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)

The free-energy principle states that all systems that minimize their free energy resist a tendency to physical disintegration. Originally proposed to account for perception, learning, and action, the free-energy principle has been applied to the evolution, development, morphology, anatomy and function of the brain, and has been called a postulate, an unfalsifiable principle, a natural law, and an imperative. While it might afford a theoretical foundation for understanding the relationship between environment, life, and mind, its epistemic status is unclear. (...) Also unclear is how the free-energy principle relates to prominent theoretical approaches to life science phenomena, such as organicism and mechanism. This paper clarifies both issues, and identifies limits and prospects for the free-energy principle as a first principle in the life sciences. (shrink)

Nietzsche talks about shame [scham*, schmach*, schand*] in all of his published and authorized works, from The Birth of Tragedy to Ecce Homo. He refers to shame in over one hundred passages – at least five times as often as he refers to resentment/ressentiment. Yet the scholarly literature on Nietzsche and shame includes just a handful of publications, while the literature on Nietzsche and resentment includes over a thousand. Arguably, this disproportionate engagement has been driven by the fact that English (...) translations of Nietzsche’s writings systematically italicize and transliterate ‘ressentiment’ rather than treating it as the normal word it is. In any case, this chapter aims to fill the gap in the secondary literature by using digital humanities methods to systematically investigate the functions of shame in Nietzsche’s writings. I argue that Nietzsche is ambivalent about shame, depending on the function that it serves. There are four main functions. First, in a society of near-equals, it regulates interactions and incentives in ways that preserve game-theoretic equilibria. Second and relatedly, Nietzsche associates the capacity to experience nuanced and appropriate feelings of shame – and to anticipate them in others – with the pathos of distance, a virtue that he associates with nobility. Third, when shame is directed towards fixed aspects of human nature, it transforms those aspects into vices; by contrast, when it is directed towards malleable aspects of human nature, it may foster self-improvement and virtue. Nietzsche frequently laments the way that shame targets immutable aspects of ourselves. Finally and relatedly, Nietzsche casts counter-shame on those who would direct first-order shame on fixed aspects of human nature, as well as a paradoxical form of uplifting shame on their victims. If this is right, then Nietzsche does not offer a univocal verdict on shame. Instead, like many other emotions and emotional capacities, shame is inescapable, complex, and function-relative. (shrink)

Recently, Piccinini and Craver have stated three theses concerning the relations between functional analysis and mechanistic explanation in cognitive sciences: No Distinctness: functional analysis and mechanistic explanation are explanations of the same kind; Integration: functional analysis is a kind of mechanistic explanation; and Subordination: functional analyses are unsatisfactory sketches of mechanisms. In this paper, I argue, first, that functional analysis and mechanistic explanations are sub-kinds of explanation by scientific (idealized) models. From that point of view, we must take into (...) account the tradeoff between the representational/explanatory goals of generality and precision that govern the practice of model-building. In some modeling scenarios, it is rational to maximize explanatory generality at the expense of mechanistic precision. This tradeoff allows me to put forward a problem for the mechanist position. If mechanistic modeling endorses generality as a valuable goal, then Subordination should be rejected. If mechanists reject generality as a goal, then Integration is false. I suggest that mechanists should accept that functional analysis can offer acceptable explanations of cognitive phenomena. (shrink)

Various prominent theories of pain assume that it is pain’s biological function to inform organisms about damage to their bodies. I argue that this is a mistake. First, there is no biological evidence to support the notion that pain was originally selected for its informative capacities, nor that it currently contributes to the fitness of organisms in this specific capacity. Second, neurological evidence indicates that modulating mechanisms in the nociceptive system systematically prevent pain from serving a primarily informative (...) role. These considerations threaten to undermine standard perceptual and representational accounts of pain. (shrink)

In the article I discuss functionalist interpretations of Husserlian phenomenology. The first one was coined in the discussion between Hubert Dreyfus and Ronald McIntyre. They argue that Husserl’s phenomenology shares similarities with computational functionalism, and the key similarity is between the concept of noema and the concept of mental representation. I show the weaknesses of that reading and argue that there is another available functionalist reading of Husserlian phenomenology. I propose to shift perspective and approach the relation between phenomenology (...) and functionalism from a methodological perspective, specifically taking into account the functionalist explanatory strategy called functional analysis. I discuss the notion of function in Husserl’s works and Husserl’s idea of functional phenomenology. The key argument I develop is that in functional phenomenology we can find an explanatory strategy which is analogous to the strategy of functional decomposition used in functional analysis. I conclude that the proposed functionalist reading of phenomenology opens a new approach to the integration of phenomenology with cognitive sciences. (shrink)

A common misunderstanding of the selected effects theory of function is that natural selection operating over an evolutionary time scale is the only functionbestowing process in the natural world. This construal of the selected effects theory conflicts with the existence and ubiquity of neurobiological functions that are evolutionary novel, such as structures underlying reading ability. This conflict has suggested to some that, while the selected effects theory may be relevant to some areas of evolutionary biology, its relevance to neuroscience (...) is marginal. This line of reasoning, however, neglects the fact that synapses, entire neurons, and potentially groups of neurons can undergo a type of selection analogous to natural selection operating over an evolutionary time scale. In the following, I argue that neural selection should be construed, by the selected effect theorist, as a distinct type of function-bestowing process in addition to natural selection. After explicating a generalized selected effects theory of function and distinguishing it from similar attempts to extend the selected effects theory, I do four things. First, I show how it allows one to identify neural selection as a distinct function-bestowing process, in contrast to other forms of neural structure formation such as neural construction. Second, I defend the view from one major criticism, and in so doing I clarify the content of the view. Third, I examine drug addiction to show the potential relevance of neural selection to neuroscientific and psychological research. Finally, I endorse a modest pluralism of function concepts within biology. (shrink)

Much recent discussion has focused on the nature of artifacts, particularly on whether artifacts have essences. While the general consensus is that artifacts are at least intention-dependent, an equally common view is function essentialism about artifacts, the view that artifacts are essentially functional objects and that membership in an artifact kind is determined by a particular, shared function. This paper argues that function essentialism about artifacts is false. First, the two component conditions of function essentialism (...) are given a clear and precise formulation, after which counterexamples are offered to each. Second, ways to handle the counterexamples suggested by Randall Dipert and Simon Evnine are considered and rejected. Third, I then consider the prospects for restricting function essentialism to so-called technical artifacts, as Lynne Baker does, and argue that this, too, fails. This paper thereby consolidates the scattered literature on function essentialism and shows that, despite the seeming plausibility of the thesis, it should be rejected as an account of artifact essences. (shrink)

It is suggested that the relationship between visual attention and conscious visual experience can be simplified by distinguishing different aspects of both visual attention and visual experience. A set of principles is first proposed for any possible taxonomy of the processes involved in visual attention. A particular taxonomy is then put forward that describes five such processes, each with a distinct function and characteristic mode of operation. Based on these, three separate kinds—or possibly grades—of conscious visual experience can (...) be distinguished, each associated with a particular combination of attentional processes. (shrink)

There is an under-appreciated tradition of genealogical explanation that is centrally concerned with social functions. I shall refer to it as the tradition of pragmatic genealogy. It runs from David Hume (T, 3.2.2) and the early Friedrich Nietzsche (TL) through E. J. Craig (1990, 1993) to Bernard Williams (2002) and Miranda Fricker (2007). These pragmatic genealogists start out with a description of an avowedly fictional “state of nature” and end up ascribing social functions to particular building blocks of our practices (...) – such as the fact that we use a certain concept, or live by a certain virtue – which we did not necessarily expect to have such a function at all. That the seemingly archaic device of a fictional state-of-nature story should be a helpful way to get at the functions of our actual practices must seem a mystifying proposal, however; I shall therefore endeavor to demystify it in what follows. My aim in this chapter is twofold. First, by delineating the framework of pragmatic genealogy and contrasting it with superficially similar methods, I argue that pragmatic genealogies are best interpreted as dynamic models whose point is to reveal the function – and non-coincidentally often the social function – of certain practices. Second, by buttressing this framework with something it notably lacks, namely an account of the type of functionality it operates with, I argue that both the type of functional commitment and the depth of factual obligation incurred by a pragmatic genealogy depend on what we use the method for: the dynamic models of pragmatic genealogy can be used merely as heuristic devices helping us spot functional patterns, or more ambitiously as arguments grounding our ascriptions of functionality to actual practices, or even more ambitiously as bases for functional explanations of the resilience or the persistence of practices. By bringing these distinctions into view, we gain the ability to distinguish strengths and weaknesses of the method’s application from strengths and weaknesses of the method itself. (shrink)

This paper examines three reasons to think that Craig's genealogy of the concept of knowledge is incompatible with knowledge-first epistemology and finds that far from being incompatible with it, the genealogy lends succour to it. This reconciliation turns on two ideas. First, the genealogy is not history, but a dynamic model of needs. Secondly, by recognizing the continuity of Craig's genealogy with Williams's genealogy of truthfulness, we can see that while both genealogies start out from specific needs explaining (...) what drives the development of certain concepts rather than others, they then factor in less specific needs which in reality do not come later at all, and which have also left their mark on these concepts. These genealogies thereby reveal widespread functional dynamics driving what I call the de-instrumentalization of concepts, the recognition of which adds to the plausibility of such instrumentalist approaches to concepts. (shrink)

This paper defends an account of forgiveness that is sensitive to recent work on anger. Like others, we claim anger involves an appraisal, namely that someone has done something wrong. But, we add, anger has two further functions. First, anger communicates to the wrongdoer that her act has been appraised as wrong and demands she feel guilty. This function enables us to explain why apologies make it reasonable to forgo anger and forgive. Second, anger sanctions the wrongdoer for (...) what she has done. This function allows us to explore the moral status of forgiveness, including why forgiveness is typically elective. (shrink)

This paper puts forward an account of blame combining two ideas that are usually set up against each other: that blame performs an important function, and that blame is justified by the moral reasons making people blameworthy rather than by its functionality. The paper argues that blame could not have developed in a purely instrumental form, and that its functionality itself demands that its functionality be effaced in favour of non-instrumental reasons for blame—its functionality is self-effacing. This notion is (...) sharpened and it is shown how it offers an alternative to instrumentalist or consequentialist accounts of blame which preserves their animating insight while avoiding their weaknesses by recasting that insight in an explanatory role. This not only allows one to do better justice to the authority and autonomy of non-instrumental reasons for blame, but also reveals that autonomy to be a precondition of blame’s functionality. Unlike rival accounts, it also avoids the “alienation effect” that renders blame unstable under reflection by undercutting the authority of the moral reasons which enable it to perform its function in the first place. It instead yields a vindicatory explanation that strengthens our confidence in those moral reasons. (shrink)

In this paper, a horizontally moving suspended mass pendulum base is designed and controlled using robust control theory. H  optimal loop shaping with first and second order desired loop shaping function controllers are used to improve the performance of the system using Matlab/Simulink Toolbox. Comparison of the H  optimal loop shaping with first and second order desired loop shaping function controllers for the proposed system have been done to track the desired angular position of (...) the pendulum using step and sine wave input signals and a promising result has been obtained succesfully. (shrink)

Functional reductionism concerning mental properties has recently been advocated by Jaegwon Kim in order to solve the problem of the 'causal exclusion' of the mental. Adopting a reductionist strategy first proposed by David Lewis, he regards psychological properties as being 'higher-order' properties functionally defined over 'lower-order' properties, which are causally efficacious. Though functional reductionism is compatible with the multiple realizability of psychological properties, it is blocked if psychological properties are subdivided or crosscut by neurophysiological properties. I argue that there (...) is recent evidence from cognitive neuroscience that shows that this is the case for the psychological property of fear. Though this may suggest that some psychological properties should be revised in order to conform to those of neurophysiology, the history of science demonstrates that this is not always the outcome, particularly with properties that play an important role in our folk theories and are central to human concerns. (shrink)

It is generally argued that if the wave-function in the de Broglie–Bohm theory is a physical field, it must be a field in configuration space. Nevertheless, it is possible to interpret the wave-function as a multi-field in three-dimensional space. This approach hasn’t received the attention yet it really deserves. The aim of this paper is threefold: first, we show that the wave-function is naturally and straightforwardly construed as a multi-field; second, we show why this interpretation is (...) superior to other interpretations discussed in the literature; third, we clarify common misconceptions. (shrink)

This paper discusses whether rationality, morality or prudence impose process-requirements upon us. It has been argued that process-requirements fulfil two essential functions within a system of rational, moral or prudential requirements. These functions are considered to prove the existence of process-requirements. First, process-requirements are deemed necessary to ensure that rationality, morality or prudence can guide our deliberations and actions. Second, their existence is regarded as essential for the correctness of our ordinary explanations of why a person possesses a certain (...) degree of morality, rationality or prudence. However, I argue that these two functions are unable to show the existence of process-requirements. Instead, I propose a different essential function for process-requirements: they are necessary for attributing the correct degree of rationality, morality or prudence to a subject who is not entirely rational, moral or prudent. This function, I argue, necessitates the existence of process-requirements. (shrink)

Both physiological and evolutionary criteria of biological individuality are underpinned by the idea that an individual is a functionally integrated whole. However, a precise account of functional integration has not been provided so far, and current notions are not developed in the details, especially in the case of composite systems. To address this issue, this paper focuses on the organisational dimension of two representative associations of prokaryotes: biofilms and the endosymbiosis between prokaryotes. Some critical voices have been raised against the (...) thesis that biofilms are biological individuals. Nevertheless, it has not been investigated which structural and functional obstacles may prevent them from being fully integrated physiological or evolutionary units. By contrast, the endosymbiotic association of different species of prokaryotes has the potential for achieving a different type of physiological integration based on a common boundary and interlocked functions. This type of association had made it possible, under specific conditions, to evolve endosymbionts into fully integrated organelles. This paper therefore has three aims: first, to analyse the organisational conditions and the physiological mechanisms that enable integration in prokaryotic associations; second, to discuss the organisational differences between biofilms and prokaryotic endosymbiosis and the types of integration they achieve; finally, to provide a more precise account of functional integration based on these case studies. (shrink)

The purpose of this chapter is to determine what is to remember something, as opposed to imagining it, perceiving it, or introspecting it. What does it take for a mental state to qualify as remembering, or having a memory of, something? The main issue to be addressed is therefore a metaphysical one. It is the issue of determining which features those mental states which qualify as memories typically enjoy, and those states which do not qualify as such typically lack. In (...) sections 2 and 3, I will discuss the two main existing conceptions of the conditions that a mental state must satisfy to count as an episode of remembering. The first of these approaches is backward-looking. It puts forward conditions that strictly concern the aetiology of the mental state. I will argue that the conditions offered by the backward-looking approach are both too strong and too weak: They rule out mental states which, intuitively, count as memories while including mental states which, intuitively, do not qualify as memories. The second approach is forward-looking. It puts forward conditions that only concern the use that the subject makes of the mental state while forming beliefs about their own life. I will argue that the conditions proposed by the forward-looking approach are both too weak and too strong as well. However, the discussion of the two approaches will allow us to extract some helpful lessons on the constraints that any proposal about the nature of remembering should respect. An alternative approach aimed at incorporating those lessons will be offered in section 4 by drawing on the literature on functionalism. In section 5, I will argue that this approach can, on the one hand, accommodate as memories those mental states which indicate that the backward-looking approach and the forward-looking approach are too strict while, on the other hand, excluding those mental states which suggest that the two alternative approaches are too permissive. Accordingly, I will conclude that construing memory along functionalist lines is a satisfactory approach to the nature of remembering. (shrink)

I provide two arguments against value-free naturalism. Both are based on considerations concerning biological teleology. Value-free naturalism is the thesis that both (1) everything is, at least in principle, under the purview of the sciences and (2) all scientific facts are purely non-evaluative. First, I advance a counterexample to any analysis on which natural selection is necessary to biological teleology. This should concern the value-free naturalist, since most value-free analyses of biological teleology appeal to natural selection. My counterexample is (...) unique in that it is likely to actually occur. It concerns the creation of synthetic life. Recent developments in synthetic biology suggest scientists will eventually be able to develop synthetic life. Such life, however, would not have any of its traits naturally selected for. Second, I develop a simple argument that biological teleology is a scientific but value-laden notion. Consequently, value-free naturalism is false. I end with some concluding remarks on the implications for naturalism, the thesis that (1). Naturalism may be salvaged only if we reject (2). (2) is a dogma that unnecessarily constrains our conception of the sciences. Only a naturalism that recognizes value-laden notions as scientifically respectable can be true. Such a naturalism is a functional naturalism. (shrink)

Deflationists claim that the truth predicate was introduced into our language merely to full a certain logico-linguistic function. Oddly enough, the question what this function exactly consists in has received little attention. We argue that the best way of understanding the function of the truth predicate is as enabling us to mimic higher-order quantification in a first-order framework. Indeed, one can show that the full simple theory of types is reducible to disquotational principles of truth. Our (...) analysis has important consequences for our understanding of truth. In this paper, we can only touch on one of them: we will argue that the insubstantiality of truth does not imply a conservativity requirement on our best theories of truth. (shrink)

Abu Nasr Muhammad Al-Farabi (870–950 AD), the second outstanding representative of the Muslim peripatetic after al Kindi (801–873 AD), was born in Turkestan about 870 AD. Al-Farabi’s studies commenced in Farab, then he travelled to Baghdad, where he studied logic with a Christian scholar named Yuhanna b. Hailan. Al-Farabi wrote numerous works dealing with almost every branch of science in the medieval world. In addition to a large number of books on logic and other sciences, he came to be known (...) as the “Second Teacher” (al-Mou’allim al-Thani), Aristotle being the first. One of Al-Farabi’s most important contributions was clarifying the func- tions of logic as follows: 1. He defined logic and compared it with grammar, and discussed the clas- sification and fundamental principles of science in a unique and useful manner. 2. He made the study of logic easier by dividing it into two categories: Takhayyul (idea) and Thubut (proof). 3. He believed that the objective of logic is to correct faults we may find in ourselves and in others, and faults that others find in us. 4. He said that if we do not comprehend logic, we must either have faith in all people, or mistrust all people, or differentiate between them. Such actions would be undertaken without a basis of evidence or experimen- tation. In this paper, I will analyse the functions of logic in Al-Farabi’s works, Enumeration of the Sciences, Book on the Syllogism, Book on Dialectic, Book on Demonstration and Ring Stones of Wisdom, in order to present his contributions in the field of logic. (shrink)

Hilary Putnam once suggested that “the actual existence of sets as ‘intangible objects’ suffers… from a generalization of a problem first pointed out by Paul Benacerraf… are sets a kind of function or are functions a sort of set?” Sadly, he did not elaborate; my aim, here, is to do so on his behalf. There are well-known methods for treating sets as functions and functions as sets. But these do not raise any obvious philosophical or foundational puzzles. For (...) that, we first need to provide a full-fledged function theory. I supply such a theory: it axiomatizes the iterative notion of function in exactly the same sense that ZF axiomatizes the iterative notion of set. Indeed, this function theory is synonymous with ZF. It might seem that set theory and function theory present us with rival foundations for mathematics, since they postulate different ontologies. But appearances are deceptive. Set theory and function theory provide the very same judicial foundation for mathematics. They do not supply rival metaphysical foundations; indeed, if they supply metaphysical foundations at all, then they supply the very same metaphysical foundations. (shrink)

In this paper, I critically assess different interpretations of Bohmian mechanics that are not committed to an ontology based on the wave function being an actual physical object that inhabits configuration space. More specifically, my aim is to explore the connection between the denial of configuration space realism and another interpretive debate that is specific to Bohmian mechanics: the quantum potential versus guidance approaches. Whereas defenders of the quantum potential approach to the theory claim that Bohmian mechanics is better (...) formulated as quasi-Newtonian, via the postulation of forces proportional to acceleration; advocates of the guidance approach defend the notion that the theory is essentially first-order and incorporates some concepts akin to those of Aristotelian physics. Here I analyze whether the desideratum of an interpretation of Bohmian mechanics that is both explanatorily adequate and not committed to configuration space realism favors one of these two approaches to the theory over the other. Contrary to some recent claims in the literature, I argue that the quasi-Newtonian approach based on the idea of a quantum potential does not come out the winner. (shrink)

This article offers an overview of the main first-order ethical questions raised by robots and Artificial Intelligence (RAIs) under five broad rubrics: functionality, inherent significance, rights and responsibilities, side-effects, and threats. The first letter of each rubric taken together conveniently generates the acronym FIRST. Special attention is given to the rubrics of functionality and inherent significance given the centrality of the former and the tendency to neglect the latter in virtue of its somewhat nebulous and contested character. (...) In addition to exploring some illustrative issues arising under each rubric, the article also emphasizes a number of more general themes. These include: the multiplicity of interacting levels on which ethical questions about RAIs arise, the need to recognise that RAIs potentially implicate the full gamut of human values (rather than exclusively or primarily some readily identifiable sub-set of ethical or legal principles), and the need for practically salient ethical reflection on RAIs to be informed by a realistic appreciation of their existing and foreseeable capacities. -/- . (shrink)

Over the last two decades there has been a growing interest in the transcendental dialectic of Critique of Pure Reason in Germany. Authors, however, often do not pay enough attention to the fact that Kant’s theory of reason (in the narrow sense) and the concept of ideas derived from it is not limited to this text. The purpose of this article is to compare and analyze the functionality of mind as a subjective ability developed by Kant and Fichte with the (...) Hegelian expansion of the mind to the idea of universal rationality. The relevance of such a comparison is connected with the need to demonstrate how the Hegelian paradigm of absolute rationality causes either the subsequent rejection of reason as a philosophical principle in the 19th and´20th centuries counter-discourse, or reduction of reason to the concept of pragmatic rationality. In the first part of this paper, the author intends to differentiate between at least 7 different types of ideas and their functions in Kant’s works. In the second part, he demonstrates how Fichte tries to systematize them beginning with reason, which at first creates an idea of itself. Special attention is paid to the way that Fichte categorizes them with the help of 5 spheres of action or 5 worldviews. The third and final part of the article discusses how Hegel goes beyond the frame of the transcendental philosophy of consciousness using different demands linked to the concepts of “reason” and “ideas”. Although these requirements are not found in Kant and Fichte, they entail a set of difficulties, which the author considers in conclusion. The author’s interpretation of the theory of ideas and their functions in Kant, Fichte and Hegel demonstrates the dynamic character of the theories of reason in classical German philosophy, as well as the relevance of the 7 types of ideas that retain their significance for philosophy of the 21st century. Keywords: Kant and German idealism, types of ideas, functions of reason, worldviews, the problem of different demands. В Германии на протяжении последних двух десятилетий возрос интерес к трансцендентальной диалектике «Критики чистого разума». Однако авторы часто не обращают внимания на то, что кантовская теория разума (в узком смысле), в которой разворачивается работа с идеями, не ограничивается этим текстом. Целью данной статьи является сравнительный анализ разработанной Кантом и Фихте функциональности разума как субъективной способности с гегелевским расширением разума до идеи всеобщей разумности. Актуальность такого сравнения связана с необходимостью продемонстрировать то, каким образом гегелевская парадигма абсолютной разумности вызывает либо последующий отказ от разума как философского принципа в контрдискурсе XIX–XX вв., либо редукцию разума к понятию прагматической рациональности. В первой части данной статьи вводится различение по меньшей мере семи различных видов идей и связанных с ними функций в философии Канта. Во второй части демонстрируется попытка Фихте их систематизировать исходя из утверждения том, что разум должен сначала создать идею о самом себе. Проанализировано также предложенное Фихте распределение идей на пять сфер действенности или типов мировоззрения. В третьей, итоговой части статьи рассмотрен выход гегелевской мысли за рамки трансцендентальной философии сознания. Автор статьи связывает этот процесс с выдвижением не осуществимых в контексте философии Канта и Фихте требований к понятиям «разум» и «идея» и анализирует ряд сложностей, вызванных этими требованиями. Таким образом, интерпретация учения об идеях и их функциях у Канта, Фихте и Гегеля демонстрирует динамический характер теорий разума в классической немецкой философии и актуальность семи видов идей, которые сохраняют свое значение для философии XXI в. Ключевые слова: Кант и немецкий идеализм, виды идей, функции разума, мировоззрение, проблема различных требований. (shrink)

Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated (...) by a successor function and the fact that equality between numbers can be defined in an exact fashion. We discuss some recent findings assessing how speakers of Munduruc (an Amazonian language), and young Western children (3-4 years old) understand these fundamental properties of numbers. (shrink)

I propose a rational reconstruction of the early quantum theory (1900–1913) in terms of the ideas presented by Ernst Cassirer. Specifically, I propose to reconsider the early quantum theory through the lens of the method of conceptual functionalization that Ernst Cassirer laid down in his Substance and Function (S&F, 1910) and he later refined in Determinism and Indeterminism in Modern Physics (D&I, 1937). Following Cassirer’s functional interpretation of natural sciences, it is my primary concern to reconsider the conceptual evolution (...) of Planck’s quantum of action from 1900 to 1913. In this regard, I shall emphasize the importance of the quantum of action (Planck’s constant) in the architectonic structure of the early quantum theory, in the role of an element of fundamental continuity between the first quantum theory and the formulation by Niels Bohr of the first atomic theory. (shrink)

The Structure of Scientific Revolutions represented a milestone in the attempt to understand scientific development based on empirical observations. However, in the next decades after the publication of his book, history, psychology, and sociology became increasingly marginal in Kuhn’s discussions. In his last articles, Kuhn even suggested that philosophers should pay less attention to empirical data and focus more on “first principles.” The purpose of this article is, first, to describe this radical transformation in Kuhn’s methodological approach, from (...) his initial naturalism to his later and more strict philosophical stance. Next, I present some of the alleged justifications for explaining this transition, such as his interest in problems more firmly attached to the philosophical tradition and a desire for greater acceptance within this community. Although these factors certainly played a role in explaining Kuhn’s change, I also believe that an important theoretical component exerts a fundamental function in this transition: the idea that scientific development is a kind of evolutionary process, which is better understood through the use of abstract theoretical models, instead of sparse observations of scientific activity. (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)

In §21 of Grundgesetze der Arithmetik asks us to consider the forms: a a2 = 4 and a a > 0 and notices that they can be obtained from a φ(a) by replacing the function-name placeholder φ(ξ) by names for the functions ξ2 = 4 and ξ > 0 (and the placeholder cannot be replaced by names of objects or of functions of 2 arguments).

In this paper I investigate, within the framework of realistic interpretations of the wave function in nonrelativistic quantum mechanics, the mathematical and physical nature of the wave function. I argue against the view that mathematically the wave function is a two-component scalar field on configuration space. First, I review how this view makes quantum mechanics non- Galilei invariant and yields the wrong classical limit. Moreover, I argue that interpreting the wave function as a ray, in (...) agreement many physicists, Galilei invariance is preserved. In addition, I discuss how the wave function behaves more similarly to a gauge potential than to a field. Finally I show how this favors a nomological rather than an ontological view of the wave function. (shrink)

Assembly of minimal genomes revealed many genes encoding unknown functions. Three overlooked functional categories account for some of them. Cells are prone to make errors and age. As a first key function, discrimination between proper and changed entities is indispensable. Discrimination requires management of information, an authentic, yet abstract, cur- rency of reality. For example proteins age, sometimes very fast. The cell must identify, then get rid of old proteins without destroying young ones. Implementing discrimination in cells leads (...) to the second set of functions, usually ignored. Being abstract, information must nevertheless be embodied into material entities, with unavoidable idiosyncratic properties. This brings about novel unmet needs. Hence, the buildup of cells elicits specific but awkward material implementations, ‘kludges’ that become essential under particular settings, while difficult to identify. Finally, a third functional category char- acterizes the need for growth, with metabolic implementations allowing the cell to put together the growth of its cytoplasm, membranes, and genome, spanning different spatial dimensions. Solving this metabolic quandary, critical for engineering novel synthetic biology chassis, uncovered an unexpected role for CTP synthetase as the coordinator of nonhomothetic growth. Because a significant number of SynBio constructs aim at creating cell factories we expect that they will be attacked by viruses (it is not by chance that the function of the CRISPR system was identified in industrial settings). Substantiating the role of CTP, natural selection has dealt with this hurdle via synthesis of the antimetabolite 30-deoxy-30,40-didehydro- CTP, recruited for antiviral immunity in all domains of life. (shrink)

What are the nature and status of moral norms? And what makes individuals abide by them? These are central questions in metaethics. The first concerns the nature of the moral domain—for example, whether it exists independently of what individuals or groups think of it. The second concerns the bindingness or practical clout of moral norms—how individuals feel impelled to abide by them. In this article, I bring two distinct approaches to these questions into dialogue with one another.

Nominalists are confronted with a grave difficulty: if abstract objects do not exist, what explains the success of theories that invoke them? In this paper, I make headway on this problem. I develop a formal language in which certain platonistic claims about properties and certain nominalistic claims can be expressed, develop a formal language in which only certain nominalistic claims can be expressed, describe a function mapping sentences of the first language to sentences of the second language, and (...) prove some facts about that function and facts about some sound logics for those languages. In doing so, I prove that, given some plausible metaphysical assumptions, a large class of sentences about properties of concrete objects are “safe” on nominalistic grounds. Whenever some true sentences about concrete objects and some sentences belonging to this class that are true according to platonists collectively entail a conclusion about concrete objects, some nominalistically acceptable sentences are true and entail the same conclusion. Because the proof can itself be formulated without abstract objects, it provides a nominalistic explanation of the success of theories that invoke properties of concrete objects. (shrink)

Background: In order to determine the pathophysiology of tinnitus and deciding on treatment, the function of peripheral hearing organs is very important. -/- Objective: To evaluate the cochlear functions in tinnitus patients with or without hearing-loss(HL). -/- Methods: Participants with tinnitus were divided into two groups; 16 participants with accompanying HL were included in the first study group (SG-I), and 15 participants without HL were included in the second group (SG-II). 21 normal-hearing subjects without tinnitus included as control (...) group(CG). Tinnitus discomfort levels was determined with Tinnitus Handicap Inventory(THI). Besides pure-tone audiometry, Otoacoustic Emissions, to evaluate cochlear functions and to decide dead regions (DR), Threshold Equalizing Noise-(TEN) was used. -/- Results: The threshold-shift was observed with TEN in subjects in SG-I and these levels were statistically different from SG-II and CG. There were both threshold-shift and DR in SG-II according to TEN. TEOAEs did not differ between SG-II and CG. The DPOAE results for SG-II showed significant decreases in emission amplitudes at 6 & 8 kHz. -/- Conclusion: While Tinnitus patients with HL can be evaluated with conventional tests, evaluating patients with normal hearing tinnitus with additional tests such as OAE and TEN allows us to get more precise results on the functions of peripheral hearing organs. (shrink)

Counterfactual thinking—the capacity to reflect on what would, could, or should have been if events had transpired differently—is a pervasive, yet seemingly paradoxical human tendency. On the one hand, counterfactual thoughts can be comforting and inspiring (Carroll & Shepperd, Chapter 28), but on the other they can be anxiety provoking and depressing (Zeelenberg & Pieters, Chapter 27). Likewise, such thoughts can illuminate pathways toward better future outcomes (Wong, Galinsky, & Kray, Chapter 11), yet they can also promote confusion and lead (...) us astray (Sanna, Schwarz, & Kennedy, Chapter 13). The first part of this chapter focuses on work that supports the prevailing Zeitgeist in the counterfactual thinking literature: Counterfactual thinking is beneficial. The second part of the chapter, however, strikes a more cautionary tone by reviewing work that describes some deleterious consequences of counterfactual thinking. We conclude by offering a tentative reconciliation of these conflicting perspectives and suggesting directions for future research. (shrink)

I discuss three understandings of the idea of “Knowledge First Epistemology”, i.e. Timothy Williamson’s suggestion that we should take knowledge as a starting point, rather than trying to analyze it. Some have taken this to be a suggestion about the role of the concept of knowledge, but Williamson also seems to be concerned with intuition-based metaphysics. As an alternative, I develop the idea that knowledge may be a social kind that can be understood through a functional analysis in the (...) tradition of Edward Craig. (shrink)

The meaning of the wave function and its evolution are investigated. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due to the requirements (...) of spacetime translation invariance and relativistic invariance. Thirdly, we argue that the random discontinuous motion of particles may lead to a stochastic, nonlinear collapse evolution of the wave function. A discrete model of energy-conserved wavefunction collapse is proposed and shown consistent with existing experiments and our macroscopic experience. Besides, we also give a critical analysis of the de Broglie-Bohm theory, the many-worlds interpretation and other dynamical collapse theories, and briefly discuss the issues of unifying quantum mechanics and relativity. (shrink)

In this book, for the first time, authors try to introduce the concept of linguistic variables as a continuum of linguistic terms/elements/words in par or similar to a real continuum. For instance, we have the linguistic variable, say the heights of people, then we place the heights in the linguistic continuum [shortest, tallest] unlike the real continuum (–∞, ∞) where both –∞ or +∞ is only a non-included symbols of the real continuum, but in case of the linguistic continuum (...) we generally include the ends or to be more mathematical say it is a closed interval, where shortest denotes the shortest height of a person, maybe the born infant who is very short from usual and the tallest will denote the tallest one usually very tall; however this linguistic continuum [shortest, tallest] in the real continuum will be the closed interval say [1 foot, 8 feet] or [1, 8] the measurement in terms of feet. So, the real interval is a subinterval with which we have associated the real continuum in terms of qualifying unit feet and inches in this case. (shrink)

We evaluated the reliability, validity, and differential item functioning (DIF) of a shorter version of the Defining Issues Test-1 (DIT-1), the behavioral DIT (bDIT), measuring the development of moral reasoning. 353 college students (81 males, 271 females, 1 not reported; age M = 18.64 years, SD = 1.20 years) who were taking introductory psychology classes at a public University in a suburb area in the Southern United States participated in the present study. First, we examined the reliability of the (...) bDIT using Cronbach’s α and its concurrent validity with the original DIT-1 using disattenuated correlation. Second, we compared the test duration between the two measures. Third, we tested the DIF of each question between males and females. Findings reported that first, the bDIT showed acceptable reliability and good concurrent validity. Second, the test duration could be significantly shortened by employing the bDIT. Third, DIF results indicated that the bDIT items did not favour any gender. Practical implications of the present study based on the reported findings are discussed. (shrink)

This article aims to establish an understanding of Merleau-Ponty’s view of creative expression, and of its phenomenological function, setting out from the intriguing statement in his essay “Cézanne’s Doubt” that the painter (or writer or philosopher) finds himself in the situation of the first human being trying to express herself. Although the importance of primary or creative expression in Merleau-Ponty’s philosophy is well known, there is no consensus among commentators with respect to how this notion is to be (...) understood, and of its apparently paradoxical relation to experience in his philosophy. On the one hand, Merleau-Ponty seems to presuppose that there is an original meaning pre-given in experience; on the other hand, expression is described as a hazardous enterprise, because the meaning to be expressed does not exist before expression has succeeded. In order to resolve this tension, I explore the significance of the precariousness of creative expression, arguing that it must be related to its other side: the constituted, all too often petrified meaning that we must start out from. (shrink)

How surprising is the insight, that being equals I in the 15th lecture of the Doctrine of Science 1804/II? It might have been indeed an unexpected turn for his contemporaries in Berlin listening to Fichte for the first time, but should it be surprising for us, having at least since 2012 (the year the last volume of [Gesamtausgabe] appeared) access to all his published and unpublished works? I want to propose a way of reading Fichte, which bypasses two popular (...) and contradictory interpretations of his philosophy in the post-Jena period: (a) the Absolute is the new first principle (hence the I is just a shadow of the much higher being) and (b) his system basically remains unchanged (hence the being is nothing more than the I). At first, I analyze the functions of later Fichte’s improved version of the Kantian and Reinholdian abstract subject-object-symbolism and assign specific content to it. This will shed light on the structure and the first principle of the Doctrine of Science 1804/II. In the second section I give reasons why Fichte calls both God and I “absolute” and “pure being” and explain their relation to each other referring to a thought experiment sometimes used by Kant—an analogy between the divine and human (pure) reason. The analogical thinking of this kind remains within the borders of transcendental philosophy as long as it is used only for certain didactic purposes. (shrink)

This paper presents a new reconstruction of Wittgenstein’s famous (and controversial) rule-following arguments. Two are the novel features offered by our reconstruction. In the first place, we propose a shift of the central focus of the discussion, from the general semantics and the philosophy of mind to the philosophy of mathematics and the rejection of the notion of a function. The second new feature is positive: we argue that Wittgenstein offers us a new alternative notion of a rule (...) (to replace the rejected functions), a notion reminiscent of Category Theory’s notion of a morphism. (shrink)

It is widely accepted that the way information transfers across networks depends importantly on the structure of the network. Here, we show that the mechanism of information transfer is crucial: in many respects the effect of the specific transfer mechanism swamps network effects. Results are demonstrated in terms of three different types of transfer mechanism: germs, genes, and memes. With an emphasis on the specific case of transfer between sub-networks, we explore both the dynamics of each of these across networks (...) and a measure of their comparative fitness. Germ and meme transfer exhibit very different dynamics across linked networks. For germs, measured in terms of time to total infection, network type rather than degree of linkage between sub-networks is the primary factor. For memes or belief transfer, measured in terms of time to consensus, it is the opposite: degree of linkage trumps network type in importance. The dynamics of genetic information transfer is unlike either germs or memes. Transfer of genetic information is robust across network differences to which both germs and memes prove sensitive. We also consider function: how well germ, gene, and meme transfer mechanisms can meet their respective objectives of infecting the population, mixing and transferring genetic information, and spreading a message. A shared formal measure of fitness is introduced for purposes of comparison, again with an emphasis on linked sub-networks. Meme transfer proves superior to transfer by genetic reproduction on that measure, with both memes and genes superior to infection dynamics across all networks types. What kinds of network structure optimize fitness also differ among the three. Both germs and genes show fairly stable fitness with added links between sub-networks, but genes show greater sensitivity to the structure of sub-networks at issue. Belief transfer, in contrast to the other two, shows a clear decline in fitness with increasingly connected networks. When it comes to understanding how information moves on networks, our results indicate that questions of information dynamics on networks cannot be answered in terms of networks alone. A primary role is played by the specific mechanism of information transfer at issue. We must first ask about how a particular type of information moves. (shrink)

With the passage and implementation of the “first-to-file” provisions of the America Invents Act of 2011, the U.S. patent system must rely more than ever before on patent documents for its own ontological commitments concerning the existence of claimed kinds of useful objects and processes. This Article provides a comprehensive description of the previously unrecognized function of the patent document in incurring and securing warrants to these ontological commitments, and the respective roles of legal doctrines and practices in (...) the patent system’s ontological project. Among other contributions, the resulting metaphysical account serves to reconcile competing interpretations of the written description requirement that have emerged from the Federal Circuit’s recent jurisprudence, and to explain why the patent system is willing and able to examine, grant and enforce claims reciting theoretical entities. While this Article is entirely descriptive, it concludes by identifying promising normative and prescriptive implications of this work, including the formulation of an appropriate test for the patent-eligibility of software-implemented inventions in the post-Bilski era. (shrink)

In this review essay, I raise three principal concerns relating to Schulting’s project of deriving the categories from apperception as elaborated in his recent book Kant’s Deduction and Apperception (Palgrave Macmillan, 2012). First, I claim that Schulting overlooks a key ambiguity relating to ‘ableiten’ and which contrasts with his strictly logical understanding of that term. Second, I dispute on textual and philosophical grounds Schulting’s characterization of the subject’s consciousness of its own identity in terms of the analytic unity of (...) apperception. Finally, I raise an objection to Schulting’s account of the derivation of the concept of substance from apperception, as I claim that at best Kant allows that the logical function underlying this category (rather than the category itself) can be so derived, and I note that this objection can be extrapolated to apply to the other derivations of the categories Schulting offers. (shrink)

The goal of this paper is to develop a systematic taxonomy of cognitive artifacts, i.e., human-made, physical objects that functionally contribute to performing a cognitive task. First, I identify the target domain by conceptualizing the category of cognitive artifacts as a functional kind: a kind of artifact that is defined purely by its function. Next, on the basis of their informational properties, I develop a set of related subcategories in which cognitive artifacts with similar properties can be grouped. (...) In this taxonomy, I distinguish between three taxa, those of family, genus, and species. The family includes all cognitive artifacts without further specifying their informational properties. Two genera are then distinguished: representational and non-representational (or ecological) cognitive artifacts. These genera are further divided into species. In case of representational artifacts, these species are iconic, indexical, or symbolic. In case of ecological artifacts, these species are spatial or structural. Within species, token artifacts are identified. The proposed taxonomy is an important first step towards a better understanding of the range and variety of cognitive artifacts and is a helpful point of departure, both for conceptualizing how different artifacts augment or impair cognitive performance and how they transform and are integrated into our cognitive system and practices. (shrink)

In this paper I review three different positions on the wave function, namely: nomological realism, dispositionalism, and configuration space realism by regarding as essential their capacity to account for the world of our experience. I conclude that the first two positions are committed to regard the wave function as an abstract entity. The third position will be shown to be a merely speculative attempt to derive a primitive ontology from a reified mathematical space. Without entering any discussion (...) about nominalism, I conclude that an elimination of abstract entities from one’s ontology commits one to instrumentalism about the wave function, a position that therefore is not as unmotivated as it has seemed to be to many philosophers. (shrink)