To understand what ontologies do through their definitions, we propose a theoretical explanation of the functions of definitions in ontologies backed by empirical neuropsychological studies. Our goal is to show how these functions should motivate (i) the systematic inclusion of definitions in ontologies and (ii) the adaptation of definition content and form to the specific context of use of ontologies.

The relationship between law and coercion has always been a highly controversial topic in contemporary legal philosophy. After an initial phase in which there was a strong consensus on its essential importance for law, an apparent consensus on the exact opposite has emerged in the last decades. In recent years, however, several important publications have reignited the debate. They criticise the latter position and argue strongly in favour of considering coercion as a necessary or relevant property of law, as well (...) as propose new ways to approach the debate and conceive the relevant question. -/- The aim of this chapter is to contribute to the revitalised debate by arguing for the importance of coercion both for the existence of law and for the function(s) of law. I will argue that if law is seen as a tool or artefact, the fulfilment of its function(s) depends both on its existence and on its possession of a certain property that enables the achievement of that end. I will then show how coercion can be understood as necessary for the existence of law by analysing two main arguments for coercion-dependent existence: that coercion is motivationally necessary to ensure conformity to law, and that it is necessary to ensure the existence of a community. Finally, even if this argument fails, I will show that coercion can nevertheless be understood as the particular property that law has to fulfil its function(s). I will argue that this is the case for most of the possible functions of law, especially those related to behaviour-guidance and coordination-solving. -/- I will proceed as follows. In section 2, I will address some useful definitions of coercion and law and offer some insights into the view of law as an artefact and the functions ascribed to it. In section 3, I will set out some general theoretical positions on the relationship between coercion and law that will help to frame the content of the arguments that follow in the next section. In section 4, I will analyse the role and significance of coercion for the existence of legal systems (4.1) and for the function of legal systems (4.2). Finally, in section 5, I will offer some concluding remarks. (shrink)

The arguments of Fodor, Garret, Walker and Parkes [(1980) Against definitions, Cognition, 8, 263-367] are the source of widespread skepticism in cognitive science about lexical semantic structure. Whereas the thesis that lexical items, and the concepts they express, have decompositional structure (i.e. have significant constituents) was at one time "one of those ideas that hardly anybody [in the cognitive sciences] ever considers giving up" (p. 264), most researchers now believe that "[a]ll the evidence suggests that the classical [(decompositional)] view (...) is wrong as a general theory of concepts" [Smith, Medin & Rips (1984) A psychological approach to concepts: comments on Rey, Cognition, 17, 272], and cite Fodor et al. (1980) as "sounding the death knell for decompositional theories" [MacNamara & Miller (1989) Attributes of theories of meaning, Psychological Bulletin, 106, 360]. I argue that the prevailing skepticism is unmotivated by the arguments in Fodor et al. Fodor et al. misrepresent the form, function and scope of the decompositional hypothesis, and the procedures they employ to test for the psychological reality of definitions are flawed. I argue, further, that decompositional explanations of the phenomena they consider are preferable to their primitivist alternatives, and, hence, that there is prima facie reason to accept them as evidence for the existence of decompositional structure. Cognitive scientists would, therefore, do well to revert to their former commitment to the decompositional hypothesis. (shrink)

In this article, the results of conceptualization of the definition of mind as an object of interdisciplinary applied research are described. The purpose of the theoretical analysis is to generate a methodological discourse suitable for a functional understanding of the mind in the context of the problem of natural language processing as one of the components of developments in the field of artificial intelligence. The conceptual discourse was realized with the help of the author's method of structural-ontological analysis, and developed (...) in the mainstream of the system-methodological tradition of the school of G.P. Shchedrovitsky and intended for descriptive research of subject areas of interdisciplinary objects of scientific study. As a result of the structural and ontological analysis of the super-system, the relevant place and role of the directly studied system (mind) are determined, and its primary process and material are localized and structural and functional connections are described. At the basic level, the mind is conceptualized as an energy process unfolding in a spatio-temporal environment and accompanied by archetypal structuring of neural impulses into images. The genesis of the system is separately analyzed by constructing a structural-ontological matrix that reflects the initial stage of the development of the mind. The primary process is concretized with the help of hetero- and homeostatic dichotomy, and also the most significant features of the consistent transformation of the material of the system and its ascent to verbal morphology are described. The structural-ontological comparison of the functioning of the verbal intelligence with the preverbal level has been carried out. The transformation of neural impulses of needs into words, as verbal units fixing semiotic values is analyzed. Structural-ontological connections that determine the reactive and prospective characteristics of the functioning of the system are disclosed. The position of the chronological primacy of "semiotic readiness" for language with respect to the debut of the latter as an information-sign model of the environment is argued. The hypothesis of domination at the initial stage of the development of the mind of exopsychic functions over endopsychic ones is formulated. The theoretical substantiation of the hypothesis of the inevitability of the ontology of language in the functional understanding of the mind is given, corresponding structural and ontological arguments are given, including those based on the ideas about the information relationship between affects and needs, according to the views of P.V. Simonov. The arguments are presented in favor of the non-alternative methodology of A. Turing in studies of artificial intelligence. (shrink)

Stecker's revised definition of art in Artworks: Definition, Meaning, Value is stated thus: "w is a work of art at t if and only if (a) w has form c which is a member of C and the maker of w intended it to fulfill a sub-set of functions f1 ... fn of F such that f1 ... fn are functions of c or (b) w is an object which achieves excellence in fulfilling a function in F" 1 (...) where: w is an artwork; t is a time; C is the set of central art forms at t; c is a member of the set C; F is the set of functions standardly or correctly regarded as belonging to C at t; f1 ... fn are members of the set F. (shrink)

This paper is a critical assessment of M. W. Rowe's functional definition of art.

Abstract: The main aim of this work is to introduce acceleration methods called a Trigonometric acceleration methods which are of series of numerated methods. In general, these methods named as AL-Tememe’s acceleration methods of first kind to his discoverer ''Ali Hassan Mohammed''. These are very beneficial to acceleration the numerical results for definite integrations with continuous integrands which are of 2nd order main error, with respect to the accuracy and the number of the used subintervals and the fasting obtaining results. (...) Especially, for acceleration the results which are obviously obtained by trapezoidal and midpoint methods. Moreover, these methods could be enhancing the results of the ordinary differential equations numerically which are of 2nd order main error. (shrink)

Abstract: The main aim of this work is to introduce acceleration methods called a hyperbolic acceleration methods which are of series of numerated methods. In general, these methods named as AL-Tememe’s acceleration methods of first kind discovered by (Ali Hassan Mohammed). These are very beneficial to acceleration the numerical results for definite integrations with continuous integrands which are of 2nd order main error, with respect to the accuracy and the number of the used subintervals and the fasting obtaining results. Especially, (...) for acceleration the results which are obviously obtained by trapezoidal and midpoint methods. Moreover, these methods could be enhancing the results of the ordinary differential equations numerically which are of 2nd order main error. (shrink)

Often, there are conceptual differences between politicians, officials, academics and professionals on key concepts related to forms of administrative organization of the State and in relation to the categorization of the various subjects who directs their actions. Settle these differences contribute to the implementation of the modernization of the State. It is also necessary to distinguish conceptually between different degrees of protection can be invoked by natural and legal persons in the administration. To help settle these conceptual differences, we will (...) propose some key definitions related to governance, from a literature review and analysis of the actions of the state. (shrink)

Mankind history has recorded the birth, development, survival struggle, and decline of various forms of states. Along with that process, the role and function of the State in socio-economic development have been strongly highlighted, represented not only social classes but also the characteristics of institutions, structures, and organizations of society in each period, and in accordance with the development of human cognition. The state in a socialist-oriented market economy has similar connotations and differences in comparison with states in general. However, (...) due to the lack of clear definitions to distinguish the two concepts of "economic function" and "economic management function," the design, implementation, monitoring, and evaluation of the effectiveness of state management policies are ineffective, as right now there exist many fuzzy and overlapping gaps in theory. Not only that, the gap between the designed policy and the actualization of policy decisions is quite far from reality. Therefore, from the time the policies are established and issued until those policies take effects, there are many issues worth discussing. (shrink)

This paper aims to establish several interconnected points. First, a particular interpretation of the mathematical definition of information, known as the causal interpretation, is supported largely by misunderstandings of the engineering context from which it was taken. A better interpretation, which makes the definition and quantification of information relative to the function of its user, is outlined. The first half of the paper is given over to introducing communication theory and its competing interpretations. The second half explores three consequences of (...) the main thesis. First, a popular claim that the quantification of information in a signal is irrelevant for the meaning of that signal is exposed as fallacious. Second, a popular distinction between causal and semantic information is shown to be misleading, and I argue it should be replaced with a related distinction between natural and intentional signs. Finally, I argue that recent empirical work from microbiology and cognitive science drawing on resources of mathematical communication theory is best interpreted by the functional account. Overall, a functional approach is shown to be both theoretically and empirically well-supported. (shrink)

This article is devoted to describing results of conceptualization of the idea of mind at the stage of maturity. Delineated the acquisition by the energy system (mind) of stable morphological characteristics, which associated with such a pivotal formation as the discourse. A qualitative structural and ontological sign of the system transition to this stage is the transformation of the verbal morphology of the mind into a discursive one. The analysis of the poststructuralist understanding of discourse in the context of the (...) dispersion of meanings (Foucault) made it possible to formulate a notion of it as a meaning that is constituted by the relation between the discursive practice and the worldview, regarded as a meta-discourse or a global discursive formation. In consequence of this relationship, a discrete and simultaneous scattering of meanings arises, the procedural side of which is a concrete discourse, and its productive aspect is linked with the creation of a local discursive formation. Based on this view it is proposed a logical formula of discourse, which takes into account the entropy of the language and the entropy of the worldview, as a particular manifestation of the mind entropy. Using this formula and considering the reactive nature of discourse, it was developed a classification, which included such types of discourses as reactive, suggestive, synthetic and creative. In turn, the proposed types of discourses are correlated with the specific characteristics of certain activities, as a psychological category. Also, it was considered the translation of the structure of discourse dissipation from the cognitive plan into the affective sphere because of which it is formed a hierarchy of significances, which performs the sense-forming function. It was analyzed the inverse influence of the hierarchy of significances on the structure of meanings dispersion and for respective account it was introduced a conditional coefficient of the value deviation of the significance of the meanings. This parameter reflects the sense correction of the meaning that occurs in the process of the emergence of discourse from discursive practice. Thus, the discourse is presented as a complex dynamic formation of the mind arising at the maturity stage of the system as a result of the combined effect of entropic dispersion of meanings and the value deviation of their significances. (shrink)

The definition of nanoeconomics can relate to different levels and areas of economic life. First of all, this is the nanolevel of the economic system. As a human economy, nanoeconomics provides for the allocation of an individual factor within the framework of a socio-economic phenomenon. The nanoeconomic aspect is central to the definition of inclusion. So, the inclusion of a person, as the main subject of nanoeconomics, to the formation and stabilization of economic systems is the initial one in the (...) integration of an individual in relation to production processes and economic development. A person is involved in academic and social life by making decisions about their own business and integrating it into the sectoral and national economic space. It is proved that its indicators are the conditions for clustering the economic system. The study carried out a cluster analysis of the innovation system in a country with an economy in transition. In addition, the study outlined that inclusive phenomena in the economy are close to integration and are the opposite of segregation and isolation. It is noted that different institutions of integration can be used to form objective conditions for the development of babyeconomics. Public decisions of inclusion involve the use of Arrow's impossibility theorem. The research results can be used: – the individualistic functions of inclusion should be used in the formation of the babyeconomics, the human economy and the economy of nanotechnology; – states of inclusion must be created at all levels of the economic system; – a person and wealth are an individualistic aspect of an inclusive economy, because national wealth consists of individual wealth. Nanoeconomics is just beginning to be included in the systemic processes of inclusive economic phenomena, especially in countries with economies in transition. (shrink)

Peirce and Dewey were generally more concerned with the process of scientific activity than purely mathematical work. However, their accounts of knowledge production afford some insights into the epistemology of mathematical postulates, especially definition and axioms. Their rejection of rationalist metaphysics and their emphasis on continuity in inquiry provides the pretext for the pragmatic a priori – hypothetical and operational assumptions whose justification relies on their fruitfulness in the long run. This paper focuses on the application of this idea to (...) the epistemology of definitions and an account of progress in mathematics, although it has broader implications for the study of conceptual change and the function and basis of presuppositions in the sciences. (shrink)

Self-awareness represents the capacity of becoming the object of one’s own attention. In this state one actively identifies, processes, and stores information about the self. This paper surveys the self-awareness literature by emphasizing definition issues, measurement techniques, effects and functions of self-attention, and antecedents of self-awareness. Key self-related concepts (e.g., minimal, reflective consciousness) are distinguished from the central notion of self-awareness. Reviewed measures include questionnaires, implicit tasks, and self-recognition. Main effects and functions of self-attention consist in selfevaluation, escape (...) from the self, amplification of one's subjective experience, increased self-knowledge, self-regulation, and inferences about others' mental states (Theory-of-Mind). A neurocognitive and socioecological model of self-awareness is described in which the role of face-to-face interactions, reflected appraisals, mirrors, media, inner speech, imagery, autobiographical knowledge, and neurological structures is underlined. (shrink)

In this paper I discuss a recent theory on functions called Organizational Account. This theory seeks to provide a new definition of function that overcomes the distinction between etiological and dispositional accounts and that could be used in biology as well as in technology. I present a definition of function that I think captures the intuitions of Organizational Accounts and consider several objections.

Definitions vary according to context of use and target audience. They must be made relevant for each context to fulfill their cognitive and linguistic goals. This involves adapting their logical structure, type of content, and form to each context of use. We examine from these perspectives the case of definitions in ontologies.

In this paper, we generalize the definition of Neutrosophic sets and present a method for extending crisp functions on Neutrosophic sets and study some properties of such extended functions.

One of the most pivotal yet under-examined moments in Spinoza's Theological-Political Treatise is his attempt to define the notion of 'faith'. In this paper, I unpack Spinoza's understanding of his definition and its significance within the broader argument of the Treatise by carefully analyzing the relationship between the definition's terminology and logical structure. I specifically examine the connection Spinoza draws between faith and obedience, arguing that according to Spinoza's definition, conceiving of obedience implies conceiving of faith, and not the other (...) way around (as many commentators have claimed). I explore the implications of this entailment for interpreting the nature and function of Spinoza's 'dogmas of universal faith'. Spinoza claims that the definition faith ultimately grounds his main argument in the Treatise, which makes the case for a radical separation between 'faith' and 'philosophy'. One of my goals in the paper is to bring out in higher resolution how the definition underwrites this argument, and what it ultimately means. (shrink)

Naturalistic accounts of mental disorder aim to identify an objective basis for attributions of mental disorder. This goal is important for demarcating genuine mental disorders from artificial or socially constructed disorders. The articulation of a demarcation criterion provides a means for assuring that attributions of 'mental disorder' are not merely pathologizing different forms of social deviance. The most influential naturalistic and hybrid definitions of mental disorder identify biological dysfunction as the objective basis of mental disorders: genuine mental...

This paper considers what function—if any—colocation of bodies may have in the Stoic theory of blending (κρᾶσις), by examining (1) whether colocation is part of the definition of what blending is; and (2) whether colocation is posited by the Stoics as a requirement necessary for the definition to be satisfied. I reconstruct the standard, Chrysippean definition of blending, and I show that the answer to (1) is ‘no’; further, I argue that the evidence gives no reason to affirm (2). Thus, (...) it appears that colocation does not have a central function in the Stoic theory of blending. (shrink)

In this work, author expressed new R-Synthesis specifically. Good and/or correct perspective that must be behind the definitions and administration generally expressed. New perspective of the philosophy explained generally. Philosophy of GodForm is defined and expressed as connected/related with the following concepts: (a) basic principles, (b) 17 upper constructional philosophies, (c) 14 lower constructional philosophies, (d) eight basic philosophies. As special cases, Philosophy of Engineering and Technology, Philosophy of Wireless Administration and others defined as hybrid philosophies. 17 specific components/units (...) which can be considered to define the basic principles of the related formation, are proposed to be designed by GodForm and defined by the author. Philosophy of GodForm and its relation with Values and Positions specifically defined. New Era Theory and New Era Belief explained generally. Some specific religions/beliefs are defined as variants/forms of the Progressive Religion. Good and/or correct power authorities (R-Power Authority) are defined due to 29 categories. Functional position levels defined for the R-Power Authorities with a unique table. As result of the R-Synthesis, functional position levels of some philosophers, some scientists, and of Prophet Jesus, Prophet Mohamed, Prophets Mouses, Buddha, and of Confucius generally/specifically defined. Integration and past/present effects of some R-Power Authorities in 5 x 5 Ideal Political Construction specifically explained. New Era Belief, Concepts of GodX and Science relation explained with the following concepts: (1) Religion of GodForm, (2) Knowledge of GodX, (3) Nature of GodX. With this respect, some other characteristics of 7 GodX power authorities expressed with details as complementary information. Following concepts/systems defined to arrange and solve some/most/all religious problems, which are determined with R-Synthesis: (a) Religious Responsibilities and Positions, (b) Ideal Religious Administration, (c) Sustainable/Continuable Political Administration System, (d) Community Values Council/Authority for each world country, (e) Progressive Councils. 15 general religious position categories defined to express their good and/or correct meanings/values/responsibilities in the religious system. 21 general/specific cases/programs defined due to New Era Belief to solve possible past/present/future community values problems, to have continuous, judicious, and progressive administration about the 36 kinds of community values. Progressive Councils, which are related with the CUS-WW-HO, are defined. Progressive Religion Council and some of the related religious responsibilities expressed for the kind progressive religion studies due to the Philosophy of Progressive Religions. (shrink)

Legal definitions will be examined from three perspectives: their pragmatic function, their propositional structure, and their argumentative role. In law, definitions can be used for different pragmatic purposes: they can be uttered to describe a concept, or to establish a new meaning for a term. The propositional content of definitional speech acts can be different. In law, like in ordinary conversation, there might be different types of definition: we can define by providing examples, or showing the fundamental characteristics (...) of the concept defined, or listing the constituent parts of the denotatum. All these definitions play different argumentative roles in legal discourse. At a third level, definitions can be thought of as premises in complex patterns of reasoning (for the subject of reasoning from definition in law, see Aarnio 1977; Moore 1980; Lindahl, 2004). They constitute the fundamental element of argument from classification, namely a pattern of inference in which a new property (or a name) is attributed to an entity on the basis of other properties. (shrink)

Does Aristotle offer a definition of the soul? In fact, he rejects the possibility of defining the soul univocally. Because “life” is a homonymous concept, so too is “soul”. Given the specific causal role that Aristotle envisages for form and essence, the soul requires multiple different definitions to capture how it functions as a cause in each form of life. Aristotle suggests demonstrations can be given which express these causal definitions; I reconstruct these demonstrations.

A number of examples have been given of physical systems (both classical and quantum mechanical) which when provided with a (continuously variable) computable input will give a non-computable output. It has been suggested that these systems might allow one to design analogue machines which would calculate the values of some number-theoretic non-computable function. Analysis of the examples show that the suggestion is wrong. In Section 4 I claim that given a reasonable definition of analogue machine it will always be wrong. (...) The claim is to be read not so much as a dogmatic assertion, but rather as a challenge. -/- In Sections 1 and 2 I discuss analogue machines, and lay down some conditions which I believe they must satisfy. In Section I discuss the particular forms which a paradigm undecidable problem (or non-computable function) may take. In Sections 5 and 6 I justify any claim for two particular examples lying within the range of classical physics, and in Section 7 I justify it for two (closely connected) examples from quantum mechanics, and discuss, very briefly, other possible quantum mechanical situations. Section 8 contains various remarks and comments. In Section 9 I consider the suggestion made by Penrose that a (future) theory of quantum gravity may predict non-locally-determined, and perhaps non-computable patterns of growth for microsopic structures. My conclusion is that such a theory will have to have non-computability built into it. (shrink)

This paper commences from the critical observation that the Turing Test (TT) might not be best read as providing a definition or a genuine test of intelligence by proxy of a simulation of conversational behaviour. Firstly, the idea of a machine producing likenesses of this kind served a different purpose in Turing, namely providing a demonstrative simulation to elucidate the force and scope of his computational method, whose primary theoretical import lies within the realm of mathematics rather than cognitive modelling. (...) Secondly, it is argued that a certain bias in Turing’s computational reasoning towards formalism and methodological individualism contributed to systematically unwarranted interpretations of the role of the TT as a simulation of cognitive processes. On the basis of the conceptual distinction in biology between structural homology vs. functional analogy, a view towards alternate versions of the TT is presented that could function as investigative simulations into the emergence of communicative patterns oriented towards shared goals. Unlike the original TT, the purpose of these alternate versions would be co-ordinative rather than deceptive. On this level, genuine functional analogies between human and machine behaviour could arise in quasi-evolutionary fashion. (shrink)

In this paper we present an analysis of persuasive definition based on argumentation schemes. Using the medieval notion of differentia and the traditional approach to topics, we explain the persuasiveness of emotive terms in persuasive definitions by applying the argumentation schemes for argument from classification and argument from values. Persuasive definitions, we hold, are persuasive because their goal is to modify the emotive meaning denotation of a persuasive term in a way that contains an implicit argument from values. (...) However, our theory is different from Stevenson’s, a positivistic view that sees emotive meaning as subjective, and defines it as a behavioral effect. Our proposal is to treat the persuasiveness produced by the use of emotive words and persuasive definitions as due to implicit arguments that an interlocutor may not be aware of. We use congruence theory to provide the linguistic framework for connecting a term with the function it is supposed to play in a text. Our account allows us to distinguish between conflicts of values and conflicts of classifications. (shrink)

This is a short overview of the biological functions debate in philosophy. While it was fairly comprehensive when it was written, my short book ​A Critical Overview of Biological Functions has largely supplanted it as a definitive and up-to-date overview of the debate, both because the book takes into account new developments since then, and because the length of the book allowed me to go into substantially more detail about existing views.

We make physical efforts when we swim, carry shopping bags, push heavy doors, or cycle up hills. A growing concern among philosophers and scientists in related fields is the absence of a well-defined concept for physical efforts. This paper addresses this issue by presenting a force-based definition of physical efforts. In Sect. 1, we explore the shortcomings of existing definitions of effort. Section 2 introduces the force-based account of efforts according to which making an effort consists in exerting a (...) force so as to make an object move or stay at rest. Section 3 introduces three central distinctions stemming from the account: failed vs. successful efforts; resisted vs. unresisted efforts; and efforts vs. effortful actions. Section 4 presents a key objection, to the effect that the force-based theory cannot account for the difficulty of efforts: efforts usually feel difficult, but effort’s difficulty is not always a function of the magnitude of force(s) exerted. Section 5 argues that the most in-depth account of difficulty so far, that developed by Bradford ( 2015 ), cannot account for the difficulty of efforts. Sections 6 & 7 develop a novel account of effort’s difficulty. (shrink)

Deception has recently received a significant amount of attention. One of main reasons is that it lies at the intersection of various areas of research, such as the evolution of cooperation, animal communication, ethics or epistemology. This essay focuses on the biological approach to deception and argues that standard definitions put forward by most biologists and philosophers are inadequate. We provide a functional account of deception which solves the problems of extant accounts in virtue of two characteristics: deceptive states (...) have the function of causing a misinformative states and they do not necessarily provide direct benefits to the deceivers and losses to the targets. (shrink)

Functionalism would be mistaken if there existed a system of deviant relations (an “anti-mind”) that had the same functional roles as the standard mental relations. In this paper such a system is constructed, using “Quinean transformations” of the sort associated with Quine’s thesis of the indeterminacy of translation. For example, a mapping m from particularistic propositions (e.g., that there exists a rabbit) to universalistic propositions (that rabbithood is manifested). Using m, a deviant relation thinking* is defined: x thinks* p iff (...) x thinks m(p). Such deviant relations satisfy the commonly discussed functionalist psychological principles. Finally, a more complicated system of deviant relations is constructed, one satisfying sophisticated principles dealing with the self-conscious rational mind. (shrink)

In this article I examine two mathematical definitions of observational equivalence, one proposed by Charlotte Werndl and based on manifest isomorphism, and the other based on Ornstein and Weiss’s ε-congruence. I argue, for two related reasons, that neither can function as a purely mathematical definition of observational equivalence. First, each definition permits of counterexamples; second, overcoming these counterexamples will introduce non-mathematical premises about the systems in question. Accordingly, the prospects for a broadly applicable and purely mathematical definition of observational (...) equivalence are unpromising. Despite this critique, I suggest that Werndl’s proposals are valuable because they clarify the distinction between provable and unprovable elements in arguments for observational equivalence. (shrink)

In this paper Russell’s definition of number is criticized. Russell’s assertion that a number is a particular kind of set implies that number has the properties of a set. It is argued that this would imply that a number contains elements and that this does not conform to our intuitive notion of number. An alternative definition is presented in which number is not seen as an object, but rather as a process and is related to the act of counting and (...) is tightly bound up with the idea of time. Working from the idea that the description of a thing is not the thing itself, it is argued that a function should not be seen as a subset of the Cartesian product of two sets but can be described in this way. Number is then defined as a particular type of bijective function rather than a set. Definitions of equality and addition are developed. In defining addition an interesting error in Russell’s definition of addition is corrected. (shrink)

Abstract The word Padaartha, used as a technical term by different Indian schools of thought with different senses will be brought out. The meaning and intonation of the word Padaartha as used in the Upanishads, Brahmajnaana, Advaitha Philosophy, Sabdabrahma Siddhanta (Vyaakarana), the Shaddarshanas will be discussed. A comprehensive gist of this discussion will be presented relating to human consciousness, mind and their functions. The supplementary and complementary nature of these apparently “different” definitions will be conformed from cognitive science (...) point of view in understanding and a modern scientific model of human cognition and communication, language acquisition and in terms of brain modulation and demodulation will be presented. (shrink)

The doctrine of the imago dei is foundational for Christian anthropology. It informs the nature of humanity as individuals and as a corporate entity. It is the basis of the Christian valuation of human life. And it defines the purpose of humans both now and in the world to come. This article will attempt to define the imago dei in a purely functional manner and examine the implications of such a definition in the light of the doctrines of the fall (...) and the incarnation. (shrink)

This paper reconstructs the function argument of Aristotle’s Eudemian Ethics 2.1. The argument seeks to define happiness through the method of division; shows that the highest good is better than all four of the goods of the soul, not only two, as commentators have thought; and unlike the Nicomachean argument, makes the highest good definitionally independent of the human function.

Functional reduction follows two familiar steps: a definition of a higher-level or special science property in terms of a functional role, then a statement describing a physical property that plays or occupies that role. But Kim (2005) adds a third step, namely, an explanation regarding how the physical property occupies the functional role. I think Kim is correct. But how is the third step satisfied? An examination of the pertinent scientific explanations reveals that the third step is best satisfied by (...) a multiple-subject, part-whole explanation, which is to say, a decomposition of the occupier’s causal capacities or relations. This is true even in cases wherein role and occupant properties are identical, for an occupier’s causal capacities are always underwritten by a part-whole explanation. As a consequence, functional reduction is transformed into a larger picture that at bottom always contains multiple layers of distinct, nonidentical properties that divide between parts and their whole systems. I call it “Part-Based Functional Reduction.” My aim is to develop this larger picture of reduction. (shrink)

This paper responds to Joel Smith’s definition of empathy. It is unclear to me that it can serve as a dictionary definition of empathy, owing to the lack of a moral aspect, and I think Smith overlooks what its function is in specialist disciplines, such as psychology.

In Nicomachean Ethics 1. 7, Aristotle gives a definition of the human good, and he does so by means of the “ ergon argument.” I clear the way for a new interpretation of this argument by arguing that Aristotle does not think that the ergon of something is always the proper activity of that thing. Though he has a single concept of an ergon, Aristotle identifies the ergon of an X as an activity in some cases but a product in (...) others, depending on the sort of thing the X is—for while the ergon of the eye is seeing, the ergon of a sculptor is a sculpture. This alternative interpretation of Aristotle’s concept of an ergon allows the key explanatory middle term of the ergon argument to be what, I argue, it ought to be: “the best achievement of a human.”. (shrink)

In his late fragment, ‘Sources of Knowledge of Mathematics and Natural Sciences’ Frege laments the tendency to confuse functions with objects and says, ‘It is here that the tendency of language by its use of the definite article to stamp as an object what is a function and hence a non-object, proves itself to be the source of inaccurate and misleading expressions and also of errors of thought. Probably most of the impurities that contaminate the logical source of knowledge (...) have their origins in this.’ This paper applies Frege’s logical insights to a series of influential modal arguments for the existence of souls or minds, in order to demonstrate that they hinge on the error of treating functions as objects. Related arguments have also resulted in the claim that identity statements are necessary, and that apparent identities ‘really’ involve relations of constitution. Here it is argued that once we recognise that all these arguments involve the assimilation of objects and concepts (which Frege identifies with functions) they can be seen to be defective. (shrink)

The selected effects or ‘etiological’ theory of Proper function is a naturalistic and realist account of biological teleology. It is used to analyse normativity in philosophy of language, philosophy of mind, philosophy of medicine and elsewhere. The theory has been developed with a simple and intuitive view of natural selection. Traits are selected because of their positive effects on the fitness of the organisms that have them. These ‘selected effects’ are the Proper functions of the traits. Proponents argue that (...) this analysis of biological teleology has the unique advantage that the selected effect function of a trait is also a causal explanation of the trait: the trait exists because it performs this function. We show, however, that selected effect functions as currently defined explain the existence of traits only under highly restrictive assumptions about evolutionary dynamics. In many common scenarios in which traits evolve by natural selection, selected effect functions do not explain those traits. This is because definitions of selected effect function extract from any evolutionary scenario only the information that would be explanatorily relevant in the simple evolutionary scenario implicit in those definitions. When applied to more complex scenarios selected effect functions omit the key information that is explanatorily relevant in those scenarios. The assumptions required for selected effect functions to be explanatory are particularly unlikely to hold in the domain that its proponents care most about - the evolution of representation. A more adequate selected effects theory of Proper functions may be possible, but will require much greater attention to the structure of actual evolutionary explanations. (shrink)

Students do not necessarily use the definitions presented to them when determining examples or non-examples of given mathematical ideas. Instead, they utilize the concept image they carry with them as a result of experiences with such examples and nonexamples. Hence, teachers should try exploring students‟ images of various mathematical concepts in order to improve communication between students and teachers. This suggestion can be addressed through error analysis. This study therefore is a descriptive-qualitative type that looked into the errors committed (...) by senior high school students in dealing with mathematical functions, explored the underlying reasons for such errors, and provided recommendations on how students could learn to manage their errors and how teachers could realize how to manage students‟ errors. Initial findings showed that the students generally demonstrated mathematical, logical and strategic errors. Mathematical error was generally exhibited in their inability to use properties and operations properly. Logical error was exhibited in their false arguments, rearranging concepts, improper classifications, arguing cyclically, and using equivalent transforms. Strategic error was manifested in their not being able to distinguish patterns, lack of integral concept, and not being able to transform a word problem into symbols. Errors prevailed despite the students‟ positive view and confidence in mathematics not only because of poor image concepts but because of lack of exposure to certain important mathematical tasks. Further investigation on the other sources of these errors is therefore necessary. (shrink)

Theorists who advocate worldly (metaphysical or ontological) indeterminacy—the idea that the world itself is indeterminate in one or more respects—should address how we understand the signifying nature and function of language in light of worldly indeterminacy. I first attend to Sengzhao and Jizang, two leading thinkers in Chinese Sanlun Buddhism, to reconstruct a Chinese Madhyamaka notion of ontic indeterminacy. Then, I draw on the thinkers’ views to propose a provisional (non-definitive) understanding of the nature and use of language. Under this (...) understanding, an expression signifying a thing is provisional in that the expression connotes no determinate feature of the thing. (shrink)

Problem Statement. The process of global evolution has entered the Anthropocene. This fact has almost simultaneously generated two cardinal, inseparable imperatives in the rapidly changing ideological and outlook basis of modern civilization. Firstly, the feeling that the new geological epoch also requires fundamentally new algorithms guiding practical activity and its theoretical comprehension, justification in all spheres of political reality, with inevitable exit to the level of international relations and geopolitics. Secondly, the content of the categories of ANTHROPOCEN and (GLOBAL) CRISIS (...) overlap so diversely and widely that they form an almost inseparable logically and mentally amalgam. The purpose of this publication is to reveal the political aspects of the integration of new biopolitical issues into the life of modern society. The content of the term biopolitics is currently not formalized in a definitive form. In our concept, biopolitics is defined as the processes of implementing biopower, that is, the ability (direct or indirect) of the power structures of society to control and manipulate the performance of the biological functions of certain individuals. Based on a combination of methods of conceptual, discursive and evolutionary-anthropological analysis (the concepts of evolutionary strategy and cultural-ecological niche), possible scenarios for the future development of the political process at the domestic and international levels are identified. The mechanism of transbipolitical transition – the inclusion of civilizational and biological evolution in the political process – is investigated. The conclusion formulates the content of the category “transbiolitics” as the main element of rationalization of the global-evolutionary process in the globalizing world. Transbiolitics in our understanding is an international political problematic related to the rationalization of the global evolutionary process. Technologization of the global evolutionary process, the choice of implemented technological projects and forms of their institutional support is determined primarily by geo- and biopolitical motivation of local elites and humanitarian and other convergent technologies available to them. (shrink)

In the traditional sense, a work of art creates an illustration of the outside world, or of a certain text or doctrine. Sometimes it is considered that such an illustration is not literal, but is an interpretation of what is visible, or an interpretation of a certain literary or ideological message. It can also be assumed that a work of art creates its own visual world, a separate story or a separate philosophical statement. The Parc de La Villette represents the (...) last of these possibilities: it is a philosophical statement that develops the premises derived from poststructuralist philosophies and the philosophy of deconstruction. The uniqueness of its being status, however, is that it does so not only at the level of the theoretical assumptions, but also through its functioning as an active philosophical work. This means that a park is a happening philosophy. Its activity, however, does not refer only to the present tense, but is also an attempt to penetrate the future, all otherness and impossibility. This kind of activity assumes that the work, in a sense, does not yet fully exist, but is also still produced in the processes of its interpretation. The theoretical foundations of the park included texts by Bernard Tschumi, in which he questioned traditional ways of creating a work of architecture, postulating in return the use of a long series of negations, which were comparable to the crisis of metaphysics characteristic of contemporary philosophy. It is therefore no coincidence that the publication containing Tschumi’s theoretical text on Parc de La Villette was accompanied by an essay by Jacques Derrida developing some of the architect’s concepts. The next step in integrating philosophy into the process of park design was a series of discussions between Peter Eisenman and Derrida, who completely moved the creation of the park into the world of thoughts, without accentuating the need for their realization in the material reality. The main topic of these discussions was the problem of the chôra, which was taken up by later commentators and used to interpret the park as a work in which the philosophy of the beginning is manifested relating to issues of politics, morality and religion. The park was therefore interpreted as a space of invention within the scope of creating new rules of functioning of the community and democracy. Thinking about the political future may, however, exceed the horizon of ordinary expectations. Although philosophical thought is always connected with contemporary problems and metaphysics sometimes intertwines with current politics, yet at the same time the customs of philosophy also include crossing horizons and thinking about absolute otherness and impossibility. Initially, the chôra, différance, Absolute Otherness (tout autre) and the Impossibile were concepts of pure philosophy of atheistic character, but with the further development of the discussion, more and more theological motifs began to emerge. One of the reasons for this phenomenon was the fact that radical negations of all being, which were contemplated in contemporary philosophy (by Heidegger and Derrida, among others), had previously been manifested in negative and apophatic theologies (by Master Eckhart, among others). Also the category of the “Other”, taken from Emmanuel Levinas, was clearly connected with the thought about God. A further reason for connecting the chôra with the theological thought was the interest in the philosophy of deconstruction expressed by some theologians. Caputo in particular managed to persuade Derrida to participate in discussions on the current status of religion. In the late period of Derrida’s writing, further statements on religious topics appeared. All these reasons led to posing a question about the identity of the chôra and God. Although there were no satisfactory conclusions on this issue, the discussion was also important to create an interpretation of the park as a place of worship. The chôra, representing, according to Plato, the preoriginal emptiness is the place of every beginning, but it turns out that it is not neutral to the being created in it. The chôra deposits itself in every being as an irremovable beginning that interferes with its stability. The chôra, therefore, forces us into a palintropical movement, but it also turns out to be a pure compulsion, an erring necessity and a fundamental force from which, in the human perception, motifs useful to the individual and to the community are extracted. All definitions of this force, including its anthropomorphisation, are formulated in such a way that they allow for building private and collective morality upon them. Such definitions are changed depending on variable political situations. It is difficult to determine whether in the processes of changes in the formulation of “God’s names” any essential value is retained, which is not subject to change. The current definitions of the chôra (God?), which can be found, for example, in the philosophy of Caputo, stress that she is a combination of various and contradictory forces. This characteristic inherits much of Plato’s concept, reminds us of Master Eckhart’s views on Gottheit and, at the same time, is not unfamiliar to Tschumi, whose essays were an apologia of contradictions. The current concept of chôra, transferred into the sphere of politics, is the praise of social diversity and the protection of the difference from the forces of order. In the Parc de La Villette, the future community and democracy were elevated as a system of safe existence of individuals in all their singularity. The park is a temple of a future community in which individual beings have nothing in common. (shrink)

Abstract Derrida's deconstructive strategy of reading texts can be understood as a way of highlighting the irreducible plurality of discursive meaning that undermines the traditional Western “logocentric“ desire for an absolute point of reference. While his notion of logocentrism was modeled on Heidegger's articulation of the traditional ontotheological framework of Aristotelian metaphysics, Derrida detects a logocentric remnant in Heidegger's own interpretation of gathering ( Versammlung ) as the basic movement of λόγος, discursiveness. However, I suggest that Derrida here touches upon (...) a certain limit of deconstruction. As Derrida himself points out, the “decentering“ effect of deconstruction does not simply abolish the unifying and focalizing function of discourse. Insofar as deconstruction involves reading and interpreting, it cannot completely evade narrative focalization. Rather, both Heidegger and Derrida can be understood as addressing the radical contextuality of all discursive centers and focal points as well as the consequent impossibility of an ultimate and definitive meta narrative. (shrink)

The human body is a system made of systems. The body is divided into bodily systems proper, such as the endocrine and circulatory systems, which are subdivided into many sub-systems at a variety of levels, whereby all systems and subsystems engage in massive causal interaction with each other and with their surrounding environments. Here we offer an explicit definition of bodily system and provide a framework for understanding their causal interactions. Medical sciences provide at best informal accounts of basic notions (...) such as system, process, and function, and while such informality is acceptable in documentation created for human beings, it falls short of what is needed for computer representations. In our analysis we will accordingly provide the framework for a formal definition of bodily system and of associated notions. (shrink)

This paper sums up the fundamental features of intelligence through the common features stated by various definitions of "intelligence": Intelligence is the ability of achieving systematic goals (functions) of brain and nerve system through selecting, and artificial intelligence or machine intelligence is an imitation of life intelligence or a replication of features and functions. Based on the definition mentioned above, this paper discusses and summarizes the development routes of ideas on computable intelligence, including Godel's "universal recursive function", (...) the computation activities of "selection", recursive function and Turing machine, mathematical expression of computable intelligence, core nature of computable intelligence, and computability and strong artificial intelligence. At the end of this paper is the conclusion drawn by the authors. (shrink)

Alvin Plantinga’s Warrant and Proper Function gives two major definitions of warrant. One states that reliable cognitive faculties aimed at true belief and functioning properly in the right environment are necessary and sufficient for warrant; the other definition only states that they are necessary. The latter definition is the more important one. There are different kinds of knowledge, and justification is necessary for some beliefs to be warranted. Even a belief warranted by proper function can receive a higher degree (...) of warrant by justification. This implies that natural theology has a useful role within the contours of a Plantingian epistemology. (Please note that the pagination here does not match the pagination in the published edition.). (shrink)

The aim of this paper is to develop a new connection between naming and necessity. I argue that Kripke’s historical account of naming presupposes the functional necessity of naming. My argument appeals to the etiological notion of function, which can be thought to capture the necessity of functionality in historical terms. It is shown that the historical account of naming entails all conditions in an etiological definition of function.