Structural universals are a kind of complex universal. They have been put to work in a variety of philosophical theories but are plagued with problems concerning their compositional nature. In this article, we will discuss the following questions. What are structural universals? Why believe in them? Can we give a consistent account of their compositional nature? What are the costs of doing so?

In the ontology of music the Aristotelian theory of musical works is the view that musical works are immanent universals. The Aristotelian theory (hereafter Musical Aristotelianism) is an attractive and serviceable hypothesis. However, it is overlooked as a genuine competitor to the more well-known theories of Musical Platonism and nominalism. Worse still, there is no detailed account in the literature of the nature of the universals that the Aristotelian identifies musical works with. In this paper, I argue that (...) the best version of Musical Aristotelianism identifies musical works with structural universals. I first motivate the view by outlining its explanatory benefits. I then argue that Musical Aristotelianism is preferable to Musical Platonism and present a novel account of musical works as structural universals by developing D. M. Armstrong’s theory of structural universals. I discuss the consequences of Musical Aristotelianism with respect to on-going issues in debates about musical works and defend the view against an influential objection, concluding that Musical Aristotelianism is a genuine competitor in debates about the nature of musical works. (shrink)

Some argue that theories of universals should incorporate structural universals, in order to allow for the metaphysical possibility of worlds of 'infinite descending complexity' ('onion worlds'). I argue that the possibility of such worlds does not establish the need for structural universals. So long as we admit the metaphysical possibility of emergent universals, there is an attractive alternative description of such cases.

Universals appear to be as central in today's computational-based ontology as they were in medieval ontological investigations. As the author of a recent work on the history of universals (Pinzani, 2018), I was asked for a commentary on Augusto’s article “Bridging Mainstream and Formal Ontology” (Augusto, 2021), which aims at showing that medieval ontological investigations can be relevant for contemporary ontology engineering. In this commentary, I begin by saying something about my way of reading 12th-century logical literature and (...) then offer some modest considerations on the general theme addressed in Augusto's article. (shrink)

ABSTRACT This essay focuses on two underlying presumptions that impinge on the effort of UNESCO to engender universal agreement on a set of bioethical norms: the conception of universality that pervades much of the document, and its disregard of structural inequalities that significantly impact health. Drawing on other UN system documents and recent feminist bioethics scholarship, we argue that the formulation of universal principles should not rely solely on shared ethical values, as the draft document affirms, but also on (...) differences in ethical values that obtain across cultures. UNESCO's earlier work on gender mainstreaming illustrates the necessity of thinking from multiple perspectives in generating universal norms. The declaration asserts the ‘fundamental equality of all human beings in dignity and rights’1 and insists that ‘the highest attainable standard of health is one of the fundamental rights of every human being without distinction of race, religion, political belief, economic or social condition’2 yet it does not explicitly recognize disparities of power and wealth that deny equal dignity and rights to many. Without attention to structural (as opposed to merely accidental) inequities, UNESCO's invocation of rights is so abstract as to be incompatible with its avowed intention. (shrink)

In this paper, I argue that there are universals. I begin (Sect. 1) by proposing a sufficient condition for a thing’s being a universal. I then argue (Sect. 2) that some truths exist necessarily. Finally, I argue (Sects. 3 and 4) that these truths are structured entities having constituents that meet the proposed sufficient condition for being universals.

A very influential idea in the epistemology of modality is that we acquire knowledge of metaphysical modality through knowledge of essence. As a consequence, the epistemology of essence becomes crucial in the attempt to answer the question of how we come to know modal propositions. In this paper I investigate Lowe’s and Hale’s approach to the epistemology of essence and argue that both of them remain in a crucial, structural sense incomplete. Systematizing this criticism against Lowe and Hale, I (...) then break down desiderata of what I call a structurally complete picture of the epistemology of essence. Finally, I discuss Husserl’s epistemology of essence and defend it against a notorious objection. However, Husserl’s approach also seems to remain incomplete, due to its appeal to imagination, which operates on the basis of background assumptions that are themselves in need of justification. I indicate, however, that a Husserlian theory of intuitive awareness of universals might supply us with (direct) justification of these background assumptions and, hence, that we might be able to paint a structurally complete picture of the epistemology of essence with Husserlian means. (shrink)

What lies behind Aristotle’s declarations that an attribute or feature that is demonstrated to belong to a scientific subject is proper to that subject? The answer is found in APo. 2.8-10, if we understand these chapters as bearing not only on Aristotle theory of definition but also as clarifying the logical structure of demonstration in general. If we identify the basic subjects with what has no different cause, and demonstrable attributes (the kath’ hauta sumbebēkota) with what do have ‘a different (...) cause’, the definitions of demonstrable attributes necessarily have the minor terms of the appropriate demonstrations in their definitions, for which reason the subjects and demonstrable attributes are coextensive. (shrink)

Tetrainertia, as a universal process, function of moving matter, is its structural characteristic. And the sphere is a product of matter, its concrete form and a figurative model for studying the properties of tetrainertia. This thinking is a supplement to the first publication: The mechanics of existence.

This paper provides a defence of the account of partial resemblances between properties according to which such resemblances are due to partial identities of constituent properties. It is argued, first of all, that the account is not only required by realists about universals à la Armstrong, but also useful (of course, in an appropriately re-formulated form) for those who prefer a nominalistic ontology for material objects. For this reason, the paper only briefly considers the problem of how to conceive (...) of the structural universals first posited by Armstrong in order to explain partial resemblances, and focuses instead on criticisms that have been levelled against the theory (by Pautz, Eddon, Denkel and Gibb) and that apply regardless of one’s preferred ontological framework. The partial identity account is defended from these objections and, in doing so, a hitherto quite neglected connection—between the debate about partial similarity as partial identity and that concerning ontological finitism versus infinitism—is looked at in some detail. (shrink)

Robotics and artificial intelligence are beginning to fundamentally change the relative profitability and productivity of investments in capital versus human labor; creating technological unemployment at all levels of the workforce; from the North to the developing world. As robotics and expert systems become cheaper and more capable the percentage of the population that can find employment will also fall; stressing economies already trying to curtail "entitlements" and adopt austerity. Two additional technology-driven trends will exacerbate the structural unemployment crisis in (...) the coming decades; desktop manufacturing and anti-aging medicine. Desktop manufacturing threatens to disintermediate the half of all workers involved in translating ideas into products in the hands of consumers; while anti-aging therapies will increase the old age dependency ratio of retirees to tax-paying workers. Policies that are being proposed to protect or create employment will have only a temporary moderating effect on job loss. Over time these policies; which will impose raise costs; lower the quality of goods and services; and lower competitiveness; will become fiscally impossible and lose political support. In order to enjoy the benefits of technological innovation and longer; healthier lives we will need to combine policies that control the pace of replacing paid human labor with a universal basic income guarantee provided through taxation and the public ownership of wealth. The intensifying debate over the reform of "entitlements" will be the strategic opening for a campaign for BIG to replace disability and unemployment insurance; Social Security; and other elements of the welfare state. (shrink)

This rich book differs from much contemporary philosophy of mathematics in the author’s witty, down to earth style, and his extensive experience as a working mathematician. It accords with the field in focusing on whether mathematical entities are real. Franklin holds that recent discussion of this has oscillated between various forms of Platonism, and various forms of nominalism. He denies nominalism by holding that universals exist and denies Platonism by holding that they are concrete, not abstract - looking to (...) Aristotle for inspiration. (shrink)

I review three existing arguments in favor of having some childcare done by nonparents and then I advance five arguments, most of them original, to the same conclusion. My arguments rely on the assumption that, no matter who provides it, childcare will inevitably go wrong at times. I discuss the importance of mitigating bad care, of teaching children how to enter caring relationships with people who are initially strangers to them, of addressing children's structural vulnerability to their caregivers, of (...) helping children and parents contain the ambivalent feelings of the child-parent relationship, and of distributing the responsibility of care and the ensuing blame for bad care more widely. I conclude that nonparental childcare should be universal. (shrink)

This paper addresses the question of what constitutes an apt interpreted model for the purpose of analyzing causation. I first collect universally adopted aptness principles into a basic account, flagging open questions and choice points along the way. I then explore various additional aptness principles that have been proposed in the literature but have not been widely adopted, the motivations behind their proposals, and the concerns with each that stand in the way of universal adoption. I conclude that the remaining (...) work of articulating aptness for a SEM analysis of causation is tied up with issues to do with modality, ontology, and mereology. Continuing this work is therefore likely to shed light on the relationship between these areas and causation more generally. (shrink)

Fred Dretske, Michael Tooley, and David Armstrong accept a theory of governing laws of nature according to which laws are atomic states of affairs that necessitate corresponding natural regularities. Some philosophers object to the Dretske/Tooley/Armstrong theory on the grounds that there is no illuminating account of the necessary connection between governing law and natural regularity. In response, Michael Tooley has provided a reductive account of this necessary connection in his book Causation (1987). In this essay, I discuss an improved version (...) of his account and argue that it fails. First, the account cannot be extended to explain the necessary connection between certain sorts of laws—namely, probabilistic laws and laws relating structural universals—and their corresponding regularities. Second, Tooley’s account succeeds only by (very subtly) incorporating primitive necessity elsewhere, so the problem of avoiding primitive necessity is merely relocated. (shrink)

Recent work in formal philosophy has concentrated over-whelmingly on the logical problems pertaining to epistemic shortfall - which is to say on the various ways in which partial and sometimes incorrect information may be stored and processed. A directly depicting language, in contrast, would reflect a condition of epistemic perfection. It would enable us to construct representations not of our knowledge but of the structures of reality itself, in much the way that chemical diagrams allow the representation (at a certain (...) level of abstractness) of the structures of molecules of different sorts. A diagram of such a language would be true if that which it sets out to depict exists in reality, i.e. if the structural relations between the names (and other bits and pieces in the diagram) map structural relations among the corresponding objects in the world. Otherwise it would be false. All of this should, of course, be perfectly familiar. (See, for example, Aristotle, Metaphysics, 1027 b 22, 1051 b 32ff.) The present paper seeks to go further than its predecessors, however, in offering a detailed account of the syntax of a working universal characteristic and of the ways in which it might be used. (shrink)

This essay offers an in-depth reading of the geometrical illustration of Ethics IIP8S and shows how it can be used to explicate the whole architecture of Spinoza’s system by specifying the way in which all the key structural features of his basic ontology find their analogies in the example. The illustration can also throw light on Spinoza’s ontology of finite things and inform us about what is at stake when we form universal ideas. In general, my reading of IIP8S (...) thus elucidates what it means, for Spinoza, to think geometrically or to consider geometry as a model: fundamentally, geometricity is not a form of exposition but the way in which reality itself is structured. (shrink)

This book explores a universal question of human social order: Under what circumstances and to what extent is the individual to be held morally responsible for collective events? This question reaches far beyond the intentions and actions of a particular business enterprise, state or a similar large-scale collective. The philosopher Wolfgang Sohst (Berlin, Germany) investigates the subject with unprecedented thoroughness, covering the whole range of contemporary discussion on this subject. He provides a detailed analysis of the functions of individual members (...) in such a collective, the structural prerequisites for them to be held responsible for acts which they have not directly committed themselves and the transmission of responsibility even to successor generations of the perpetrators collective. -/- Table of contents: -/- Introduction 1 Actors and Moral Action 1.1 On the concepts of actors and action 1.2 The simultaneous emergence of actor and action 1.3 The difference between a unit of event and a unit of action 1.4 The difference between legal and moral responsible action -/- 2 The Continuum Between Individual and Corporate Actor 2.1 The relationship between a single human actor and a corporate actor 2.1.1 The primary responsibility of the individual actor and the ontological status of the collective 2.1.2 Additional arguments for putting collective responsibility onto the individual actor 2.2 The levels within structural consolidation 2.3 A different schematic view: Community, Society, State 2.4 Direct vs. organized sociality 2.5 Conflicts of application in assigning collective responsibility -/- 3 Individual and Collective Actions 3.1 A better form of social reductionism 3.2 Corporate bodies as a bundle of agency relationships 3.3 The horizon of view for collective social phenomena -/- 4 The Corporate Entity as a Moral Subject 4.1 Are corporate actors also morally responsible? 4.2 Corporate bodies as norm subjects -/- 5 Possible criteria for the moral qualification of collective action 5.1 Membership in a group 5.2 Success of an action 5.3 Shared intentionality or purpose, common interests and common consciousness 5.4 Social relationships between actors as a condition of collective action 5.5 Subjective and factual feelings of collective responsibility 5.6 The community of shared values 5.7 Social identity 5.8 Origin and ethnic belonging 5.9 No equality in injustice -/- 6 Norm-based and Purpose-oriented Organization 6.1 No collective responsibility without inner organization 6.2 Collective shame as an indication of collective responsibility 6.3 Individual responsibility for collective norms 6.4 The collective organization as an independent unit of purpose for the collective 6.4.1 The actualistic perspective 6.4.2 Structural persistence 6.4.3 Possible counter-examples of structural persistence 6.5 The other side of collective responsibility 6.6 Interim Result -/- 7 Moral Responsibility of the Individual from an International Perspective -/- 8 Social Norms and Our Responsibility for their Fulfillment 8.1 Norm dimensions 8.2 The overarching importance of norm ranking in assigning collective moral responsibility 8.3 Private and public norms 8.4 Subjective ‘ought’ and personal responsibility 8.5 The obligation to morally acceptable and coherent behavior -/- 9 The Difference between Culpability and Responsibility 10 The Temporal Horizon of Collective Moral Responsibility Index Bibliography. (shrink)

This chapter offers an opinionated introduction to higher-order formal languages with an eye towards their applications in metaphysics. A simply relationally typed higher-order language is introduced in four stages: starting with first-order logic, adding first-order predicate abstraction, generalizing to higher-order predicate abstraction, and finally adding higher-order quantification. It is argued that both β-conversion and Universal Instantiation are valid on the intended interpretation of this language. Given these two principles, it is then shown how we can use pure higher-order logic to (...) ask, and begin to answer, metaphysical questions with non-trivial implications. In particular, while we must reject the popular idea that structural differences between sentences correspond to parallel distinctions in the logical structure of extra-linguistic reality, it may still be possible to give a purely logical characterization of objectual aboutness and related notions. (shrink)

In this paper I outline the main features of Karen Bennett’s (Australasian Journal of Philosophy 1–21, 2011) non-classical mereology, and identify its methodological costs. I argue that Bennett’s mereology cannot account for the composition of structural universals because it cannot explain the mereological difference between isomeric universals, such as being butane and being isobutane. I consider responses, which come at costs to the view.

"The Essence of Tradition. A Structural-Logical Approach" The concept of tradition is not unambiguous – the same word can be defined differently within different theoretical contexts. Fortunately there is a formal theory, i.e. speech act theory, that allows us to conduct a systematic structural linguistic analysis of the category in question. At the same time, speech-theoretical approach to the concept of “tradition” provides an universal method for expressing the results obtained in different conceptual systems. The subject of this (...) paper is a preliminary analysis of various benefits of applying the speech-theoretical framework to the research on tradition. (shrink)

Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for example, is (...) a perceivable and measurable real relation between properties of physical things, a relation that can be shared by the ratio of two weights or two time intervals. Ratios are an example of continuous quantity; discrete quantities, such as whole numbers, are also realised as relations between a heap and a unit-making universal. For example, the relation between foliage and being-a-leaf is the number of leaves on a tree,a relation that may equal the relation between a heap of shoes and being-a-shoe. Modern higher mathematics, however, deals with some real properties that are not naturally seen as quantity, so that the “science of quantity” theory of mathematics needs supplementation. Symmetry, topology and similar structural properties are studied by mathematics, but are about pattern, structure or arrangement rather than quantity. (shrink)

Even though Husserl’s thinking has received a remarkable amount of attention over the last decades, the full extent of many of its central aspects still remains surprisingly unknown. It is in particular the development of genetic phenomenology that is at stake here, as it plunges ever deeper into “originary constitution” ferreting out the structural relations between inner time-consciousness, affectivity and intersubjectivity, while at the same time never giving up static phenomenology and a certain prioritizing of Cartesian subjectivity. In the (...) following I would like to point to a reading of Husserl’s philosophy of time and subjectivity that is based on material that was never examined by Derrida. A general problem for interpreting this theme is that Husserl never succeeded in presenting a systematic overview of a phenomenological “transcendental aesthetics”. As a consequence, the co-originality and mutual interdependence of the constitution of space and time, of originary spacing as flesh (Urleib) and originary temporization (Urzeitigung), which first enables a comprehensive grasp of the originary processes in the living streaming present, has remained virtually unknown. In order to reach these themes, the interaction between the radicalized and the universal reductions has to be outlined. (shrink)

Apparency and actuality are discussed with respect to science, genetics, evolution, cognition and perception. Rules for a (sub)set of actual/allowable sets of entities and objects from a total set that is based on differences and contrasts extracted from perceptual experience of the world elucidate tenable combinations/recombinations from a total of the transparent(history/past dependant) and the apparent as they can be construed to comprise the actual/real faces of perception. The elements of dreams, language, symbolisms, abstractions are proposed to encompass to encompass (...) a total set of plausible apparencies. Nature from which both internal and external life is mirrored at the simplest structural level is propose to be constructed similarly-to physically possess also concepts and abstractions as states that reflect differences/combinations/recombinations parametrically that are emerged from the parameters associated with particular circumstances. This view is dependant upon, for its' conceptual soundness, a total construction of the world that descends, rather than ascends, in structural complexity and diversity and which is innately divided and compartmentalized in sequence from a more complex uniquely existing state describable singularly as a place of force and proximities form which all processes ensue. Integration of sound, light, into sensory experience and language is proposed to be a natural process of the accomplishment of new proximities/states from total apparent plausibility’s (past and actual combined) verses the actually(past and present) existing. Two potential important aspects of this scheme exist with regards to evolution theory: 1) a very relative dynamic state of change and emergence is plausible 2) a consistent identity of objects and entities is resolvable that is not based on apparent observations or partial history of events but on a set of total states and processes occurred during the progression to an actual condition. This is suggested to be unique for each and every actual situation as an identifier and is proposed to account for allowances with respect to new potentials. "Self" in this sense can assume more involved relations with self more than with the more distant, hence alien, otherwise arrived at proximal components, components of the environment, inert or otherwise. An example is presented with respect to solar energies and their toxicity to cause disturbances/disease upon internal exposure-as an unnaturally arrived imbalance/proximity between the transparent (history dependant) and the apparent-together comprising, in this situation, a disturbed actual state that can encompass also distortions in the perception of time. Time is proposed to be delineated as a contrast of proximal and distal factors mutually involved with both transparent (genealogically) oriented parameters, and empirically apparent factors that together comprise the actual, as well as those more immediate proximal and distal components(e.g. solar radiation, light-the less structured ambient verse those elements that comprise visual perceptions) as they influence the senses. Each entity species in this scheme possesses its’ own characteristic sense of time along with contemporary factors that influence the perception of time state, state of health and disturbance. (shrink)

This dissertation is a contribution to the contemporary field of phenomenological psychopathology, or the phenomenological study of psychiatric disorders. The work proceeds with two major aims. The first is to show how a phenomenological approach can clarify and illuminate the nature of psychopathology—specifically those conditions typically labeled as major depressive disorder and bipolar disorder. The second is to show how engaging with psychopathological conditions can challenge and undermine many phenomenological presuppositions, especially phenomenology’s status as a transcendental philosophy and its corresponding (...) anti-naturalistic outlook. In the opening chapter, I articulate the three layers of the subject matter of phenomenological research—what I refer to as “existentials,” “modes,” and “prejudices.” As I argue, while each layer contributes to what we might call the “structure” of human existence, they do not do so in the same way, or to the same degree. Because phenomenological psychopathology—and applied phenomenology in general—aims to characterize how the structure of human existence can change and alter, it is paramount that these layers be adequately delineated and defined before investigating these changes. In chapters two through five, I conduct hermeneutic and phenomenological investigations of psychopathological phenomena typically labeled as major depressive disorder or bipolar disorder. These investigations address the affective aspects of depression and mania, and the embodied aspects of depression. In addition to clearly articulating the nature of these phenomena, I show how certain psychopathological conditions involve changes in the deepest or most fundamental layer of human existence—what I refer to as existentials. As I argue, many of the classical phenomenologists (including Husserl and Heidegger) believed that these structural features were necessary, unchanging, and universal. However, this presupposition is challenged through the examination of psychopathological and neuropathological conditions, undermining the status of phenomenology as a transcendental philosophy. While this challenge to classical phenomenology is only sketched in the early chapters, in chapters six and seven I develop it in more detail in order to achieve two distinct ends. In chapter six I argue that psychopathology and neuropathology not only challenge phenomenology’s status as a transcendental philosophy, but also supply a key to developing a phenomenological naturalism (which I contrast with a naturalized phenomenology). Phenomenological naturalism, as I articulate it, is a position in which phenomenology is not subsumed by the metaphysical and methodological framework of the natural sciences, but nonetheless maintains the capacity to investigate how the natural world stands independent of human subjectivity (and how events in the natural world can bring about changes in the most fundamental structures of human existence). In the seventh chapter I argue that a phenomenology in which existentials are contingent and variable rather than necessary and unchanging allows phenomenologists to contribute to new dimensional approaches to psychiatric classification. Rather than begin from distinct categories of disorder, these approaches begin from distinct core features of human existence. These features, referred to as either dimensions or constructs, can vary in degree and are studied in both normal and pathological forms. (shrink)

Many of the social deprivations of Mexico will be worsened due to the SARSCOV2 pandemic. Namely, the insufficient access to public health, lack of labor rights, and the unsuccessful government’s response to eradicate male violence against women. The historical unconcern in promoting a culture rooted in mutual aid and self-care has provoked many citizens are disconnected from their social and health rights. Thus, people’s inability to carry through one direction –stay home- is unfulfilled, in part, due to structural inequalities. (...) I affirm that effective liberty could be obtained by approving a Universal Basic Income from a feminist perspective. I conclude that the aftermath of COVID-19, which will define everyday life for a while, require the endorsement of such measure. Likewise, women as a class deserve protection from a feminist critical framework. (shrink)

The purpose of this article is to introduce an innovative approach to the theoretical debate of the last two centuries on how to appropriately conceptualize modern democracy. The main argument that is being put forward by the analysis is that the common reliance on the assumption of pre-modern political philosophy, that democracy is a certain type of political regime or at least a form of rule, has become insufficient to cover the influence and scope of its modern meaning and practical (...) use. Political theory faces the risk of becoming misguided and prejudiced, if the problem of re-conceptualizing democracy is not taken seriously into account. The article tends to offer new insights on the ongoing democratic debate by focusing on one simple question: can modern democracy be understood in terms of a political regime or should it be viewed as a distinct entity? The field of study relevant to our analysis of democracy ranges from Enlightenment thinkers, such as J. J. Rousseau and Voltaire, to XIX–XX century political philosophers (like A. de Tocqueville and C. Schmitt) and some contemporary theorists, like P. Manent. The article starts with explanations, why it is important to look deeper into the conceptual difficulties of modern democracy and why political philosophy and its theories on political regimes are crucial for such a task. Parts 3–5 of the analysis tend to prove that the only way to appropriately understand modern democracy is to identify and question its basic assumptions: the sovereignty of the people and social equality. The final part of the article – part 6 – offers a critique of understanding modern democracy as a political regime. The critique identifies three main theoretical problems, inherent to the discussion on modern democracy, which make it difficult to avoid contradictions when applying the name “democratic” to various political regimes. The article concludes that: First, democracy is not a political regime in a pre-modern sense of the term, which is an assumption still widely taken for granted in political theory. Democracy should be seen as a universal principle of legitimization of power, which can be applied by various regimes. Second, political philosophy faces the danger of adopting an oversimplified understanding of democracy as merely an institutional form of rule (a view perpetuated by social sciences); as well as the danger of conceptualizing democracy as a substance-free and abstract ideal, applicable to all forms of government. Both of these concepts fail to acknowledge the scope of democracy and thus should not be seen as satisfactory. Third, theoretical discussions on democracy suffer from three conceptual shortcomings, which make it impossible to speak about democracy as a political regime. The three problems are: 1. a tendency to see democracy as an ideal concept with no need of practical grounding; 2. making democracy a formal concept with no need of references to its normative nor positive substance; 3. making democracy a pseudo-religious entity by imitating structural elements of Christian religion: faith in a universal nature of humans, an all-powerful sovereign (the people), messianic mission. Lastly, the article generalizes that political philosophy has an obligation to demystify the concept of democracy in order to re-emerge discussions about the substance of different political regimes. For this purpose the concept of loyalty should be taken into account. If we want to prove that a certain state corresponds to a certain political regime, we must try to understand why its subjects maintain loyalty to a specific form of rule. Only unprejudiced political philosophy is capable of such a task, that’s why it should avoid taking the concept of democracy for granted. (shrink)

Let us start by some general definitions of the concept of complexity. We take a complex system to be one composed by a large number of parts, and whose properties are not fully explained by an understanding of its components parts. Studies of complex systems recognized the importance of “wholeness”, defined as problems of organization (and of regulation), phenomena non resolvable into local events, dynamics interactions in the difference of behaviour of parts when isolated or in higher configuration, etc., in (...) short, systems of various orders (or levels) not understandable by investigation of their respective parts in isolation. In a complex system it is essential to distinguish between ‘global’ and ‘local’ properties. Theoretical physicists in the last two decades have discovered that the collective behaviour of a macro-system, i.e. a system composed of many objects, does not change qualitatively when the behaviour of single components are modified slightly. Conversely, it has been also found that the behaviour of single components does change when the overall behaviour of the system is modified. There are many universal classes which describe the collective behaviour of the system, and each class has its own characteristics; the universal classes do not change when we perturb the system. The most interesting and rewarding work consists in finding these universal classes and in spelling out their properties. This conception has been followed in studies done in the last twenty years on second order phase transitions. The objective, which has been mostly achieved, was to classify all possible types of phase transitions in different universality classes and to compute the parameters that control the behaviour of the system near the transition (or critical or bifurcation) point as a function of the universality class. This point of view is not very different from the one expressed by Thom in the introduction of Structural Stability and Morphogenesis (1975). It differs from Thom’s program because there is no a priori idea of the mathematical framework which should be used. Indeed Thom considers only a restricted class of models (ordinary differential equations in low dimensional spaces) while we do not have any prejudice regarding which models should be accepted. One of the most interesting and surprising results obtained by studying complex systems is the possibility of classifying the configurations of the system taxonomically. It is well-known that a well founded taxonomy is possible only if the objects we want to classify have some unique properties, i.e. species may be introduced in an objective way only if it is impossible to go continuously from one specie to another; in a more mathematical language, we say that objects must have the property of ultrametricity. More precisely, it was discovered that there are conditions under which a class of complex systems may only exist in configurations that have the ultrametricity property and consequently they can be classified in a hierarchical way. Indeed, it has been found that only this ultrametricity property is shared by the near-optimal solutions of many optimization problems of complex functions, i.e. corrugated landscapes in Kauffman’s language. These results are derived from the study of spin glass model, but they have wider implications. It is possible that the kind of structures that arise in these cases is present in many other apparently unrelated problems. Before to go on with our considerations, we have to pick in mind two main complementary ideas about complexity. (i) According to the prevalent and usual point of view, the essence of complex systems lies in the emergence of complex structures from the non-linear interaction of many simple elements that obey simple rules. Typically, these rules consist of 0–1 alternatives selected in response to the input received, as in many prototypes like cellular automata, Boolean networks, spin systems, etc. Quite intricate patterns and structures can occur in such systems. However, what can be also said is that these are toy systems, and the systems occurring in reality rather consist of elements that individually are quite complex themselves. (ii) So, this bring a new aspect that seems essential and indispensable to the emergence and functioning of complex systems, namely the coordination of individual agents or elements that themselves are complex at their own scale of operation. This coordination dramatically reduces the degree of freedom of those participating agents. Even the constituents of molecules, i.e. the atoms, are rather complicated conglomerations of subatomic particles, perhaps ultimately excitations of patterns of superstrings. Genes, the elementary biochemical coding units, are very complex macromolecular strings, as are the metabolic units, the proteins. Neurons, the basic elements of cognitive networks, themselves are cells. In those mentioned and in other complex systems, it is an important feature that the potential complexity of the behaviour of the individual agents gets dramatically simplified through the global interactions within the system. The individual degrees of freedom are drastically reduced, or, in a more formal terminology, the factual space of the system is much smaller than the product of the state space of the individual elements. That is one key aspect. The other one is that on this basis, that is utilizing the coordination between the activities of its members, the system then becomes able to develop and express a coherent structure at a higher level, that is, an emergent behaviour (and emergent properties) that transcends what each element is individually capable of. (shrink)

The article presents an original needs-based partial theory of human injustice and shows its relationship to existing theories of human need and human liberation. The theory is based on an original typology of three social structural sources of human injustice, a partial theorization of the mechanisms of human injustice, and a needs-based theorization of the nature of human injustice, as experienced by individuals. The article makes a sociological contribution to normative social theory by clarifying the relationship of human injustice (...) to human needs, human rights, and human liberation. The theory contends that human injustice is produced when oppression, mechanistic dehumanization, and exploitation create systematic inequality in opportunities to address human needs, leading to wrongful need deprivation and the resulting serious harm. In one longer sentence, this needs-based partial theory of the sources, mechanisms, and nature of human injustice contends that three distinct social systemic sources—oppression, mechanistic dehumanization, and exploitation—produce unique and/or overlapping social mechanisms, which create systematic inequality in opportunities to address universal human needs in culturally specific ways, thus producing the nature of the human injustice theorized here: wrongfully unmet needs and serious harm. (shrink)

ABSTRACT Attributing different titles to the activity of teaching Turkish to non-native speakers is related to the perspective of those who conduct this activity. If Turkish Language teaching centres are sub-units of Schools of Foreign Languages and Departments of Foreign Languages of our Universities or teachers have a foreign language background, then the title “Teaching Turkish as a Foreign Language” is adopted and claimed to be universal. In determining success at teaching and learning, the psychological perception of the educational activity (...) and the associational power of the words used are far more important factors than the teacher, students, educational environment and educational tools. For this reason, avoiding the negative connotations of the adjective “foreign” in the activity of teaching foreigners Turkish as spoken in Turkey would be beneficial. In order for the activity of Teaching Turkish as Spoken in Turkey to Turkic Speakers to be successful, it is crucial to dwell on the formal and contextual quality of the books written for this purpose. Almost none of the course books and supplementary books in the field of teaching Turkish to non-native speakers has taken Teaching Turkish as Spoken in Turkey to Turkic Speakers into consideration. The books written for the purpose of teaching Turkish to non-speakers should be examined thoroughly in terms of content and method and should be organized in accordance with the purpose and level of readiness of the target audience. Activities of Teaching Turkish as Spoken in Turkey to Turkic Speakers are still conducted at public and private primary and secondary schools and colleges as well as private courses by self-educated teachers who are trained within a master-apprentice relationship. Turkic populations who had long been parted by necessity have found the opportunity to reunite and turn towards common objectives after the dissolution of The Union of Soviet Socialist Republics. This recent state of affairs resulting from the use of various alphabets such as Arabic, Kirill, Latin by Turkic republics that declared independence and by autonomous and semi-autonomous Turkic communities or Turkic minorities living in various regions in the World have risen the need for a common communicative language and alphabet among the cognate people of those communities. For this reason, Activities of Teaching Turkish as Spoken in Turkey to Turkic Speakers have gained a particular significance today. Activities of Teaching Turkish as Spoken in Turkey to Turkic Speakers are still handled within the scope of “Teaching Turkish to Foreigners” and people who have no background of Turkish language are given the same curriculum as Turkic speakers. This causes students who have zero Turkish language background and the ones who have the basic structural knowledge of the language at a native level to be given the same education in the same classroom environment and same tests. In these classrooms where the students’ levels of readiness vary dramatically, half of the students are unable to follow the lesson. While teaching Turkish as spoken in Turkey to the Turkic speakers, the equivalence level of the words in the dialect to be taught must be taken into consideration. You can teach someone who knows nothing about a subject better than the ones that have different or inaccurate knowledge of the subject. The same applies to teaching Turkish spoken in Turkey to Turkic speakers. In order to decide which of The Turkic dialects is to be the common communicative language, we must pay attention to factors such as the geographical size of the land that the dialect is spoken in, the domain, the level of appeal and the power of the dialect in visual and print media. As Turkish spoken in Turkey is number one in almost all of these factors, it should be the common communicative language among Turkic speakers. When taught consciously in a classroom environment, the similarities and associations between the dialects would help Turkic speakers to learn Turkish language more easily; but when neglected, the result would be the opposite. To form the first texts with the common words in Turkic dialects in the books to be written for Teaching Turkish as Spoken in Turkey to Turkic Speakers would facilitate language learning. There is a need for a systematic study in terms of every aspect such as the title, the common alphabet, the books and materials to be produced and teaching methods to be used in Teaching Turkish as Spoken in Turkey to Turkic Speakers. The characteristics of Turkish dialect spoken in Turkey and other Turkic dialects are still not considered in the activities conducted on the subject; and the activity is considered as foreign language teaching instead of teaching another dialect of Turkish language. It is considered that Turkish as spoken in Turkey should be the common communicative language among the Turkish world and for this reason it is crucial to teach it to people who speak other dialects of Turkic languages. First of all, common and similar semantic, vocal and structural units in the dialects must be identified and texts and methods that emphasize these similarities must be determined. Teaching Turkish as spoken in Turkey should be divided into two main sections as “Teaching Turkish as spoken in Turkey to Native Turkic speakers” and “Teaching Turkish as spoken in Turkey to Non-native Speakers” and teaching methods and educational tools should be determined accordingly. “Teaching Turkish as spoken in Turkey to Native Turkic speakers” should also be classified into groups. For example, under the sub title of “Teaching Turkish as spoken in Turkey to Turkic speakers”, specific course books for “Azerbaijan Turks, Kirghiz Turks, Kazakh Turks, Uzbek Turks and Turkman Turks, etc.” should be prepared in order to teach them Turkish as spoken in Turkey. In addition, instead of grammar based methods, techniques that give grammatical knowledge subtly should be preferred in Teaching Turkish as Spoken in Turkey to Turkic Speakers. While teaching Turkish to adults that come from various parts of the world with various language knowledge and skills, we should benefit from the power of pictures and shapes which are considered the common language of humankind. The sentence, which is the basic component that states a meaningful idea, should be taken as basis while teaching the language; and for the ones who do not know the Turkish alphabet, firstly letters, which are the smallest units of written language, should be comprehended by means of alphabets with pictures. Instead of making students memorize words, the meanings and forms of the words should be presented within the sentences while tenses and personal pronouns and endings should be comprehended within the sentence. While teaching sentences; first, correct pronunciation of the sentence, the meaning and correct articulation (first oral and then written) of the sentence, and then how to analyse the sentence structure and produce similar sentences should be taught; stress, intonation and spelling rules should be comprehended by means of sentences. Teaching Turkish as spoken in Turkey to Turkic speakers and Teaching Turkish to foreigners are still considered the same. A state policy has to be formed on this matter; the scope, content and teaching method of teaching Turkish to non-native speakers must be evaluated based on scientific criteria and measures must be taken in terms of professional Turkish language teaching. In a word, new measures must be taken and scientific studies must be conducted for the activity of Teaching Turkish as Spoken in Turkey to Turkic Speakers in terms of fields varying from raising course teachers, producing course books, determining the method and location of the class to the production and selection of educational tools. (shrink)

Since the beginning of the twenty-first century there has been an increasing awareness that software rep- resents a blind spot in new media theory. The growing interest in software also influences the argument in this paper, which sets out from the assumption that Alan M. Turing's concept of the universal machine, the first theoretical description of a computer program, is a kind of bachelor machine. Previous writings based on a similar hypothesis have focused either on a comparison of the universal (...) machine and the bachelor machine in terms of the similarities of their structural features, or they have taken the bachelor machine as a metaphor for a man or a computer. Unlike them, this paper stresses the importance of the con- text as a key to interpreting the universal Turing machine as a bachelor machine and, potentially, as a self-portrait. (shrink)

As with terms such as “human rights”, “democracy”, and “equality”, the notion of “freedom” has an emblematic character with highly normative overtones. After the declaration of universal human rights, one might argue that freedom is – at least formally – a universal entitlement belonging to every human being. However, this universalist structure is built upon a conflictual foundation, as the juridico-political meaning of freedom is determined by the boundaries of national citizenship, statehood, and territorial sovereignty. This chapter examines refugeehood as (...) a normal by-product of the post-colonial world order, embodying the counter-history of nation-states whose internal borders, walls, and external fortifications are growingly being militarised and reinforced. Refugeehood represents an anomalous juridico-political condition that cannot be elucidated by colonial-racial binaries such as inclusion versus exclusion or rightlessness versus national citizenship. The central idea of this chapter is that, for refugees, the meaning of freedom and unfreedom are intertwined and should be approached as a dynamic relationship characterising the state of (non)-subjectivity. As political (non)-subjects, refugees call structural determinations of unfreedom into question. Refugees’ freedom is expressed in the act of flight and border crossing, irregular migratory movement, language games of resistance, and other emancipatory signifying practices by which they claim a place of refuge in the world. (shrink)

The need for the definite article to express a singular kind ("the cat") in the Germanic languages is predicted by Borer's (2005) structural approach to the mass-count distinction. Chierchia's (1998) "down" operator can apply to nPs to derive mass kinds ("rice") and to DivPs to derive plural kinds ("cats"), but there is no determinerless structure that exclusively denotes properties of atomic individuals to which this same operator can apply to derive singular kinds. The only alternative is the process that (...) Chierchia proposes for plural kinds in Romance, where the definite article returns a maximal individual that can be intensionalized into a kind. In articleless languages like Mandarin, this account allows for a universal property-denoting denotation of nP and simultaneously captures the fact that singular kinds have the same distribution as mass kinds. (shrink)

When Bertalanffy advocated a new scientific discipline called general system theory, this generalist mode of understanding was to be based on the isomorphism of laws, principles, and models in the different sciences, and on structural uniformities (isomorphies) in the subject matters of those sciences. There is a conceptual shift in Bertalanffy’s work from the logico-mathematical mode to a deeper more complex understanding. There is a corresponding shift in the understanding of isomorphies from the isomorphy of laws and principles to (...) the isomorphy of qualities of real systems. The recognition of isomorphies in real situations and systems has resulted in the creation of the modern generalist mode of understanding and from there the development of discipline-independent-transdisciplinarity. This paper gives an introduction to this form of transdisciplinarity, and explains how this mode of understanding naturally develops a universal transdisciplinary language. (shrink)

The study examines the creative process using the logical and methodological analysis of Plato’s concepts. It presents the modern scientific research related directly or indirectly to his philosophical views (the structural analogy method, the theory of archetypes and fractals and many others). A number of modern studies and concepts, such as the theory of fractals, evolutionary epistemology, the concept of autopoiesis, and others, confirm Plato’s views on the structure of the world and creativity. For this reason, the authors define (...) creativity as the activity of a rational and social subject to produce a qualitatively new thing based on universal patterns of the fractal and archetype nature in accordance with the ideal. This activity needs in creativeness which is the state of love as a creative force arising from social interaction as a desire to create and expand space for life, connecting space inside the subject of creativity and outside it, creating a resonance between the creative self and other persons. (shrink)

A number of general theories of physics provide a model for the fundamental rules that govern our universe, becoming a structural framework to which the new discoveries must conform. The theory of relativity is such a general theory. The theory of relativity is a complex theoretical framework that facilitates the understanding of the universal laws of physics. It is based on the curved space-time continuum fabric abstract concept, and it is well suited for interpreting cosmic events. More so, a (...) general theory based on abstract concepts and imagination facilitates the emergence of countless new extravagant theories. A new simplified theory of the natural world is necessary, a simple theory that provides a verifiable framework on which new discoveries can be integrated. The paper describes a view of the abstract time/space concept, and also a very simple model of our ever-changing universe. Views of physicists, mathematicians, chemists, engineers and of course philosophers have to be all in harmony with such a theory. We leave in a beautiful, uniform, and logical world. We live in a world where everything probable is possible. Contact email: [email protected] . (shrink)

English manuscript version of Afterword to German translation of Victor Turner's The Ritual Process. The Ritual Process is a pivotal book in the body of Victor Turner's works. The first three chapters, drawn from Turner's Henry Morgan lectures at the University of Rochester, reveal the richness and subtlety of his analysis of tribal ritual and social life. In the third chapter, he concentrates on the aspects of liminality and communitas found in Ndembu ritual and expands these in the remainder of (...) the book to universal categories of human experience. His masterful ethnography opens up to reveal the fundamental reality of the subjunctive mood in human affairs: the ritual process. In Turner's analyses of the Isoma and Wubwang'a rituals of the Ndembu of Northwestern Zambia, one sees the fantastic interplay between human affliction and symbolic renewal, between human communities and a natural environment teeming with signification. The Ndembu are revealed to be a people with a deep appreciation of the complexity of existence, and endowed with a sophisticated technics of meaning, a vast architectonic of felt, expressive forms through which to journey to those borderlands beyond human comprehensibility: death, the dead, the call of the mother-line, fecundity, transformation, the interstices of social structure. Turner reveals himself to be an initiate, not only to the rites revealed to him by the Ndembu, but to the centrality of ritual itself in tribal society and human affairs. Trained in the British structural-functionalist approach to social anthropology, Turner notes how the incessant call of the drums made him feel that he "was always on the outside looking in." Soon, however, Turner and his wife and collaborator Edith discarded their theoretical ear-plugs and answered the invitation of the drums. As observers and co-participants in Ndembu ritual the Turners' began to blaze a trail toward a new anthropology. (shrink)

Giambattista Vico says that the “key” to his Scienza nuova is his discovery of “imaginative universals.” These are the poetic archetypes that serve to orient human thought and action in the earliest ages of nations. Jove, Hercules, Achilles, and Ulysses are the examples that Vico uses most often. In this paper, I wish to consider an imaginative universal that does not fit the pattern of the others: Torquato Tasso’s Godfrey, whom Vico calls the “true captain of war.” This is (...) one of the rare instances when Vico turns to the work of a near-contemporary poet rather than an ancient. Why does Vico invoke Godfrey amongst his universals? I propose three different approaches to interrogating this figure. First, I examine Tasso in reference to Vico’s other sublime poets, Homer and Dante. Second, I examine the character of Godfrey in contrast to the other captains of war Vico might have chosen, Agamemnon and Cesare Borgia. Finally, I consider the structure of the Vichian ricorso in general and where the Gerusalemme liberate fits into Vico’s doctrine of three ages. (shrink)

We present a theory of human artistic experience and the neural mechanisms that mediate it. Any theory of art has to ideally have three components. The logic of art: whether there are universal rules or principles; The evolutionary rationale: why did these rules evolve and why do they have the form that they do; What is the brain circuitry involved? Our paper begins with a quest for artistic universals and proposes a list of ‘Eight laws of artistic experience’ -- (...) a set of heuristics that artists either consciously or unconsciously deploy to optimally titillate the visual areas of the brain. One of these principles is a psychological phenomenon called the peak shift effect: If a rat is rewarded for discriminating a rectangle from a square, it will respond even more vigorously to a rectangle that is longer and skinnier that the prototype. We suggest that this principle explains not only caricatures, but many other aspects of art. Example: An evocative sketch of a female nude may be one which selectively accentuates those feminine form-attributes that allow one to discriminate it from a male figure; a Boucher, a Van Gogh, or a Monet may be a caricature in ‘colour space’ rather than form space. Even abstract art may employ ‘supernormal’ stimuli to excite form areas in the brain more strongly than natural stimuli. Second, we suggest that grouping is a very basic principle. The different extrastriate visual areas may have evolved specifically to extract correlations in different domains , and discovering and linking multiple features into unitary clusters -- objects -- is facilitated and reinforced by direct connections from these areas to limbic structures. In general, when object-like entities are partially discerned at any stage in the visual hierarchy, messages are sent back to earlier stages to alert them to certain locations or features in order to look for additional evidence for the object . Finally, given constraints on allocation of attentional resources, art is most appealing if it produces heightened activity in a single dimension rather than redundant activation of multiple modules. This idea may help explain the effectiveness of outline drawings and sketches, the savant syndrome in autists, and the sudden emergence of artistic talent in fronto-temporal dementia. In addition to these three basic principles we propose five others, constituting a total of ‘eight laws of aesthetic experience’. (shrink)

'Ontology and Metaontology: A Contemporary Guide' is a clear and accessible survey of ontology, focussing on the most recent trends in the discipline. -/- Divided into parts, the first half characterizes metaontology: the discourse on the methodology of ontological inquiry, covering the main concepts, tools, and methods of the discipline, exploring the notions of being and existence, ontological commitment, paraphrase strategies, fictionalist strategies, and other metaontological questions. The second half considers a series of case studies, introducing and familiarizing the reader (...) with concrete examples of the latest research in the field. The basic sub-fields of ontology are covered here via an accessible and captivating exposition: events, properties, universals, abstract objects, possible worlds, material beings, mereology, fictional objects. -/- The guide's modular structure allows for a flexible approach to the subject, making it suitable for both undergraduates and postgraduates looking to better understand and apply the exciting developments and debates taking place in ontology today. (shrink)

The paper seeks to develop an account of indexical phenomena based on the highly general theory of structure and dependence set forth by Husserl in his Logical Investigations. Husserl here defends an Aristotelian theory of meaning, viewing meanings as species or universals having as their instances certain sorts of concrete meaning acts. Indexical phenomena are seen to involve the combination of such acts of meaning with acts of perception, a thesis here developed in some detail and contrasted with accounts (...) of indexicals suggested by Frege, Wittgenstein and by the later Husserl himself in his Ideas I. Implications are drawn also for our understanding of the categorial grammar sketched by Husserl in his 4th Logical Investigation, as also for our understanding of the nature of proper names and other candidate indexical expressions. (shrink)

The present essay is the first part of an analysis regarding aspects of Aristotle’s ontology. Aristotle’s ontology is, in my opinion, a formal ontology that examines the fundamental structures of reality and that investigates the features belonging to entities such as substance, quantity, quality, universals. Aristotle’s ontology investigates, moreover, the reciprocal relations existing between these entities. Aristotle’s interpretation of universals is not, in my opinion, a nominalist interpretation of universals: I do not think Aristotle regards universals (...) as being only mental entities. Aristotle, rather, aims at the differentiation between the realms of reality to which individuals and universals belong. In this part of my investigation, I first expose my interpretation of the fundaments of Aristotle’s ontology. Thereafter, I concentrate my attention on chapter Metaphysics Zeta 13: I comment on Aristotle’s investigation regarding the ontological features belonging to the universal qua universal and to the substance qua substance. I analyse the ontological laws that Aristotle finds about universal and substance: substance and universals are considered by Aristotle as mutually incompatible entities. The analysis shows that a false interpretation of the features of the universals endangers the whole ontology. Moreover, the Third-Man-Regress, which is one of the consequences of the misunderstanding of the position of universals in the reality, is regarded as the key to the interpretation of one of Aristotle’s aims: Aristotle aims at the foundation of a typological ontology putting individual entities and universal entities on different levels of reality. The danger of the Third-Man-Regress is avoided through the introduction of a new ontology, that is, through the introduction of the typological ontology of the entities. (shrink)

In this chapter, I present the first systematic trope nominalist approach to natural kinds of objects. It does not identify natural kinds with the structures of mind-independent entities (objects, universals or tropes). Rather, natural kinds are abstractions from natural kind terms and objects belong to a natural kind if they satisfy their mind-independent application conditions. By relying on the trope theory SNT (Keinänen 2011), I show that the trope parts of a simple object determine the kind to which it (...) belongs. Moreover, I take the first steps to generalize the trope nominalist theory to the natural kinds of complex objects. (shrink)

In order to develop the ontology of tendencies for use in the representation of medical knowledge, tendencies are compared with other kinds of entities possessing the realizable-realization-structure, specifically: dispositions, propensities, abilities and virtues. The peculiarities of tendencies are discussed and a standard schema of tendency ascription is developed in order to represent the relations between the ascriptions of tendency tokens to particulars and the ascriptions of tendency types to universals. Two non-standard cases and their epistemic variants are discussed.

I provide a distinctively Wittgensteinian interpretation of Hegel’s Subjective Logic, including the parts on the concept, the judgement and the syllogism. I argue that Wittgenstein implicitly recognised the moments of universality, particularity and individuality; moreover, he was sensitive to Hegel’s crucial distinction between abstract and concrete universals. More specifically, for Wittgenstein the moment of particularity has the status of a paradigmatic sample which mediates between a universal concept and its individual instances. Thus, a concrete universal is a universal that (...) includes every individual via its paradigmatic sample. Next, I provide a generic account of the emergence of concrete universals through a series of negations that follows the basic structure of Hegel’s judgement—“the individual is the universal”—and the syllogism—“the individual is the universal mediated by the particular”. This development is illustrated with examples from Hegel (a plant, Socrates, Caesar, a Stoic sage, Jesus) as well as from Wittgenstein (colour samples, the standard metre, works of art). I take Wittgenstein’s argument against private language as implying that we cannot do without paradigms in our epistemic practices. If the conclusion of the section “Subjectivity” in Hegel’s Science of Logic is that the moment of particularity cannot be ignored or dispensed with, then it would mean that we cannot do without paradigms in our epistemic practices: that is, that private rules are impossible. (shrink)

In the opening chapter of the Monologion, Anselm offers an intriguing proof for the existence of a Platonic form of goodness. This proof is extremely interesting, both in itself and for its place in the broader argument for God’s existence that Anselm develops in the Monologion as a whole. Even so, it has yet to receive the scholarly attention that it deserves. My aim in this article is to begin correcting this state of affairs by examining Anslem’s proof in some (...) detail. In particular, I aim to clarify the proof’s structure, motivate and explain its central premises, and begin the larger project of evaluating its overall success as an argument for Platonism about goodness. (shrink)

Since its formal definition over sixty years ago, category theory has been increasingly recognized as having a foundational role in mathematics. It provides the conceptual lens to isolate and characterize the structures with importance and universality in mathematics. The notion of an adjunction (a pair of adjoint functors) has moved to center-stage as the principal lens. The central feature of an adjunction is what might be called “determination through universals” based on universal mapping properties. A recently developed “heteromorphic” theory (...) about adjoints suggests a conceptual structure, albeit abstract and atemporal, for how new relatively autonomous behavior can emerge within a system obeying certain laws. The focus here is on applications in the life sciences (e.g., selectionist mechanisms) and human sciences (e.g., the generative grammar view of language). (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)

The paper explicates the stages of the author’s philosophical evolution in the light of Kopnin’s ideas and heritage. Starting from Kopnin’s understanding of dialectical materialism, the author has stated that category transformations of physics has opened from conceptualization of immutability to mutability and then to interaction, evolvement and emergence. He has connected the problem of physical cognition universals with an elaboration of the specific system of tools and methods of identifying, individuating and distinguishing objects from a scientific theory domain. (...) The role of vacuum conception and the idea of existence (actual and potential, observable and nonobservable, virtual and hidden) types were analyzed. In collaboration with S.Crymski heuristic and regulative functions of categories of substance, world as a whole as well as postulates of relativity and absoluteness, and anthropic and self-development principles were singled out. Elaborating Kopnin’s view of scientific theories as a practically effective and relatively true mapping of their domains, the author in collaboration with M. Burgin have originated the unified structure-nominative reconstruction (model) of scientific theory as a knowledge system. According to it, every scientific knowledge system includes hierarchically organized and complex subsystems that partially and separately have been studied by standard, structuralist, operationalist, problem-solving, axiological and other directions of the current philosophy of science. 1) The logico-linguistic subsystem represents and normalizes by means of different, including mathematical, languages and normalizes and logical calculi the knowledge available on objects under study. 2) The model-representing subsystem comprises peculiar to the knowledge system ways of their modeling and understanding. 3) The pragmatic-procedural subsystem contains general and unique to the knowledge system operations, methods, procedures, algorithms and programs. 4) From the viewpoint of the problem-heuristic subsystem, the knowledge system is a unique way of setting and resolving questions, problems, puzzles and tasks of cognition of objects into question. It also includes various heuristics and estimations (truth, consistency, beauty, efficacy, adequacy, heuristicity etc) of components and structures of the knowledge system. 5) The subsystem of links fixes interrelations between above-mentioned components, structures and subsystems of the knowledge system. The structure-nominative reconstruction has been used in the philosophical and comparative case-studies of mathematical, physical, economic, legal, political, pedagogical, social, and sociological theories. It has enlarged the collection of knowledge structures, connected, for instance, with a multitude of theoreticity levels and with an application of numerous mathematical languages. It has deepened the comprehension of relations between the main directions of current philosophy of science. They are interpreted as dealing mainly with isolated subsystems of scientific theory. This reconstruction has disclosed a variety of undetected knowledge structures, associated also, for instance, with principles of symmetry and supersymmetry and with laws of various levels and degrees. In cooperation with the physicist Olexander Gabovich the modified structure-nominative reconstruction is in the processes of development and justification. Ideas and concepts were also in the center of Kopnin’s cognitive activity. The author has suggested and elaborated the triplet model of concepts. According to it, any scientific concept is a dependent on cognitive situation, dynamical, multifunctional state of scientist’s thinking, and available knowledge system. A concept is modeled as being consisted from three interrelated structures. 1) The concept base characterizes objects falling under a concept as well as their properties and relations. In terms of volume and content the logical modeling reveals partially only the concept base. 2) The concept representing part includes structures and means (names, statements, abstract properties, quantitative values of object properties and relations, mathematical equations and their systems, theoretical models etc.) of object representation in the appropriate knowledge system. 3) The linkage unites a structures and procedures that connect components from the abovementioned structures. The partial cases of the triplet model are logical, information, two-tired, standard, exemplar, prototype, knowledge-dependent and other concept models. It has introduced the triplet classification that comprises several hundreds of concept types. Different kinds of fuzziness are distinguished. Even the most precise and exact concepts are fuzzy in some triplet aspect. The notions of relations between real scientific concepts are essentially extended. For example, the definition and strict analysis of such relations between concepts as formalization, quantification, mathematization, generalization, fuzzification, and various kinds of identity are proposed. The concepts «PLANET» and «ELEMENTARY PARTICLE» and some of their metamorphoses were analyzed in triplet terms. The Kopnin’s methodology and epistemology of cognition was being used for creating conception of the philosophy of law as elaborating of understanding, justification, estimating and criticizing legal system. The basic information on the major directions in current Western philosophy of law (legal realism, feminism, criticism, postmodernism, economical analysis of law etc.) is firstly introduced to the Ukrainian audience. The classification of more than fifty directions in modern legal philosophy is suggested. Some results of historical, linguistic, scientometric and philosophic-legal studies of the present state of Ukrainian academic science are given. (shrink)