Past work has demonstrated that people’s moral judgments can influence their judgments in a number of domains that might seem to involve straightforward matters of fact, including judgments about freedom, causation, the doing/allowing distinction, and intentional action. The present studies explore whether the effect of morality in these four domains can be explained by changes in the relevance of alternative possibilities. More precisely, we propose that moral judgment influences the degree to which people regard certain alternative possibilities as relevant, which (...) in turn impacts intuitions about freedom, causation, doing/allowing, and intentional action. Employing the stimuli used in previous research, Studies 1a, 2a, 3a, and 4a show that the relevance of alternatives is influenced by moral judgments and mediates the impact of morality on non-moral judgments. Studies 1b, 2b, 3b, and 4b then provide direct empirical evidence for the link between the relevance of alternatives and judgments in these four domains by manipulating (rather than measuring) the relevance of alternative possibilities. Lastly, Study 5 demonstrates that the critical mechanism is not whether alternative possibilities are considered, but whether they are regarded as relevant. These studies support a unified framework for understanding the impact of morality across these very different kinds of judgments. (shrink)

Consciousness has an important role in ethics: when a being consciously experiences the frustration or satisfaction of its interests, those interests deserve higher moral priority than those of a behaviourally similar but non-conscious being. I consider the relationship between this ethical role and an a posteriori (or “type-B”) materialist solution to the mind-body problem. It is hard to avoid the conclusion that, if type-B materialism is correct, then the reference of the concept of phenomenal consciousness is radically indeterminate between a (...) neuronal-level property that is distinctive to mammals and a high-level functional property that is much more widely shared. This would leave many non-mammalian animals (such as birds, fish, insects and octopuses) with indeterminate moral status. There are ways to manage this radical moral indeterminacy, but all of these ways lead to profoundly troubling consequences. (shrink)

Complex constraints like conditionals ('If A, then B') and probabilistic constraints ('The probability that A is p') pose problems for Bayesian theories of learning. Since these propositions do not express constraints on outcomes, agents cannot simply conditionalize on the new information. Furthermore, a natural extension of conditionalization, relative information minimization, leads to many counterintuitive predictions, evidenced by the sundowners problem and the Judy Benjamin problem. Building on the notion of a `paradigm shift' and empirical research in psychology and economics, I (...) argue that the model of hypothesis testing can explain how people learn complex, theory-laden propositions like conditionals and probability constraints. Theories are formalized as probability distributions over a set of possible outcomes and theory change is triggered by a constraint which is incompatible with the initial theory. This leads agents to consult a higher order probability function, or a 'prior over priors,' to choose the most likely alternative theory which satisfies the constraint. The hypothesis testing model is applied to three examples: learning a simple probabilistic constraint involving coin bias, the sundowners problem for conditional learning, and the Judy Benjamin problem for learning conditional probability constraints. (shrink)

What makes fast, cumulative cultural evolution work? Where did it come from? Why is it the sole preserve of humans? We set out a self-assembly hypothesis: cultural evolution evolved culturally. We present an evolutionary account that shows this hypothesis to be coherent, plausible, and worthy of further investigation. It has the following steps: (0) in common with other animals, early hominins had significant capacity for social learning; (1) knowledge and skills learned by offspring from their parents began to spread because (...) bearers had more offspring, a process we call CS1 (or Cultural Selection 1); (2) CS1 shaped attentional learning biases; (3) these attentional biases were augmented by explicit learning biases (judgements about what should be copied from whom). Explicit learning biases enabled (4) the high-fidelity, exclusive copying required for fast cultural accumulation of knowledge and skills by a process we call CS2 (or Cultural Selection 2), and (5) the emergence of cognitive processes such as imitation, mindreading and metacognition – ‘cognitive gadgets’ specialised for cultural learning. This self-assembly hypothesis is consistent with archaeological evidence that the stone tools used by early hominins were not dependent on fast, cumulative cultural evolution, and suggests new priorities for research on ‘animal culture’. (shrink)

I consider some hitherto unexplored examples of teleological language in the sciences. In explicating these examples, I aim to show (a) that such language is not the sole preserve of the biological sciences, and (b) that not all such talk is reducible to the ascription of functions. In chemistry and biochemistry, scientists explaining molecular rearrangements and protein folding talk informally of molecules rearranging “in order to” maximize stability. Evolutionary biologists, meanwhile, often speak of traits evolving “in order to” optimize some (...) fitness-relevant variable. I argue that in all three contexts such locutions are best interpreted as shorthands for more detailed explanations which, were we to spell them out in full, would show that the relevant process would robustly converge towards the same end-point despite variation in initial conditions. This suggests that, in biology, such talk presupposes a substantial form of adaptationism. The upshot is that such shorthands may be more applicable in the physical sciences than the biological. (shrink)

Inclusive fitness theory was not originally designed to explain the major transitions in evolution, but there is a growing consensus that it has the resources to do so. My aim in this paper is to highlight, in a constructive spirit, the puzzles and challenges that remain. I first consider the distinctive aspects of the cooperative interactions we see within the most complex social groups in nature: multicellular organisms and eusocial insect colonies. I then focus on one aspect in particular: the (...) extreme redundancy these societies exhibit. I argue that extreme redundancy poses a distinctive explanatory puzzle for inclusive fitness theory, and I offer a potential solution which casts coercion as the key enabler. I suggest that the general moral to draw from the case is one of guarded optimism: while inclusive fitness is a powerful tool for understanding evolutionary transitions, it must be integrated within a broader framework that recognizes the distinctive problems such transitions present and the distinctive mechanisms by which these problems may be overcome. (shrink)

Review of the first comprehensive companion to the growing scholarship on ancient Greek and Roman aesthetics.

Peter de Rivo (b. ca. 1420), argues for the existence of human freedom despite its alleged incompatibility with the truth of future contingent propositions. Rivo’s solution doesn’t follow the common medieval attempt to dissolve the alleged incompatibility, but claims that future contingent propositions aren’t determinately true. This approach troubled Rivo’s contemporaries, who thought it was incompatible with biblical infallibility, particularly the veracity of prophetic statements. Rivo tries to reconcile his solution with orthodox Christianity by grounding authentic prophetic statements in God’s (...) cognition of future events. In the end, Rivo’s attempted reconciliation fails because grounding the truth of prophetic statements in God cognition is incompatible either with his theological assumptions or his conception of free action. (shrink)

Molyneux asked whether a newly sighted person could distinguish a sphere from a cube by sight alone, given that she was antecedently able to do so by touch. This, we contend, is a question about general ideas. To answer it, we must ask (a) whether spatial locations identified by touch can be identified also by sight, and (b) whether the integration of spatial locations into an idea of shape persists through changes of modality. Posed this way, Molyneux’s Question goes substantially (...) beyond question (a), about spatial locations, alone; for a positive answer to (a) leaves open whether a perceiver might cross-identify locations, but not be able to identify the shapes that collections of locations comprise. We further emphasize that MQ targets general ideas so as to distinguish it from corresponding questions about experiences of shape and about the property of tangible (vs. visual) shape. After proposing a generalized formulation of MQ, we extend earlier work (“Many Molyneux Questions,” Australasian Journal of Philosophy 2020) by showing that MQ does not admit a single answer across the board. Some integrative data-processes transfer across modalities; others do not. Seeing where and how such transfer succeeds and fails in individual cases has much to offer to our understanding of perception and its modalities. (shrink)

In this paper, I examine the relation between Henri Poincaré’s definition of mathematical continuity and Sartre’s discussion of temporality in Being and Nothingness. Poincaré states that a series A, B, and C is continuous when A=B, B=C and A is less than C. I explicate Poincaré’s definition and examine the arguments that he uses to arrive at this definition. I argue that Poincaré’s definition is applicable to temporal series, and I show that this definition of continuity provides a logical basis (...) for Sartre’s psychological explanation of temporality. Specifically, I demonstrate that Poincaré’s definition allows the for-itself to be understood both as connected to a past and future and as distinct from itself. I conclude that the gap between two terms in a temporal series comprises the present and being-for-itself, since it is this gap that occasions the radical freedom to reshape the past into a distinct and different future. (shrink)

This thesis is an argument for the view that there are problems for Modal Reductionism, the thesis that modality can satisfactorily be defined in non-modal terms. -/- I proceed via a case study of David Lewis’s theory of concrete possible worlds. This theory is commonly regarded as the best and most influential candidate reductive theory of modality. Based on a detailed examination of its ontology, analysis and justification, I conclude that it does badly with respect to the following four minimal (...) conditions on a satisfactory reductive theory of modality: that it be (a) genuinely reductive, (b) materially adequate, (c) conceptually adequate and (d) that its justification provides good reason to think it true. -/- These problems for Lewis’s theory are not, I suggest, due to his idiosyncratic conception of possible worlds as concrete entities. Rather, because Lewis’s theory can be seen to represent an important class of structurally similar reductive theories of modality, the problems for Lewis’s theory generalise to problems for these other theories. This suggests that Modal Reductionism is unpromising. In the light of this, the alternative approach to understanding modality, Modal Primitivism, appears more attractive. (shrink)

Existing research has shown that norm violations influence causal judgments, and a number of different models have been developed to explain these effects. One such model, the necessity/sufficiency model, predicts an interac- tion pattern in people’s judgments. Specifically, it predicts that when people are judging the degree to which a particular factor is a cause, there should be an interaction between (a) the degree to which that factor violates a norm and (b) the degree to which another factor in the (...) situation violates norms. A study of moral norms (N = 1000) and norms of proper functioning (N = 3000) revealed robust evidence for the predicted interaction effect. The implications of these patterns for existing theories of causal judgments is discussed. (shrink)

Molyneux's Question (MQ) concerns whether a newly sighted man would recognize/distinguish a sphere and a cube by vision, assuming he could previously do this by touch. We argue that (MQ) splits into questions about (a) shared representations of space in different perceptual systems, and about (b) shared ways of constructing higher dimensional spatiotemporal features from information about lower dimensional ones, most of the technical difficulty centring on (b). So understood, MQ resists any monolithic answer: everything depends on the constraints faced (...) by particular perceptual systems in extracting features of higher dimensionality from those of lower. Each individual question of this type is empirical and must be investigated separately. We present several variations on MQ based on different levels of dimensional integration—some of these are familiar, some novel adaptations of problems known elsewhere, and some completely novel. Organizing these cases in this way is useful because it unifies a set of disparate questions about intermodal transfer that have held philosophical and psychological interest, suggests a new range of questions of the same type, sheds light on similarities and differences between members of the family, and allows us to formulate a much-augmented set of principles and questions concerning the intermodal transfer of spatiotemporal organization. (shrink)

Andrew Bourke’s Principles of Social Evolution identifies three stages that characterize an evolutionary transition in individuality and deploys inclusive fitness theory to explain each stage. The third stage, social group transformation, has hitherto received relatively little attention from inclusive fitness theorists. In this review, I first discuss Bourke’s “virtual dominance” hypothesis for the evolution of the germ line. I then contrast Bourke’s inclusive fitness approach to the major transitions with the multi-level approach developed by Richard Michod, Samir Okasha and others. (...) I suggest that, rather than choosing between these approaches, we should exploit the strengths of both. Finally, I stress the need for a firmer conceptual grasp of the nature of social group transformation. (shrink)

Truthmaker says that things, broadly construed, are the ontological grounds of truth and, therefore, that things make truths true. Recently, there have been a number of arguments purporting to show that if one embraces Truthmaker, then one ought to embrace Truthmaker Maximalism—the view that all non-analytic propositions have truthmakers. But then if one embraces Truthmaker, one ought to think that negative existentials have truthmakers. I argue that this is false. I begin by arguing that recent attempts by Ross Cameron and (...) Jonathan Schaffer to provide negative existentials with truthmakers fail. I then argue that the conditional—if one embraces Truthmaker, the one ought to embrace Truthmaker Maximalism—is false by considering worlds where very little, if anything at all, exists. The conclusion is that thinking that negative existentials do not have truthmakers, and therefore rejecting Truthmaker Maximalism, need not worry Truthmaker embracers. (shrink)

Collected and edited by Noah Levin -/- Table of Contents: -/- UNIT ONE: INTRODUCTION TO CONTEMPORARY ETHICS: TECHNOLOGY, AFFIRMATIVE ACTION, AND IMMIGRATION 1 The “Trolley Problem” and Self-Driving Cars: Your Car’s Moral Settings (Noah Levin) 2 What is Ethics and What Makes Something a Problem for Morality? (David Svolba) 3 Letter from the Birmingham City Jail (Martin Luther King, Jr) 4 A Defense of Affirmative Action (Noah Levin) 5 The Moral Issues of Immigration (B.M. Wooldridge) 6 The Ethics of our (...) Digital Selves (Noah Levin) -/- UNIT TWO: TORTURE, DEATH, AND THE “GREATER GOOD” 7 The Ethics of Torture (Martine Berenpas) 8 What Moral Obligations do we have (or not have) to Impoverished Peoples? (B.M. Wooldridge) 9 Euthanasia, or Mercy Killing (Nathan Nobis) 10 An Argument Against Capital Punishment (Noah Levin) 11 Common Arguments about Abortion (Nathan Nobis & Kristina Grob) 12 Better (Philosophical) Arguments about Abortion (Nathan Nobis & Kristina Grob) -/- UNIT THREE: PERSONS, AUTONOMY, THE ENVIRONMENT, AND RIGHTS 13 Animal Rights (Eduardo Salazar) 14 John Rawls and the “Veil of Ignorance” (Ben Davies) 15 Environmental Ethics: Climate Change (Jonathan Spelman) 16 Rape, Date Rape, and the “Affirmative Consent” Law in California (Noah Levin) 17 The Ethics of Pornography: Deliberating on a Modern Harm (Eduardo Salazar) 18 The Social Contract (Thomas Hobbes) -/- UNIT FOUR: HAPPINESS 19 Is Pleasure all that Matters? Thoughts on the “Experience Machine” (Prabhpal Singh) 20 Utilitarianism (J.S. Mill) 21 Utilitarianism: Pros and Cons (B.M. Wooldridge) 22 Existentialism, Genetic Engineering, and the Meaning of Life: The Fifths (Noah Levin) 23 The Solitude of the Self (Elizabeth Cady Stanton) 24 Game Theory, the Nash Equilibrium, and the Prisoner’s Dilemma (Douglas E. Hill) -/- UNIT FIVE: RELIGION, LAW, AND ABSOLUTE MORALITY 25 The Myth of Gyges and The Crito (Plato) 26 God, Morality, and Religion (Kristin Seemuth Whaley) 27 The Categorical Imperative (Immanuel Kant) 28 The Virtues (Aristotle) 29 Beyond Good and Evil (Friedrich Nietzsche) 30 Other Moral Theories: Subjectivism, Relativism, Emotivism, Intuitionism, etc. (Jan F. Jacko). (shrink)

Attacks on migrant and refugee entrepreneurs and their properties by South African rivals and ordinary citizens have become a common phenomenon throughout the country, including the city of Cape Town. Business robberies often result in deaths or serious injuries. The Somali Community Board has noted that over 400 Somali refugees, many of them informal traders, were murdered in South Africa between early 2002 and mid-2010. The police are frequently accused by migrants of fomenting or turning a blind eye to xenophobic (...) attacks on their businesses. Meanwhile, the government refuses to acknowledge the existence of xenophobia or the xenophobic rhetoric in many of these attacks, claiming instead that they are simply the actions of criminal elements. Photographs published in the media of the looting of migrant stores do not tend to feature hardened criminals, but ordinary citizens including children in school uniform. -/- Migrant businesses are portrayed by officials, citizens and the media as having a negative impact on the South African economy and undermining the livelihoods of South Africans. The prevalence of such perceptions helps to explain growing xenophobic sentiment against migrants and refugees. Contrary to these popular perceptions, an emerging literature on migrant entrepreneurship is beginning to demonstrate the positive economic contributions of migrants and refugees to the country. This report examines the nature of informal migrant and refugee entrepreneurship in Cape Town and whether or not the negative stereotypes have any validity. It also seeks to examine what economic contributions migrants and refugees make to the local economy. -/- The report is based on the research conducted by the Growing Informal Cities project, a partnership between SAMP/IMRC, the African Centre for Cities at the University of Cape Town, the Gauteng City-Region Observatory (GCRO) and Eduardo Mondlane University in Maputo. A questionnaire was administered to a sample of 518 migrant owners of microenterprises, which had to meet three basic criteria for inclusion: (a) owned by a non-South African; (b) in operation for at least two years; and (c) unregistered with the South African Revenue Services (SARS). Although migrant entrepreneurs are located in most areas of the city, certain areas have particular concentrations of migrant-owned businesses. "e questionnaires were administered in four such areas: Imizamo Yethu, Philippi, Bellville, and Cape Town CBD. Thirty in-depth interviews were also conducted with selected owners of informal micro-enterprises. Two focus group discussions were held in the Cape Town CBD and Philippi respectively. Fifteen key informant interviews were held with various stakeholders in Cape Town to understand the operation and constraints faced by migrants operating in the city’s informal economy. -/- The major findings of the personal profile of the migrant and refugee entrepreneurs were as follows: -/- • The entrepreneurs came from over 20 different countries of which Zimbabwe, Somalia, the Democratic Republic of the Congo (DRC), Nigeria, Malawi, Ethiopia and Cameroon were the most prominent. Just over a third were from other countries in the SADC. The prominence of Zimbabwean entrepreneurs in the Cape Town informal economy is not surprising, given the events in that country over the past decade and a half and resultant mass migration to South Africa. A total of 57% of the entrepreneurs were from other African countries, especially the DRC, Somalia, Nigeria and Ethiopia. "e majority of migrants from these countries (except Nigeria) came to South Africa as refugees. -/- • A third of the entrepreneurs had refugee permits. Of these, nearly 60% came from only three countries: the DRC, Ethiopia and Somalia. A further 31% held asylum-seeker permits. Of these, 32% were Zimbabwean while another 30% came from DRC, Ethiopia and Somalia. Nearly 12% had permanent residence permits while 8% were holders of work permits. Only 7% of the respondents indicated that they did not have official documentation to stay in South Africa. Thus, the majority of migrant entrepreneurs have forced migrants who are entitled to human rights protection under international and South African refugee law. • Very few of the entrepreneurs entered South Africa before 1994. Only 8% arrived in the immediate post-apartheid years. While another 20% came in the period 2000to 2004, the vast majority (70%) came during the last decade. As many as 44% arrived between 2005 and 2009 and a further 27% thereafter. Migration from Zimbabwe, in particular, escalated between 2005 and 2009 as the country plunged deeper into crisis. • Despite the perception that unemployment at home is a driver of migration to South Africa, only 14% of the entrepreneurs were unemployed immediately before leaving for South Africa. Another 19% were students. Twenty-six percent were working in the informal economy in their home countries. -/- .......INCOMPLETE..... (shrink)

Ideologies, worldviews, or simply personal theories, often acquire a distorted and pathological character, and become a factor of alienation rather than an epistemic resource and an aid for personal existence. This paper attempts to better define the limits and characteristics of this experience, which we call distorted intellectual beliefs, or general conceptual beliefs (GB), while trying to highlight both its sometimes dramatic background and its personal and social consequences, which are no less potentially deleterious. We believe that such experiences should (...) not be confused tout court with a broader and more complex phenomenon, such as extremism and politico-religious radicalism, but are a specific typology of that broader and multifaceted fact that is self-deception. We hypothesize that the self-deception implicit in experiences of intellectual distortion produces a cognitive dissonance of which the subject is normally, though with varying intensity, aware (or may become aware through honest introspection). The phenomenon occurs in two forms: one is normal (sporadic), the other is exceptional (systematic). The passage from one to the other is a complex process of escalation and de-escalation, on which multiple external and internal variables act. In its ascending path, it essentially coincides with a process of psychological polarization and cognitive "de-pluralization", while its descending phase marks a return to reality and a "re-pluralization", where the subject returns to being what he basically is, namely, an active and tireless meaning seeker. In the central part of the chapter, similarities and differences between processes of deradicalization and phenomena of religious deconversion are analyzed, with reference, among others, to the case of the Austro-Hungarian writer Arthur Koestler. -/- An abridged version of this text has been delivered for the Workshop "Explaining Extreme Belief and Extreme Behavior", September 15-16, 2022, Vrije Universiteit Amsterdam. I am grateful to David Konstan (NYU) for reading and commenting on a first version of this chapter and to Rik Peels (VUA) for his comments and questions during the Workshop. I would also like to thank my bachelor's and master's students at UDG, who discussed these topics at length with during semester 2022-B. (shrink)

The present paper identifies a challenge for a certain view of practical reasons, according to which practical reasons (both normative and motivating) are states of affairs. The problem is that those who endorse such a view seem forced to maintain both a) that the contents of beliefs are states of affairs and b) that the conception according to which the contents of beliefs are states of affairs is outlandish. The suggestion is put forward that, by distinguishing the content of a (...) belief (as a proposition) from its object (as a state of affairs), the conflict between a) and b) can be neutralised. The resulting proposal is of interest for all those sharing the view that practical reasons must be states of affairs, i.e., things capable of being the case. (shrink)

Contributors: Steven Barbone, Laurent Bove, Edwin Curley, Valérie Debuiche, Michael Della Rocca, Simon B. Duffy, Daniel Garber, Pascale Gillot, Céline Hervet, Jonathan Israel, Chantal Jaquet, Mogens Lærke, Jacqueline Lagrée, Martin Lin, Yitzhak Y. Melamed, Pierre-François Moreau, Steven Nadler, Knox Peden, Alison Peterman, Charles Ramond, Michael A. Rosenthal, Pascal Sévérac, Hasana Sharp, Jack Stetter, Ariel Suhamy, Lorenzo Vinciguerra.

Predication is a lingual relation. We have this relation when a term is said (λέγεται) of another term. This simple definition, however, is not Aristotle’s own definition. In fact, he does not define predication but attaches his almost in a new field used word κατηγορεῖσθαι to λέγεται. In a predication, something is said of another thing, or, more simply, we have ‘something of something’ (ἓν καθ᾿ ἑνὸς). (PsA. , A, 22, 83b17-18) Therefore, a relation in which two terms are posited (...) to each other in a way that one is said (predicated) of the other is a predication. The term of which the other term is said is called a subject (ὑποκειμένον) and the other, which is said about the subject, is called the predicate. Thus, in a predication the predicate is predicated of the subject; given that being predicated is almost as the same as being said. The relation between being said and being predicated is so close that ‘if something is said of a subject both its name and its definition are necessarily predicated of the subject.’ (Cat., 5, 2a19-26) This, however, is true only about the second genera and not the accidents. a) Nature of relation in predication What is Aristotle’s theory about the nature of the relation in a predication? How does he fundamentally understand this relation? Phil Corkum distinguishes between predication logic and traditional term logic and argues that the relation between subject and predicate in Aristotle is of the latter kind. While in predicate logic, subjects and predicates have distinct roles, they have the same role in traditional term logic. In predication logic, subjects refer, but predicates characterize. Thereupon, a sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. In traditional term logic, both subjects and predicates refer and a sentences expresses a truth if both name one and the same thing. He concludes that Aristotle ‘problematically conflates prediction and identity claims’ because while he thinks both subjects and predicates refer, he would deny that a sentence is true just in case the subject and the predicate name one and the same thing. Based on this, Corkum believes that Aristotle’s core semantic is not identity but the weaker relation of constitution, which is a mereological interpretation: ‘All men are mortal’ is true just in case the mereological sum of humans is part of the mereological sum of mortals. b) Aristotle’s theory of predication: one or two theories? Frank Lewis finds an inconsistent gap between the theory of predication in the Categories and that in the later books of the Metaphysics VII, 6. So too Joan Kung, Terry Irwin, Daniel Graham. c) Distinction of ‘being said of’ and ‘being in’ Owen enumerates the texts in which Aristotle’s distinction between ‘being said of’ and ‘being in’ is asserted: OI. 11b38-12a17; To., 127b1-4; Cat. 1a20-b9; 2a11-14; 2a27-b6; 2b15-17; 3a7-32; 9b22-24 d) Predication in Aristotle and the standard ‘S is P’ Marie De Rijk Lambertus thinks that the ‘S is P’ pattern is misleading when it comes to express predication in Aristotle. In his view, ‘The Aristotelian procedure should be described in terms of appositively assigning an attribute (κατηγορούμενον) to a substrate (ὑποκείμενον), rather than ascribing a predicate to a subject by means of a copula…. The comment should be considered an attribute which is said to fall to a substrate, without understanding this procedure in terms of sentence predication.’ e) Aristotle’s predication: bipartite or tripartite? It is a difficulty to make Aristotle’s theories of name-verb predication and tripartite predication consistent. The reason is that tripartite is not consistant with his name-verb structure based on which he says that the predicate term is the ‘verb.’ (20a31; 20b1-2; 16a13-5) The problem is that in a tripartite form like ‘Socrates is white’ we cannot take ‘is white’ as the verb because, based on Aristotle himself, no part of a verb can be significant itself. (16b6-7) However, his assertions about the equivalences between the two structures (OI. 12, 21b9-10; PrA. 51b13-16; Met., 1017b22-30) must mean that they are not inconsistent in his own view. Thus, as Allen Bāck points, ‘Aristotle seems to think that he has a single, consistent theory.’ The sense of saying or speaking as the root sense of rhema makes the relation between predication (saying something of something) and verb more interesting. The use of rhema in the sense of a long expression approves this. In Plato’s work (399ac) where Socrates claims that the name anthropos derives from anthron ha opopen (‘he who examines what he has seen’) we have an onoma from, or in place of, a rhema. 1) Subject The subject (ὑποκειμένον) is that of which another term is said or predicated. Aristotle’s own definition is of a much more philosophical value: ‘By subject I mean that which is expressed by an affirmative term (λέγω δὲ ὑποκείμενον τὸ κάταφάσει δηλούμενον).’ (Met., K, 1067b18) Throughout Aristotle’s work, three kinds of subjects can be found: possible, prime and absolute subject. a) Possible subject Those things that can take the position of a subject in a predication we call possible subjects, no matter they can or cannot take the position of predicate in any predication. All terms except the ultimate predicates are possible subjects because they can take the position of subject. b) Prime subject Those that in any predication can only take the position of a subject and not the position of a predicate are prime subjects. (Cat., 5, 3a36-b2; Met., Z, 1028b36-1029a1) This is the truest sense of subject and belongs only to substances. (Met., Z, 1029a1-2) In fact, ‘that which is not predicated of a subject, but of which all else is predicated’ is a substance. (Met., Z, 1029a7-9) In Categories, besides primary substances (Cat., 2, 1b3-6), individual qualities are also said not to be able to be said of anything else. (Cat., 2, 1a23-29) Aristotle’s examples are a certain ‘knowledge-of-grammar’ (τὶς γράμματικὴ) and ‘an individual white’ (τὸ τὶ λευκὸν). Thus, although substances are indeed in the truest sense individuals and, thereby, in the truest sense primary subjects, other individuals can take the position of subject as well. c) Absolute subject While substances are prime subjects of all other things, there is still something of which substances can be predicated and this predication is not an accidental predication: matter. (Met., Z, 1029a21-24) This predication is, indeed, the predication of a ‘form or this’ on matter and material substance. (Met., Θ, 1049a34-36) The only thing that is absolutely a subject, therefore, and can be a predicate is prime matter (πρώτη ὓλη). (Met., Θ, 1049a24-27) d) Subject and substance The most important thing in being a substance is being a subject: ‘It is because the primary substances are subjects for all the other things and all the other things are predicated of them or are in them, that they are called substances most of all.’ (Cat., 5, 2b15-17) And what is nearer to this position is more a substance as a species is more a substance than a genus.’ (Cat., 5, 2b7-8) e) Primary versus accidental subject A subject is a primary subject in a predication when the predicate is predicated of it as itself. In such a case, the subject is the subject of the predicate qua itself and not qua something else. A subject, on the one hand, is an accidental subject when it is not the primary subject of the predicate that is predicated on it. It means that a subject is an accidental subject when the predicate is predicated of it not qua itself but qua something else. An accidental subject is, therefore, anything other than a substance. 2) Predicate as universal It is evident from our discussion of kinds of subjects that except matter, primary substances (if we ignore both accidental predication and cases of absolute subjects) and other individuals, everything else can take the position of a predicate. Since primary substances are individuals, it results that everything except matter and individuals are capable to take the position of predicate. The immediate consequence of this is that the predicate must be a universal. When individuals cannot take the position of predicate, this position cannot be taken by any particular. Therefore, only universals can be predicated of others. Moreover, albeit universals can be a simple subject (for another universal), they are not prime subjects. The closeness of universal and predicate is to the extent that Aristotle differentiates universal from subject. (Met., Θ, 1049a27-30) 3) Categories or classes of predicates Aristotle distinguishes ten highest classes into one of which each predicate must necessarily fall: substance (or what a thing is), quality, quantity, relation, place, time, position, state, activity and passivity. (Cat., 4, 1b25-27; To., I, 9, 103b20- ; PsA., A, 22, 83b13-23) The substance counted among predicates must refer to secondary and not primary substances not only because Aristotle insists that primary substances cannot be predicated but also from his own examples of the category of substance: man and animal. (To., I, 9, 103b25) However, if a predicate be asserted of itself or its genus be asserted of it, the predicate signifies substance or what is; but if ‘one kind of predicate is asserted of another kind,’ it signifies one of the other nines. (To., I, 9, 103b30) These categories are so comprehensive that no predicate can remain outside them so that even non-being has as many senses as categories. (Met., M, 1089a26-30) a) That whether Aristotle’s categories are merely linguistic or fundamentally ontological is a so much controversial dispute. Some like G. E. R. Lloyd believe that ‘categories are primarily intended as a classification of reality … rather than of the signifying terms themselves.’ b) Although Aristotle’s categories have been historically regarded as a classification of predications, there are some recent commentators like Jonathan Barnes that think it is classifying predicates and not predications. 4) Kinds of predicates In his introduction of Categories, as J. W. Thorp truly points out , Aristotle distinguishes between the category of substance and the other categories using μὲν ... δὲ construction. This construction illustrates that beside tenfold classification of categories, there is an even more crucial differentiation between two kinds of predicates: substance or what is on the one hand and the other nine ones on the other hand: the distinction between what is predicated of the subject as what it is and what is predicated of it as an accident. Therefore, we have three kinds of classification - a twofold, a fourfold and a tenfold-complicatedly classifying the same thing, viz. the predicate. Predicates can be divided also to four kinds: property, definition, genus and accident. (To., I, 4, 101b11-20) A property is that predicate that is convertible with its subject and does not signify its essence. A definition is that predicate that is convertible with its subject and signifies its essence. It is a genus if it is not predicated convertibly and is contained in the definition of its subject. And it is an accident if it is neither convertible nor contained in the definition of its subject. (To., I, 8, ^103b3) All of these four kinds are among categories. (To., I, 9, 103b20) It seems that there might be some kind of relation between the twofold and the fourfold distinction: whereas genus and definition are predicated as what it is, accidents are not so predicated. There seems to be some rules that determine to each of these four kinds each predicate belongs. At To., IV, 123b30ff. Aristotle asserts: ‘If B has a contrary and A does not, then B does not belong to A as its genus.’ There is a dispute around per se accidents (τὰ καθ’ αὑτὰ συμβεβηκότα) (Topics., 102a18) whether they must be regarded as either of the four kinds or as a fifth kind. Barnes (1970) argued that they ‘do not fit at all neatly into the fourfold classification.’ He argues that based on the definition of accidents at A, 5, 102b4-5, they must be accidents but based on another definition, A, 5, 102b6-7, they cannot be accidents. He also defends the view that they are not properties. Barnes concludes: ‘This shows that the two definitions are not equivalent, and hence that the ‘predicables’ are not well-defined.’ Demetris J. Hadgopoulos defends the view that the two definitions of accidents are equivalent and per se accidents are properties. 5) Five types of predications We have five kinds of predications based on our division of subjects and our discussion of predicates: simple, primary (itself divided to substantial and accident), accidental (itself divided to primary and secondary), aoincidental and absolute predication. a) Simple predication. This is a predication in which a universal is predicated of either a particular or a universal subject. This sense of predication includes all other senses except the first kind of accidental predication. b) Primary predication. This is a predication in which a universal is predicated of a primary subject, namely a substance. A primary predication is of two kinds: i) Substantial predication. A primary predication in which the predicate is part of, or is included in, the definition of the subject. The universal that is the predicate here is the definition or the genus or the species or the diferentia of the subject. It is this predication that Aristotle calls a unity: ‘A statement may be called a unity … because it exhibits a single predicate as inhering not accidentally in a single subject.’ (PsA., B, 10, 93b35-37) It is only substantial predicates that can be predicated of each other: ‘Predicates which are not substantial are not predicated of one another.’ (PsA., A, 22, 83b18-19) Aristotle defines a substantial predication also in another way. A predication in which a higher genus is predicated on a lower genus, species, a substance or an individual, (or a species is predicated on an individual) is a substantial predication. Therefore, a substantial predication is a predication in a series that has individuals on one of its ends and a general category on its other end. In fact, only substantial predicates can be predicated of one another. (PsA., A, 22, 83b17-19) This series cannot be an infinite series because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) -/- ii) Accident predication. A primary predication in which the predicate is not part of, or is not included in, the definition of its subject. The universal that is the predicate here is the property or the accident of the subject. c) Accidental predication. This is a predication in which the subject is not a primary subject and its predicate is a substance. This predication is of two kinds: i) Primary accidental predication. This is a predication in which an accident is predicated of substance. Such a predication can go ad infinitum, which is inferable from Aristotle’s assertion that the secondary accidental predication cannot go ad infinitum. ii) Secondary accidental predication. It is a predication in which an accident is predicated of another accident. Such a predication, Aristotle asserts, cannot go ad infinitum because even more than two accidents cannot be combined. Now what is the meaning of Aristotle’s assertion that we cannot continue this ad infinitum? Does it mean that we cannot continue the predication ‘The musician is white’ and say ‘The white is Athenian?’ But why not? Or maybe he means that by adding any predication, we are still in a condition of predicating two accidents of a substance on each other. -/- As primary subjects, substances can also take the position of predicate though not essentially but accidentally. In propositions like ‘the white is a log’ or ‘That big thing is a log’ we observe substance taking the position of predicate but this is only accidentally: ‘When I affirm ‘the white is a log,’ I mean that something which happens to be white is a log- not that white is the subject in which log inheres (οὐχ ὡς τὸ ὑποκείμενον τῷ ξύλῳ τὸ λευκόν ἐστι), for it was not qua white or qua a species of white that the white (thing) came to be a log (οὔτε λευκὸν ὄν οὔθ᾿ ὃπερ λευκόν τι ἐγἐνετο ξύλον), and the white (thing) is consequently not a log except incidentally.’ (PsA., 22, 83a3-9) Aristotle compares this accidental use of substance in the position of predicate with the substantial use of it in the place of a subject: ‘On the other hand, when I affirm ‘the log is white,’ I do not mean that something else, which happens to be a log, is white (οὐχ ὃτι ἓτερόν τί ἐστι λευκόν, ἐκείνῳ δὲ συμβέβηκε ξύλῳ εἶναι), (as I should if I said ‘the musician is white,’ which would mean ‘The man who happens also to be a musician is white’); on the contrary, log is here the subject- the subject which actually came to be white, and did so qua wood or qua a species of wood and qua nothing else.’ (PsA., 22, 83a8-14) Aristotle asks us not to call propositions like ‘The white is a log’ a predication at all or at least call them accidental predication instead of simple (ἁπλως) predication. (PsA., A, 22, 83a14-17) An accidental predication, in which we have a substance in the place of predicate, is different from an essential predication in that while the subject of an accidental predication is said to be the predicate not by itself but as something different with which it coincides, the subject of an essential predicate is said to be the predicate by itself and not because it is something else: ‘Since there are attributes which are predicated of a subject essentially and not accidentally- not, that is, in the sense in which we say ‘That white (thing) is a man,’ which is not the same mode of predication as when we say ‘The man is white’: the man is white not because he is something else but because he is man, but the white is man because ‘being white’ coincides with ‘humanity’ within one subject. Therefore, there are terms such as are essentially subjects of predicates. (PsA., A, 19, 81a24-29) This capability of ‘non-essentially and only accidentally’ being a subject does belong, in fact, to all sensible things. (PsA., A, 27a32-36) d) Coincidental predication. this is a predication in which none of the subject and predicate are a substance or an individual. In this predication, one of the accidents of a substance or individual is predicated of one of the other accidentals of the same substance or individual. For example, when it is said that ‘The white is musical,’ there is an individual, say Socrates, for which both of white and musical are accidents. e) Absolute predication. This is a predication in which a form or a substance is predicated of a matter or a material substance. Some commentators like Loux and Lewis regarded this predication as close to accident predication, both based on inherence. As R.M. Dancy points out, these predications make Aristotle’s theory of predication immanentist: not only accident predications are explained by the immanence of accidents in substances, some of the substantial predications, which were not explained in Categories, are also explained by the immanence of form in matter. It is interesting that in this kind of predication, it is the predicate and not the subject, which is in the strictest sense substance. As the central books of Metaphysics claim, the form is the substance. Thus, in this predication, substance gets away from the sense of ὑποκείμενον. Corkum mentiones 68a19 as the only instance where Aristotle explicitly claims that a term may be predicated of itself, a passage that is, in Corkum’s view, problematic. 6) Demonstrable predicates Those predicates are demonstrable that are so related to their subjects that there are other predicates prior to them predicable of their subjects (ἔτι δ᾿ ἄλλος, εἰ ὧν πρότερα ἄττα κατηγορεῖται). (PsA., A, 22, 83b32-34) 7) Series of predications Since it is possible for a predicate to be itself the subject of another predication, we can have a series of predications in which the predicate of a predication is the subject of the next predication. This series has the following features: a) It has a limit (in number) (PsA., A, 22, 83b14-16) on the side of subjects: there are subjects that cannot themselves be predicated (PsA., A, 27, 43a39-41), which are, as we noted, prime subjects: particulars, i.e. prime substances and other individuals. (PsA., A, 19-22) Aristotle calls them ultimate (ὓστατον). (PsA., 21, 82a36-b1) b) It has a limit (in number of kinds) (PsA., A, 22, 83b14-16) also on the side of predicates: there must be predicates that cannot be subjects. (PsA., A, 19-22; PsA., A, 27, 43a36-39) Aristotle calls them primary (πρῶτον). (PsA., A, 21, 82b1-4) These are the highest categories or the highest genera of categories. (PsA., A, 22, 83b14-16) c) The series has an escalating shape from mere subjects at its downside to mere predicates at its upside. It is Aristotle himself whos uses the words up and down in this sense. (e.g. PsA., A, 22, 83b2-3) d) The predications that lie between lowest and highest ones must be finite in number. (PsA., A, 19-22 especially: 20, 82a21-35) These have subjects and predicates, each capable of both of the roles of being subject and being predicated. A result of this fitness is that neither demonstration can go to infinity nor everything is demonstrable, the two points Aristotle always insist on. e) The upward side includes the more universal ones and the downward the more particular ones. (PsA., 20, 82a21-23) f) It follows from the above features that ‘neither the ascending nor the descending series of predications … are infinite.’ (PsA., A, 22, 83b24-25) g) Reciprocation and convertibility. Except in case of terms (i.e. subjects and predicates) that are at each of the ends of series of predications, namely ultimates and primaries, it is possible to reciprocate (ἀντιστρέφειν) terms and convert the predication. (PsA., A, 19, 82a15-20) h) Antipredication. Antipredication means that in a predication (S is P), the subject becomes the predicate of its predicate (P is S) in the same category its predicate was predicated on it. For example, if P is in the category of quality, antipredication means that S be predicated of P in the category of quality. In other words, P is a quality of S and S is a quality of P. Aristotle rejects this. (PsA., A, 22, 83a36-b3) i) Self-predication versus other-predication. Aristotle distinguishes between a predication in which a term is said of itself and a predication in which a term is said of another. (Phy., Δ, 2, 209a31-33) j) Predicablity (Cat., 5, 3a36-b2): 1) Primary substances and individuals are not predicable. 2) Secondary substances are of two kinds: genus and species i) Genus is predicable able both of the species and of the individuals. ii) Species is predicable of the individual. 3) Differentiae are predicable both of the species and of the individuals. 8) Predication as classification a) Richard Patterson believes that Aristotle’s so repeated construction using hoper (estin A hoper B) in Topics (120a23 sq., 122b19, 26sq., 123a, 124a18, 125a29, 126a21, 128a35. Also in Posterior Analytics (83a24-30) (Brunschwig’s list. ‘expresses the fact that A is a kind of B (esti A B tis), that A is a species of the genus B.’ 9) Universal predication Aristotle defines universal predication (κατὰ παντὸς κατηγορεῖσθαι) as such: ‘wherever no instance of the subject (τῶν τοῦ ὑποκειμέμνου) can be found of which the other term cannot be asserted.’ (PrA., A, 24b27-29) In this predication, the subject is included in another as in a whole (ἐν ὃλῳ εἶναι) and the predicate is predicated of all of the subject (κατὰ παντὸς κατηγορεῖσθαι). (PrA., A, 24b26-27) Attach another discussion we had about ἐν ὃλῳ here. 10) Quantity of predication A predication, truly stated, has a quantity, which is the number of objects under the name of the subject of which the predicate is predicated. The quantity of subject can be stated in four ways: a. Indefinite: when the predicate belongs or does not belong to the subject without any mark to show to haw many of the particulars under the name of the subject it does or does not belong. E.g. ‘Man is white’; ‘Man is not white.’ (PrA., A, 24a20; OI., I, 7, 17b8-12) b. Universal quantity: When the predicate belongs to all or none of the subject. E.g. ‘Every man is animal’; ‘No man is animal.’ (PrA., A, 24a18-19; OI., I, 7, 17b5-6) The contrary of a predication of a universal quality is a predication of a universal quality. E.g. the contrary of ‘Every man is white’ is ‘No man is white.’ (OI., I, 7, 17b20-23) c. Particular quantity: When the predicate belongs (or does not belong) to some of the subject. E.g. ‘Some men are white’; ‘Some men are not white.’ (PrA., A, 24a19-20) d. Single quantity: when the subject is a proper name of only one object. E.g. ‘Socrates is white’; ‘Socrates is not white.’ The contrary of this predication is of a single quantity: ‘Socrates is not white.’ (OI., I, 7, 17b38-18a4) 11) Convertibility of predication. Some predications are convertible, that is, it is possible to change the place of subject and predicate in a true proposition so that the converted proposition remains true. This is supposed to mean that given the truth of a predication, the truth of the converted predication is inferable. The convert form of a predication depends on its quantity. a. Indefinite quantity: This predication has no strictly true convert because its quantity is not stated. b. Universal quantity: It can be converted in two ways: i) A negative universal can be converted to a negative universal in which the terms are changed. E.g. ‘No pleasure is good’ can be converted to ‘No good is pleasure.’ (PrA., A, 2, 25a5-8 and a14-19) ii) An affirmative universal can be converted to an affirmative particular in which the terms are changed. E.g. ‘Every pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a7-9) c. Particular quantity: If it is negative, it cannot be converted but if it is affirmative, it can be converted to an affirmative predication with particular quantity. E.g. ‘Some pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a10-13 and a20-24) d. Single quantity: It cannot be converted. 12) Characteristics of relations between subject and predicate 1. A predicate is of a wider range than its subject. It is based on this fact that Aristotle: a) Prevents individuals to be predicate because there is nothing of which an individual be of a wider range. In other words, it is due to the fact that since an individual is only ‘one particular’ thing and, thus, cannot be of a wider extent than anything that Aristotle prevents them of being a predicate. Matthews, however, thinks we cannot use Socrates, a substance and an individual, in the place of predicate and say it of Socrates because ‘Socrates does not classify Socrates: it names him.’ b) Prevents differentia, species and things under species to be predicated of genus. (To., Z, 6, 144a27-) c) Prevents the species and the things under it to be predicated of the differentia. (To., Z, 6, 144b1-4) d) Also about the effect because it is wider than its subject. (PsA., B, 17, 99a) e) Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 2. The predicate of a predicate of a subject will be predicated of the subject too: ‘whenever one thing is predicated of another as of a subject, all things said of what is predicated will be said of the subject too.’ (Cat., 3, 1b10-15) In fact, it is due to its predication of the subject that it is predicated of its predicate. (Cat., 5, 2a36-b1) Moreover, what is not predicated of the predicate of a subject cannot be predicated of it as well. (PrA., A, 27, 43b22-27) Thus, what, for example, is not predicated of animal, cannot be predicated of man. 3. The predicate of a subject can be predicated of its predicates as well. (Cat., 5, 3a1-6) For example, you call the individual man grammatical and, thence, you call both a man and an animal grammatical. Nonetheless, the predicate of a subject belongs to it more properly than to its higher predicates. (PrA., A, 27, 43a27-32) 4. It is only the subject that can be distributed and not the predicate. (PrA., A, 27, 43b16-22; OI, I, 7, 17b12-16) Therefore, we can say e.g. ‘Every man is animal’ but we cannot say ‘Every man is every animal.’ 5. It is the reason of the relation between subjects and predicates, that is the reason of predication, which is the subject of inquiry. (Met., Z, 1041a20-24) In other words, since it is a meaningless inquiry to ask why a thing is itself (Met., Z, 1041a14-15), the only remaining meaningful inquiry is to ask why something is something else, i.e. to ask about the reason of predication. 6. A subject cannot categorize its predicate in the same category in which it is categorized by it. If e.g. A is a quality of B, B cannot be a quality of A. Therefore, there is no reciprocation in the same category. (PsA., A, 22, 83a36-39) 13) Characteristics of series of predications 1. A series of secondary accidental predication cannot go ad infinitum for not even more than two terms can be comnbined. For an accident is not an accident of an accident, unless it be because both are accidents of the same subject. (Met., Γ, 1007b1-4) 2. Infinite series cannot be traversed in thought. (PsA., A, 22, 83b6-7) 3. The predications of genera on each other must be ended and cannot go to infinity because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) Therefore, a series of predication of genera on each other must be limited on both sides. There must be an upward limit in general categories as well as a downward limit in individual because they cannot be predicated of others. Whatever lies between these limits can both be predicated of others and others be predicated of them. (PrA., A, 27, 43a36-43) 4. The order of predicates matters: it makes a difference whether the series be ABC or BAC. (PsA., B, 13, 96b25-32) . (shrink)

For Aristotle, a verb (ῥῆμα) is that which a) besides a proper meaning b) carry with it the notion of time; c) its parts do not significate separately and d) is a sign of something said of something else (OI ., 2, 16b6-8). This comprehensive definition distinguishes verbs from both nouns (since they do not carry the notion of time with themselves) and sentences or co-positings of words (since they have parts with independent meanings). Based on this definition, a verb (...) signifies three things: i) A main or proper meaning which is the meaning of the verb, e.g. running or sleeping; ii) time and iii) co-positing (or positing away). Although it is not asserted that one part is responsible for prossignification of time, its responsibility is given to co-positing-is. This might seem to be in contradiction with (c). However, it seems that (c) cannot include prossignifications of time and co-positing. What Aristotle means in (c) is just that parts of a verb cannot separately signify a meaning. Therefore, it is better to distinguish between signification, which is about meaning and prossignification, which is generally about anything but meaning. Hence, while the parts of the verb cannot have separate signification, they can have separate prossignification. Aristotle distinguishes between different kinds of verbs: 1) Definite verbs: those verbs that have definite nouns as their verb-name. 2) Indefinite verbs: those verbs that do not have definite nouns as their verb-name (OI., I, 3, 16b12-14; 10, 19b10-11). Aristotle’s examples of an indefinite verb are ‘is not-healthy’ and ‘is not-ill’. 3) Tenses of verbs: ‘was healthy’ and ‘will be healthy’ are tenses of the verb ‘is healthy’ because a verb indicates only the present time (OI., I, 3, 16b16-18). For Aristotle, almost all verbs either are composed of or can be analyzed to parts. An example of the former is ‘is healthy’ and of the latter is ‘runs,’ which can be analyzed to two parts: ‘is running.’ (OI., I, 10, 20a3-5; II, 12, 21b5-8). Thus, for him a verb either includes or can be analyzed to two parts: a part that includes the meaning and is, or is shown, by a name we call ‘verb-name’ (a), and a part that includes the co-positing of that meaning with the subject of the verb, which is or is shown by ‘is’, which we call ‘co-positing-is’ (d). The verb ‘runs’, for example, can be analyzed to a verb-name, ‘running’ and a co-positing-is (Note: Aristotle distinguishes between the verb ‘is’ in the sense of ‘exists’ and the co-positing ‘is’. Whereas in the former ‘is’ is a verb, having a signification of its own, which is ‘existing’, besides signifying time (OI., I, 10, 19b12-19), the ‘is’ in the latter is not a verb (Aristotle calls it ‘incidental’ is (OI., II, 11, 21a25-28) and is not sure whether to call it a verb or a noun (OI., I, 10, 19b22-24)) because it does not signify existing and, thus, need something else to be added. This something else is the meaning we are discussing. Therefore, it is only after the addition of the meaning to this ‘is’ that we have a verb. This is, I believe, the sense of the so much controversial text of OI, I, 3, 16b22-25: ‘For being and not being signify the existence of a thing not τὸ ὄν εἴπῃς αὐτὸ καθ᾿ ἑαυτὸ ψιλόν. For it does not indicate anything but prossignifies some co-positing (σύνθεσίν). Aristotle’s words at 16b24 about co-positing-is that it ‘prossignifies some co-positing’ (προσσημαίνει δὲ σύνθεσίν τινα) is an explicit evidence that she cannot be right.) and is not a concept apart from the things co-posited (συγκειμένων).’ This text, however, is so controversial. Originating from Ammonius and Boethius after him, who used the verb ‘copular’ for ‘est’ and Abelard, some commentators like Weidemann, Oehler, Francisco Ademollo take ‘is’ as having a copulative function. Allen Bāck notes that Aristotle does not separate off ‘is’ from other verbs as a mere copula but takes it ‘as the basic, paradigmatic form of the verb.’ He believes that in his interpretation of Aristotle (in: OI., 55, 19-24) Ammonius also took it as the paradigm for all verbs. Francisco Ademollo criticizes the standard view of taking ‘is’ as copula here and is inclined to take it as essential. David Ross thinks that although Aristotle is aware of the distinction between the existential and the copulative is, he has as yet no very clear idea of their relation. Although Jonathan Barnes agrees that the copula is surely present in de Interpretation, he thinks that at 16b22-25 Aristotle ought to be talking of existential εἶναι. Marie De Rijk Lambartus believes that there is no copula in Aristotle’s philosophical analysis of the elementary sentences and it is a mere corpus alienum in Aristotle’s semantics. Allan Bȃck believes that the copulative theory is not Aristotle’s and ‘may have come to dominate as a result of the neoPlatonizing interpretations of Aristotle’s works by Proclus, Ammonius and Boethius, which is the sign of the relation of running with a subject, e.g. Socrates in ‘Socrates runs’. Nonetheless, none of these parts significate separately. This is supposed to mean that a verb is a single signification. However, it is evident that each of the parts can signify if we use them in a different context as both of ‘running’ and ‘is’ in ‘runs’ or both of ‘is’ and ‘healthy’ in ‘is healthy’ can do. It might seem now that the first mentioned definition of verb might be contradictory. While Aristotle asserts that the parts of verb do not signify separately (d), he considers two other significations for a verb: the signification of time and relation. As it is obvious, both of these significations are done by one part of the verb, that is the co-positing-is. Therefore, in a verb e.g. ‘is healthy’ we have three significations: the significations of meaning, time and co-positing. Aristotle uses prossignification both for time (προσσημαῖνον χρόνον, OI., 2, 16b4) and co-positing (προσσημαίνει δἑ σύνθεσὶν τινα, OI, I, 3, 16b23-24). Since the copula part of a verb has no signification and does not form any conception, a verb is indeed its verb-name. Thus we see Aristotle saying that ‘verbs are in and by themselves names and signify something’ and like names, he adds, they arrest the hearer’s mind and fix his attention (OI., I, 3, 16b19-22). We can conclude then that verbs are names said of something else and carrying time. In other words, verbs are words that though have one single signification, as names have, they also have two other prossignifications: time and relation. (shrink)

Meaning in life is too important not to study systematically, but doing so is made difficult by conceptual indeterminacy. An approach to meaning that is promising but, indeed, conceptually vague is Jonathan Haidt’s ‘cross-level coherence’ account. In order to remove the vagueness, I propose a concept of ‘good fit’ that a) captures central aspects of meaning as it is discussed in the literature; b) brings the subject of meaning under the survey of the dynamicist or ‘embodied-embedded’ philosophy of cognition; (...) and c) allows the theoretical discussion on meaning to become more focused and systematic. The article addresses two apparent problems with the idea of ‘good fit,’ namely the fact that both challenges and relations of an agent with the outside world are central to meaning. It is finally pointed out which implications adopting the concept of ‘good fit’ instead of ‘meaning’ would have. (shrink)

Aristotle says that ὑπαρχειν has as many senses as ‘to be true’ (PrA. , A, 36, 48b2-9) and as many ways as there are different categories. (PrA., A, 37, 49a6-9) This may mean that for every ‘is’ there is a ὑπαρχειν. Τhe reason is that Aristotle uses ὑπαρχειν in converse direction of ‘is’. The equal statement of ‘A is B’ with ὑπαρχειν is ‘B ὑπαρχει to A.’ Allen Bāck points to the difference between the use of the verb with dative (...) case and its use with a subject alone in Greek language. When it is used with the dative, it retains its basic meaning, that is, ‘be already present’ or ‘exist really.’ ‘So to say that P belongs to S is to say that P exists in S, or, if you like, that P has its being in S.’ He believes that Aristotle uses this construction to insist that primary substances alone are the fundamental being and all other things only are ‘in’ substances. Thus, when the verb is used with the dative, it expresses dependent substance relation. But when it is used with a subject alone, e.g. in ‘S ὑπάρχει,’ it expresses that the subject really exists. (OI., 17a24 and 17b2) Thus, while it is the subject which is said to be the predicate, it is the predicate which ὑπάρχει to the subject. The formula of ‘τὸ Α ὑπάρχει τῷ Β’ is equivalent to ‘τὸ Β ἐστι Α.’ He uses the word for the predication of a category on substance (e.g. Met., α, 993b24-25; Met., Z, 1029a15-16; Cat., 5, 3b24-25), the predication of secondary substance on primary substance (e.g. Met., Z, 1038b21-23; Cat., 5, 2a14-19), the predication of primary substance on nothing else but itself (e.g. Met., Z, 1040b23-24), the belonging of a verb to the subject, the belonging of axioms to a single science (Met., 1005a22-23) , the belonging of PNC to all things that are (Met., IV, 3) , in the sense of really existing (Cael. 297b22, Met., 1041b4. Cf. B503, 125-126) or merely in the sense of the predication of a predicate on a subject (e.g. OI., I, 5, 17a22-24) and especially and much more repeatedly than anywhere else in his discussion of syllogism. (e.g. PrA., A, 36, 48a40-b2; PrA., B, 22, 67b28-30; PrA., A, 24a26-28) It is also used in some related senses like mere belonging (e.g. Met., A, 989a10-14; K, 1060a9-10) or to be there. (So., B, 5, 417b23-26) Some of its derived forms are also used by Aristotle. For example, ἐνυπαρχον in the sense of the thing that is ‘in’ something; (e.g. Met., A, 991a13-16; Met., Z, 1038b29-33 and 1039a3-5) ὑπερέχον in the sense of that which contains and ὑπερεχόμενον in the sense of that which is contained in something else. (e.g. Met., Δ, 1020b26-28) In a sense, the extent of the application of ὑπαρχειν is wider than ‘is’ since it is not restricted to the nominative form in which ‘is’ is used but is applicable to other cases as well: ‘For ‘That does not belong to this’ does not always mean that ‘This is not that’ but sometimes that ‘this is not of that’ or ‘for that.’ (PsA., A, 36, 48b28-33) Allen Bāck (B503, 124) points that in the Prior Analytics Aristotle uses ‘ὑπάρχει τῷ’ and ‘κατηγορεῖσθαι κατά’ interchangeably. (e.g. at 25b37-26a4) Referring to its converse construction in respect of μετέχει (if A belongs to B, then B participates in A) as a probable reason that it may have Platonist foundations. But the question is: why does Aristotle uses this construction (B belongs to A) instead of simply saying A is B? Alexander of Aphrodisias (Apr 54.21-29) wonders why Aristotle had to adhere to such artificial language, entirely unnatural for ordinary speakers of Greek. As Jonathan Barnes points out, all the three formulas of ‘τὸ Α ὑπάρχει τῷ Β,’ ‘τὸ Α κατηγορεῖται κατὰ τοῦ Β’ and ‘τὸ Α λέγεται κατὰ τοῦ Β’ are artificial in the sense that no Greek who wanted to say that pleasure was good would normally have expressed himself by way of any of them.’ Bāck thinks Aristotle may have used it ‘to stress the primacy of primary substances as the ultimate subjects.’ He also mentions the probability that it may be to emphasize that the terms are being coupled in predication without any existence condition, a suggestion he is not himself inclined with. Robin Smith notes for Aristotle that ‘belonging to’ construction is wider than ‘predicated of’ construction because it can be used for cases that cannot easily be treated as categorical sentences. While predication is restricted to cases in which the subject term is in the nominative case, belonging can indicate, as he quotes Mignucci (480-481), ‘any possible grammatical construction for a predicative relation’ . (shrink)

What happens to the inner light of consciousness with the death of the individual body and brain? Reductive materialism assumes it simply fades to black. Others think of consciousness as indicating a continuation of self, a transformation, an awakening or even alternatives based on the quality of life experience. In this issue, speculation drawn from theoretic research are presented. -/- Table of Contents Epigraph: From “The Immortal”, Jorge Luis Borges iii Editor’s Introduction: I Killed a Squirrel the Other Day, Gregory (...) M. Nixon iv-xi Research Essays The Tilde Fallacy and Reincarnation: Variations on a "Skeptical" Argument Teed Rockwell 862-881 Death, Consciousness, and Phenomenology, Steve Bindeman 882-899 The Idealist View of Consciousness After Death, Bernardo Kastrup 900-909 Consciousness, a Cosmic Phenomenon—A Hypothesis, Eva Déli 910-930 The Theory of a Natural Afterlife: A Newfound, Real Possibility for What Awaits Us at Death, Bryon K. Ehlmann 931-950 Near-Death Cases Desegregating Non-Locality/Disembodiment via Quantum Mediated Consciousness: An Extended Version of the Cell-Soul Pathway, Contzen Pereira & J Shashi Kiran Reddy 951-968 On the Possible Existence of Quantum Consciousness After Brain Death, Massimo Pregnolato & Alfredo Pereira Jr. 969-991 Science and Postmortem Survival, Edward F. Kelly 992-1011 Explorations ISS Theory: Cosmic Consciousness, Self, and Life Beyond Death in a Hyperdimensional Physics, Chris H. Hardy 1012-1035 Does the Consciousness End, Remain Awake, or Transform After Death? Radivoj Stankovich (with Micho Durdevich) 1036-1050 Big Bang Spirituality, Life, and Death, Ken Bausch 1051-1063 Death, Consciousness and the Quantum Paradigm, Ronald Peter Glasberg 1064-1077 Living With Limits: The Continuum of Consciousness, Donald Brackett 1078-1098 Mysticism, Consciousness, Death, Mike Sosteric 1099-1118 What Dies? Eternalism and the Afterlife in William James, Jonathan Bricklin 1119-1140 Theories of Consciousness and Death: Does Consciousness End, Continue, Awaken, or Transform When the Body Dies? Roger Cook 1141-1153 It’s the Other Way Around: Matter is a Form of Consciousness and Death is the End of the Illusion of Life in the World, James P. Kowall & Pradeep B. Deshpande 1154-1208 Statements A Feminine Vision for the World Consciousness, & a New Outrageous Ontology, Lorna Green 1209-1217 The Mask of Eternity: The Quest for Immortality and the Afterlife, Iona Miller 1218-1228 Are We Really “such stuff as dreams are made on”? Chris Nunn 1229-1225 Is the Afterlife a Non-Question? (Let's Hope Not), Deepak Chopra 1226-1230 Life After Death? An Improbable Essay, Stuart Kauffman 1231-1236. (shrink)

In this article, we propose the Fair Priority Model for COVID-19 vaccine distribution, and emphasize three fundamental values we believe should be considered when distributing a COVID-19 vaccine among countries: Benefiting people and limiting harm, prioritizing the disadvantaged, and equal moral concern for all individuals. The Priority Model addresses these values by focusing on mitigating three types of harms caused by COVID-19: death and permanent organ damage, indirect health consequences, such as health care system strain and stress, as well as (...) economic destruction. It proposes proceeding in three phases: the first addresses premature death, the second long-term health issues and economic harms, and the third aims to contain viral transmission fully and restore pre-pandemic activity. -/- To those who may deem an ethical framework irrelevant because of the belief that many countries will pursue "vaccine nationalism," we argue such a framework still has broad relevance. Reasonable national partiality would permit countries to focus on vaccine distribution within their borders up until the rate of transmission is below 1, at which point there would not be sufficient vaccine-preventable harm to justify retaining a vaccine. When a government reaches the limit of national partiality, it should release vaccines for other countries. -/- We also argue against two other recent proposals. Distributing a vaccine proportional to a country's population mistakenly assumes that equality requires treating differently situated countries identically. Prioritizing countries according to the number of front-line health care workers, the proportion of the population over 65, and the number of people with comorbidities within each country may exacerbate disadvantage and end up giving the vaccine in large part to wealthy nations. (shrink)

Would compulsory treatment or vaccination for Covid-19 be justified? In England, there would be significant legal barriers to it. However, we offer a conditional ethical argument in favour of allowing compulsory treatment and vaccination, drawing on an ethical comparison with external constraints—such as quarantine, isolation and ‘lockdown’—that have already been authorised to control the pandemic. We argue that, if the permissive English approach to external constraints for Covid-19 has been justified, then there is a case for a similarly permissive approach (...) to compulsory medical interventions. (shrink)

This letter addresses the editorial decision to publish the article, “Research on group differences in intelligence: A defense of free inquiry” (Cofnas, 2020). Our letter points out several critical problems with Cofnas's article, which we believe should have either disqualified the manuscript upon submission or been addressed during the review process and resulted in substantial revisions.

I defend the following version of the ought-implies-can principle: (OIC) by virtue of conceptual necessity, an agent at a given time has an (objective, pro tanto) obligation to do only what the agent at that time has the ability and opportunity to do. In short, obligations correspond to ability plus opportunity. My argument has three premises: (1) obligations correspond to reasons for action; (2) reasons for action correspond to potential actions; (3) potential actions correspond to ability plus opportunity. In the (...) bulk of the paper I address six objections to OIC: three objections based on putative counterexamples, and three objections based on arguments to the effect that OIC conflicts with the is/ought thesis, the possibility of hard determinism, and the denial of the Principle of Alternate Possibilities. (shrink)

The problem of religious disagreement between epistemic peers is a potential threat to the epistemic justification of one’s theistic belief. In this paper, I develop a response to this problem which draws on the central epistemological thesis of skeptical theism concerning our inability to make proper judgements about God’s reasons for permitting evil. I suggest that this thesis may extend over to our judgements about God’s reasons for self-revealing, and that when it does so, it can enable theists to remain (...) steadfast amid disagreement with epistemic peers who hold a contrary theistic belief (i.e., atheistic belief). For if we’re unable to make proper judgements about God’s reasons for self-revealing, then for all we know, God has some reason for not revealing Himself to our apparent epistemic peer. Thus, their epistemic credentials needn’t provide reason to reduce one’s confidence to such a degree as to no longer uphold one’s theistic belief. (shrink)

A uniform theory of conditionals is one which compositionally captures the behavior of both indicative and subjunctive conditionals without positing ambiguities. This paper raises new problems for the closest thing to a uniform analysis in the literature (Stalnaker, Philosophia, 5, 269–286 (1975)) and develops a new theory which solves them. I also show that this new analysis provides an improved treatment of three phenomena (the import-export equivalence, reverse Sobel-sequences and disjunctive antecedents). While these results concern central issues in the study (...) of conditionals, broader themes in the philosophy of language and formal semantics are also engaged here. This new analysis exploits a dynamic conception of meaning where the meaning of a symbol is its potential to change an agent’s mental state (or the state of a conversation) rather than being the symbol’s content (e.g. the proposition it expresses). The analysis of conditionals is also built on the idea that the contrast between subjunctive and indicative conditionals parallels a contrast between revising and consistently extending some body of information. (shrink)

Moral options are permissions to do less than best, impartially speaking. In this paper, we investigate the challenge of reconciling moral options with the ideal of justifiability to each individual. We examine ex-post and ex-ante views of moral options and show how they might conflict with this ideal in single-choice and sequential-choice cases, respectively. We consider some ways of avoiding this conflict in sequential-choice cases, showing that they face significant problems.

Over the past two decades, Ginsburg and Jablonka have developed a novel approach to studying the evolutionary origins of consciousness: the Unlimited Associative Learning framework. The central idea is that there is a distinctive type of learning that can serve as a transition marker for the evolutionary transition from non-conscious to conscious life. The goal of this paper is to stimulate discussion of the framework by providing a primer on its key claims and a clear statement of its main empirical (...) predictions. (shrink)

This paper proposes a semantics for free choice permission that explains both the non-classical behavior of modals and disjunction in sentences used to grant permission, and their classical behavior under negation. It also explains why permissions can expire when new information comes in and why free choice arises even when modals scope under disjunction. On the proposed approach, deontic modals update preference orderings, and connectives operate on these updates rather than propositions. The success of this approach stems from its capacity (...) to capture the difference between expressing the preferences that give rise to permissions and conveying propositions about those preferences. (shrink)

We are addressing this letter to the editors of Philosophical Psychology after reading an article they decided to publish in the recent vol. 33, issue 1. The article is by Nathan Cofnas and is entitled “Research on group differences in intelligence: A defense of free inquiry” (2020). The purpose of our letter is not to invite Cofnas’s contribution into a broader dialogue, but to respectfully voice our concerns about the decision to publish the manuscript, which, in our opinion, fails to (...) meet a range of academic quality standards usually expected of academic publications. (shrink)

In this paper, we explore locative grounding harmony, according to which the location of the grounds mirrors the location of the grounded. We proceed in three stages. First, we clarify the notion of locative harmony and describe different locative harmony principles. Second, we offer two arguments for the claim that grounding between physically located entities obeys principles of locative harmony. Third, we consider and respond to a range of cases that seem to show that grounding relations between physically located entities (...) do not obey such principles. We conclude that grounding between such entities obeys locative harmony. (shrink)

Drawing on the SAGE minutes and other documents, I consider the wider lessons for norms of scientific advising that can be learned from the UK’s initial response to coronavirus in the period January-March 2020, when an initial strategy that planned to avoid total suppression of transmission was abruptly replaced by an aggressive suppression strategy. I introduce a distinction between “normatively light advice”, in which no specific policy option is recommended, and “normatively heavy advice” that does make an explicit recommendation. I (...) argue that, although scientific advisers should avoid normatively heavy advice in normal times in order to facilitate democratic accountability, this norm can be permissibly overridden in situations of grave emergency. SAGE’s major mistake in early 2020 was not that of endorsing a particular strategy, nor that of being insufficiently precautionary, but that of relying too heavily on a specific set of “reasonable worst-case” planning assumptions. I formulate some proposals that assign a more circumscribed role to “worst-case” thinking in emergency planning. In an epilogue, I consider what the implications of my proposals would have been for the UK’s response to the “second wave” of late 2020. (shrink)

Assertion plays a crucial dual role in Frege's conception of logic, a formal and a transcendental one. A recurrent complaint is that Frege's inclusion of the judgement-stroke in the Begriffsschrift is either in tension with his anti-psychologism or wholly superfluous. Assertion, the objection goes, is at best of merely psychological significance. In this paper, I defend Frege against the objection by giving reasons for recognising the central logical significance of assertion in both its formal and its transcendental role.

No existing conditional semantics captures the dual role of 'if' in embedded interrogatives — 'X wonders if p' — and conditionals. This paper presses the importance and extent of this challenge, linking it to cross-linguistic patterns and other phenomena involving conditionals. Among these other phenomena are conditionals with multiple 'if'-clauses in the antecedent — 'if p and if q, then r' — and relevance conditionals — 'if you are hungry, there is food in the cupboard'. Both phenomena are shown to (...) be problematic for existing analyses. Surprisingly, the decomposition of conditionals needed to capture the link with interrogatives provides a new analysis that captures all three phenomena. The model-theoretic semantics offered here relies on a dynamic conception of meaning and compositionality, a feature discussed throughout. (shrink)

As I will use the term, an object is a mereological sum of some things just in case those things compose it simply in virtue of existing. In the first half of this paper, I argue that there are no sums. The key premise for this conclusion relies on a constraint on what, in certain cases, it takes for something to ground, or metaphysically explain, something else. In the second half, I argue that in light of my argument against sums, (...) Universalism, which is perhaps the most widely accepted answer to the Special Composition Question, is false. (shrink)

Conscious states—state that there is something it is like to be in—seem both rich or full of detail and ineffable or hard to fully describe or recall. The problem of ineffability, in particular, is a longstanding issue in philosophy that partly motivates the explanatory gap: the belief that consciousness cannot be reduced to underlying physical processes. Here, we provide an information theoretic dynamical systems perspective on the richness and ineffability of consciousness. In our framework, the richness of conscious experience corresponds (...) to the amount of information in a conscious state and ineffability corresponds to the amount of information lost at different stages of processing. We describe how attractor dynamics in working memory would induce impoverished recollections of our original experiences, how the discrete symbolic nature of language is insufficient for describing the rich and high-dimensional structure of experiences, and how similarity in the cognitive function of two individuals relates to improved communicability of their experiences to each other. While our model may not settle all questions relating to the explanatory gap, it makes progress toward a fully physicalist explanation of the richness and ineffability of conscious experience—two important aspects that seem to be part of what makes qualitative character so puzzling. (shrink)

The late Robert Veatch, one of the United States’ founders of bioethics, never tired of reminding us that the paradigm-shifting contribution that bioethics made to patient care was to liberate patients out of the hands of doctors, who were traditionally seen to know best, even when they decidedly did not know best. It seems to us that with the advent of COVID-19, health policy has come full-circle on this. COVID-19 gave rise to a large number of purportedly “ethical” guidance documents (...) aiming to assist health care providers and practitioners with responding to the ethical challenges that might arise in their response to the pandemic. Ethics has two primary functions: provide clear action guidance, and provide clear action justification. The documents in question arguably reflect the ultimate policy triumph of bioethical “principlism”, and, perhaps surprisingly, as a corollary, the ultimate triumph of “doctor-knows-best”. (shrink)

I examine why Carnap ended his "The Overcoming of Metaphysics" with admiration for Nietzsche, and contextualize his admiration for Nietzsche within their shared commitment to 'modernism.' I show that Carnap's modernism helps explain his enthusiasm for symbolic logic and his attitude towards metaphysics. However, I also argue that Nietzsche's critique of metaphysics may also apply to Carnap's own distinction between what is essential to language and how language appears.

Christian List has recently constructed a novel formal framework for representing the relationship between free will and determinism. At its core is a distinction between physical and agential levels of description. List has argued that, since the consequence argument cannot be reconstructed within this framework, the consequence argument rests on a ‘category mistake’: an illicit conflation of the physical and agential levels. I show that an expanded version of List’s framework allows the construction of a cross-level consequence argument.

The process of cooperative problem solving can be divided into four stages. First, finding potential team members, then forming a team followed by constructing a plan for that team. Finally, the plan is executed by the team. Traditionally, very simple protocols like the Contract Net protocol are used for performing the first two stages of the process. In an open environment however, there can be discussion among the agents in order to form a team that can achieve the collective intention (...) of solving the problem. For these cases fixed protocols like contract net do not suffice. In this paper we present an alternative solution, using structured dialogues, with an emphasis on persuasion, that can be shown to lead to the required team formation. The dialogues are described formally using modal logics and speech acts. (shrink)

Jonathan Y. Tsou examines and defends positions on central issues in philosophy of psychiatry. The positions defended assume a naturalistic and realist perspective and are framed against skeptical perspectives on biological psychiatry. Issues addressed include the reality of mental disorders; mechanistic and disease explanations of abnormal behavior; definitions of mental disorder; natural and artificial kinds in psychiatry; biological essentialism and the projectability of psychiatric categories; looping effects and the stability of mental disorders; psychiatric classification; and the validity of the (...) DSM's diagnostic categories. The main argument defended by Tsou is that genuine mental disorders are biological kinds with harmful effects. This argument opposes the dogma that mental disorders are necessarily diseases that result from biological dysfunction. Tsou contends that the broader ideal of biological kinds offers a more promising and empirically ascertainable naturalistic standard for assessing the reality of mental disorders and the validity of psychiatric categories. (shrink)

The appearance of negative terms in quasiprobability representations of quantum theory is known to be inevitable, and, due to its equivalence with the onset of contextuality, of central interest in quantum computation and information. Until recently, however, nothing has been known about how much negativity is necessary in a quasiprobability representation. Zhu :120404, 2016) proved that the upper and lower bounds with respect to one type of negativity measure are saturated by quasiprobability representations which are in one-to-one correspondence with the (...) elusive symmetric informationally complete quantum measurements. We define a family of negativity measures which includes Zhu’s as a special case and consider another member of the family which we call “sum negativity.” We prove a sufficient condition for local maxima in sum negativity and find exact global maxima in dimensions 3 and 4. Notably, we find that Zhu’s result on the SICs does not generally extend to sum negativity, although the analogous result does hold in dimension 4. Finally, the Hoggar lines in dimension 8 make an appearance in a conjecture on sum negativity. (shrink)