An investigation of what Frege means by his doctrine that functions (and so concepts) are 'unsaturated'. We argue that this doctrine is far less peculiar than it is usually taken to be. What makes it hard to understand, oddly enough, is the fact that it is so deeply embedded in our contemporary understanding of logic and language. To see this, we look at how it emerges out of Frege's confrontation with the Booleans and how it expresses a fundamental (...) difference between Frege's approach to logic and theirs. (shrink)

I compare Russell’s theory of mathematical functions, the “descriptive functions” from Principia Mathematica ∗30, with Frege’s well known account of functions as “unsaturated” entities. Russell analyses functional terms with propositional functions and the theory of definite descriptions. This is the primary technical role of the theory of descriptions in P M . In Principles of Mathematics and some unpublished writings from before 1905, Russell offered explicit criticisms of Frege’s account of functions. Consequenly, the theory (...) of descriptions in “On Denoting” can be seen as a crucial part of Russell’s larger logicist reduction of mathematics,aswellasanexcursionintothetheoryof reference.
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One persistent puzzle in the life sciences is the asymmetric lipid composition of the cellular plasma membrane: while the exoplasmic leaflet is enriched in lipids carrying predominantly saturated fatty acids, the cytoplasmic leaflet hosts preferentially lipids with (poly‐)unsaturated fatty acids. Given the high energy requirements necessary for cells to maintain this asymmetry, the question naturally arises regarding its inherent benefits. In this paper, we propose asymmetry to represent a potential solution for harmonizing two conflicting requirements for the plasma membrane: (...) first, the need to build a barrier for the uncontrolled influx or efflux of substances; and second, the need to form a fluid and dynamic two‐dimensional substrate for signaling processes. We hence view here the plasma membrane as a composite material, where the exoplasmic leaflet is mainly responsible for the functional integrity of the barrier and the cytoplasmic leaflet for fluidity. We reinforce the validity of the proposed mechanism by presenting quantitative data from the literature, along with multiple examples that bolster our model. (shrink)

Gottlob Frege rozlišuje mezi smyslem a významem výrazů, přičemž smyslem rozumí to, co je výrazem vyjadřováno, významem pak to, co je jím označováno. Toto rozlišení se týká jak singulárních, tak obecných výrazů, ovšem Fregovy rozbory týkající se významu obecných výrazů jsou všeobecně méně známy. Chci zdůraznit skutečnost, že Frege považuje za význam obecných výrazů pojem, který chápe jako tzv. nenasycenou funkci, nikoli jako množinu nebo zobrazení. To mu umožňuje zachovat některé podstatné intuice týkající se obecnin – můžeme např. mít obecný (...) pojem (znát nějakou vlastnost či relaci), aniž bychom věděli, jaké předměty pod něj spadají. Zároveň se snažím ukázat, že není jasné, nakolik Frege skutečně zastával tezi, která mu bývá obvykle přičítána, totiž že identita pojmů je dána jejich koextenzivitou. Gottlob Frege distinguished between sense and reference of expressions. 'Sense' according to him is that what the expression means, 'reference' is that what is designated by it. This distinction concerns both singular and general terms but Frege’s analyses focused on general terms are much less known. It is crucial, I argue, to appreciate the importance of the fact that the reference of a general term is, according to Frege, a concept – identified with an unsaturated function in the Fregean sense, i.e. not a set, and not a mapping. In this way Frege can keep some important intuitions about universals – for instance that we can have a general concept (know a property or a relation) even if we don’t know which objects fall under it. I also try to show that it is not clear whether Frege really defended the thesis usually attributed to him that the identity of concepts is guaranteed solely by their coextensivity. (shrink)

The paper examines Davidson′s discussion of Frege on the problem of predication. Simple declarative sentences are unities that are true or false; how do predicates contribute to this kind of semantic unity? According to Davidson, the problem cannot be solved by assigning referents to predicates, since this leads to an infinite regress. Frege famously contributes the idea that predicates are “incomplete” or “unsaturated” functional expressions, mapping objects to truth-values. However, he takes predicates to refer to concepts and thus is (...) exposed to Davidson′s argument. I will show that Davidson is only right with regards to “Frege′s semantics”. Yet Frege′s logical doctrine of the decomposition of a sentence – I shall argue – allows for a resolution of this problem. (shrink)

Frege made a derivative of the distinction that he made between the meanings of senses (Sinn) and references (Bedeutung) on judgments, and named the judgments which he treats as hollow functions; ‘Unsaturated’ (ungesättigt) phrases and the phrases which completed an argument as, ‘Saturated’ (gesättigt) phrases. Saturated phrases consist of first and second level concepts and are considered to be meaningful expressions with an accurate value. Frege became the founder of modern symbolic logic with the language of formal logic (...) he developed in ‘Concept Writing’, and based all this formal analysis on the distinction of ‘function (Funktion) – argument (Argument)’ and ‘concept – coverage’. The philosopher, who makes sense of the judgments as their ‘thoughts’; determines the logical value accuracy of the reference on the basis of this distinction, has adopted a contradictory acceptance in terms of both considering the judgments as a condition of being able to receive a truth value and reducing them to the senses of the sentences. Then, if the thoughts were indeed the sense of the sentences, as Frege thought, then it would not be possible to speak of sentences that were meaningful but lacked truthfulness. That is why, to overcome this distress, we propose to change the definition of thought in Frege's theory and to consider it as function values, not the sense of sentences. Likewise for us, thoughts are not the senses of the sentences, nor are they references. Contrariwise, thoughts are the function value of the sentences. To put it in a different way, if a sentence lacks function value, it can be meaningful but not true or false, and if the sentence has a function value, it can be true or false. Thus, for us, thoughts are neither the expression of the sentence in the language nor the logical value of the sentence; thoughts are function values that can be true or false. (shrink)

The notion of the extension of a concept has been used in logic for a long time. It is usually considered to be closely connected to the intuitive notion of a set and thus seems as though it should be embedded into set theory. However, there are significant differences between this “logical” concept of set and the notion of set (class) as defined via standard axiomatic systems of set theory; it may, therefore, be quite misleading to consider the two concepts (...) as being continuous with each other. When we look at the writings of Gottlob Frege and consider the development of his attitude to extensions, we can see what the differences consist in and which of the two notions is more apt to be used in foundations of logic. Frege himself eventually rejected sets entirely. (shrink)

My goal in this paper is, to tentatively sketch and try defend some observations regarding the ontological dignity of object references, as they may be used from within in a formalized language. -/- Hence I try to explore, what properties objects are presupposed to have, in order to enter the universe of discourse of an interpreted formalized language. -/- First I review Frege′s analysis of the logical structure of truth value definite sentences of scientific colloquial language, to draw suggestions from (...) his saturated vs. unsaturated sentence components paradigm. -/- Next try investigate, in how far reference to non pure math objects might allow for a role as argument of a truth value function. Object kinds to be considered are: common sense objects, technical objects, humanities object kinds (social, psychical, ...), objects of art, ... , be they abstract, concrete, or in this respect mixed objects. -/- Then have a comment on the just referenced label abstract objects. -/- Next try to get an idea wrt the ontological significance of the fact, that pure math objects and functions in some important classical cases can be uniquely defined by means of categorical theories. Here, in the course of my argument, I have a little corollary wrt the standard model of first order Peano arithmetic, reducing the epistemological significance of the existence of the non standard models. -/- Next, wrt a special concept of a formalized empirical theory, I care for whether the impure math objects and mixed objects described here, and complying best with truth value function mapping, are also reliable candidates for the ontological commitment of such theories: and discuss an alternative, which reduces the ontological significance of the universe of discourse of the theories intended models. -/- In the end I sum up what is - from my point of view - the status quo, according to my respective findings. (shrink)

Frege's obscure key concept of the unsaturatedness of functions is clarified with the help of the concepts of dependent and independent parts and foundation relations used by Husserl in describing the ontology of complex wholes. Sentential unity in Frege, Husserl and Wittgenstein: all have a similar explanation. As applied to linguistic expressions, the terms 'unsaturated' and 'incomplete' are ambiguous: they may mean the ontological property of Unselbständigkeit, inability to exist alone, or the property of being what categorial grammar (...) calls a functor. Separation of these two senses resolves a dispute between Dummett and Geach on the nature of predicates. (shrink)

Frege's obscure key concept of the unsaturatedness of functions is clarified with the help of the concepts of dependent and independent parts and foundation relations used by Husserl in describing the ontology of complex wholes. Sentential unity in Frege, Husserl and Wittgenstein: all have a similar explanation. As applied to linguistic expressions, the terms 'unsaturated' and 'incomplete' are ambiguous: they may mean the ontological property of Unselbständigkeit, inability to exist alone, or the property of being what categorial grammar (...) calls a functor. Separation of these two senses resolves a dispute between Dummett and Geach on the nature of predicates. (shrink)

Fregean thoughts (i.e. the senses of assertoric sentences) are structured entities because they are composed of simpler senses that are somehow ordered and interconnected. The constituent senses form a unity because some of them are ?saturated? and some ?unsaturated?. This paper shows that Frege's explanation of the structure of thoughts, which is based on the ?saturated/unsaturated? distinction, is by no means sufficient because it permits what I call ?wild analyses?, which have certain unwelcome consequences. Wild analyses are made (...) possible because any ?unsaturated? sense that is a mode of presentation of a concept together with any ?saturated? sense forms a thought. The reason is that any concept can be applied to any object (which is presented by a ?saturated? sense). This stems from the fact that Frege was willing to admit only total functions. It is also briefly suggested what should be done to block wild analyses. (shrink)

We construct an ab initio generic structure for a predimension function with a positive rational coefficient less than or equal to 1 which is unsaturated and has a superstable non-ω-stable theory.

The purpose of the article is to explain two curious doctrines maintained by frege and rejected by wittgenstein in the 'tractatus logico-philosophicus'. that a special assertion sign is necessary was maintained by frege because he wanted to apply his concept-writing to ordinary language, and it was rejected by wittgenstein because his concern in the 'tractatus' was with scientific assertions only. frege's paradoxical notion that 'the concept horse is not a concept' was a consequence of his symbolizing functions by ' (...) class='Hi'>unsaturated' expressions. wittgenstein's picture theory eliminated expressions for relations and thereby avoided the fregean paradox. (shrink)

This work is a self-contained elementary exposition of the theory of recursive functionals, that also includes a number of advanced results.

Starting from the idea that functions are formally similar to actions in that they are described and explained in a similar way, so that both admit of an accordion effect, I turn to Anscombe’s insight that the point of practical reasoning is to render explicit the relation between the different descriptions of an action generated by the accordion effect. The upshot is, roughly, that an item has a function if what it does can be accounted for by functional reasoning. (...) Put differently, a part of a system has a function if what it does is a functional part of what the system does. (shrink)

This article locates Lonergan’s call for a new political economy within a larger project, the “education of liberty,” one aim of which is to have large numbers of producers and consumers voluntarily and intelligently adapting their economic decisions to the rhythms of the economy. Part I of the article describes several basic obstacles to such adaptations, including a type of economic realism that assumes “rational agency” in the marketplace is equivalent to the pursuit of perceived self-interest. How are any of (...) these obstacles to be overcome? The promise of functional specialization is to take what is best in the past and to apply it in future efforts to improve the human condition. Thus, Part II of the article summarizes this author’s understanding of the eight functional specialties, and Part III singles out an underdeveloped understanding of rational agency as the focus of an experiment in applying the functional specialties to one obstacle to the education of liberty. The experiment is no more than an invitation to others who may wish to exploit the promise of functional specialization. Leading questions under the eight headings identify parts of possible collaborative projects. [The second article by the same author in this issue of the journal provides an exercise in the fourth specialty of dialectic in response to this invitation.]. (shrink)

Function talk is a constant across different life sciences. From macro-evolution to genetics, functions are mentioned everywhere. For example, a limb’s function is to allow movement and RNA polymerases’ function is to transcribe DNA. Biochemistry is not immune from such a characterization; the biochemical world seems to be a chemical world embedded within biological processes. Specifically, biochemists commonly ascribe functions to biomolecules and classify them accordingly. This has been noticed in the recent philosophical literature on biochemical kinds. But (...) while a lot has been written on biological and psychological functions, little has been said explicitly about biochemical fuctions. Here, I explore functional attribution to biochemical molecules. I argue that if we accept this attribution, then biochemical functions are constituted by chemical dispositional properties that causally contribute to selected biological processes. In section 2, I discuss the controversy concerning the characterization of biochemical functions. In section 3, I consider whether a biological or a chemical under- standing of function can be applied to biochemical functions, illustrating the account with the example of vitamin B12. The result is that none of the theories on their own provides an adequate characterization. In section 4, I present an account of biochemical functions. In section 5, I assess this account taking into consideration common requirements for a theory of functions and an objection. (shrink)

Executive functions represent higher order top-down mechanisms regulating information processing. While suboptimal EF have been studied in various patient groups, their impact on successful behavior is still not well described. Previously, it has been suggested that design fluency —a test including several simultaneous EF components mainly related to fluency, cognitive flexibility, and creativity—predicts successful behavior in a quickly changing environment where fast and dynamic adaptions are required, such as ball sports. We hypothesized that similar behaviors are of importance in (...) the selection process of elite police force applicants. To test this hypothesis, we compared elite police force applicants with a control group of police officer trainees. Although both groups were better than the norm, the elite police force applicants had a significantly better performance in DF total correct when adjusting for sex and age [F = 18.98, p < 0.001]. To understand how this capacity was altered by stress and tiredness, we re-tested the elite police force applicants several days during an extreme field assessment lasting 10 days. The results suggested that there was a lower than expected improvement in DF total correct and a decline in the DF3-subtest that includes a larger component of cognitive flexibility than the other subtests. Although there was a positive correlation between the baseline session and the re-test in DF3 [r = 0.49, p = 0.001], the applicants having the highest scores in the baseline test also displayed the largest percentage decline in the re-test [r = −0.46, p = 0.003]. In conclusion, our result suggests that higher order EF that include cognitive flexibility and creativity are of importance in the application for becoming an elite police officer but relatively compromised in a stressful situation. Moreover, as the decline is different between the individuals, the results suggest that applicants should be tested during baseline conditions and during stressful conditions to describe their cognitive capacity fully. (shrink)

In this paper I defend an etiological theory of biological functions (according to which the proper function of a trait is the effect for which it was selected by natural selection) against three objections which have been influential. I argue, contrary to Millikan, that it is wrong to base our defense of the theory on a rejection of conceptual analysis, for conceptual analysis does have an important role in philosophy of science. I also argue that biology requires a normative (...) notion of a "proper function", and that a normative notion is not ahistorical. (shrink)

Functional language is ubiquitous in ecology, mainly in the researches about biodiversity and ecosystem function. However, it has not been adequately investigated by ecologists or philosophers of ecology. In the contemporary philosophy of ecology we can recognize a kind of implicit consensus about this issue: while the etiological approaches cannot offer a good concept of function in ecology, Cummins’ systemic approach can. Here we propose to go beyond this implicit consensus, because we think these approaches are not adequate for ecology. (...) We argue that a sound epistemological framework to function in ecology is to be found in organizational approaches. In this line, we define function in ecology as a precise effect of a given constraint on the ecosystem flow of matter and energy performed by a given item of biodiversity, within a closure of constraints. We elaborate on this definition by developing a case study of a bromeliad ecosystem. (shrink)

We study the complexity of (finitely-valued and transfinitely-valued) Euclidean functions for computable Euclidean domains. We examine both the complexity of the minimal Euclidean function and any Euclidean function. Additionally, we draw some conclusions about the proof-theoretical strength of minimal Euclidean functions in terms of reverse mathematics.

This is an exciting time for brain science. Recent progress has been such that it now seems realistic to look toward an explanation of mind in terms of the brain's anatomy and physiology. Models based on artificially symmetrical arrays of idealized neurons are now being superseded by ones which properly take into account the brain's actual circuitry. This book presents a comprehensive overview of the current state of brain modeling, containing contributions from many leading researchers in this field. It will (...) be of interest not only to researchers in the fields of brain science and neurobiology, but also to psychologists and those involved in the study of artificial intelligence. (shrink)

This paper proposes a functional approach to characterize epistemic and nonepistemic values. The paper argues that epistemic values are functionally homogeneous since they act as criteria to evaluate the epistemic virtues a hypothesis ought to possess, and they validate scientific knowledge claims objectively. Conversely, non-epistemic values are functionally heterogeneous since they may promote multiple and sometimes conflicting aims in different research contexts. An incentive of espousing the functional approach is that it helps us understand how values can operate in appropriate (...) and inappropriate ways in scientific research and inappropriate influences can eventually be prevented. The idea is to argue that since non-epistemic values are functionally heterogeneous, they cannot provide objective reasons for the acceptance of a hypothesis. However, their involvement is necessary in certain research contexts and the problem is the involvement of these need not be always legitimate. By analyzing a case from chemical research, I demonstrate that how non-epistemic values might influence scientific research and, then, I go on to demonstrate that how a proper understanding of the functions of different kinds of values might promote the attainment of multiple goals of a particular research in a legitimate and socially relevant way. (shrink)

But what are functions? Here, 15 leading scholars of philosophy of psychology and philosophy of biology present new essays on functions.

What is the function of morality? On this question, something approaching a consensus has recently emerged. Impressed by developments in evolutionary theory, many philosophers now tell us that the function of morality is to reduce social tensions, and to thereby enable a society to efficiently promote the well-being of its members. In this paper, I subject this consensus to rigorous scrutiny, arguing that the functional hypothesis in question is not well supported. In particular, I attack the supposed evidential relation between (...) an evolutionary genealogy of morals and the functional hypothesis itself. I show that there are a great many functionally relevant discontinuities between our own culture and the culture within which morality allegedly emerged, and I argue that this seriously weakens the inference from morality’s evolutionary history to its present-day function. (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.

This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to Gödel's Dialectica interpretation of Heyting arithmetic which replaces nested quantification by higher type operations and thus reduces the consistency problem for arithmetic to the problem of computability of primitive recursive functionals of finite types. Regular functional interpretations, i.e. Dialectica and Diller-Nahm interpretation as well as Kreisel's modified realization, together with their Troelstra-style hybrids, are applied to constructive as well as classical (...) systems of arithmetic, analysis, and set theory. They yield relative consistency and conservativity results and closure under relevant rules of the theories in question as well as axiomatic characterizations of the functional translations. Prerequisites are: familiarity with classical and intuitionistic predicate logic, basics of computability theory, Gödel's incompleteness theorems. (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)

In this paper, I identify a central problem for conceptual engineering: the problem of showing concept-users why they should recognise the authority of the concepts advocated by engineers. I argue that this authority problem cannot generally be solved by appealing to the increased precision, consistency, or other theoretical virtues of engineered concepts. Outside contexts in which we anyway already aim to realise theoretical virtues, solving the authority problem requires engineering to take a functional turn and attend to the functions (...) of concepts. But this then presents us with the problem of how to specify a concept’s function. I argue that extant solutions to this function specification problem are unsatisfactory for engineering purposes, because the functions they identify fail to reliably bestow authority on concepts, and hence fail to solve the authority problem. What is required is an authoritative notion of conceptual function: an account of the functions of concepts which simultaneously shows why concepts fulfilling such functions should be recognised as having authority. I offer an account that meets this combination of demands by specifying the functions of concepts in terms of how they tie in with our present concerns. (shrink)

ObjectivesAbnormal brain function in ASD patients changes dynamically across developmental stages. However, no one has studied the brain function of prepubertal children with ASD. Prepuberty is an important stage for children’s socialization. This study aimed to investigate alterations in local spontaneous brain activity in prepubertal boys with ASD.Materials and MethodsMeasures of the amplitude of low-frequency fluctuations and regional homogeneity acquired from resting-state functional magnetic resonance imaging database, including 34 boys with ASD and 49 typically developing boys aged 7 to 10 (...) years, were used to detect regional brain activity. Pearson correlation analyses were conducted on the relationship between abnormal ALFF and ReHo values and Autism Diagnostic Observation Schedule and Autism Diagnostic Interview-Revised scores.ResultsIn the ASD group, we found decreased ALFF in the left inferior parietal lobule and decreased ReHo in the left lingual gyrus, left superior temporal gyrus, left middle occipital gyrus, and right cuneus. There were negative correlations between ReHo values in the left LG and left STG and the ADOS social affect score and a negative correlation between ReHo values in the left STG and the calibrated severity total ADOS score.ConclusionBrain regions with functional abnormalities, including the left IPL, left LG, left STG, left MOG, and right cuneus may be crucial in the neuropathology of prepubertal boys with ASD. Furthermore, ReHo abnormalities in the left LG and left STG were correlated with sociality. These results will supplement the study of neural mechanisms in ASD at different developmental stages, and be helpful in exploring the neural mechanisms of prepubertal boys with ASD. (shrink)

The etiological approach to ‘proper functions’ in biology can be strengthened by relating it to Robert Cummins' general treatment of function ascription. The proper functions of a biological trait are the functions it is assigned in a Cummins-style functional explanation of the fitness of ancestors. These functions figure in selective explanations of the trait. It is also argued that some recent etiological theories include inaccurate accounts of selective explanation in biology. Finally, a generalization of the notion (...) of selective explanation allows an analysis of the proper functions of human artifacts. (shrink)

This paper argues that proper functions are proximal functions. In other words, it rejects the notion that there are distal biological functions – strictly speaking, distal functions are not functions at all, but simply beneficial effects normally associated with a trait performing its function. Once we rule out distal functions, two further positions become available: dysfunctions are simply failures of proper function, and pathological conditions are dysfunctions. Although elegant and seemingly intuitive, this simple view (...) has had surprisingly little uptake in the literature. Indeed, our position departs from that of almost every theorist who has engaged with the issue at any depth. We start by presenting three arguments for the position that proper functions are proximal: one from the specificity of functions, one from their relation to intervention, and one from their relation to pathology. We then consider two case studies evidencing the trouble that accepting distal functions causes for philosophical reflection on the nature of pathological conditions. Finally, we anticipate and respond to three objections: that there can be failure of function without dysfunction; that our account is unacceptably revisionary in respect of normal function-talk; and that our thesis over-generalises from a narrow set of cases. (shrink)

Executive functions measures of 27 asthmatic children, with general learning difficulties, were tested by using the Wisconsin card sorting test (WCST), and were compared to the performances of 30 non-asthmatic children with general learning difficulties. The results revealed that the asthmatic group has poor performance through all the WCST psychometric parameters and especially the perseverative errors one. The results were discussed in light of the postulation that poor executive functions could be associated with the learning difficulties of asthmatic (...) children. Neurophysiological framework has been suggested to explain the etiology of poor executive functions among children with moderate into severe asthma. (shrink)

Different cognitive functions recruit a number of different, often overlapping, areas of the brain. Theories in cognitive and computational neuroscience are beginning to take this kind of functional integration into account. The contributions to this special issue consider what functional integration tells us about various aspects of the mind such as perception, language, volition, agency, and reward. Here, I consider how and why functional integration may matter for the mind; I discuss a general theoretical framework, based on generative models, (...) that may unify many of the debates surrounding functional integration and the mind; and I briefly introduce each of the contributions. (shrink)

Various philosophical accounts of function attributions have taken the following form:fis a function of a structureXin a systemSif and only ifXdoesfinSandfcausally contributes toG. While sharing this form, these accounts disagree over how “G” is to be specified. Specifications of “G” range from the fairly determinate to the less determinate. Although much of the debate over functions has been concerned with the proper characterization of “G”, it has become apparent that theories which fit this schema are subject to now-standard counterexamples (...) in whichfdoes in fact causally contribute to the realization ofG, butffails to be a function ofXin thatf's contribution is accidental in nature. Consider, for example, goal-state theory according to whichfis a function ofXinSjust in casefcontributes to the realization of some goal ofS. Imagine that Jones has a silver dollar in his shirt pocket which deflects a bullet meant for his chest. Assuming that the coin is in Jones's pocket for reasons unrelated to his goal of continued existence, although the coin contributes to this goal, it does not have the function of “bullet deflector” since its contribution is merely accidental. We can easily generate similar counter-examples for other theories which fit this schema but differ in how “G” is specified. I will call this the problem of “accidentalG-generating effects”. Counterexamples of this type have put pressure on theorists to modify this schema or at least to add additional conditions in order to rule out “accidental functions”. In this paper I will first examine various modifications which have been suggested for avoiding this type of counterexample, and then develop a new approach to the question of “accidental functions”. (shrink)

This paper argues that a minimal notion of function and a notion of normal-proper function are used in explaining how bodies and brains operate. Neither is Cummins’ notion, as originally defined, and yet his is often taken to be the clearly relevant notion for such an explanatory context. This paper also explains how adverting to normal-proper functions, even if these are selected functions, can play a significant scientific role in the operational explanations of complex systems that physiologists and (...) neurophysiologists provide, despite a lack of relevant causal efficacy on the part of such functions. (shrink)

A satisfactory analysis of human deception must rule out cases where it is a mistake or an accident that person B was misled by person A's behavior. Therefore, most scholars think that deceivers must intend to deceive. This article argues that there is a better solution: rather than appealing to the deceiver's intentions, we should appeal to the function of their behavior. After all, animals and plants engage in deception, and most of them are not capable of forming intentions. Accordingly, (...) certain human behavior is deceptive if and only if its function is to mislead. This solves our problem because if the function of A's behavior was to mislead, B's ending up misled was not an accident or a mere mistake even if A did not intend to deceive B. (shrink)

The functional approach to scientific progress has been mainly developed by Kuhn, Lakatos, Popper, Laudan, and more recently by Shan. The basic idea is that science progresses if key functions of science are fulfilled in a better way. This chapter defends the function approach. It begins with an overview of the two old versions of the functional approach by examining the work of Kuhn, Laudan, Popper, and Lakatos. It then argues for Shan’s new functional approach, in which scientific progress (...) is defined as an increase of usefulness of exemplary practices. (shrink)

What is the biological function of perception? I hold perception, especially visual perception in humans, has the biological function of accurately representing the environment. Tyler Burge argues this cannot be so in Origins of Objectivity (Oxford, 2010), for accuracy is a semantical relationship and not, as such, a practical matter. Burge also provides a supporting example. I rebut the argument and the example. Accuracy is sometimes also a practical matter if accuracy partly explains how perception contributes to survival and reproduction.

We sketch a novel and improved version of Boorse’s biostatistical theory of functions. Roughly, our theory maintains that (i) functions are non-negligible contributions to survival or inclusive fitness (when a trait contributes to survival or inclusive fitness); (ii) situations appropriate for the performance of a function are typical situations in which a trait contributes to survival or inclusive fitness; (iii) appropriate rates of functioning are rates that make adequate contributions to survival or inclusive fitness (in situations appropriate for (...) the performance of that function); and (iv) dysfunction is the inability to perform a function at an appropriate rate in appropriate situations. Based on our theory, we sketch solutions to three problems that have afflicted Boorse’s theory of function, namely, Kingma’s ([2010]) problem of the situation-specificity of functions, the problem of multi-functional traits, and the problem of how to distinguish between appropriate and inappropriate rates of functioning. (shrink)

Specific extracellular interaction between glycophosphatidylinositol (GPI)‐anchored proteins and adhesion G protein‐coupled receptors (aGPCRs) plays an important role in unique biological functions. GPI‐anchored proteins are derived from a novel post‐translational modification of single‐span membrane molecules, while aGPCRs are bona fide seven‐span transmembrane proteins with a long extracellular domain. Although various members of the two structurally‐distinct protein families are known to be involved in a wide range of biological processes, many remain as orphans. Interestingly, accumulating evidence has pointed to a complex (...) interaction and functional synergy between these two protein families. I discuss herein current understanding of specific functional partnerships between GPI‐anchored proteins and aGPCRs. (shrink)

A proper function of an entity is a beneficial effect that helps explain the persistence of the entity. Proper functions thereby arise through feedback mechanisms with beneficial effects as inputs and persistence as outputs. We continue to make assertions because they benefit speakers by benefiting speakers. Hearers benefit from true information. Speakers benefit by influencing hearer belief. If hearers do not benefit, they will not form beliefs in response to assertions. Speakers can then only maintain influence by providing true (...) information, often enough. The function of assertion is then inducing true hearer belief. When interests conflict, however, some mechanism must ensure that speakers provide true information often enough, instead of deceiving, or providing information regardless of quality. In humans, a core mechanism stabilizing true assertion involves social norms for truth telling. We tell the truth partly because we prescribe and enforce telling the truth. (shrink)

Background and PurposeTranscranial direct current stimulation is an emerging non-invasive neuromodulation technique for focal epilepsy. Because epilepsy is a disease affecting the brain network, our study was aimed to evaluate and predict the treatment outcome of cathodal tDCS by analyzing the ctDCS-induced functional network alterations.MethodsEither the active 5-day, −1.0 mA, 20-min ctDCS or sham ctDCS targeting at the most active interictal epileptiform discharge regions was applied to 27 subjects suffering from focal epilepsy. The functional networks before and after ctDCS were (...) compared employing graph theoretical analysis based on the functional magnetic resonance imaging data. A support vector machine prediction model was built to predict the treatment outcome of ctDCS using the graph theoretical measures as markers.ResultsOur results revealed that the mean clustering coefficient and the global efficiency decreased significantly, as well as the characteristic path length and the mean shortest path length at the stimulation sites in the fMRI functional networks increased significantly after ctDCS only for the patients with response to the active ctDCS. Our prediction model achieved the mean prediction accuracy of 68.3% after the nested cross validation. The mean area under the receiver operating curve was 0.75, which showed good prediction performance.ConclusionThe study demonstrated that the response to ctDCS was related to the topological alterations in the functional networks of epilepsy patients detected by fMRI. The graph theoretical measures were promising for clinical prediction of ctDCS treatment outcome. (shrink)