Multialgebras have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization of logics by swap structures are given. Specifically, (...) a formal study of swap structures for LFIs is developed, by adapting concepts of universal algebra to multialgebras in a suitable way. A decomposition theorem similar to Birkhoff’s representation theorem is obtained for each class of swap structures. Moreover, when applied to the 3-valued algebraizable logics J3 and Ciore, their classes of algebraic models are retrieved, and the swap structures semantics become twist structures semantics. This fact, together with the existence of a functor from the category of Boolean algebras to the category of swap structures for each LFI, suggests that swap structures can be seen as non-deterministic twist structures. This opens new avenues for dealing with non-algebraizable logics by the more general methodology of multialgebraic semantics. (shrink)

The logics of formal inconsistency (LFIs, for short) are paraconsistent logics (that is, logics containing contradictory but non-trivial theories) having a consistency connective which allows to recover the ex falso quodlibet principle in a controlled way. The aim of this paper is considering a novel semantical approach to first-order LFIs based on Tarskian structures defined over swap structures, a special class of multialgebras. The proposed semantical framework generalizes previous aproaches to quantified LFIs presented in the literature. The case of QmbC, (...) the simpler quantified LFI expanding classical logic, will be analyzed in detail. An axiomatic extension of QmbC called QLFI1o is also studied, which is equivalent to the quantified version of da Costa and D'Ottaviano 3-valued logic J3. The semantical structures for this logic turn out to be Tarkian structures based on twist structures. The expansion of QmbC and QLFI1o with a standard equality predicate is also considered. (shrink)

In 2001, W. Carnielli and Marcos considered a 3-valued logic in order to prove that the schema ϕ ∨ (ϕ → ψ) is not a theorem of da Costa’s logic Cω. In 2006, this logic was studied (and baptized) as G'3 by Osorio et al. as a tool to define semantics of logic programming. It is known that the truth-tables of G'3 have the same expressive power than the one of Łukasiewicz 3-valued logic as well as the one of Gödel (...) 3-valued logic G3. From this, the three logics coincide up-to language, taking into acccount that 1 is the only designated truth-value in these logics. -/- From the algebraic point of view, Canals-Frau and Figallo have studied the 3-valued modal implicative semilattices, where the modal operator is the well-known Moisil-Monteiro-Baaz Δ operator, and the supremum is definable from this. We prove that the subvariety obtained from this by adding a bottom element 0 is term-equivalent to the variety generated by the 3-valued algebra of G'3. The algebras of that variety are called G'3-algebras. From this result, we obtain the equations which axiomatize the variety of G'3-algebras. Moreover, we prove that this variety is semisimple, and the 3-element and the 2-element chains are the unique simple algebras of the variety. Finally an extension of G'3 to first-order languages is presented, with an algebraic semantics based on complete G'3-algebras. The corresponding soundness and completeness theorems are obtained. (shrink)

In this paper I respond to Marcello Di Bello’s criticisms of the ‘normic account’ of the criminal standard of proof. In so doing, I further elaborate on what the normic account predicts about certain significant legal categories of evidence, including DNA and fingerprint evidence and eyewitness identifications.

In this paper, I list various kinds of ‘plurality’ in philosophical investigations. By plurality, I mean a plurality of methodological criteria which we apply to philosophical phenomena and which are very often incompatible with each other. Any philosophical phenomenon can be approached from different methodological viewpoints and result in utterly different ontological and ideological commitments. In other words, I assume that one philosophical problem can have different solutions which depend on different methodological and theoretical presuppositions. Instead of considering this feature (...) of philosophical theories as a problem, I take this plurality as a natural meta-philosophical result. As an example, I consider impossible phenomena and ways of treating them systematically. (shrink)

Fragmentalism was first introduced by Kit Fine in his ‘Tense and Reality’. According to fragmentalism, reality is an inherently perspectival place that exhibits a fragmented structure. The current paper defends the fragmentalist interpretation of the special theory of relativity, which Fine briefly considers in his paper. The fragmentalist interpretation makes room for genuine facts regarding absolute simultaneity, duration and length. One might worry that positing such variant properties is a turn for the worse in terms of theoretical virtues because such (...) properties are not involved in physical explanations and hence theoretically redundant. It will be argued that this is not right: if variant properties are indeed instantiated, they will also be involved in straightforward physical explanations and hence not explanatorily redundant. Hofweber and Lange, in their ‘Fine’s Fragmentalist Interpretation of Special Relativity’, object that the fragmentalist interpretation is in tension with the right explanation of the Lorentz transformations. It will be argued that their objection targets an inessential aspect of the fragmentalist framework and fails to raise any serious problem for the fragmentalist interpretation of special relativity. (shrink)

This article focuses on two developments in nineteenth-century (philosophy of) social science: Moritz Lazarus’s and Heymann Steinthal’s Völkerpsychologie and Georg Simmel’s early sociology of knowledge. The article defends the following theses. First, Lazarus and Steinthal wavered between a “strong” and a “weak” program for Völkerpsychologie. Ingredients for the strong program included methodological neutrality and symmetry; causal explanation of beliefs based on causal laws; a focus on groups, interests, tradition, culture, or materiality; determinism; and a self-referential model of social institutions. Second, (...) elements of the weak program were the blurring of explanatory and normative interests, an emphasis on freedom of the will, and antirelativism and antimaterialism. Third, later research projects keeping the label “Völkerpsychologie” followed the weak program. Fourth, in the 1880s and 1890s, Simmel tried to build on some of the elements of the strong program. Finally, and fifth, part of the explanation for why Simmel did not succeed in his attempt had to do with the social-political situation of German academia around 1900. (shrink)

Philosophers have observed that metaphysical necessity appears to be a true or real or genuine form of necessity while epistemic necessity does not. Similarly, natural necessity appears genuine while deontic necessity does not. But what is it for a form of necessity to be genuine? I defend an account of genuine necessity in explanatory terms. The genuine forms of necessity, I argue, are those that provide what I call necessitarianexplanation. I discuss the relationship of necessitarian explanation to ground.

I develop a puzzle, the resolution of which, I argue, requires an unfamiliar distinction between two forms or senses of metaphysical modality, each bearing a different relationship to time. In one sense of ‘metaphysically possible’, it is metaphysically possible for it to be a time other than the time it is now; in another sense, this is not metaphysically possible.

Bayesian models of legal arguments generally aim to produce a single integrated model, combining each of the legal arguments under consideration. This combined approach implicitly assumes that variables and their relationships can be represented without any contradiction or misalignment, and in a way that makes sense with respect to the competing argument narratives. This paper describes a novel approach to compare and ‘average’ Bayesian models of legal arguments that have been built independently and with no attempt to make them consistent (...) in terms of variables, causal assumptions or parameterization. The approach involves assessing whether competing models of legal arguments are explained or predict facts uncovered before or during the trial process. Those models that are more heavily disconfirmed by the facts are given lower weight, as model plausibility measures, in the Bayesian model comparison and averaging framework adopted. In this way a plurality of arguments is allowed yet a single judgement based on all arguments is possible and rational. (shrink)

Rémi Brague es un pensador francés reconocido por sus estudios de filosofía antigua y medieval. También ha analizado diversos aspectos de la antropología filosófica y cultural de nuestro tiempo, en un contexto amplio del estudio de la historia de las ideas. En la actualidad es profesor emérito de Filosofía Medieval en la Universidad de la Sorbona de París y de Historia del Cristianismo Europeo en la Ludwig-Maximilians-Universität München en Alemania donde ocupó la cátedra Romano Guardini. Es miembro del Instituto de (...) Francia desde 2009. (shrink)

This essay is dedicated to the memory of Katherine Hawley.1Bitcoin was invented to serve as a digital currency that demands no trust in financial institutions, such as commercial and central banks. This paper discusses metaphysical aspects of bitcoin, in particular the view that bitcoin is socially constructed, non-concrete, and genuinely exists. If bitcoin is socially constructed, then one may worry that this reintroduces trust in the communities responsible for the social construction. Although we may have to rely on certain communities, (...) I argue that social construction doesn’t imply a demand for trust because the relevant communities don’t take on any relevant commitments. Bitcoin is indeed trust-free. (shrink)

According to the principle of Conjunction Closure, if one has justification for believing each of a set of propositions, one has justification for believing their conjunction. The lottery and preface paradoxes can both be seen as posing challenges for Closure, but leave open familiar strategies for preserving the principle. While this is all relatively well-trodden ground, a new Closure-challenging paradox has recently emerged, in two somewhat different forms, due to Backes :3773–3787, 2019a) and Praolini :715–726, 2019). This paradox synthesises elements (...) of the lottery and the preface and is designed to close off the familiar Closure-preserving strategies. By appealing to a normic theory of justification, I will defend Closure in the face of this new paradox. Along the way I will draw more general conclusions about justification, normalcy and defeat, which bear upon what Backes :2877–2895, 2019b) has dubbed the ‘easy defeat’ problem for the normic theory. (shrink)

There is something puzzling about statistical evidence. One place this manifests is in the law, where courts are reluctant to base affirmative verdicts on evidence that is purely statistical, in spite of the fact that it is perfectly capable of meeting the standards of proof enshrined in legal doctrine. After surveying some proposed explanations for this, I shall outline a new approach – one that makes use of a notion of normalcy that is distinct from the idea of statistical frequency. (...) The puzzle is not, however, merely a legal one. Our unwillingness to base beliefs on statistical evidence is by no means limited to the courtroom, and is at odds with almost every general principle that epistemologists have proposed as to how we ought to manage our beliefs. (shrink)

This book explores a question central to philosophy--namely, what does it take for a belief to be justified or rational? According to a widespread view, whether one has justification for believing a proposition is determined by how probable that proposition is, given one's evidence. In this book this view is rejected and replaced with another: in order for one to have justification for believing a proposition, one's evidence must normically support it--roughly, one's evidence must make the falsity of that proposition (...) abnormal in the sense of calling for special, independent explanation. This conception of justification bears upon a range of topics in epistemology and beyond. Ultimately, this way of looking at justification guides us to a new, unfamiliar picture of how we should respond to our evidence and manage our own fallibility. This picture is developed here. (shrink)

According to modal realism formulated by David Lewis, there exist concrete possible worlds. As he argues the hypothesis is serviceable and that is a sufficient reason to think it is true. On the other side, Lewis does not consider the pragmatic reasons to be conclusive. He admits that the theoretical benefits of modal realism can be illusory or that the acceptance of controversial ontology for the sake of theoretical benefits might be misguided in the first place. In the first part (...) of the paper, I consider the worry and conclude that although the worry is justified, there can be an epistemological justification for his theory. Next, I outline the so-called indispensability argument for the legitimacy of mathematical Platonism. Finally, I argue that the argument, if accepted, can be applied to metaphysics in general, to the arguing for the existence of concrete (im)possibilia in particular. (shrink)

The paper outlines and immediately discusses the so-called ‘soft’ impossibility, i.e., non-logical impossibility generated by modal realism. It will be shown that although in a particular case genuine modal realism, straightforwardly applied, deems impossible a proposition that other philosophers have claimed to be (intuitively) possible, there is a variety of methodologically acceptable moves available in order to avoid the problem. The impossibility at issue is the existence of island universes. Given the Lewisian analysis there are three points at which we (...) might try to square genuine modal realism with such a controversial and problematic claim of (im)possibility, namely: a) the contraction of our pre-theoretical opinions about possibility, b) the revision of some Lewisian definitions and/or c) the extension of our ontological commitments. I shall look at each of these approaches applied to the problematic case. (shrink)

This paper studies Lamarck's scientific method both from the point of view of his methodological discourse and according to his scientific praxis. Lamarck's methodology is compared to Condillac's as well as to that of the idéologues - a group in which Lamarck is usually included. The analysis of this paper shows that Lamarck's methodological discourse is very similar to Condillac's, but his scientific praxis does not follow this view. Instead of following an empiricist approach, Lamarck's work is grounded upon general (...) metaphysical principles concerning nature. Thus, from the ideologues's point of view, Lamarck's work should have been rejected -and that is what really happened - as being a mere metaphysical system grupo no qual se costuma incluir o próprio Lamarck. Mostra-se que o discurso metodológico de Lamarck assemelha-se ao dos ideólogos; no entanto, sua prática científica não se coaduna com esse enfoque. Em vez de seguir uma abordagem empirista, a obra de Lamarck se fundamenta em princípios metafísicos gerais sobre a natureza. Sob o ponto de vista dos ideólogos, seu trabalho deveria ser rejeitado - o que de fato ocorreu - como um mero sistema metafísico - no sentido pejorativo utilizado pelos seguidores de Condillac. No entanto, o presente artigo argumenta que esse é justamente um importante e inovador aspecto da obra de Lamarck, que permitiu a eclosão do evolucionismo moderno. (shrink)

The purpose of this article is to show that animal rights are not necessarily at odds with the use of animals for research. If animals hold basic moral rights similar to those of humans, then we should consequently extend the ethical requirements guiding research with humans to research with animals. The article spells out how this can be done in practice by applying the seven requirements for ethical research with humans proposed by Ezekiel Emanuel, David Wendler and Christine Grady to (...) animal research. These requirements are i) social value, ii) scientific validity, iii) independent review, iv) fair subject selection, v) favorable risk-benefit ratio, vi) informed consent, and vii) respect for research subjects. In practice, this means that we must reform the practice of animal research to make it more similar to research with humans, rather than completely abolish the former. Indeed, if we banned animal research altogether, then we would also deprive animals of its potential benefits – which would be ethically problematic. (shrink)

En este pequeño texto, resumo brevemente tres experimentos psicológicos que Peter Carruthers (2010) cita como evidencia para la tesis según la cual no tenemos un acceso introspectivo y exclusivo de la primera persona a nuestras actitudes proposicionales, sino sólo uno interpretativo. Si Carruthers tiene razón, sólo conocemos nuestras creencias, intenciones y otras actitudes a través de un proceso inconsciente de interpretación de nuestro propio comportamiento y, por ende, de la misma manera en que conocemos las mentes de otras personas. Esta (...) exposición tiene el propósito de mostrar la utilidad y necesidad de acercarse al problema del autoconocimiento desde una perspectiva interdisciplinaria. (shrink)

Las teorías lockeanas de la identidad personal afirman que una persona persiste en el tiempo si su conciencia persiste y los criterios para la persistencia de su conciencia son principalmente psicológicos. Una posible motivación para tal teoría es la idea de que “la identidad de una persona no debería ser distinta de lo que la persona misma considera que es”(Rovane 1990, 360). ¿Pero es posible que la propia identidad dependa de lo que uno mismo piensa que es? En este trabajo (...) se investigan tres posibles maneras de interpretar esta afirmación: la identidad temporal de una persona podría depender 1)del conocimiento que ella tiene de su propia identidad, 2) de alguna creencia que tiene sobre su identidad o 3) de lo que ella ha decidido sobre su identidad. Se argumenta que 1) es incoherente, 2) no es plausible y 3) incompatible con la lógica de nuestro concepto de identidad. Como alternativa se esboza una teoría animalista de la identidad temporal de las personas. (shrink)

Extended simples are fruitfully discussed in metaphysics. They are entities which are located in a complex region of space but do not themselves have parts. In this paper, I will discuss unextended complexes: entities which are not located at a complex region of space but do themselves have parts. In particular, I focus on one type of unextended complex: pointy complexes. Four areas are indicated where pointy complexes might prove philosophically useful. Unextended complexes are therefore philosophically fruitful, in much the (...) same way as extended simples. (shrink)

Reinholds Kritik an Kants Ausführungen über Willkürfreiheit aus der Einleitung zur "Metaphysik der Sitten". Zur Aktualität dieser Kritik.

There is a concern about the effectiveness of petitionary prayer. If I pray for something good, wouldn’t God give it to me anyway? And if I pray for something bad, won’t God refrain from giving it to me even though I’ve asked? This problem has received significant attention. The typical solutions suggest that the prayer itself can alter whether something is good or bad. I will argue that this is insufficient to fully address the problem, but also that the problem (...) requires another assumption which can be doubted, thereby opening up a new way to solve the problem. (shrink)

Is it right to convict a person of a crime on the basis of purely statistical evidence? Many who have considered this question agree that it is not, posing a direct challenge to legal probabilism – the claim that the criminal standard of proof should be understood in terms of a high probability threshold. Some defenders of legal probabilism have, however, held their ground: Schoeman (1987) argues that there are no clear epistemic or moral problems with convictions based on purely (...) statistical evidence, and speculates that our aversion to such convictions may be nothing more than an irrational bias. More recently, Hedden and Colyvan (2019, section VI) describe our reluctance to convict on the basis of purely statistical evidence as an ‘intuition’, but suggest that there may be no ‘in principle’ problem with such convictions (see also Papineau, forthcoming, section 6). In this paper, I argue that there is, in some cases, an in principle problem with a conviction based upon statistical evidence alone – namely, it commits us to a precedent which, if consistently followed through, could lead to the deliberate conviction of an innocent person. I conclude with some reflections on the idea that the criminal justice system should strive to maximise the accuracy of its verdicts – and the related idea that we should each strive to maximise the accuracy of our beliefs. (shrink)

This paper has two aims. The first is critical: it argues that our mainstream epistemology of disagreement does not have the resources to explain what goes wrong in cases of group-level epistemic injustice. The second is positive: we argue that a functionalist account of group belief and group justification delivers (1) an account of the epistemic peerhood relation between groups that accommodates minority and oppressed groups, and (2), furthermore, diagnoses the epistemic injustice cases correctly as cases of unwarranted belief on (...) the part of the oppressor group. (shrink)


Someone who believes “I believe it will rain” can easily be mistaken about the rain. But it does not seem likely, and might even be impossible, that he is wrong about the fact that he believes that it is going to rain. How can we account for this authority about our own beliefs – the phenomenon known as first person authority? In this paper I examine a type of theory proposed, in distinct forms, by Crispin Wright and Jane Heal for (...) an explanation of our authority. Both authors claim that our second-order beliefs (of the form “I believe that p”) are constitutive of the first-order beliefs that are self-ascribed in them (beliefs of the form “p”) and both try to derive the necessity of first person authority from this constitutive relation. My paper analyses and criticizes the two proposals and suggests a non-constitutive, alternative account of first person authority. (shrink)

If people believe that some property is true of all members of a class such as sofas, then they should also believe that the same property is true of all members of a conjunctively defined subset of that class such as uncomfortable handmade sofas. A series of experiments demonstrated a failure to observe this constraint, leading to what is termed the inverse conjunction fallacy. Not only did people often express a belief in the more general statement but not in the (...) more specific, but also when they accepted both beliefs, they were inclined to give greater confidence to the more general. It is argued that this effect underlies a number of other demonstrations of fallacious reasoning, particularly in category-based induction. Alternative accounts of the phenomenon are evaluated, and it is concluded that the effect is best interpreted in terms of intensional reasoning [Tversky, A., & Kahneman, D.. Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment. Psychological Review, 90, 293-315.]. (shrink)

In this paper I investigate whether there are any cases in which it is rational for a person to hold inconsistent beliefs and, if there are, just what implications this might have for the theory of epistemic justification. A number of issues will crop up along the way – including the relation between justification and rationality, the nature of defeat, the possibility of epistemic dilemmas, the importance of positive epistemic duties, and the distinction between transitional and terminal attitudes.

Recent years have seen an explosion of interest in metaphysical explanation, and philosophers have fixed on the notion of ground as the conceptual tool with which such explanation should be investigated. I will argue that this focus on ground is myopic and that some metaphysical explanations that involve the essences of things cannot be understood in terms of ground. Such ‘essentialist’ explanation is of interest, not only for its ubiquity in philosophy, but for its being in a sense an ultimate (...) form of explanation. I give an account of the sense in which such explanation is ultimate and support it by defending what I call the inessentiality of essence. I close by suggesting that this principle is the key to understanding why essentialist explanations can seem so satisfying. (shrink)

In this paper, I identify a theoretical and political role for ‘white ignorance’, present three alternative accounts of white ignorance, and assess how well each fulfils this role. On the Willful Ignorance View, white ignorance refers to white individuals’ willful ignorance about racial injustice. On the Cognitivist View, white ignorance refers to ignorance resulting from social practices that distribute faulty cognitive resources. On the Structuralist View, white ignorance refers to ignorance that (1) results as part of a social process that (...) systematically gives rise to racial injustice, and (2) is an active player in the process. I argue that, because of its greater power and flexibility, the Structuralist View better explains the patterns of ignorance that we observe, better illuminates the connection to white racial domination, and is overall better suited to the project of ameliorating racial injustice. As such, the Structuralist View should be preferred. (shrink)

According to a captivating picture, epistemic justification is essentially a matter of epistemic or evidential likelihood. While certain problems for this view are well known, it is motivated by a very natural thought—if justification can fall short of epistemic certainty, then what else could it possibly be? In this paper I shall develop an alternative way of thinking about epistemic justification. On this conception, the difference between justification and likelihood turns out to be akin to the more widely recognised difference (...) between ceteris paribus laws and brute statistical generalisations. I go on to discuss, in light of this suggestion, issues such as classical and lottery-driven scepticism as well as the lottery and preface paradoxes. (shrink)

In a number of papers and in his recent book, Is Water H₂O? Evidence, Realism, Pluralism (2012), Hasok Chang has argued that the correct interpretation of the Chemical Revolution provides a strong case for the view that progress in science is served by maintaining several incommensurable “systems of practice” in the same discipline, and concerning the same region of nature. This paper is a critical discussion of Chang's reading of the Chemical Revolution. It seeks to establish, first, that Chang's assessment (...) of Lavoisier's and Priestley's work and character follows the phlogistonists' “actors' sociology”; second, that Chang simplifies late-eighteenth-century chemical debates by reducing them to an alleged conflict between two systems of practice; third, that Chang's evidence for a slow transition from phlogistonist theory to oxygen theory is not strong; and fourth, that he is wrong to assume that chemists at the time did not have overwhelming good reasons to favour Lavoisier's over the phlogistonists' views. (shrink)

There is a type of metaphysical picture that surfaces in a range of philosophical discussions, is of intrinsic interest, and yet remains ill-understood. According to this picture, the world contains a range of standpoints relative to which different facts obtain. Any true representation of the world cannot but adopt a particular standpoint. The aim of this paper is to propose a regimentation of a metaphysics that underwrites this picture. Key components are a factive notion of metaphysical relativity, a deflationary notion (...) of adopting standpoints, and two kinds of valid inference, one that allows one to abandon standpoints and one that does not. To better understand how theories formulated in terms of this framework are situated in dialectical space, I sketch a theory in the philosophy of time that admits both temporal and atemporal standpoints. (shrink)

I survey the philosophical literature on grounding explanation and its connection to metaphysical ground.

The starting point of this paper is the thought that the phenomenal appearances that accompany mental states are somehow only there, or only real, from the standpoint of the subject of those mental states. The world differs across subjects in terms of which appearances obtain. Not only are subjects standpoints across which the world varies, subjects are standpoints that we can ‘adopt’ in our own theorizing about the world (or stand back from). The picture that is suggested by these claims (...) has an appeal but is at the same time obscure and stands in need of regimentation. This paper explores and motivates a metaphysical account of what it is for subjects to be standpoints, what it is to adopt standpoints in our representations and, most importantly, how these notions might help us better understand the subjective character of conscious mental states. Some well-known observations by Thomas Nagel serve as starting points and the paper concludes by revisiting Nagel’s argument for the inevitable incompleteness of objective accounts of mental states, which will be reframed in terms of the central commitments of the proposed framework. (shrink)

One of the most intriguing claims in Sven Rosenkranz’s Justification as Ignorance is that Timothy Williamson’s celebrated anti-luminosity argument can be resisted when it comes to the condition ~K~KP—the condition that one is in no position to know that one is in no position to know P. In this paper, I critically assess this claim.

In 1990 Edward Craig published a book called Knowledge and the State of Nature in which he introduced and defended a genealogical approach to epistemology. In recent years Craig’s book has attracted a lot of attention, and his distinctive approach has been put to a wide range of uses including anti-realist metaepistemology, contextualism, relativism, anti-luck virtue epistemology, epistemic injustice, value of knowledge, pragmatism and virtue epistemology. While the number of objections to Craig’s approach has accumulated, there has been no sustained (...) attempt to develop answers to these objections. In this paper we provide answers to seven important objections in the literature. (shrink)

Metaphysical rationalism, the doctrine which affirms the Principle of Sufficient Reason (the PSR), is out of favor today. The best argument against it is that it appears to lead to necessitarianism, the claim that all truths are necessarily true. Whatever the intuitive appeal of the PSR, the intuitive appeal of the claim that things could have been otherwise is greater. This problem did not go unnoticed by the great metaphysical rationalists Spinoza and Leibniz. Spinoza’s response was to embrace necessitarianism. Leibniz’s (...) response was to argue that, despite appearances, rationalism does not lead to necessitarianism. This paper examines the debate between these two rationalists and concludes that Leibniz has persuasive grounds for his opinion. This has significant implications both for the plausibility of the PSR and for our understanding of modality. (shrink)

Philosophers of logic are particularly interested in understanding the aims, epistemology, and methodology of logic. This raises the question of how the philosophy of logic should go about these enquires. According to the practice-based approach, the most reliable method we have to investigate the methodology and epistemology of a research field is by considering in detail the activities of its practitioners. This holds just as true for logic as it does for the recognised empirical and abstract sciences. If we wish (...) to systematically understand the aims and epistemology of logic, we are best placed achieving this by looking at what logicians do, rather than reflecting upon the nature of logic itself. In this entry, we outline the motivations for a practice-based approach towards the philosophy of logic and highlight its advantages over more “top-down” approaches, which attempt to infer conclusions about the nature of logic and its methodology on the basis of traditional assumptions about knowledge, metaphysics, or logic itself. We end by addressing several prominent concerns raised against the practice-based approach. (shrink)

Some random processes, like a series of coin flips, can produce outcomes that seem particularly remarkable or striking. This paper explores an epistemic puzzle that arises when thinking about these outcomes and asking what, if anything, we can justifiably believe about them. The puzzle has no obvious solution, and any theory of epistemic justification will need to contend with it sooner or later. The puzzle proves especially useful for bringing out the differences between three prominent theories; the probabilist theory, the (...) normic theory and a theory recently defended by Goodman and Salow. (shrink)

A de minimis risk is defined as a risk that is so small that it may be legitimately ignored when making a decision. While ignoring small risks is common in our day-to-day decision making, attempts to introduce the notion of a de minimis risk into the framework of decision theory have run up against a series of well-known difficulties. In this paper, I will develop an enriched decision theoretic framework that is capable of overcoming two major obstacles to the modelling (...) of de minimis risk. The key move is to introduce, into decision theory, a non-probabilistic conception of risk known as normic risk. (shrink)

In this paper I will compare two competing accounts of assertion: the knowledge account and the justified belief account. When it comes to the evidence that is typically used to assess accounts of assertion – including the evidence from lottery propositions, the evidence from Moore’s paradoxical propositions and the evidence from conversational patterns – I will argue that the justified belief account has at least as much explanatory power as its rival. I will argue, finally, that a close look at (...) the ways in which assertions can be challenged and retracted reveals a certain advantage for the justified belief account. The paper will touch upon a number of further topics along the way, including the logical interaction between knowledge and justified belief, the nature of defeat, and the hypothesis that knowledge and justified belief are normatively coincident goals. (shrink)

In this paper I defend the claim that justification is closed under conjunction, and confront its most alarming consequence — that one can have justification for believing propositions that are unlikely to be true, given one's evidence.

We make choices about our own appearance and evaluate others' choices – every day. These choices are meaningful for us as individuals and as members of communities. But many features of personal appearance are due to luck, and many cultural beauty standards make some groups and individuals worse off (this is called “lookism”). So, how are we to square these two facets of personal appearance? And how are we to evaluate agency in the context of personal beauty? I identify three (...) ways of responding to these questions: beauty advo- cacy, beauty skepticism, and beauty revisionism. Advocates connect an honorific sense of beauty with personal charac- ter. Skeptics focus on beauty standards, and primarily offer a social critique of beauty standards. Some skeptics suggest embracing other aesthetic ideals – even ugliness. Revision- ists critique beauty standards, but retain an honorific sense of beauty. Each position offers tools to evaluate personal agency as aesthetic agency, whether first-personally or through our appreciation of others' appearance. (shrink)

In this paper I draw attention to a peculiar epistemic feature exhibited by certain deductively valid inferences. Certain deductively valid inferences are unable to enhance the reliability of one's belief that the conclusion is true—in a sense that will be fully explained. As I shall show, this feature is demonstrably present in certain philosophically significant inferences—such as GE Moore's notorious 'proof' of the existence of the external world. I suggest that this peculiar epistemic feature might be correlated with the much (...) discussed phenomenon that Crispin Wright and Martin Davies have called 'transmission failure'—the apparent failure, on the part of some deductively valid inferences to transmit one's justification for believing the premises. (shrink)

What happens when mindless symbols of algorithmic AI encounter mindful performative rituals? I return to my criticisms of Habermas’ secularising reading of Kierkegaard’s ethics. Next, I lay out Habermas’ claim that the sacred complex of ritual and myth contains the ur-origins of postmetaphysical thinking and reflective faith. If reflective faith shares with ritual same origins as does communicative interaction, how do we access these archaic ritual sources of human solidarity in the age of AI?