As timely renovation of artificial ideology about authenticity of nature in proportion to contemporaneous historical background of remarkable highlight of microcosmic configuration of matter, “Homogenous Cosmos Originated from Unique Genesis” is innovative cosmos redefinition and thoroughly coherent PNT dynamics about universal existence & motion as spontaneous occurrence in the nature of essence of matter in a class by itself, which is radically extended from newly highlighted factuality that “discretionary particles in cosmos are mutually convertible” as lineal logic system based on (...) unique assumable precondition of Homogenous cosmos originated from unique genesis postulate. (shrink)

As timely renovation of artificial ideology about authenticity of nature in proportion to contemporaneous historical background of remarkable highlight of microcosmic configuration of matter, “Homogenous Cosmos Originated from Unique Genesis” is innovative cosmos redefinition and thoroughly coherent PNT dynamics about universal existence & motion as spontaneous occurrence in the nature of essence of matter in a class by itself, which is radically extended from newly highlighted factuality that “discretionary particles in cosmos are mutually convertible” as lineal logic system based on (...) unique assumable precondition of Homogenous cosmos originated from unique genesis postulate. (shrink)

As timely renovation of artificial ideology about authenticity of nature in proportion to contemporaneous historical background of remarkable highlight of microcosmic configuration of matter, “Homogenous Cosmos Originated from Unique Genesis” is innovative cosmos redefinition and thoroughly coherent PNT dynamics about universal existence & motion as spontaneous occurrence in the nature of essence of matter in a class by itself, which is radically extended from newly highlighted factuality that “discretionary particles in cosmos are mutually convertible” as lineal logic system based on (...) unique assumable precondition of Homogenous cosmos originated from unique genesis postulate. (shrink)

Introduction -- What is personal responsibility? -- Ordinary language -- Common conceptions -- What do philosophers mean by responsibility? -- Personally responsible for what? -- What do philosophers think? part I -- Causes -- Capacity -- Control -- Choice versus brute luck -- Second-order attitudes -- Equality of opportunity -- Deservingness -- Reasonableness -- Reciprocity -- Equal shares -- Combining criteria -- What do philosophers think? part II -- Utility -- Self-respect -- Autonomy -- Human flourishing -- Natural duties and (...) special obligations -- A matter of perspectives -- Combining values -- What do politicians think? -- A brief typology -- International comparisons -- Welfare reform -- Healthcare reform -- Rights and responsibilities -- On the responsibilities of politicians -- What do ordinary people think? -- Why ask? -- Attitudes to welfare claimants -- When push comes to shove -- Perceptions and reality -- Further international comparisons -- The trouble with opinion surveys -- Four contemporary issues in focus -- Unemployment -- Health -- Drug abuse -- Personal debt and financial rewards -- So how do we decide? -- Getting the public involved -- Citizens juries -- Answering some potential criticisms. (shrink)

Each of us is a measure. The project of advocates of change in Plato’s Theaetetus as compared with sophistic thought -/- Summary -/- One of the most intriguing motives in Plato’s Theaetetus is its historical-based division of philosophy, which revolves around the concepts of rest (represented by Parmenides and his disciples) and change (represented by Protagoras, Homer, Empedocles, and Epicharmus). This unique approach gives an opportunity to reconstruct the views of marginalized trend of early Greek philosophy - so called „the (...) sophistic movement”. Paradoxically, previous research shows little interest in sophistic thought as a source of the standpoint of advocates of change („the secret doctrine”). The roots of „the secret doctrine” were investigated in the works of Heraclitus, Aristippus, and Antisthenes or those related to “neoheracliteanism”. However, researchers did not make any significant attempt to confront this concept with the contemporary research on the sophistic movement. The conviction that sophistry was primarily humanistically oriented was one of the main reasons why researches were opposed to the fact that „the secret doctrine” could represent a true expression of Protagoras’ views. This is why J. Burnet and F. M. Cornford in their seminal works assumed that “the secret doctrine” should be attributed to Plato, who simply combined a series of loose statements into one single project. In this work, we argue that the thesis which questions the parallels between the sophists’ interests and the philosophers of nature requires a significant revision. There is ample evidence to suggest that the philosophy of nature was a part of sophists’ research. This is supported by two main arguments. First, the tutors of sophists were philosophers of nature. Second, there are numerous sources that explicitly show sophists’ interest in the physical issues. These sources include anecdotal evidence about the fact that sophists wrote works On nature. There is also information confirming that they deliberated on detailed physical issues. The analogies between the concepts attributed to the advocates of change and our knowledge about sophists from other sources is very wide and contains most elements, which are included in the project of “changeable reality” presented in Theaetetus. The deliberations on the mechanism of perception, which are close to those of flux theory of perception in Theaetetus, are present in the sources referring to Gorgias of Leontinoi, the famous sophist and rhetorician. Also, the second element of “the secret doctrine” that is the metaphysics of flux matches up with what we know about the sophists’ views from other sources. On this basis, one can deduce that – contrary to the tradition which marginalized the role of sophistic considerations on the issue of being and non-being – it was one of the major subjects of sophistic research. Its main point was the criticism of the Eleatic conception of a single and unchangeable being, which also plays a key role in the doctrine of flux in Theaetetus. The epistemological theses which are presented in Theaetetus are borne out in sophistic sources. They include the definition of knowledge as perception, the „Man-measure” formula and a number of principles, which result from these foundational theses. Sophists’ empirical preferences resonate with the theses of the advocates of change in Theaetetus. Special attention that is given to the issues of differences among people, and even to cognitive differences in one person depending on the changeable states to which a person is subject, goes well together with what we know about reciprocal influence between the sophistry and medicine. The consequences of the epistemological conception present in Theaetetus have their equivalents in sophists’ works and other testimonies. An example of these consequences may be the abolition of truth and falsehood or the abolition of contradiction, which finds its expression in the thesis ouk estin antilegein. The analogies also concern reflections on the language itself. The project of the “new language” uses categories, which were developed by sophists. These include the antithesis of nomos and physis. The general intentions of this project reflect Protagoras’ ideas, at least to the extent to which they are known from the sources reporting his thoughts on language. Plato’s Theaetetus can thus be considered a veritable treasury of sophistic motifs. Even though the problem remains unsolved and one is still not able to unambiguously decide about the author of “the secret doctrine”, one can come to a certain conclusion – even if Plato synthesized various doctrines, he must have relied in his project mostly on the elements that he borrowed from sophists. Moreover, the value of reconstructing the project of the advocates of change in Theaetetus does not consist of mere enumeration of sophistic motifs. The dialogue is key to understanding the sophistic movement, whose separate doctrines – for the lack of sources and as a result of centuries-old disregard – are usually treated as rhetorical formulae that are interpreted in many ways and have no philosophical foundations. If it is really the case that the theses attributed to Protagoras in Theaetetus were actually a part or a derivative of Protagoras’ thought, or – speaking more conservatively – if they constitute a synthesis of sophistic thought done by Plato, they could represent philosophical foundations for the most important sophistic theses: the “Man-measure” formula, the ouk estin antilegein principle, the concept of language as a tool, the idea of the relativity of good and the whole practical sphere of sophists’ activity. Contrary to the views of many researchers, we are certain that the representatives of the sophistic movement did not limit themselves only to the application of practical rules, which determined the extent of their educational or rhetorical-political activity. They were capable of creating – indeed, they did create comprehensive projects that embraced the whole thematic scope subject to philosophical reflection. (shrink)

Could interacting mindreaders be in a position to know things which they would be unable to know if they were manifestly passive observers? This paper argues that they could. Mindreading is sometimes reciprocal: the mindreader’s target reciprocates by taking the mindreader as a target for mindreading. The paper explains how such reciprocity can significantly narrow the range of possible interpretations of behaviour where mindreaders are, or appear to be, in a position to interact. A consequence is that revisions and (...) extensions are needed to standard theories of the evidential basis of mindreading. The view also has consequences for understanding how abilities to interact combined with comparatively simple forms of mindreading may explain the emergence, in evolution or development, of sophisticated forms of social cognition. (shrink)

A recent version of the view that aesthetic experience is based in empathy as inner imitation explains aesthetic experience as the automatic simulation of actions, emotions, and bodily sensations depicted in an artwork by motor neurons in the brain. Criticizing the simulation theory for committing to an erroneous concept of empathy and failing to distinguish regular from aesthetic experiences of art, I advance an alternative, dynamic approach and claim that aesthetic experience is enacted and skillful, based in the recognition of (...) others’ experiences as distinct from one’s own. In combining insights from mainly psychology, phenomenology, and cognitive science, the dynamic approach aims to explain the emergence of aesthetic experience in terms of the reciprocal interaction between viewer and artwork. I argue that aesthetic experience emerges by participatory sense-making and revolves around movement as a means for creating meaning. While entrainment merely plays a preparatory part in this, aesthetic engagement constitutes the phenomenological side of coupling to an artwork and provides the context for exploration, and eventually for moving, seeing, and feeling with art. I submit that aesthetic experience emerges from bodily and emotional engagement with works of art via the complementary processes of the perception–action and motion–emotion loops. The former involves the embodied visual exploration of an artwork in physical space, and progressively structures and organizes visual experience by way of perceptual feedback from body movements made in response to the artwork. The latter concerns the movement qualities and shapes of implicit and explicit bodily responses to an artwork that cue emotion and thereby modulate over-all affect and attitude. The two processes cause the viewer to bodily and emotionally move with and be moved by individual works of art, and consequently to recognize another psychological orientation than her own, which explains how art can cause feelings of insight or awe and disclose aspects of life that are unfamiliar or novel to the viewer. (shrink)

*North American Society for Social Philosophy (NASSP) Book Award 2019.* -/- *International Studies Association (ISA) - International Ethics Section Book Award 2021.* -/- Although military mores have relied primarily on just war theory, the ethic of cooperation in warfare (ECW)—between enemies even as they are trying to kill each other—is as central to the practice of warfare and to conceptualization of its morality. Neither game theory nor unilateral moral duties (God-given or otherwise) can explain the explicit language of cooperation in (...) developing and enforcing principles of military ethics and the law of armed conflict. -/- The ethic of cooperation is borne of various motivations: reciprocity, self-preservation, and efficiency, to be sure, but also a sense of warrior honor and concern with human rights. This shared morality can persist despite making it more difficult for one side or the other to win and, unfortunately, its well-meaning motivations often lead to unintended tragic consequences. -/- This book explores three manifestations of this significant yet overlooked ethic of cooperation in warfare: (1) for a “fair fight,” (2) to protect classes of individuals (e.g., non-combatants or prisoners of war), and (3) to end the war quickly. Such cooperation can take unexpected forms, from ad hoc decisions on the battlefield to institutionalization in international law, and is the source of some critical tensions in one of the most significant developments in warfare in recent years: namely, how to handle terrorism or other forms of warfare that lie outside the purview of international law. -/- Each type of ECW raises questions internal to that ethic, such as inconsistencies in the concept of “parity” across different weapons bans, contradictions within the warrior ethic that heavily influence—and therefore confuse—notions of the “fair fight,” the disconnect between what protections a person receives and his responsibility for the war (e.g., political leaders), or the limited decisiveness of outcomes generated by very short wars. -/- Their simultaneous application also generates significant tensions and raises questions about the proper relationship of ECW to the immediate goal of war itself, which is to win, and thus yield either a political settlement or a justicial decision. For example, the ECWs for a “fair fight” and to protect classes of individuals can make it harder to win the war, but even more concerning is that they can also kill more people, which in the latter case contravenes its very purpose. -/- Human history is in some ways the story of trying to concurrently wage and tame war, and the architecture of warfare itself is informed by the ECW, in particular: (a) the political nature of war, (b) the abdication from jus ad bellum judgments in order to concentrate on justice within war (jus in bello), and (c) the ways in which modern nation-states collude to define “legitimacy” in war. -/- The combination of these three features leave questions of justicial right and responsibility for war disturbingly unresolved, it also generates new challenges in a geopolitical context in which cooperative and non-cooperative (e.g. contemporary terrorism) forms of warfare clash. (shrink)

The thesis revolves around the following questions. What is time? Is time tensed or tenseless? Do things endure or perdure, i.e. do things persist by being wholly present at many times, or do they persist by having temporal parts? Do causes bring their effects into existence, or are they only correlated with each other? Within a realist approach to metaphysics, the author claims that the tensed view of time, the endurance view of persistence, and the production view of causality naturally (...) combine into what is called the dynamic view of temporal reality, and that the tenseless view of time, the perdurance view of persistence, and the correlation view of causality naturally combine into what is called the static view of temporal reality. The author argues in favour of a dynamic view. During the discussion a number of metaphysical problems are addressed. First, it is argued that the charges that the dynamic view is contradictory, made by J.M.E. McTaggart and David Lewis, are viciously circular. Secondly, it is argued that the static view cannot account for change, and deprives metaphysics of essential means to provide natural explanations to empirical phenomena. Thirdly, the author presents a novel account of the nature of necessary causal production. He suggests that the traditional conception of causes as essentially being external to the effects should be abandoned, and that causal production instead should be explicated in terms of reciprocal interactions between coexistent substances. (shrink)

Understanding cooperative human behaviour depends on insights into the biological basis of human altruism, as well as into socio-cultural development. In terms of evolutionary theory, kinship and reciprocity are well established as underlying cooperativeness. Reasons will be given suggesting an additional source, the capability of a cognition-based empathy that may have evolved as a by-product of strategic thought. An assessment of the range, the intrinsic limitations, and the conditions for activation of human cooperativeness would profit from a systems approach combining (...) biological and socio-cultural aspects. However, this is not yet the prevailing attitude among contemporary social and biological scientists who often hold prejudiced views of each other's notions. It is therefore worth noticing that the desirable integration of aspects has already been attempted, in remarkable and encouraging ways, in the history of thought on human nature. I will exemplify this with the ideas of the fourteenth century Arab-Muslim historian Ibn Khaldun. He set out to explicate human cooperativeness - "asabiyah" - as having a biological basis in common descent, but being extendable far beyond within social systems, though in a relatively unstable and attenuated fashion. He combined psychological and material factors in a dynamical theory of the rise and decline of political rulership, and related general social phenomena to basic features of human behaviour influenced by kinship, expectation of reciprocity, and empathic emotions. -/- . (shrink)

A new program of teacher training in a dialogical spirit in order to prepare them towards working in the field of philosophy with children combines cultivating creativity and self-reflective thinking had been operated as a part of cooperation between the academia and the education system in Israel. This article describes the program that is a part of their practice towards co-operation between academia and schools as a part of PDS (Professional Development Schools) partnership. The program fosters creativity and self-reflective thinking (...) in schools and teacher training, and offers dialogical methods through the philosophy of Martin Buber, Emanuel Levinas and Paulo Freire. The program encourages adopting principles proposed by Martin Buber (1947, 1957, 1959), who perceived education as a dialogue among people whose humanity is fully manifested in its reciprocity. This is an unequivocal stance, maintaining that neither skillful technique nor exciting contents can replace the experience of the spontaneous, authentic concrete presence of the educator’s personality. The dialogic dimension of the program draws its significance from the principle of responsibility, as expressed by Emanuel Levinas (2003). It is based on the idea that the human being, as a speaking subject, does not place himself/herself in the center, but turns to the other. This committed attitude of the other must be expressed in education action, in clothing the naked and feeding the hungry as expressed by Paulo Freire (1973). These principles implemented in teacher education and teacher training requires active listening, a capacity to be response-able to environment in which teachers are situated and it seeks to uncover assumptions, reflect on concepts in use and assist the new teacher to be involve on a philosophical inquiry, as well as situating self-understanding in the context of philosophy of education. (shrink)

The broad scope and coherence of Natural Beauty are among its major strengths. Moore's syncretic theory tries to integrate diverse and sometimes conflicting theoretical strands. Of special importance is his recognition that the natural world is a social institution embodying perceptions that are conditioned, experiences communicated through language, and social beliefs and conventions. These lead him to consider the natural world as actually artifactual, and he terms it the 'natureworld'. Among the consequences of this is the reciprocity of natural and (...) artistic beauty, one indication of the inclusiveness that runs through his theory. My central concern is whether Moore's syncretic theory can successfully combine disparate features of conflicting theories, such as cognitivism and non-cognitivism, and subjectivism and objectivism. Another concern is whether his syncretism can resolve problems such as the apparent inconsistencies raised by his discussion of framing. Here, alternatives that Moore had presumably settled reappear, as when objects, which had presumably been replaced by experiences, re-emerge in his discussion of framing. These comments identify such difficulties and ask whether the way out may be to reframe not natural beauty but the terms of the question. (shrink)

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)

ABSTRACT Objective: In the bulk of literature on critical thinking, the influence of interest on cognitive and affective processes of individuals has always been a source of debate and disagreement; a reciprocal relationship to be detrimental or facilitative in the development and enhancement of critical thinking as a skill. The present paper aims at explaining and resolving the observed discrepancy, with the combination of a comparative (agreement method) and a (descriptive-analytical). Method: method, on the additive and regressive effect (...) of “interest” on critical thinking-product from the viewpoint of Islamic Traditions. Finding: The finding shows that although interest, as a human tendency, generally has a positive effect on critical thinking, in some cases, the same component prevents seeing the shortcomings and defects as well. Therefore, in critical thinking, which requires more judgment and evaluation in order to promote it, one must control the interest in the subject in order to form a critical view of the issue properly. Based on the results, it is suggested that more attention should be paid to the regressive role of interest in critical thinking, especially in the cognitive and metacognitive understanding of the mental structure of thinking. Accordingly, an updated and systematic rereading of religious doctrines is one of the necessities of the conscious life in the third millennium, especially when the effective and productive approach to psychological components is more and more needed for today's life. Conclusion: Also, it is strongly suggested that the insights driven by Islamic traditions especially those that tap upon the issues on psychology are diverse and rich, providing a cultivated and rich ground for an understanding of human cognition and mind. (shrink)

Thought is the primary realm in which truth and falsity may occur and speech the secondary realm of this occurrence while the realm of external being has no truth and falsity in itself. The first and last points are directly asserted by Aristotle in one text: ‘Falsity and truth are not in things-it is not as if the good were true, and the bad were in itself false- but in thought.’ (Met., E, 1027b25-27; cf. Met., K, 1065a22-23) The second point (...) is also somehow implied: ‘As there are in the mind thoughts which do not involve truth and falsity, and those which must be either true or false, so it is in speech.’ (OI, I, 1, 16a9-11) 1) Truth and falsity belong only to co-positings and positing aways and not to incomposites Truth and falsity do not belong to the realm of external being but only to the realms of thought and language. However, they do not belong to all the elements in these realms. Neither do they belong to incomposite elements in thought (‘With regard to simple things and essences, falsity and truth do not exist even in thought.’ (Met., E, 1027b26-28; So., Γ, 6, 430a26-b4)), nor to such elements in language. Consequently, all incomposites are incapable of being true or false. (cf. Met., Θ, 1051b17-22 and b26-27) Where we have no co-positing or positing away, of the kind made by copula or verb, we cannot have truth and falsity though we can have significance: ‘“Man” and “white”, as isolated terms, are not yet either true or false. In proof of this, consider the word “good-stag.” It has significance, but there is no truth or falsity about it, unless “is” or “is not” is added, either in present or in some other tense.’ (OI., I, 1, 16a14-18) Therefore, any other kind of co-positing cannot be the subject of truth and falsity. One good example of co-positings not made by copula or verbs are simple negations: ‘He that uses the expression ‘not-man,’ if nothing more be added, is not nearer but farther from making a true or a false statement than he who uses the expression “man.”’ (OI., I, 10, 20a34-36) It is indeed a co-positing or a positing away that is the subject of truth and falsity: ‘For it is co-positing (σύνθεσιν) and positing away (διαίρεσιν) that truth and falsity is about.’ (OI., I, 1, 16a12-13) Co-positing is so vital for truth-falsity that ‘of the things that are never said based on co-positing, nothing is true or false.’ (Cat., 10, 13b9-11) This co-positing can be both in thought (‘where the alternative of true or false applies, there we always find a sort of combining of objects of thought in a quasi-unity … For falsehood always involves a combining’ (So., Γ, 6, 430a26-b2) and ‘truth or false is a co-positing of concepts of thought’ (So., Γ, 6, 430a11-12) and in language because they are produced in thought: ‘There is not only the true or false assertion that Cleon is white but also the true or false assertion that he was or will be white. In each and every case that which unifies is thought.’ (So., Γ, 6, 430b4-6) 2) Correspondence to external world Although truth and falsity belong to thought and language and not to external world, their basis is in the external world. It is, in fact, the correspondence of thought and language to external world that makes what is true, true and what is false, false: ‘To say of what is that it is, or of what is not that it is not, is false, while to say of what is that it is, and of what is not that is not, is true.’ (Met., Γ, 1011b26-27; cf. Met., Θ, 1051b2-5) When the two realms are correspondent, we can transfer from one to the other: ‘If it is true to say that a thing is white, it must necessarily be white; if the reverse proposition be true, it will of necessity not be white. Again, if it is white, the proposition stating that it is white was true; if it is not white, the proposition to the opposite effect was true. And if it is not white, the man who states that it is making a false statement, it follows that it is not white.’ (OI., I, 9, 18a39-b3) This possible mutual transformation does not, however, imply that each realm is the basis of the other. In fact, it is only the external world that is the basis of truth and falsity in thought or language and not vice versa: ‘it is not because we think that you are white, that you are white, but because you are white we who say this have the truth.’ (Met., Θ, 1051b6-9; Cat., 5, 4b8-10) Aristotle even calls the external world the ‘cause’ of truth in the realm of language while the converse causation is not approved: ‘Whereas the true statement is in no way the cause of the actual thing’s existence, the actual thing does seem in some way the cause of the statement’s being true: it is because the actual thing exists or does not that the statement is called true or false.’ (Cat., 12, 14b18-22) This one-sided relation Aristotle calls ‘reciprocation as to implication of existence’: ‘For there being a man reciprocates as to implication of existence with the true statement about it: if there is a man, the statement whereby we say that there is a man is true, and reciprocally- since if the statement whereby we say that there is a man is true, there is a man. And whereas the true statement is in no way the cause of the actual thing’s existence, the actual thing does seem in some way the cause of the statement’s being true: it is because the actual thing exists or does not that the statement is called true or false,’ (Cat., 12, 14b14-22) Aristotle attaches falsity to not-being: ‘We cal things false in this way, then, either because they themselves do not exist, or because the appearance which results from them is that of something that does not exist.’ (Met., Δ, 1024b24-26) Or: ‘A false formula is the formula of non-existent objects, in so far as it is false.’ (Met., Δ, 1024b26-27) This correspondence to ‘non-being’ is, however, more a miscorrespondence: ‘Hence every formula is false when applied to something other than that of which it is true, e.g. the formula of a circle is false when applied to a triangle.’ (Met., Δ, 1024b27-28) . (shrink)

Second-order Peano Arithmetic minus the Successor Axiom is developed from first principles through Quadratic Reciprocity and a proof of self-consistency. This paper combines 4 other papers of the author in a self-contained exposition.

This paper is about dialogic listening as a precondition for meaningful engagement in Socratic dialogues and for music. In order to arrive at a better understanding of what constitutes dialogic listening in the context of educational philosophical dialogues, I first shed light on the practice of philosophy teaching based on Nelson & Heckmann’s neo-Socratic paradigm and link this practice to Plato’s dialogues. I then argue that the activity of listening to an interlocutor during Socratic dialogues on the one hand, and (...) listening to music on the other, may in both cases be understood as a precondition for the process of engagement and, consequently, the co-creation of meaning as a central objective to the philosophical practice. I show this by discussing both Buber and Gadamer, combining their insights into three interrelated features of dialogic listening: 1) openness, 2) reciprocity, and 3) awareness, which apply to both philosophical dialogues and music. Ultimately, I attempt to make a case for the complementary application of music in the philosophical educational practice. (shrink)

In this paper, we present two proofs of the reciprocal butterfly theorem. The statement of the butterfly theorem is: Let us consider a chord PQ of midpoint M in the circle Ω(O). Through M, two other chords AB and CD are drawn, such that A and C are on the same side of PQ. We denote by X and U the intersection of AD respectively CB with PQ. Consequently, XM = YM. For the proof of this theorem, see [1]. (...) The reciprocal of the butterfly theorem has the following statement: In the circle Ω(O), let us consider the chords PQ, AB and CD which are concurrent in the point M≠O, such as the points A and C are on the same side of the line PQ. Let X and Y respectively be the intersections of the chord PQ with AD and BC respectively. If XM = YM, then M is the middle of the chord PQ. (shrink)

Direct reciprocity, indirect reciprocity, and reputation are important interrelated topics in the evolution of sociality. This non-mathematical review is a summary of each. Direct reciprocity (the positive kind) has a straightforward structure (e.g., "A rewards B, then rewards A") but the allocation might differ from the process that enabled it (e.g., whether it is true reciprocity or some form of mutualism). Indirect reciprocity (the positive kind) occurs when person (B) is rewarded by a third party (A) after doing a good (...) deed towards somebody else (C) — with the structure "A observes B help C, therefore A helps B." Here too, the allocation differs from the process: if there is underlying cognition, then indirect reciprocity is based on some ability to keep track of the reputations of others (to remember that "B helped C"). Reputation is a kind of social impression based on typicality, derived from three channels of experience (direct encounters, bystander observation, and gossip). Although non-human animals cannot gossip verbally, they can eavesdrop on third parties and learn vicariously. This paper ends with a proposal to investigate the topic of social expertise as a model for understanding how animals understand and utilise observed information within their social groups. (shrink)

How does good combine with bad? Most creatures are neither so blessed as to only enjoy good nor so cursed as to only suffer bad. Rather, the good and bad they receive throughout their lives combine to produce their overall quality of life. But it’s not just whole lives that have combined good and bad. Many stretches within contain both positive and negative occurrences whose value is joined to form the overall quality of that span of time. In a single (...) morning someone might wake up, brush their teeth, stub their toe groggily lumbering down the stairs, and have a sip of coffee that’s tasty but so hot they burn their tongue. These events are good and bad for them to various degrees, and their value comes together to form an overall value for them of that morning. A single moment, even, can have combined value from distinct pockets of good and bad that occur simultaneously. The tastiness of the coffee is good, but the pain of the heat is bad. They combine to form an overall value of the sipping moment – negative if the pain outweighed the flavor. Thus, wellbeing and illbeing combine. But how? How can someone rightly chastise themselves for sipping the overly hot coffee when it was, in fact, good because it was tasty? To pose the question starkly, a life can be bad, even so bad to not be worth living, and yet it can have many instances of good, where these goods are, in themselves, pure of any negativity. But how can good make something bad? (shrink)

Using the concepts of epistemic virtue and vice as defined by José Medina, and reciprocal recognition as outlined by Glen Coulthard, I argue that the Canadian state is currently in a non-reciprocal relationship with Indigenous peoples as a result of epistemic failure on the part of the state. This failure involves a surfacelevel recognition of Indigenous peoples at the same time as the manifestation of the epistemic vices of arrogance, laziness and closed-mindedness. The epistemic injustice framework alongside a (...) critique of the politics of recognition can help shed light on what is going wrong betweenthe settler state and Indigenous peoples. Moreover, by appealing to grounded normativity, an Indigenous ethical framework, I argue that a land-based ethics of reciprocity can help us move toward reciprocal recognition and equality, if we are epistemically humble, curious and open-minded to it. (shrink)

Scientific realists and antirealists believe that a successful scientific theory is true and merely empirically adequate, respectively. In contrast, epistemic reciprocalists believe that realists’ positive theories are true, and that antirealists’ positive theories are merely empirically adequate, treating their target agents as their target agents treat other epistemic agents. Antirealists cannot convince reciprocalists that their positive theories are true, no matter how confident they might be that they are true. In addition, reciprocalists criticize antirealists’ positive theories exactly in the way (...) that antirealists criticize their epistemic colleagues’ theories. Reciprocalism is a better epistemic policy than realism and antirealism in the epistemic battleground in which we strive to be epistemically safe vis-à-vis our epistemic colleagues’ theories and strive to convince our epistemic colleagues that our theories are true. (shrink)

According to Rainer Forst, (i) moral and political claims must meet a requirement of reciprocal and general acceptability (RGA) while (ii) we are under a duty in engaged discursive practice to justify such claims to others, or be able to do so, on grounds that meet RGA. The paper critically engages this view. I argue that Forst builds a key component of RGA, i.e., reciprocity of reasons, on an idea of the reasonable that undermines both (i) and (ii): if (...) RGA builds on this idea, RGA is viciously regressive and a duty of justification to meet RGA fails to be agent transparent. This negative result opens the door for alternative conceptions of reciprocity and generality. I then suggest that a more promising conception of reciprocity and generality needs to build on an idea of the reasonable that helps to reconcile the emancipatory or protective aspirations of reciprocal and general justification with its egalitarian commitments. But this requires to downgrade RGA in the order of justification and to determine on prior, substantive grounds what level of discursive influence in reciprocal and general justification relevant agents ought to have. (shrink)

This paper focuses on reciprocity among the nomadic hunter-gatherer Rāute and sedentary groups, ie farmers and artisans. The Rāute’s reciprocal relation depends on social contracts, trust, territorial relations and residential propinquity. These facets of reciprocity can be accepted, denied or even cancelled. I argue that the Rāute are economically prosperous because of their regular exchange of woodenwares for grains and other necessary items, though they refrain from storing resources, earning cash incomes, and eschew agricultural production and animal husbandry. Sharing, (...) exchange, gift and counter-gift engagements are obligatory or compulsory, free and voluntary, ensuring their reciprocity with neighbouring populations – which has been regulated by seasonality, foraging and population density around the vicinities of their camps. Qualitative research was employed, with informal interviews, observations, personal accounts, audio and video recording, as well as field diaries. (shrink)

In the classical Turing test, participants are challenged to tell whether they are interacting with another human being or with a machine. The way the interaction takes place is not direct, but a distant conversation through computer screen messages. Basic forms of interaction are face-to-face and embodied, context-dependent and based on the detection of reciprocal sensorimotor contingencies. Our idea is that interaction detection requires the integration of proprioceptive and interoceptive patterns with sensorimotor patterns, within quite short time lapses, so (...) that they appear as mutually contingent, as reciprocal. In other words, the experience of interaction takes place when sensorimotor patterns are contingent upon one’s own movements, and vice versa. I react to your movement, you react to mine. When I notice both components, I come to experience an interaction. Therefore, we designed a “minimal” Turing test to investigate how much information is required to detect these reciprocal sensorimotor contingencies. Using a new version of the perceptual crossing paradigm, we tested whether participants resorted to interaction detection to tell apart human from machine agents in repeated encounters with these agents. In two studies, we presented participants with movements of a human agent, either online or offline, and movements of a computerized oscillatory agent in three different blocks. In each block, either auditory or audiovisual feedback was provided along each trial. Analysis of participants’ explicit responses and of the implicit information subsumed in the dynamics of their series will reveal evidence that participants use the reciprocal sensorimotor contingencies within short time windows. For a machine to pass this minimal Turing test, it should be able to generate this sort of reciprocal contingencies. (shrink)

This paper explores two different but intimately linked concepts. First, there is "reciprocal illumination," or the relation of interdependence of the object of knowledge and its subject. Second is the "irreversibility" which characterizes the process of applying constitutive rules, which causes institutional facts to become facts, and to be even stricter and more epistemologically constant than brute facts.

Gauss’s quadratic reciprocity theorem is among the most important results in the history of number theory. It’s also among the most mysterious: since its discovery in the late 18th century, mathematicians have regarded reciprocity as a deeply surprising fact in need of explanation. Intriguingly, though, there’s little agreement on how the theorem is best explained. Two quite different kinds of proof are most often praised as explanatory: an elementary argument that gives the theorem an intuitive geometric interpretation, due to Gauss (...) and Eisenstein, and a sophisticated proof using algebraic number theory, due to Hilbert. Philosophers have yet to look carefully at such explanatory disagreements in mathematics. I do so here. According to the view I defend, there are two important explanatory virtues—depth and transparency—which different proofs (and other potential explanations) possess to different degrees. Although not mutually exclusive in principle, the packages of features associated with the two stand in some tension with one another, so that very deep explanations are rarely transparent, and vice versa. After developing the theory of depth and transparency and applying it to the case of quadratic reciprocity, I draw some morals about the nature of mathematical explanation. (shrink)

This paper embeds the core part of Discourse Representation Theory in the classical theory of types plus a few simple axioms that allow the theory to express key facts about variables and assignments on the object level of the logic. It is shown how the embedding can be used to combine core analyses of natural language phenomena in Discourse Representation Theory with analyses that can be obtained in Montague Semantics.

Two lines of evidence indicate that there exists a reciprocal inhibitory relationship between opposed brain networks. First, most attention-demanding cognitive tasks activate a stereotypical set of brain areas, known as the task-positive network and simultaneously deactivate a different set of brain regions, commonly referred to as the task negative or defaultmode network. Second, functional connectivity analyses show that these same opposed networks are anti-correlated in the resting state. Wehypothesize that these reciprocally inhibitory effects reflect two incompatible cognitive modes, each (...) of which may be directed towards understanding the external world. Thus, engaging onemode activates one set of regions and suppresses activity in the other.Wetest this hypothesis by identifying two types of problem-solving task which, on the basis of prior work, have been consistently associated with the task positive and task negative regions: tasks requiring social cognition, i.e., reasoning about the mental states of other persons, and tasks requiring physical cognition, i.e., reasoning about the causal/mechanical properties of inanimate objects. Social and mechanical reasoning tasks were presented to neurologically normal participants during fMRI. Each task type was presented using both text and video clips. Regardless of presentation modality, we observed clear evidence of reciprocal suppression: social tasks deactivated regions associated with mechanical reasoning and mechanical tasks deactivated regions associated with social reasoning. These findings are not explained by self-referential processes, task engagement, mental simulation,mental time travel or external vs. internal attention, all factors previously hypothesized to explain default mode network activity. Analyses of resting state data revealed a close match between the regions our tasks identified as reciprocally inhibitory and regions of maximal anti-correlation in the resting state. These results indicate the reciprocal inhibition is not attributable to constraints inherent in the tasks, but is neural in origin. Hence, there is a physiological constraint on our ability to simultaneously engage two distinct cognitive modes. Furtherwork is needed tomore precisely characterize these opposing cognitive domains. (shrink)

In this article, I argue that Hegel’s concept of recognition and Levinas’ concept of responsibility complement each other and lead to the idea of an asymmetrical reciprocity in which the origin of our social relations is not mutual equality, but rather mutual inequality. I will unfold this argument in three steps. I will first work out a fundamental asymmetry of recognition in Hegel by means of the figure of the bondsman before elucidating in a second step the asymmetry of responsibility (...) in Levinas by means of the figure of the hostage. In the last and third step, I will correlate both asymmetries and show how far the asymmetry of recognition and the asymmetry of responsibility constantly develop from and transition into one another in our social relationships. (shrink)

Rainer Forst and others claim that normative moral and political claims depend for their justification on meeting a requirement of reciprocal and general acceptability (RGA). I focus on a core component of RGA, namely, the idea of reciprocity of reasons, distinguish between two readings of RGA, and argue that if reciprocity of reasons is understood in Forst’s terms, then RGA, even on the most promising reading, may not serve as a requirement of moral or political justification at all. The (...) discussion concludes with constructive observations on a path forward for theorists who nevertheless are inclined to hold on to RGA. (shrink)

Economic theory has tended to reduce all social bonds and relations to forms of contract, whereas social theory has seen contracts as opposed to, and destructive of, genuine social bonds. Bruni sees these contrapositions as ideological (‘left’ against ‘right’, p. xi). His main goal is to overcome them; to show that three forms of reciprocity, covering the ideological spectrum from left to right, are complementary and simultaneously required in a healthy society. These three forms are, in his words: ‘(1) the (...) reciprocity of contract or ‘cautious’; (2) the reciprocity of friendship or philia and (3) the ‘unconditional’ reciprocity, the one more controversial . . .’ (p. x). (shrink)

For four decades Ifeanyi Menkiti has addressed the question of which sort of community constitutes personhood from a characteristically African perspective. In this chapter, I critically discuss the conceptions of how one acquires personhood through community that Menkiti has advanced, in search of the one that would most enable him to avoid prominent moral objections made to his views over the years. In particular, his account of personhood has been criticized for insufficiently accommodating individual difference, most recently in respect of (...) gender and sexuality. I draw on the resources in Menkiti’s work for rebutting this line of criticism, but contend that, even if he can avoid that one, another, new objection looms large: because of Menkiti’s claim that reciprocity is central to community, he is committed to the view that human infants and mentally incapacitated adults lack moral standing, in the way he explicitly believes animals lack it. After showing that, according to Menkiti’s strongest conception of personhood, one counterintuitively cannot acquire it in the course of interacting with any non-persons, I articulate an alternative conception of how to understand the role of community in acquiring personhood that avoids this problem as well as the other ones discussed. (shrink)

We present an algorithm for concept combination inspired and informed by the research in cognitive and experimental psychology. Dealing with concept combination requires, from a symbolic AI perspective, to cope with competitive needs: the need for compositionality and the need to account for typicality effects. Building on our previous work on weighted logic, the proposed algorithm can be seen as a step towards the management of both these needs. More precisely, following a proposal of Hampton [1], it combines (...) two weighted Description Logic formulas, each defining a concept, using the following general strategy. First it selects all the features needed for the combination, based on the logical distinc- tion between necessary and impossible features. Second, it determines the threshold and assigns new weights to the features of the combined concept trying to preserve the relevance and the necessity of the features. We illustrate how the algorithm works exploiting some paradigmatic examples discussed in the cognitive literature. (shrink)

The general methodology of "algebraizing" logics is used here for combining different logics. The combination of logics is represented as taking the colimit of the constituent logics in the category of algebraizable logics. The cocompleteness of this category as well as its isomorphism to the corresponding category of certain first-order theories are proved.

In this paper I will argue that if physics is to become a coherent metaphysics of nature it needs an “interpretation”. As I understand it, an interpretation of a physical theory amounts to offering (1) a precise formulation of its ontological claims and (2) a clear account of how such claims are related to the world of our experience. Notably, metaphysics enters importantly in both tasks: in (1), because interpreting our best physical theories requires going beyond a merely instrumentalist view (...) of science and therefore using our best metaphysical theories; in (2), because a philosophical elaboration of the theories of the world that are implicit in our experience is one of the tasks of analytic metaphysics, and bridging possible explanatory gaps or even conflicts between the physical image and the manifest image of the world is a typical philosophical task that involves science and metaphysics. (shrink)

In the life and work of Marcel Duchamp, there is the combination of the visual and the ideational in works such as The Large Glass, the combination of art and chess within his productive activity, the combination of this productive activity and the ways he made money to live, and the combination of the artwork and the viewer in art’s ongoing developmental movements. These combinations provide a content that can be used to create an understanding of (...) the operation of combination itself. This combination can then be conceptualised through a demarcation of its general features: the layered structural basis of how multiple combinations constitute a combinational whole, and the way in which the purpose of combination becomes the driver of its developmental movements. Another purpose could be to open other terrains of thought for the development of philosophy, allowing a renewed source of momentum through a combinational method. (shrink)

In the centennial year of John Dewey’s classic, Democracy and Education (1916), this paper revisits his thesis of the reciprocity of means and ends, arguing that it remains of central importance for debate over the aims of education. The paper provides a Dewey-inspired rebuttal of arguments for an ‘ultimate aim,’ but balances this with a development of the strong overlaps between proponents of pragmatism, intellectual virtues education (Jason Baehr) and critical thinking education (Harvey Siegel). Siegel’s ‘Kantian’ justification of critical thinking (...) as an ultimate aim is critiqued, and contrary to Siegel’s ‘generalist’ focus on logic, the paper concludes with specific suggestions for how the study of ecological rationality and dual-process theories (Gerd Gigerenzer; Keith Stanovich and others) should impact how we teach for critical thinking dispositions. -/- Presentation paper for ‘The Epistemic Aims of Education’ Workshop, Eidyn Research Center & University of Edinburgh, 2016. Special thanks to as IASH Center for sabbatical Fellowship support. (shrink)

This thesis explores the possibility of composite consciousness: phenomenally conscious states belonging to a composite being in virtue of the consciousness of, and relations among, its parts. We have no trouble accepting that a composite being has physical properties entirely in virtue of the physical properties of, and relations among, its parts. But a long­standing intuition holds that consciousness is different: my consciousness cannot be understood as a complex of interacting component consciousnesses belonging to parts of me. I ask why: (...) what is it about consciousness that makes us think it so different from matter? And should we accept this apparent difference? (shrink)

Xunzi's philosophy provides a rich resource for understanding how ethical relationships between humans and nature can be articulated in terms of harmony. In this paper, I build on his ideas to develop the concept of reciprocal harmony, which requires us to reciprocate those who make our lives liveable. In the context of the environment, I argue that reciprocal harmony generates moral obligations towards nature, in return for the existential debt that humanity owes towards heaven and earth. This can (...) be used as a normative basis for an environmental ethic that enables humanity and nature to flourish together. (shrink)

Political liberals ask citizens not to appeal to certain considerations, including religious and philosophical convictions, in political deliberation. We argue that political liberals must include a demanding requirement of intellectual modesty in their ideal of citizenship in order to motivate this deliberative restraint. The requirement calls on each citizen to believe that the best reasoners disagree about the considerations that she is barred from appealing to. Along the way, we clarify how requirements of intellectual modesty relate to moral reasons for (...) deliberative restraint. And we argue against attempts to weaken our requirement of intellectual modesty by emphasizing those moral reasons. (shrink)

With a diverse sample (N = 231 paired responses) of employees from various organizations in Pakistan, the authors tested for the main effects of perceived organizational politics and psychological capital on turnover intentions, job satisfaction, and supervisor-rated job performance. They also examined the moderating influence of psychological capital in the politics–outcomes relationships. Results provided good support for the proposed hypotheses. While perceived organizational politics was associated with all outcomes, psychological capital had a significant relationship with job satisfaction and supervisor-rated performance (...) only. As hypothesized, the negative relationship of perceived organizational politics with job satisfaction and supervisor-rated performance was weaker when psychological capital was high. However, the result for turnover intentions was counter to expectations where the politics–turnover intention relationship was stronger when psychological capital was high. (shrink)

The most pressing worry for panpsychism is arguably the combination problem, the problem of intelligibly explaining how the experiences of microphysical entities combine to form the experiences of macrophysical entities such as ourselves. This chapter argues that the combination problem is similar in kind to other problems of mental combination that are problems for everyone: the problem of phenomenal unity, the problem of mental structure, and the problem of new quality spaces. The ubiquity of combination problems (...) suggests the ignorance hypothesis, the hypothesis that we are ignorant of certain key facts about mental combination, which allows the panpsychist to avoid certain objections based on the combination problem. (shrink)

This article deals with the relationship between philosophy and science in the writings of Karl Jaspers and with its reception in the wider scholarly literature. The problem discussed is how to characterize the relationship that exists between science—defined on pure Kantian grounds as a universally valid knowledge of phenomenal objects—and philosophy—conceived by Jaspers as the transcending mode of thinking of personal Existenz rising towards the totality and unity of Being. Two solutions to that problem arise from Jaspers’s writings. The oppositionist (...) view is based in his earlier philosophy of Existenz. It describes the discrepancy between determinateness, bestowed by science to its objects, and freedom of self-determination, which is both a synonym and a condition of possibility for Existenz. The reciprocal view is based in Jaspers’s later works, where he focuses on exploration of his concept of Being (das Umgreifende). By contrast with most of Jaspers’s commentators, the present interpretation is anchored in a developmentaland contextual understanding of Jaspers’s thought. Showing the transcendental background of this topic, the proposed interpretation allows us to abstain from viewing the two solutions as incoherent or contradictory and instead to see them as constitutive of a single philosophical course. (shrink)

Mental fictionalism is not the benign view that we may better understand the mind if we think of mental states as something like useful fictions, but the more radical view that mental states just are useful fictions. This paper argues that, if one were to treat mental states as a kind of fiction, the genre of fiction best suited to this purpose would be fantasy make-believe, in which magic is a central feature. After defending a promising fictionalist account of mental (...) discourse as a kind of prop-oriented make believe against recent criticism, the paper ultimately concludes that mental fictionalism faces further, potentially insurmountable, challenges. Most significantly, there is a problematic disanalogy between folk psychology and fiction: our mental state attributions aim to track truth, and this crucial aspect of our mental discourse cannot be captured if we interpret it as a kind of fictional discourse. For this and other reasons, the cost of adopting mental fictionalism likely outweighs its benefits. Whether or not these problems can be resolved, there is still much to be gained from taking mental fictionalism seriously: in doing so we may illuminate several important features of our own folk psychology that often go unnoticed. (shrink)

Although some Muslim scholars have been affected in their ethical system by ancient Greek philosophers, they have also added some Islamic teachings to it and established a combined ethical system (philosophical and religious). Raghib Isfahani, the author of Al-Dharīʿa, is one of these Muslim scholars whose ethical system in this book should be regarded as a combined Islamic Virtue Ethics. It is the combination of Quranic and Philosophical Virtue Ethics. The general framework of his theory is philosophical adopted from (...) Aristotle's and Plato's Virtue Ethics, however, the content of his theory is completely Islamic and Quranic. One of the significant innovations of Raghib in philosophical Virtue Ethics is adding religious virtues to moral virtues. He added theses four religious virtues: Hidāya (God's guidance), Rushd (God's supplement), Tasdīd (God's giving strong will to individuals) and Taʾyīd (God's assistance) to Plato's four ethical virtues (wisdom, temperance, courage and justice). He has called them Tufīqī virtues. According to Raghib, there is no way to obtain virtues but by God's guidance and supplement. By inspiration from Quran, he divided justice into absolute and conditional one. This innovation help us in reconciling Muʿtazilites and as Ashʿarites dispute in being moral goodness and badness rational or religious. (shrink)

[Multiple authors] In this paper, we propose a general architecture that is based on fast/slow solvers and a metacognitive component. We then present experimental results on the behavior of an instance of this architecture, for AI systems that make decisions about navigating in a constrained environment. We show how combining the fast and slow decision modalities allows the system to evolve over time and gradually pass from slow to fast thinking with enough experience, and that this greatly helps in decision (...) quality, resource consumption, and efficiency. (shrink)

Do we learn anything from social anthropology done in more familiar settings, such as England? In this paper, I draw attention to something I learnt from Frances Oxford’s commentary on Elmdon: a surprising combination. I also propose a solution based on a conception of labour and inheritance rights.

I discuss Young’s “asymmetrical reciprocity” and apply it to an ethics of mental health care. Due to its emphasis on engaging with others through respectful dialogue in an inclusive manner, asymmetrical reciprocity serves as an appropriate framework for guiding caregivers to interact with their patients and to understand them in a morally responsible and appropriate manner. In Section 1, I define empathy and explain its benefits in the context of mental health care. In Section 2, I discuss two potential problems (...) surrounding empathy: the difficulty of perspectivetaking and “compassion fatigue.” In Section 3, I argue that these issues can be resolved if examined through the lens of an ethics of care. Reciprocal relationships between patients and caregivers are an important element in the development of an ethics of care. In Section 4, I introduce two models of reciprocity that can be applied to a health care context: Benhabib’s symmetrical reciprocity and Young’s asymmetrical reciprocity. In Section 5, I demonstrate how asymmetrical reciprocity cultivates empathy and, in Section 6 and Section 7, I show how it overcomes the objections of empathy and improves therapeutic relationships. (shrink)

t Intentional sampling methods are non-randomized procedures that select a group of individuals for a sample with the purpose of meeting specific prescribed criteria. In this paper we extend previous works related to intentional sampling, and address the problem of sequential allocation for clinical trials with few patients. Roughly speaking, patients are enrolled sequentially, according to the order in which they start the treatment at the clinic or hospital. The allocation problem consists in assigning each new patient to one, and (...) only one, of the alternative treatment arms. The main requisite is that the profiles in the alternative arms remain similar with respect to some relevant patients’ attributes (age, gender, disease, symptom severity and others). We perform numerical experiments based on a real case study and discuss how to conveniently set up perturbation parameters, in order to yield a suitable balance between optimality – the similarity among the relative frequencies of patients in the several categories for both arms, and decoupling – the absence of a tendency to allocate each pair of patients consistently to the same arm. (shrink)