Laws form counterfactually stable sets -- Natural necessity -- Three payoffs of my account -- A world of subjunctives.

Certain scientific explanations of physical facts have recently been characterized as distinctively mathematical –that is, as mathematical in a different way from ordinary explanations that employ mathematics. This article identifies what it is that makes some scientific explanations distinctively mathematical and how such explanations work. These explanations are non-causal, but this does not mean that they fail to cite the explanandum’s causes, that they abstract away from detailed causal histories, or that they cite no natural laws. Rather, in these explanations, (...) the facts doing the explaining are modally stronger than ordinary causal laws or are understood in the why question’s context to be constitutive of the physical arrangement at issue. A distinctively mathematical explanation works by showing the explanandum to be more necessary than ordinary causal laws could render it. Distinctively mathematical explanations thus supply a kind of understanding that causal explanations cannot. 1 Introduction2 Some Distinctively Mathematical Scientific Explanations3 Are Distinctively Mathematical Explanations Set Apart by their Failure to Cite Causes? 4 Distinctively Mathematical Explanations do not Exploit Causal Powers5 How these Distinctively Mathematical Explanations Work6 Conclusion. (shrink)

Partiality is the special concern that we display for ourselves and other people with whom we stand in some special personal relationship. It is a central theme in moral philosophy, both ancient and modern. Questions about the justification of partiality arise in the context of enquiry into several moral topics, including the good life and the role in it of our personal commitments; the demands of impartial morality, equality, and other moral ideals; and commonsense ideas about supererogation. This paper provides (...) an overview of the debate on the ethics of partiality through the lens of the domains of permissible and required partiality. After outlining the conceptual space, I first discuss agent-centred moral options that concern permissions not to do what would be impartially optimal. I then focus on required partiality, which concerns associative duties that go beyond our general duties to others and require us to give special priority to people who are close to us. I discuss some notable features of associative duties and the two main objections that have been raised against them: the Voluntarist and the Distributive objections. I then turn to the justification of partiality, focusing on underivative approaches and reasons-based frameworks. I discuss the reductionism and non-reductionism debate: the question whether partiality is derivative or fundamental. I survey arguments for ‘the big three’, according to which partiality is justified by appeal to the special value of either projects, personal relationships, or individuals. I conclude by discussing four newly emerging areas in the debate: normative transitions of various personal relationships, relationships with AI, epistemic partiality, and negative partiality, which concerns the negative analogue of our positive personal relationships. (shrink)

It has often been argued that Humean accounts of natural law cannot account for the role played by laws in scientific explanations. Loewer (Philosophical Studies 2012) has offered a new reply to this argument on behalf of Humean accounts—a reply that distinguishes between grounding (which Loewer portrays as underwriting a kind of metaphysical explanation) and scientific explanation. I will argue that Loewer’s reply fails because it cannot accommodate the relation between metaphysical and scientific explanation. This relation also resolves a puzzle (...) about scientific explanation that Hempel and Oppenheim (Philosophy of Science 15:135–75, 1948) encountered. (shrink)

Ceteris-paribus clauses are nothing to worry about; aceteris-paribus qualifier is not poisonously indeterminate in meaning. Ceteris-paribus laws teach us that a law need not be associated straightforwardly with a regularity in the manner demanded by regularity analyses of law and analyses of laws as relations among universals. This lesson enables us to understand the sense in which the laws of nature would have been no different under various counterfactual suppositions — a feature even of those laws that involve no ceteris-paribus (...) qualification and are actually associated with exceptionless regularities. Ceteris-paribus generalizations of an‘inexact science’ qualify as laws of that science in virtue of their distinctive relation to counterfactuals: they form a set that is stable for the purposes of that field. (Though an accident may possess tremendous resilience under counterfactual suppositions, the laws are sharply distinguished from the accidents in that the laws are collectively as resilient as they could logically possibly be.) The stability of an inexact science's laws may involve their remaining reliable even under certain counterfactual suppositions violating fundamental laws of physics. The ceteris-paribus laws of an inexact science may thus possess a kind of necessity lacking in the fundamental laws of physics. A nomological explanation supplied by an inexact science would then be irreducible to an explanation of the same phenomenon at the level of fundamental physics. Island biogeography is used to illustrate how a special science could be autonomous in this manner. (shrink)

Hempel and Giere contend that the existence of provisos poses grave difficulties for any regularity account of physical law. However, Hempel and Giere rely upon a mistaken conception of the way in which statements acquire their content. By correcting this mistake, I remove the problem Hempel and Giere identify but reveal a different problem that provisos pose for a regularity account — indeed, for any account of physical law according to which the state of affairs described by a law-statement presupposes (...) a Humean regularity. These considerations suggest a normative analysis of law-statements. On this view, law-statements are not distinguished from accidental generalizations by the kind of Humean regularities they describe because a law-statement need not describe any Humean regularity. Rather, a law-statement says that in certain contexts, one ought to regard the assertion of a given type of claim, if made with justification, as a proper way to justify a claim of a certain other kind. (shrink)

Many philosophers endorse the Transparency Thesis, the claim that by introspection one cannot become aware of one's experience. Recently, some authors have suggested that the Transparency Thesis is challenged by introspective states reached under mindfulness. We label this the Mindfulness Opacity Hypothesis. The present paper develops the hypothesis in important new ways. First, we motivate the hypothesis by drawing on recent clinical psychology and cognitive science of mindfulness. Secondly, we develop the hypothesis by describing the implied shift in experiential perspective, (...) the scope of introspectable qualities, and the level of skill. Thirdly, we defend the hypothesis against various philosophical arguments. We conclude that the Mindfulness Opacity Hypothesis is empirically and theoretically well motivated and supported. (shrink)

This paper explores whether there is any relation between mathematical proofs that specify the grounds of the theorem being proved and mathematical proofs that explain why the theorem obtains. The paper argues that a mathematical fact’s grounds do not, simply by virtue of grounding it, thereby explain why that fact obtains. It argues that oftentimes, a proof specifying a mathematical fact’s grounds fails to explain why that fact obtains whereas any explanation of the fact does not specify its ground. The (...) paper offers several examples from mathematical practice to illustrate these points. These examples suggest several reasons why explaining and grounding tend to come apart, including that explanatory proofs need not exhibit purity, tend not to be brute force, and often unify separate cases by identifying common reasons behind them even when those cases have distinct grounds. The paper sketches an account of what makes a proof explanatory and uses that account to defend the morals drawn from the examples already given. (shrink)

Many philosophers have believed that the laws of nature differ from the accidental truths in their invariance under counterfactual perturbations. Roughly speaking, the laws would still have held had q been the case, for any q that is consistent with the laws. (Trivially, no accident would still have held under every such counterfactual supposition.) The main problem with this slogan (even if it is true) is that it uses the laws themselves to delimit qs range. I present a means of (...) distinguishing the laws (and their logical consequences) from the accidents, in terms of their range of invariance under counterfactual antecedents, that does not appeal to physical modalities (or any cognate notion) in delimiting the relevant range of counterfactual perturbations. I then argue that this approach explicates the sense in which the laws possess a kind of necessity. (shrink)

Explanation in mathematics has recently attracted increased attention from philosophers. The central issue is taken to be how to distinguish between two types of mathematical proofs: those that explain why what they prove is true and those that merely prove theorems without explaining why they are true. This way of framing the issue neglects the possibility of mathematical explanations that are not proofs at all. This paper addresses what it would take for a non-proof to explain. The paper focuses on (...) a particular example of an explanatory non-proof: an argument that mathematicians regard as explaining why a given theorem holds regarding the derivative of an infinite sum of differentiable functions. The paper contrasts this explanatory non-proof with various non-explanatory proofs of the same theorem. The paper offers an account of what makes the given non-proof explanatory. This account is motivated by investigating the difficulties that arise when we try to extend Mark Steiner’s influential account of explanatory proofs to cover this explanatory non-proof. (shrink)

This paper proposes an account of why proof is the only way to acquire knowledge of some mathematical proposition’s truth. Admittedly, non-deductive arguments for mathematical propositions can be strong and play important roles in mathematics. But this paper proposes a necessary condition for knowledge that can be satisfied by putative proofs (and proof sketches), as well as by non-deductive arguments in science, but not by non-deductive arguments from mathematical evidence. The necessary condition concerns whether we can justly expect that if (...) the mathematical proposition is actually false, despite the evidence for its truth, then this fact has an explanation. (shrink)

I argue that you can be permitted to discount the interests of your adversaries even though doing so would be impartially suboptimal. This means that, in addition to the kinds of moral options that the literature traditionally recognises, there exist what I call other-sacrificing options. I explore the idea that you cannot discount the interests of your adversaries as much as you can favour the interests of your intimates; if this is correct, then there is an asymmetry between negative partiality (...) toward your adversaries and positive partiality toward your intimates. (shrink)

I identify the special sort of stability (invariance, resilience, etc.) that distinguishes laws from accidental truths. Although an accident can have a certain invariance under counterfactual suppositions, there is no continuum between laws and accidents here; a law's invariance is different in kind, not in degree, from an accident's. (In particular, a law's range of invariance is not "broader"--at least in the most straightforward sense.) The stability distinctive of the laws is used to explicate what it would mean for there (...) to be multiple grades (or degrees) of physical necessity. Whether there are is for science to discover. (shrink)

Several philosophers have suggested that some scientific explanations work not by virtue of describing aspects of the world’s causal history and relations, but rather by citing mathematical facts. This paper investigates what mathematical facts could be in order for them to figure in such “distinctively mathematical” scientific explanations. For “distinctively mathematical explanations” to be explanations by constraint, mathematical language cannot operate in science as representationalism or platonism describes. It can operate as Aristotelian realism describes. That is because Aristotelian realism enables (...) mathematics to apply to the physical world without a morphism’s mediation. (shrink)

I here settle a recent dispute between two rival theories in distributive ethics: Restricted Prioritarianism and the Competing Claims View. Both views mandate that the distribution of benefits and burdens between individuals should be justifiable to each affected party in a way that depends on the strength of each individual’s separately assessed claim to receive a benefit. However, they disagree about what elements constitute the strength of those individuals’ claims. According to restricted prioritarianism, the strength of a claim is determined (...) in ‘prioritarian’ fashion by both what she stands to gain and her absolute level of well-being, while, according to the competing claims view, the strength of a claim is also partly determined by her level of well-being relative to others with conflicting interests. I argue that, suitably modified, the competing claims view is more plausible than restricted prioritarianism. (shrink)

Recently, biologists and computer scientists who advocate the "strong thesis of artificial life" have argued that the distinction between life and nonlife is important and that certain computer software entities could be alive in the same sense as biological entities. These arguments have been challenged by Sober (1991). I address some of the questions about the rational reconstruction of biology that are suggested by these arguments: What is the relation between life and the "signs of life"? What work (if any) (...) might the concept of "life" (over and above the "signs of life") perform in biology? What turns on scientific disputes over the utility of this concept? To defend my answers to these questions, I compare "life" to certain other concepts used in science, and I examine historical episodes in which an entity's vitality was invoked to explain certain phenomena. I try to understand how these explanations could be illuminating even though they are not accompanied by any reductive definition of "life.". (shrink)

has offered a lovely example to motivate the intuition that a successful prediction has a kind of confirmatory significance that an accommodation lacks. This paper scrutinizes Maher's example. It argues that once the example is tweaked, the intuitive difference there between prediction and accommodation disappears. This suggests that the apparent superiority of prediction to accommodation is actually a side effect of an important difference between the hypotheses that tend to arise in each case.

With the rise and public accessibility of AI-enabled decision-support systems, individuals outsource increasingly more of their decisions, even those that carry ethical dimensions. Considering this trend, scholars have highlighted that uncritical deference to these systems would be problematic and consequently called for investigations of the impact of pertinent technology on humans’ ethical decision-making. To this end, this article conducts a systematic review of existing scholarship and derives an integrated framework that demonstrates how intelligent decision-support systems (IDSSs) shape humans’ ethical decision-making. (...) In particular, we identify resulting consequences on an individual level (i.e., deliberation enhancement, motivation enhancement, autonomy enhancement and action enhancement) and on a societal level (i.e., moral deskilling, restricted moral progress and moral responsibility gaps). We carve out two distinct methods/operation types (i.e., processoriented and outcome-oriented navigation) that decision-support systems can deploy and postulate that these determine to what extent the previously stated consequences materialize. Overall, this study holds important theoretical and practical implications by establishing clarity in the conceptions, underlying mechanisms and (directions of) influences that can be expected when using particular IDSSs for ethical decisions. (shrink)

Philosophy of Science: An Anthology assembles some of the finest papers in the philosophy of science since 1945, showcasing enduring classics alongside important and innovative recent work. Introductions by the editor highlight connections between selections, and contextualize the articles Nine sections address topics at the heart of philosophy of science, including realism and the character of scientific theories, scientific explanations and laws of nature, singular casusation, and the metaphysical implications of modern physics Provides an authoritative and accessible overview of the (...) field. (shrink)

Why do relationships of friendship and love support partiality, but not relationships of hatred or commitments of racism? Where does partiality end and why? I take the intuitive starting point that important cases of partiality are meaningful. I develop a view whereby meaning is understood in terms of transcending self-limitations in order to connect with things of external value. I then show how this view can be used to distinguish central cases of legitimate partiality from cases of illegitimate partiality and (...) how it puts pressure on the traditional way of thinking about partiality. (shrink)

Existing discussions of partiality have primarily examined special personal relationships between family, friends, or co-nationals. The negative analogue of such relationships – for example, the relationship of enmity – has, by contrast, been largely neglected. This chapter explores this adverse relation in more detail and considers the special reasons generated by it. We suggest that enmity can involve justified negative partiality, allowing members to give less consideration to each other’s interests. We then consider whether the negative partiality of enmity can (...) be justified through projects or the value inherent in the relationship, following two influential views about the justification of positive partiality. We argue that both accounts of partiality can be conceptually extended to the negative analogue, but doing so brings into focus the problems with such accounts of the grounds of partiality. (shrink)

Precise measurements of well-being would be of profound societal importance. Yet, the sceptical worry that we cannot use social science instruments and tests to measure well-being is widely discussed by philosophers and scientists. A recent and interesting philosophical argument has pointed to the psychometric procedures of construct validation to address this sceptical worry. The argument has proposed that these procedures could warrant confidence in our ability to measure well-being. The present paper evaluates whether this type of argument succeeds. The answer (...) is that it depends on which methodological background assumptions are motivating the sceptical worry to begin with. We show this by doing two things. First, we clarify (a) the different types of well-being theories involved in the science of well-being, and (b) the general methodological dimensions of well-being theorising. Second, we apply these distinctions and argue that construct validation is an unsuccessful response to measurement scepticism if this scepticism is motivated by a form of methodological non-naturalism. In the light of this, the overall point of the paper is that philosophers and scientists, when discussing measurement of well-being, should explicate their deeper methodological commitments. We further suggest that making such explicit commitments might present philosophers with a dilemma. (shrink)

For theologians, to conceive of God in terms of light has some undeniable advantages, allowing a middle-of-the road position between the two extremes of thinking about God in terms of a purely disembodied, unfathomable, unsensible being, and of crediting Him with a body, possibly even a human body. This paper first reviews the reasons why God, in early medieval Islam, was never fully theorized in terms of light. It then proceeds to discuss light-related narratives in two major, late-medieval compilations of (...) hadiths about the afterlife, by al-Suyuti and al-Majlisi, suggesting that eschatology was the area in which God’s light continued to shine in Islam, and the backdoor through which a theology of light, in the thought of al-Suhrawardi and his followers, made a triumphant re-entry into Islamic thought. (shrink)

Glymour, Scheines, Spirtes, and Kelly argue for ‘Spearman's Principle’: one should (ceteris paribus) favour the theory whose ‘free parameters’ need assume no particular values for the theory to save the ‘constraints’ holding of the phenomena. I argue that the rationale they give for Spearman's Principle fails, but that (contra Cartwright) Spearman's Principle cannot be made to favour either of two theories depending on how they are expressed. I examine how one must motivate the demand for a scientific explanation of a (...) parameter's value and how one justifies believing that a constraint should be explained independent of any parameter's particular value. (shrink)

We argue that if there are laws of nature, then there must also be accidents. If the “laws” in a world suffice to determine the world’s entire history, then these “laws” cannot play various central roles characteristic of laws, and thus (we conclude) they are not laws at all. Many proposed accounts of lawhood (primitivist accounts, universals accounts, the Best System Account, the Package Deal Account, essentialist accounts) inappropriately permit worlds with laws but no accidents. We identify two otherwise dissimilar (...) accounts that correctly (on our view) deem such worlds impossible; one is Humean and the other is non-Humean. (shrink)

"If event E had occurred, someone would know of documentary evidence for E; someone does not know of documentary evidence for E; therefore, E did not occur." The conditional in this model of arguments from silence is probabalistic if its consequent is not deducible from the antecedent, relevant conditions, and laws. In interesting cases arguments from silence are rarely rationally, and never logically, conclusive. Specific instances of the argument must be evaluated individually, their persuasiveness depending mainly on the likelihood of (...) documents being available in a given type of case. (shrink)

We argue for asymmetries between positive and negative partiality. Specifically, we defend four claims: i) there are forms of negative partiality that do not have positive counterparts; ii) the directionality of personal relationships has distinct effects on positive and negative partiality; iii) the extent of the interactions within a relationship affects positive and negative partiality differently; and iv) positive and negative partiality have different scope restrictions. We argue that these asymmetries point to a more fundamental moral principle, which we call (...) Morality’s Harmonious Propensity. According to this principle, morality has a propensity toward preserving positive relationships and dissolving negative ones. (shrink)

Sober and Huemer have independently argued that simplicity has no place in evaluating philosophical views. In particular, they have argued that the best rationales for scientists to appeal to simplicity in judging between rival theories fail to carry over to philosophers judging between rival philosophical accounts. This paper disagrees with Sober and Huemer. It argues that two rationales for scientific appeals to simplicity equally well underwrite appeals to simplicity when philosophers evaluate rival rational reconstructions of some social normative practice. These (...) two rationales are shown to apply to two philosophical appeals to simplicity: in Quine’s argument against analyticity and in an argument against pluralism in accounts of scientific explanation. Some factors are identified that influence how much weight simplicity should carry in these and other philosophical cases. Simplicity’s legitimate role in evaluating rival rational reconstructions suggests that simplicity will also turn out to be justly relevant to ontological investigations. (shrink)

AfterTranscritique: On Kant and Marx, Karatani Kōjin’s new bookThe Structure of World Historypresents another engagement with Marxian theory from a ‘heterodox’ standpoint. In this book, rather than viewingThe Structure of World Historyfrom the aspect of mode of production in the conventional ‘Marxist’ sense, Karatani shifts perspective to the modes of exchange. To this end, Karatani appropriates what he sees as Marx’s emphasis on ‘exchange’. In the present essay, by looking at the textual evidence, I critically evaluate whether this appropriation of (...) Marx’s theory is justified. I furthermore contend that Karatani’s reading of the concepts of value, money, capital, and surplus-value from the standpoint of ‘exchange’ arises from a grave misconstrual of Marx’s critical intent. Accordingly, Karatani neglects the critique of exploitation and the systematic production of poverty that informs the basic assumptions of Marx’s analysis of the capitalist mode of production. (shrink)

I am grateful to James Cordeiro, Timothy Murphy, Heloise Robinson and Teresa Baron for their perceptive and stimulating comments on my article in this journal. In what follows, I seek to respond to some of the main points raised in each commentary.

Solipsism is an extreme position. Ludwig Wittgenstein addressed this position several times over more than 20 years. Wittgenstein first became familiar with solipsism under the title of “theoretical egoism” when reading Schopenhauer at the tender age of 16. Elizabeth Anscombe related a personal conversation in which Wittgenstein said that Schopenhauer's theory of the world “as idea” struck him as fundamentally right, if in need of a few clarifications and adjustments, but that he opposed the theory of the world as will. (...) Wittgenstein's first philosophy was that of Schopenhauer and he was only liberated from it by Frege's conceptual realism. According to Schopenhauer, an “organic” philosophy needs an organic exposition. An organic philosophy stands in contrast to systematic philosophy, which argues sequentially “in the form of a chain” of propositions starting from one fundamental principle. Wittgenstein's overarching aim in the Tractatus is to delimit sense by expounding the limits for the expression of thoughts in language. (shrink)

This chapter contains section titled: Is Biology Like Physics? Laws of Nature: The Standard Picture Why Not Laws of Biology? The Problem of Exceptions Why Not Laws of Biology? The Problem of Accidentalness A Worked Example: The “Area Law” Evolutionary Accidents as Laws of Functional Biology References Further Reading.

A long lasting debate in the field of implicit learning is whether participants can learn without acquiring conscious knowledge. One crucial problem is that no clear criterion exists allowing to identify participants who possess explicit knowledge. Here, we propose a method to diagnose during a serial reaction time task those participants who acquire conscious knowledge. We first validated this method by using Stroop-like material during training. Then we assessed participants’ knowledge with the Inclusion/Exclusion task and the wagering task . Both (...) experiments confirmed that for participants diagnosed as having acquired conscious knowledge about the underlying sequence the Stroop congruency effect disappeared, whereas for participants not diagnosed as possessing conscious knowledge it only slightly decreased. In addition, both experiments revealed that only participants diagnosed as conscious were able to strategically use their acquired knowledge. Thus, our method allows to reliably distinguish between participants with and without conscious knowledge. (shrink)

Does smoke cause fire or does fire cause smoke? James Woodward’s “Flagpoles anyone? Causal and explanatory asymmetries” argues that various statistical independence relations not only help us to uncover the directions of causal and explanatory relations in our world, but also are the worldly basis of causal and explanatory directions. We raise questions about Woodward’s envisioned epistemology, but our primary focus is on his metaphysics. We argue that any alleged connection between statistical (in)dependence and causal/explanatory direction is contingent, at best. (...) The directions of causal/explanatory relations in our world seem not to depend on the statistical (in)dependence relations in our world (conceived of either as frequency patterns or as relations among chances). Thus, we doubt that statistical (in)dependence relations are the worldly basis of causal and explanatory directions. (shrink)

The pattern of recourse to late medieval church courts suggests how late medieval Christians imagined their Church. Their choice of defendants, crimes, and punishments allowed them to define their communities. In the case of excommunication for debt, the use of procedural excommunications announced from the choir screen after the bidding prayers permitted the exclusion of debtors from the sacramental and economic community. Indeed, failure to pay one’s debts was as uncharitable as usury because the two communities were imperfectly distinguished – (...) until c. 1500. (shrink)

This Open Access book offers a synthetic reflection on the authors’ fieldwork experiences in seven countries within the framework of ‘Authoritarianism in a Global Age’, a major comparative research project. It responds to the demand for increased attention to methodological rigor and transparency in qualitative research, and seeks to advance and practically support field research in authoritarian contexts. Without reducing the conundrums of authoritarian field research to a simple how-to guide, the book systematically reflects and reports on the authors’ combined (...) experiences in getting access to the field, assessing risk, navigating ‘red lines’, building relations with local collaborators and respondents, handling the psychological pressures on field researchers, and balancing transparency and prudence in publishing research. It offers unique insights into this particularly challenging area of field research, makes explicit how the authors handled methodological challenges and ethical dilemmas, and offers recommendations where appropriate. This book is open access under a CC BY 4.0 license. (shrink)

Musical ensemble performances provide an ideal environment to gain knowledge about complex human interactions. Network structures of synchronization can reflect specific roles of individual performers on the one hand and a higher level of organization of all performers as a superordinate system on the other. This study builds on research on joint singing, using hyperscanning of respiration and heart rate variability from eight professional singers. Singers performed polyphonic music, distributing their breathing within the same voice and singing without and with (...) physical contact: that is touching each other's shoulder or waist. The idea of singing with touch was motivated by historical depictions of ensemble performances that showed singers touching each other. It raises the question of the potential benefit of touch for group performances. From a psycho-physiological point of view, physical contact should increase the synchronization of singing coordination. The results confirm previous findings on synchronization of respiration and HRV during choir singing and extend those findings to a non-homophonic musical repertoire while also revealing an increase in synchronization in respiration during physical contact. These effects were significant across different frequency ranges. The effect of physical contact was stronger when all singers were singing in comparison to the partial ensemble. Importantly, the synchronization could not be fully explained by the singing action or by the standing position or touch. This finding suggests a higher level of organization of all singers, forming a superordinate system. (shrink)