potential perspectivism raised by Davide Fassio in this journal. Potential Perspectivism holds that what one ought to do depends on facts that are potentially accessible. Fassio argues against potential perspectivism based on cases of conjunction agglomeration failure of facts that are potentially accessible. I offer a refined account of potential perspectivism that handles cases of conjunction agglomeration failure by spelling out the notion of a potential perspective in terms of (...) sets. This account of potential perspectivism comes to plausible verdicts about what one ought to do in a wide range of cases. (shrink)

In this book, which thoroughly revises and greatly expands his classic work Sameness and Substance, David Wiggins retrieves and refurbishes in the light of twentieth-century logic and logical theory certain conceptions of identity, of substance and of persistence through change that philosophy inherits from its past. In this new version, he vindicates the absoluteness, necessity, determinateness and all or nothing character of identity against rival conceptions. He defends a form of essentialism that he calls individuative essentialism, and then a form (...) of realism that he calls conceptualist realism. In a final chapter he advocates a human being-based conception of the identity and individuation of persons, arguing that any satisfactory account of personal memory must make reference to the life of the rememberer himself. This important book will appeal to a wide range of readers in metaphysics, philosophical logic, and analytic philosophy. (shrink)

Lipsey and Lancaster's "general theory of second best" is widely thought to have significant implications for applied theorizing about the institutions and policies that most effectively implement abstract normative principles. It is also widely thought to have little significance for theorizing about which abstract normative principles we ought to implement. Contrary to this conventional wisdom, I show how the second-best theorem can be extended to myriad domains beyond applied normative theorizing, and in particular to more abstract theorizing about the normative (...) principles we should aim to implement. I start by separating the mathematical model used to prove the second-best theorem from its familiar economic interpretation. I then develop an alternative normative-theoretic interpretation of the model, which yields a novel second best theorem for idealistic normative theory. My method for developing this interpretation provides a template for developing additional interpretations that can extend the reach of the second-best theorem beyond normative theoretical domains. I also show how, within any domain, the implications of the second-best theorem are more specific than is typically thought. I conclude with some brief remarks on the value of mathematical models for conceptual exploration. (shrink)

Why study notations, diagrams, or more broadly the variety of nonverbal “representations” or “signs” that are used in mathematical practice? This chapter maps out recent work on the topic by distinguishing three main philosophical motivations for doing so. First, some work (like that on diagrammatic reasoning) studies signs to recover norms of informal or historical mathematical practices that would get lost if the particular signs that these practices rely on were translated away; work in this vein has the potential to (...) broaden our view of the specific normativity of mathematics beyond logical proof. Second, some work focuses on signs to highlight the open-ended and “nonrigorous” aspects of mathematical practice, and the role of these aspects in the historical development of mathematics. The third motivation is based on the following observation: the reason differences in signs matter in mathematics is that humans are finite agents, with cognitive and computational limitations. Accordingly, studying signs can be a way to study how human computational constraints shape the mathematics that we do, and to tackle the topic of mathematical understanding. (shrink)

Artificial intelligence has historically been conceptualized in anthropomorphic terms. Some algorithms deploy biomimetic designs in a deliberate attempt to effect a sort of digital isomorphism of the human brain. Others leverage more general learning strategies that happen to coincide with popular theories of cognitive science and social epistemology. In this paper, I challenge the anthropomorphic credentials of the neural network algorithm, whose similarities to human cognition I argue are vastly overstated and narrowly construed. I submit that three alternative supervised learning (...) methods—namely lasso penalties, bagging, and boosting—offer subtler, more interesting analogies to human reasoning as both an individual and a social phenomenon. Despite the temptation to fall back on anthropomorphic tropes when discussing AI, however, I conclude that such rhetoric is at best misleading and at worst downright dangerous. The impulse to humanize algorithms is an obstacle to properly conceptualizing the ethical challenges posed by emerging technologies. (shrink)

A collection of 14 essays honoring the life and work of Oxford philosopher Wiggins touching on topics from ancient philosophy to ethics, metaphysics and the theory of meaning. The contributing scholars debate many of the seminal issues of Wiggins' work, including the determinancy of distinctness, relative identity, naturalism in ethics, logic and truth in moral judgments, and the practical wisdom of Aristotle. The collection uniquely features replies by Wiggins to each of the papers. Annotation copyright by Book News, Inc., Portland, (...) OR. (shrink)

According to dispositionalism about modality, a proposition <p> is possible just in case something has, or some things have, a power or disposition for its truth; and <p> is necessary just in case nothing has a power for its falsity. But are there enough powers to go around? In Yates (2015) I argued that in the case of mathematical truths such as <2+2=4>, nothing has the power to bring about their falsity or their truth, which means they come out both (...) necessary and not possible. Combining this with axiom (T), it is easy to derive a contradiction. I suggested that dispositionalists ought to retreat a little and say that <p> is possible just in case either p, or there is a power to bring it about that p, grounding the possibility of mathematical propositions in their truth rather than in powers. Vetter’s (2015) has the resources to provide a response to my argument, and in her (2018) she explicitly addresses it by arguing for a plenitude of powers, based on the idea that dispositions come in degrees, with necessary properties a limiting case of dispositionality. On this view there is a power for <2+2=4>, without there being a power to bring about its truth. In this paper I argue that Vetter’s case for plenitude does not work. However, I suggest, if we are prepared to accept metaphysical causation, a case can be made that there is indeed a power for <2+2=4>. (shrink)

We propose a formal framework for interpretable machine learning. Combining elements from statistical learning, causal interventionism, and decision theory, we design an idealised explanation game in which players collaborate to find the best explanation for a given algorithmic prediction. Through an iterative procedure of questions and answers, the players establish a three-dimensional Pareto frontier that describes the optimal trade-offs between explanatory accuracy, simplicity, and relevance. Multiple rounds are played at different levels of abstraction, allowing the players to explore overlapping causal (...) patterns of variable granularity and scope. We characterise the conditions under which such a game is almost surely guaranteed to converge on a optimal explanation surface in polynomial time, and highlight obstacles that will tend to prevent the players from advancing beyond certain explanatory thresholds. The game serves a descriptive and a normative function, establishing a conceptual space in which to analyse and compare existing proposals, as well as design new and improved solutions. (shrink)

Extant theoretical work on the political resource curse implies that dependence on resource revenues should decrease autocracies’ likelihood of democratizing but not necessarily affect democracies’ chances of survival. Yet most previous empirical studies estimate models that are ill-suited to address this claim. We improve upon earlier studies, estimating a dynamic logit model that interacts a continuous measure of resource dependence with an indicator of regime type using data from 166 countries, covering the period from 1816-2006. We find that an increase (...) in resource dependence at time t - 1 increases the likelihood of autocratic persistence at t, but has no appreciable effect on democratic survival. We go beyond existing empirical studies to show that increases in resource dependence have persistent and substantial cumulative effects on autocracies' likelihood of becoming democratic over the long-term, showing that the total effect of resource dependence on regime type is much larger than the short-term (one period) effect indicates. (shrink)

Japan and the Enemies of Open Political Science argues that Eurocentric blindness is a scientific failing, not a moral one. In a way true of no other political system, Japan's greatness has the potential to enliven and reform almost all the main branches of Western Political Science. David Williams criticizes Western social science, Anglo-American Philosophy and French Theory and explains why mainstream economists, historians of political thought and postculturalists have ignored Japan's modern achievements. Williams demonstrates why the renewal of social (...) science and the nurturing of a "a philosophy of the Pacific Century" requires a sustained act of intellectual demolition. (shrink)

This is an in-depth study of J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to “ordinary” Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an “ursprüngliche” or original geometry – that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that (...) are grasped through geometrical or intelligible intuition. -/- Accordingly, this study classifies Fichte’s philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or “mathesis of the mind.” -/- “This work testifies to the author's exact and extensive knowledge of the Fichtean texts, as well as of the philosophical, scientific and historical contexts. Wood has opened up completely new paths for Fichte research, and examines with clarity and precision a domain that up to now has hardly been researched.” Professor Dr. Marco Ivaldo -/- “This study, written in a language distinguished by its limpidity and precision, and constantly supported by a close reading of the Fichtean texts and secondary literature, furnishes highly detailed and convincing demonstrations. In directly confronting the difficult historical relationship between the Wissenschaftslehre and mathematics, the author has broken new ground that is at once stimulating, decidedly innovative, and elegantly audacious.” Professor Dr. Emmanuel Cattin. (shrink)