Responsible Research and Innovation (RRI) reflects an innovation paradigm that acknowledges that market innovations do not automatically deliver on socially desirable objectives, and requires a broad governance of knowledge coalitions of governmental bodies as well as industrial and societal actors to address market deficits. Responsible Innovation should be understood as a new paradigm for innovation which requires institutional changes in the research and innovation system and the public governance of the economy. It also requires the institutionalisation of an ethics of (...) co-responsibility as well as the introduction of new standards and certification processes for products. Dr. Dr. phil. von Schomberg will introduce Responsible Innovation against the background of 6 deficits of the (global) research and innovation system. (shrink)

The paper has two complementary objectives. First, it sustains an analysis of the concept of ‘coloniality’ that accounts for the epistemic imbalance in the modern world, demonstrating precisely how Africa is adversely affected, having been caught up in the throes of coloniality and its epistemic implications. Second – and complementarily – the paper attempts to bring this very concept of ‘coloniality’ into the discourse on Africa’s emigration crisis, arguing that Africa’s emigration crisis is traceable, inter alia, to the epistemic imbalance (...) in the very structure of modernity. This imbalance results from the stifling of Africa’s epistemic resources under Western epistemic hegemony. Epistemic coloniality, of course interacting with some material factors, creates a sufficient condition for emigration. It is further theorized that the apparent lack of epistemic will on the part of Africans to mobilize some surviving epistemic resources to address some problems on their own is also a function of coloniality. (shrink)

ABSTRACT: The 3rd BCE Stoic logician "Chrysippus says that the number of conjunctions constructible from ten propositions exceeds one million. Hipparchus refuted this, demonstrating that the affirmative encompasses 103,049 conjunctions and the negative 310,952." After laying dormant for over 2000 years, the numbers in this Plutarch passage were recently identified as the 10th (and a derivative of the 11th) Schröder number, and F. Acerbi showed how the 2nd BCE astronomer Hipparchus could have calculated them. What remained unexplained is why Hipparchus’ (...) logic differed from Stoic logic, and consequently, whether Hipparchus actually refuted Chrysippus. This paper closes these explanatory gaps. (1) I reconstruct Hipparchus’ notions of conjunction and negation, and show how they differ from Stoic logic. (2) Based on evidence from Stoic logic, I reconstruct Chrysippus’ calculations, thereby (a) showing that Chrysippus’ claim of over a million conjunctions was correct; and (b) shedding new light on Stoic logic and – possibly – on 3rd century BCE combinatorics. (3) Using evidence about the developments in logic from the 3rd to the 2nd centuries, including the amalgamation of Peripatetic and Stoic theories, I explain why Hipparchus, in his calculations, used the logical notions he did, and why he may have thought they were Stoic. OPEN ACCESS LINK. (shrink)

The central argument of this article is that there is a remarkable conceptual parallel between Hegel’s famous notion of the “cunning of Reason” and the philosophically profound concept of Chi in Igbo metaphysics. By way of establishing this parallel, the article advances the following subsidiary but complementary points: Chi is also “cunning” in its dynamics; both principles (i.e. Chi and Reason/Spirit) are non-deterministic because they try to maintain a dialectic balance between destiny and individual responsibility; both possess divine attributes; and (...) community serves as an invaluable medium of operation for both. The scholarly significance of the article lies in its attempt not only to systematise the Igbo thought on Chi by eliminating the vestiges of discredited “ethno-philosophy”, but also to open up a constructive dialogue between Hegel and elements of African philosophy, using Igbo metaphysics as a placeholder. This is against the backdrop of certain discontents generated by Hegel’s famous uncomplimentary and racist remarks on Africa. Seen in this light, the article may well be an exercise in “rapprochement”. (shrink)

In this extended essay, I argue that Frege plagiarized the Stoics --and I mean exactly that-- on a large scale in his work on the philosophy of logic and language as written mainly between 1890 and his death in 1925 (much of which published posthumously) and possibly earlier. I use ‘plagiarize' (or 'plagiarise’) merely as a descriptive term. The essay is not concerned with finger pointing or casting moral judgement. The point is rather to demonstrate carefully by means of detailed (...) evidence that there are numerous (over a hundred) and extensive parallels both in formulation and --more importantly-- in content between the Stoics and Frege, parallels so plentiful that one would be hard pressed to brush them off as coincidence. These parallels include several that appear to occur in no other modern works that were published before Frege’s own and were accessible to him. Additionally, a cluster of corroborating historical data is adduced to support the suggestion, showing how easy it would have to been for Frege to plagiarize the Stoics. This (first) part of the essay is easy to read and vaguely entertaining, or so I hope. -/- (Corrigendum: At school, Frege likely had seven, not ten, years of intensive Latin and four years of intensive ancient Greek courses.). (shrink)

Aristotle holds that individual substances are ontologically independent from nonsubstances and universal substances but that non-substances and universal substances are ontologically dependent on substances. There is then an asymmetry between individual substances and other kinds of beings with respect to ontological dependence. Under what could plausibly be called the standard interpretation, the ontological independence ascribed to individual substances and denied of non-substances and universal substances is a capacity for independent existence. There is, however, a tension between this interpretation and the (...) asymmetry between individual substances and the other kinds of entities with respect to ontological independence. I will propose an alternative interpretation: to weaken the relevant notion of ontological independence from a capacity for independent existence to the independent possession of a certain ontological status. (shrink)

When Aristotle introduces the perfect moods, he refers back to the dictum de omni et nullo, a semantic condition for universal affirmations and negations. There recently has been renewed interest in the question whether the dictum validates the assertoric syllogistic. I rehearse evidence that Aristotle provides a mereological semantics for universal affirmations and negations, and note that this semantics entails a nonstandard reading of the dictum, under which the dictum, in the presence of a minimal logical apparatus, indeed validates the (...) assertoric syllogistic. I argue that this mereological validation offers advantages over recent discussions in Morison, Malink, Ebert and Vlasits. (shrink)

Discussion of the Aristotelian syllogistic over the last sixty years has arguably centered on the question whether syllogisms are inferences or implications. But the significance of this debate at times has been taken to concern whether the syllogistic is a logic or a theory, and how it ought to be represented by modern systems. Largely missing from this discussion has been a study of the few passages in the Prior Analytics where Aristotle provides explicit guidance on how to individuate syllogisms. (...) I argue that syllogisms are individuated by unordered premise pairs and so may be fruitfully thought of as multi-succedent sequents. I conclude by drawing a few consequences for the representation of the syllogistic. (shrink)

We argue that the extant evidence for Stoic logic provides all the elements required for a variable-free theory of multiple generality, including a number of remarkably modern features that straddle logic and semantics, such as the understanding of one- and two-place predicates as functions, the canonical formulation of universals as quantified conditionals, a straightforward relation between elements of propositional and first-order logic, and the roles of anaphora and rigid order in the regimented sentences that express multiply general propositions. We consider (...) and reinterpret some ancient texts that have been neglected in the context of Stoic universal and existential propositions and offer new explanations of some puzzling features in Stoic logic. Our results confirm that Stoic logic surpasses Aristotle’s with regard to multiple generality, and are a reminder that focusing on multiple generality through the lens of Frege-inspired variable-binding quantifier theory may hamper our understanding and appreciation of pre-Fregean theories of multiple generality. (shrink)

Although artificial intelligence has been given an unprecedented amount of attention in both the public and academic domains in the last few years, its convergence with other transformative technologies like cloud computing, robotics, and augmented/virtual reality is predicted to exacerbate its impacts on society. The adoption and integration of these technologies within industry and manufacturing spaces is a fundamental part of what is called Industry 4.0, or the Fourth Industrial Revolution. The impacts of this paradigm shift on the human operators (...) who continue to work alongside and symbiotically with these technologies in the industry bring with it novel ethical issues. Therefore, how to design these technologies for human values becomes the critical area of intervention. This paper takes up the case study of robotic AI-based assistance systems to explore the potential value implications that emerge due to current design practices and use. The design methodology known as Value Sensitive Design (VSD) is proposed as a sufficient starting point for designing these technologies for human values to address these issues. (shrink)

This paper contends that Stoic logic (i.e. Stoic analysis) deserves more attention from contemporary logicians. It sets out how, compared with contemporary propositional calculi, Stoic analysis is closest to methods of backward proof search for Gentzen-inspired substructural sequent logics, as they have been developed in logic programming and structural proof theory, and produces its proof search calculus in tree form. It shows how multiple similarities to Gentzen sequent systems combine with intriguing dissimilarities that may enrich contemporary discussion. Much of Stoic (...) logic appears surprisingly modern: a recursively formulated syntax with some truth-functional propositional operators; analogues to cut rules, axiom schemata and Gentzen’s negation-introduction rules; an implicit variable-sharing principle and deliberate rejection of Thinning and avoidance of paradoxes of implication. These latter features mark the system out as a relevance logic, where the absence of duals for its left and right introduction rules puts it in the vicinity of McCall’s connexive logic. Methodologically, the choice of meticulously formulated meta-logical rules in lieu of axiom and inference schemata absorbs some structural rules and results in an economical, precise and elegant system that values decidability over completeness. (shrink)

Intuitionistic logic provides an elegant solution to the Sorites Paradox. Its acceptance has been hampered by two factors. First, the lack of an accepted semantics for languages containing vague terms has led even philosophers sympathetic to intuitionism to complain that no explanation has been given of why intuitionistic logic is the correct logic for such languages. Second, switching from classical to intuitionistic logic, while it may help with the Sorites, does not appear to offer any advantages when dealing with the (...) so-called paradoxes of higher-order vagueness. We offer a proposal that makes strides on both issues. We argue that the intuitionist’s characteristic rejection of any third alethic value alongside true and false is best elaborated by taking the normal modal system S4M to be the sentential logic of the operator ‘it is clearly the case that’. S4M opens the way to an account of higher-order vagueness which avoids the paradoxes that have been thought to infect the notion. S4M is one of the modal counterparts of the intuitionistic sentential calculus and we use this fact to explain why IPC is the correct sentential logic to use when reasoning with vague statements. We also show that our key results go through in an intuitionistic version of S4M. Finally, we deploy our analysis to reply to Timothy Williamson’s objections to intuitionistic treatments of vagueness. (shrink)

Causal pluralists hold that that there is not just one determinate kind of causation. Some causal pluralists hold that ‘cause’ is ambiguous among these different kinds. For example, Hall (2004) argues that ‘cause’ is ambiguous between two causal relations, which he labels dependence and production. The view that ‘cause’ is ambiguous, however, wrongly predicts zeugmatic conjunction reduction, and wrongly predicts the behaviour of ellipsis in causal discourse. So ‘cause’ is not ambiguous. If we are to disentangle causal pluralism from the (...) ambiguity claim, we need to consider what other linguistic approaches are available to the causal pluralist. I consider and reject proposals that ‘cause’ is a general term, that the term is an indexical, and that the term conveys different kinds of causation through implicature or presupposition. Finally, I argue that causal pluralism is better handled by treating ‘cause’ as a univocal term within a dynamic interpretation framework. (shrink)

The expression tode ti, commonly translated as ‘a this’, plays a key role in Aristotle’s metaphysics. Drawing lightly on theories of demonstratives in contemporary linguistics, I discuss the expres...

It is standardly held that Aristotle denies that artifacts are substances. There is no consensus on why this is so, and proposals include taking artifacts to lack autonomy, to be merely accidental unities, and to be impermanent. In this paper, I argue that Aristotle holds that artifacts are substances. However, where natural substances are absolutely fundamental, artifacts are merely relatively fundamental—like any substance, an artifact can ground such nonsubstances as its qualities; but artifacts are themselves partly grounded in natural substances. (...) Many contemporary metaphysicians view authorial intentions or communal recognition as an essential feature of most artifactual kinds. Drawing on Aristotle’s own examples of artifactual definitions, I note that there is little reason to ascribe this view to Aristotle. So Aristotle has the resources to hold that it is possible that there are kinds with both artifactual and non-artifactual members. (shrink)

1 Context The idea for the current issue of _Philosophia Scientiæ_ emerged from discussions which took place in the Manchester Ethnomethodology Reading Group. This reading group has its origins in Wes Sharrock’s weekly discussion groups, which have taken place in Manchester (UK) since the early 1970s. As the global Covid-19 pandemic hit in early 2020, the reading group moved online, facilitated by Phil Hutchinson and Alex Holder. Being an online reading group opened up participation to people beyond Northwest UK (...) and within weeks the group became global, with the membership including participants logging on from Canada, Czech Republic, Finland, France, Germany, Greece, Hong Kong, Japan, Macau, New Zealand, Spain, Sweden, and the USA. While the name of the group might indicate an exclusive focus on ethnomethodology, following the naming conventions for academic discussion groups, the name really fails to indicate both the heterogeneity of the group’s reading materials, the interests of t... (shrink)

Recent authors hold that the role of historical scholarship within contemporary philosophical practice is to question current assumptions, to expose vestiges or to calibrate intuitions. On these views, historical scholarship is dispensable, since these roles can be achieved by nonhistorical methods. And the value of historical scholarship is contingent, since the need for the role depends on the presence of questionable assumptions, vestiges or comparable intuitions. In this paper I draw an analogy between scientific and philosophical practice, in order to (...) float one role for historical scholarship that is nonreplicable and noncontingent. It has long been acknowledged that cognitive values – features of theories that facilitate understanding, such as ontological parsimony, ideological simplicity, computational ease and fecundity – play a key role within science. The role of some of these values within philosophy also has received attention but left understudied are the values of novelty and conservativeness. These values influence theory choice, the selection of methodology, the setting of research agenda, and the presentation of results; and are best assessed with a historically informed evaluation. This role for historical scholarship is not replicable by nonhistorical methods, and is not contingent on the presence of questionable assumptions, vestiges or comparable intuitions. (shrink)

ABSTRACT: Recently a bold and admirable interpretation of Chrysippus’ position on the Sorites has been presented, suggesting that Chrysippus offered a solution to the Sorites by (i) taking an epistemicist position1 which (ii) made allowances for higher-order vagueness. In this paper I argue (i) that Chrysippus did not take an epistemicist position, but − if any − a non-epistemic one which denies truth-values to some cases in a Sorites-series, and (ii) that it is uncertain whether and how he made allowances (...) for higher-order vagueness, but if he did, this was not grounded on an epistemicist position. (shrink)

Is there grounding in ancient philosophy? To ask a related but different question: is grounding a useful tool for the scholar of ancient philosophy? These questions are difficult, and my goal in this paper is not so much to give definitive answers as to clarify the questions. I hope to direct the student of contemporary metaphysics towards passages where it may be fruitful to look for historical precedent. But I also hope to offer the student of ancient philosophy some guidance (...) on when drawing on the contemporary discussion of grounding may be beneficial. (shrink)

Aristotle draws what are, by our lights, two unusual relationships between predication and existence. First, true universal affirmations carry existential import. If ‘All humans are mortal’ is true, for example, then at least one human exists. And secondly, although affirmations with empty terms in subject position are all false, empty negations are all true: if ‘Socrates’ lacks a referent, then both ‘Socrates is well’ and ‘Socrates is ill’ are false but both ‘Socrates is not well’ and ‘Socrates is not ill’ (...) are true. In this paper, I conjecture that for Aristotle predications have mereological truth conditions: for example, ‘Socrates is pale’ is true just in case Socrates is a part of the mereological sum of pale things. The existential import of universal affirmations and the semantic profile of empty negations follow from this mereological semantics. (shrink)

Gordon Baker in his last decade published a series of papers (now collected in Baker 2004), which are revolutionary in their proposals for understanding of later Wittgenstein. Taking our lead from the first of those papers, on "perspicuous presentations," we offer new criticisms of 'elucidatory' readers of later Wittgenstein, such as Peter Hacker: we argue that their readings fail to connect with the radically therapeutic intent of the 'perspicuous presentation' concept, as an achievement-term, rather than a kind of 'objective' mapping (...) of a 'conceptual landscape.' Baker's Wittgenstein, far from being a 'language policeman' of the kind that often fails to influence mainstream philosophy, offers an alternative to the latent scientism of Wittgenstein's influential 'elucidatory' readers. (shrink)

The work argues that engaging Africa's cultural and epistemic resources as social imaginaries, and not as metaphysical or ontological “essences,” could help practitioners of African philosophy overcome the cluster of shortcomings and undesirable features associated with “ethnophilosophy.” A number of points are outlined to buttress this claim. First, the framework of social imaginaries does not operate with the false assumption that Africa's cultural forms and epistemic resources are static and immutable. Second, this framework does not lend itself to sweeping generalizations (...) about Africa or large swathes of it. Third, the framework of social imaginaries remedies ethnophilosophy's problem of collectivism. Fourth, unlike ethnophilosophy, it does not romanticize and canonize a supposedly “idyllic” African past, which militates against a realistic and forward‐looking philosophizing. Finally, with the framework of social imaginaries, Africa's indigenous cultural and epistemic resources become amenable to being engaged with critical philosophical rigor. This not only enhances their potential for cross‐cultural philosophical conversation but also enhances their usefulness for addressing current sociopolitical issues affecting Africa. The discussion in this paper somewhat touches upon the question of method in African philosophy, using the ethnophilosophy problem to navigate the vast gamut of issues involved. (shrink)

Is there a response, which is not accounted for by regression to the mean, natural history, the Hawthorne effect?The term placebo comes to us from the Latin for "I shall please," indicating that the phenomenon known as the "placebo effect" or "placebo response" has been familiar to medical practitioners for a number of centuries, at least. As we reached the mid-20th century and randomized controlled trials became a central feature of medical research, the use of controls and blinding in those (...) trials allowed for the isolation of the placebo effect in ways that made it much clearer that there... (shrink)

ABSTRACT: This chapter offers a revenge-free solution to the liar paradox (at the centre of which is the notion of Gestalt shift) and presents a formal representation of truth in, or for, a natural language like English, which proposes to show both why -- and how -- truth is coherent and how it appears to be incoherent, while preserving classical logic and most principles that some philosophers have taken to be central to the concept of truth and our use of (...) that notion. The chapter argues that, by using a truth operator rather than truth predicate, it is possible to provide a coherent, model-theoretic representation of truth with various desirable features. After investigating what features of liar sentences are responsible for their paradoxicality, the chapter identifies the logic as the normal modal logic KT4M (= S4M). Drawing on the structure of KT4M (=S4M), the author proposes that, pace deflationism, truth has content, that the content of truth is bivalence, and that the notions of both truth and bivalence are semideterminable. (shrink)

Since Mates’ seminal Stoic Logic there has been uncertainty and debate about how to treat the term anapodeiktos when used of Stoic syllogisms. This paper argues that the customary translation of anapodeiktos by ‘indemonstrable’ is accurate, and it explains why this is so. At the heart of the explanation is an argument that, contrary to what is commonly assumed, indemonstrability is rooted in the generic account of the Stoic epistemic notion of demonstration. Some minor insights into Stoic logic ensue.

I discuss Peramatzis's (2011) argument that the form of a natural substance is essentially enmattered and so contains a material component.

The death of Peter Winch in 1997 sparked a revived interest in his work with this book arguing his work suffered misrepresentation in both recent literature and in contemporary critiques of his writing. Debates in philosophy and sociology about foundational questions of social ontology and methodology often claim to have adequately incorporated and moved beyond Winch's concerns. Re-establishing a Winchian voice, the authors examine how such contentions involve a failure to understand central themes in Winch's writings and that the issues (...) which occupied him in his Idea of a Social Science and its Relation to Philosophy and later papers remain central to social studies. The volume offers a careful reading of the text in alliance with Wittgensteinian insights and alongside a focus on the nature and results of social thought and inquiry. It draws parallels with other movements in the social studies, notably ethnomethodology, to demonstrate how Winch's central claim is both more significant and more difficult to transcend than sociologists and philosophers have hitherto imagined. (shrink)

Metaphysical explanations, unlike many other kinds of explanation, are standardly thought to be insensitive to our epistemic situation and so are not evaluable by cognitive values such as salience. I consider a case study that challenges this view. Some properties are distributed over an extension. For example, the property of being polka-dotted red on white, when instantiated, is distributed over a surface. Similar properties have been put to work in a variety of explanatory tasks in recent metaphysics, including: providing an (...) analysis of change, giving to presentists truthmakers for past claims; giving to priority monists an account of basic heterogeneous entities; and giving to friends of extended simples an explanation of how an extended simple can enjoy qualitative variation. I argue that such explanations exhibit salience failure. How ought we represent the semantics of salience? Differences in linguistic stress induce semantic differences similar to the semantic differences induced in explanations by differences in salience, and I will draw an analogy with linguistic theories of focus sensitivity to sketch how one might model the role of salience in these kinds of explanations. I end with a few tentative conclusions about the role of cognitive values in metaphysical explanations. Some theorists view the citation of a ground as a sufficient explanation. If certain explanations appealing to distributed properties exhibit attenuated salience, then arguably the mere citation of a ground does not always provide an adequate explanation. (shrink)

ABSTRACT: This is a little piece directed at the newcomer to Aristotle, making some general remarks about reading Aristotle at the beginning and end, with sandwiched in between, a brief and much simplified discussion of some common misunderstandings of Aristotle's philosophy, concerning spontaneity, causal indeterminism, freedom-to-do-otherwise, free choice, agent causation, logical determinism, teleological determinism, artistic creativity and freedom (eleutheria).

This paper summarizes (in German) recent tendencies in the philosophy of the life sciences.

This paper is an expanded written version of my reply to Rosanna Keefe’s paper ‘Modelling higher-order vagueness: columns, borderlines and boundaries’ (Keefe 2015), which in turn is a reply to my paper ‘Columnar higher-order vagueness, or Vagueness is higher-order vagueness’ (Bobzien 2015). Both papers were presented at the Joint Session of the the Aristotelian Society and the Mind Association in July, 2015. At the Joint Session meeting, there was insufficient time to present all of my points in response to Keefe’s (...) paper. In addition, the audio of the session, which is available online, becomes inaudible at the beginning of my reply to Keefe’s comments due to a technical defect. The following is a full version of my remarks. (shrink)

Background: All research has room for improvement, but authors do not always clearly acknowledge the limitations of their work. In this brief report, we sought to identify the prevalence of limitations statements in the medRxiv COVID-19 SARS-CoV-2 dataset. Methods: We combined automated methods with manual review to analyse manuscripts for the presence, or absence, either of a defined limitations section in the text, or as part of the general discussion. Results: We identified a structured limitations statement in 28% of the (...) manuscripts, and overall 52% contained at least one mention of a study limitation. Over one-third of manuscripts contained none of the terms that might typically be associated with reporting of limitations. Overall our method performed with precision of 0.97 and recall of 0.91. Conclusion: The presence or absence of limitations statements can be identified with reasonable confidence using automated tools. We suggest that it might be beneficial to require a defined, structured statement about study limitations, either as part of the submission process, or clearly delineated within the manuscript. (shrink)

This paper is a discussion of Gabriel, Hülser and Schlotter’s 2009 article on a possible causal relation between Stoic logic and Frege. The paper provides detailed argument for why Rudolf Hirzel should not be taken as the qualified middleman in philosophical discussion with whom Frege learned what he ‘borrowed’ without acknowledgement from Stoic logic. Additionally, this paper offers some modest findings about some aspects of Frege's and Hirzel's lives and work habits, which may help us understand a little better Frege's (...) connection to Hirzel and to Stoic logic as well as Frege’s failure to acknowledge the Stoics. This paper is a purely historical offshoot of my essay ‘Frege plagiarized the Stoics’. Zero direct insights into either Frege’s or Stoic philosophy are offered. OPEN ACCESS. Choose 'without proxy' below. (shrink)

Lethal Autonomous Weapons (LAWs) are robotic weapons systems, primarily of value to the military, that could engage in offensive or defensive actions without human intervention. This paper assesses and engages the current arguments for and against the use of LAWs through the lens of achieving more ethical warfare. Specific interest is given particularly to ethical LAWs, which are artificially intelligent weapons systems that make decisions within the bounds of their ethics-based code. To ensure that a wide, but not exhaustive, survey (...) of the implications of employing such ethical devices to replace humans in warfare is taken into account, this paper will engage on matters related to current scholarship on the rejection or acceptance of LAWs—including contemporary technological shortcomings of LAWs to differentiate between targets and the behavioral and psychological volatility of humans—and current and proposed regulatory infrastructures for developing and using such devices. After careful consideration of these factors, this paper will conclude that only ethical LAWs should be used to replace human involvement in war, and, by extension of their consistent abilities, should remove humans from war until a more formidable discovery is made in conducting ethical warfare. (shrink)

It is common to think of medical and ethical modes of thought as different in kind. In such terms, some clinical situations are made more complicated by an additional ethical component. Against this picture, we propose that medical and ethical modes of thought are not different in kind, but merely different aspects of what it means to be human. We further propose that clinicians are uniquely positioned to synthesise these two aspects without prior knowledge of philosophical ethics.

ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules which (...) establish the formal validity of non-indemonstrable arguments by analysing them in one or more steps into one or more indemonstrable arguments (cut type rules and antilogism). The function of these rules is to reduce given non-indemonstrable arguments to indemonstrable syllogisms. Moreover, the Stoic method of deduction differs from standard modern ones in that the direction is reversed (similar to tableau methods). The Stoic system may hence be called an argumental reductive system of deduction. In this paper, a reconstruction of this system of logic is presented, and similarities to relevance logic are pointed out. (shrink)

Although arguments for and against competing theories of vagueness often appeal to claims about the use of vague predicates by ordinary speakers, such claims are rarely tested. An exception is Bonini et al. (1999), who report empirical results on the use of vague predicates by Italian speakers, and take the results to count in favor of epistemicism. Yet several methodological difficulties mar their experiments; we outline these problems and devise revised experiments that do not show the same results. We then (...) describe three additional empirical studies that investigate further claims in the literature on vagueness: the hypothesis that speakers confuse ‘P’ with ‘definitely P’, the relative persuasiveness of different formulations of the inductive premise of the Sorites, and the interaction of vague predicates with three different forms of negation. (shrink)

The relation of ontological dependence or grounding, expressed by the terminology of separation and priority in substance, plays a central role in Aristotle’s Categories, Metaphysics, De Anima and elsewhere. The article discusses three current interpretations of this terminology. These are drawn along the lines of, respectively, modal-existential ontological dependence, essential ontological dependence, and grounding or metaphysical explanation. I provide an opinionated introduction to the topic, raising the main interpretative questions, laying out a few of the exegetical and philosophical options that (...) influence one’s reading, and locating questions of Aristotle scholarship within the discussion of ontological dependence and grounding in contemporary metaphysics. (shrink)

There is a trade-off between specificity and accuracy in existing models of belief. Descriptions of agents in the tripartite model, which recognizes only three doxastic attitudes—belief, disbelief, and suspension of judgment—are typically accurate, but not sufficiently specific. The orthodox Bayesian model, which requires real-valued credences, is perfectly specific, but often inaccurate: we often lack precise credences. I argue, first, that a popular attempt to fix the Bayesian model by using sets of functions is also inaccurate, since it requires us to (...) have interval-valued credences with perfectly precise endpoints. We can see this problem as analogous to the problem of higher order vagueness. Ultimately, I argue, the only way to avoid these problems is to endorse Insurmountable Unclassifiability. This principle has some surprising and radical consequences. For example, it entails that the trade-off between accuracy and specificity is in-principle unavoidable: sometimes it is simply impossible to characterize an agent’s doxastic state in a way that is both fully accurate and maximally specific. What we can do, however, is improve on both the tripartite and existing Bayesian models. I construct a new model of belief—the minimal model—that allows us to characterize agents with much greater specificity than the tripartite model, and yet which remains, unlike existing Bayesian models, perfectly accurate. (shrink)

Both literalism, the view that mathematical objects simply exist in the empirical world, and fictionalism, the view that mathematical objects do not exist but are rather harmless fictions, have been both ascribed to Aristotle. The ascription of literalism to Aristotle, however, commits Aristotle to the unattractive view that mathematics studies but a small fragment of the physical world; and there is evidence that Aristotle would deny the literalist position that mathematical objects are perceivable. The ascription of fictionalism also faces a (...) difficult challenge: there is evidence that Aristotle would deny the fictionalist position that mathematics is false. I argue that, in Aristotle's view, the fiction of mathematics is not to treat what does not exist as if existing but to treat mathematical objects with an ontological status they lack. This form of fictionalism is consistent with holding that mathematics is true. (shrink)

A predicate logic typically has a heterogeneous semantic theory. Subjects and predicates have distinct semantic roles: subjects refer; predicates characterize. A sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. Traditional term logic, by contrast, has a homogeneous theory: both subjects and predicates refer; and a sentence is true if the subject and predicate name one and the same thing. In this paper, I will examine evidence for ascribing to Aristotle the (...) view that subjects and predicates refer. If this is correct, then it seems that Aristotle, like the traditional term logician, problematically conflates predication and identity claims. I will argue that we can ascribe to Aristotle the view that both subjects and predicates refer, while holding that he would deny that a sentence is true just in case the subject and predicate name one and the same thing. In particular, I will argue that Aristotle's core semantic notion is not identity but the weaker relation of constitution. For example, the predication ‘All men are mortal’ expresses a true thought, in Aristotle's view, just in case the mereological sum of humans is a part of the mereological sum of mortals. (shrink)

eSports practice designates a unique set of activities tethered to competitive, virtual environments, or worlds. This correlation between eSports practitioner and virtual world, we argue, is inadequately accounted for solely in terms of something physical or intellectual. Instead, we favor a perspective on eSports practice to be analyzed as a perceptual and embodied phenomenon. In this article, we present the phenomenological approach and focus on the embodied sensations of eSports practitioners as they cope with and perceive within their virtual worlds. (...) By approaching eSports phenomenologically, we uncover ways in which its unique forms of virtual involvement overlap with as well as differentiate themselves from traditional structures of embodiment. (shrink)

ABSTRACT: I argue that there is no evidence that Epicurus dealt with the kind of free-will problem he is traditionally associated with; i.e. that he discussed free choice or moral responsibility grounded on free choice, or that the "swerve" was involved in decision processes. Rather, for Epicurus, actions are fully determined by the agent's mental disposition at the outset of the action. Moral responsibility presupposes not free choice but that the person is unforced and causally responsible for the action. This (...) requires the agent's ability to influence causally, on the basis of their beliefs, the development of their behavioral dispositions. The "swerve" was intended to explain the non-necessity of agency without undermining Epicurus' atomistic explanation of the order in the universe, viz. by making the mental dispositions of adults non-necessary. (shrink)

The purpose of this paper is to challenge some widespread assumptions about the role of the modal axiom 4 in a theory of vagueness. In the context of vagueness, axiom 4 usually appears as the principle ‘If it is clear (determinate, definite) that A, then it is clear (determinate, definite) that it is clear (determinate, definite) that A’, or, more formally, CA → CCA. We show how in the debate over axiom 4 two different notions of clarity are in play (...) (Williamson-style "luminosity" or self-revealing clarity and concealeable clarity) and what their respective functions are in accounts of higher-order vagueness. On this basis, we argue first that, contrary to common opinion, higher-order vagueness and S4 are perfectly compatible. This is in response to claims like that by Williamson that, if vagueness is defined with the help of a clarity operator that obeys axiom 4, higher-order vagueness disappears. Second, we argue that, contrary to common opinion, (i) bivalence-preservers (e.g. epistemicists) can without contradiction condone axiom 4 (by adopting what elsewhere we call columnar higher-order vagueness), and (ii) bivalence-discarders (e.g. open-texture theorists, supervaluationists) can without contradiction reject axiom 4. Third, we rebut a number of arguments that have been produced by opponents of axiom 4, in particular those by Williamson. (The paper is pitched towards graduate students with basic knowledge of modal logic.). (shrink)