Search results for 'functions' (try it on Scholar)

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  1. Agustin Vicente & Fernando Martínez-Manrique (2011). Inner Speech: Nature and Functions. Philosophy Compass 6 (3):209-219.score: 24.0
    We very often discover ourselves engaged in inner speech. It seems that this kind of silent, private, speech fulfils some role in our cognition, most probably related to conscious thinking. Yet, the study of inner speech has been neglected by philosophy and psychology alike for many years. However, things seem to have changed in the last two decades. Here we review some of the most influential accounts about the phenomenology and the functions of inner speech, as well as the (...)
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  2. Peter J. Graham (forthcoming). Functions, Warrant, History. In Abrol Fairweather & Owen Flanagan (eds.), Naturalizing Epistemic Virtue. Cambridge University Press.score: 24.0
    I hold that epistemic warrant consists in the normal functioning of the belief-forming process when the process has forming true beliefs reliably as an etiological function. Evolution by natural selection is the central source of etiological functions. This leads many to think that on my view warrant requires a history of natural selection. What then about learning? What then about Swampman? Though functions require history, natural selection is not the only source. Self-repair and trial-and-error learning are both sources. (...)
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  3. Martin Davis (ed.) (1965/2004). The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems, and Computable Functions. Dover Publication.score: 24.0
    "A valuable collection both for original source material as well as historical formulations of current problems."-- The Review of Metaphysics "Much more than a mere collection of papers . . . a valuable addition to the literature."-- Mathematics of Computation An anthology of fundamental papers on undecidability and unsolvability by major figures in the field, this classic reference opens with Godel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by (...)
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  4. Robert Trueman (2011). Propositional Functions in Extension. Theoria 77 (4):292-311.score: 24.0
    In his “The Foundations of Mathematics”, Ramsey attempted to marry the Tractarian idea that all logical truths are tautologies and vice versa, and the logicism of the Principia. In order to complete his project, Ramsey was forced to introduce propositional functions in extension (PFEs): given Ramsey's definitions of 1 and 2, without PFEs even the quantifier-free arithmetical truth that 1 ≠ 2 is not a tautology. However, a number of commentators have argued that the notion of PFEs is incoherent. (...)
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  5. Fausto di Biase (2009). True or False? A Case in the Study of Harmonic Functions. Topoi 28 (2):143-160.score: 24.0
    Recent mathematical results, obtained by the author, in collaboration with Alexander Stokolos, Olof Svensson, and Tomasz Weiss, in the study of harmonic functions, have prompted the following reflections, intertwined with views on some turning points in the history of mathematics and accompanied by an interpretive key that could perhaps shed some light on other aspects of (the development of) mathematics.
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  6. Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane (2010). Coherent Choice Functions Under Uncertainty. Synthese 172 (1):157 - 176.score: 24.0
    We discuss several features of coherent choice functions —where the admissible options in a decision problem are exactly those that maximize expected utility for some probability/utility pair in fixed set S of probability/utility pairs. In this paper we consider, primarily, normal form decision problems under uncertainty—where only the probability component of S is indeterminate and utility for two privileged outcomes is determinate. Coherent choice distinguishes between each pair of sets of probabilities regardless the “shape” or “connectedness” of the sets (...)
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  7. William M. Farmer & Joshua D. Guttman (2000). A Set Theory with Support for Partial Functions. Studia Logica 66 (1):59-78.score: 24.0
    Partial functions can be easily represented in set theory as certain sets of ordered pairs. However, classical set theory provides no special machinery for reasoning about partial functions. For instance, there is no direct way of handling the application of a function to an argument outside its domain as in partial logic. There is also no utilization of lambda-notation and sorts or types as in type theory. This paper introduces a version of von-Neumann-Bernays-Gödel set theory for reasoning about (...)
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  8. Peter Roeper & Hugues Leblanc (1999). Absolute Probability Functions for Intuitionistic Propositional Logic. Journal of Philosophical Logic 28 (3):223-234.score: 24.0
    Provided here is a characterisation of absolute probability functions for intuitionistic (propositional) logic L, i.e. a set of constraints on the unary functions P from the statements of L to the reals, which insures that (i) if a statement A of L is provable in L, then P(A) = 1 for every P, L's axiomatisation being thus sound in the probabilistic sense, and (ii) if P(A) = 1 for every P, then A is provable in L, L's axiomatisation (...)
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  9. Daniel M. Kraemer (2013). Statistical Theories of Functions and the Problem of Epidemic Disease. Biology and Philosophy 28 (3):423-438.score: 24.0
    Several decades ago, Christopher Boorse formulated an influential statistical theory of normative biological functions but it has often been claimed that his theory suffers from insuperable problems such as an inability to handle cases of epidemic and universal diseases. This paper develops a new statistical theory of normative functions that is capable of dealing with the notorious problem of epidemic and universal diseases. The theory is also more detailed than its predecessors and offers other important advantages over them. (...)
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  10. Daniel M. Kraemer (2014). Revisiting Recent Etiological Theories of Functions. Biology and Philosophy 29 (5):747-759.score: 24.0
    Arguably, the most widely endorsed account of normative functions in philosophy of biology is an etiological theory that holds that the function of current traits is fixed by the past selection history of other traits of that type. The earlier formulations of this “selected-effects” theory had trouble accommodating vestigial traits. In order to remedy these difficulties, the influential recent selection or modern history selected-effects theory was introduced. This paper expands upon and strengthens the argument that this theory has trouble (...)
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  11. Pieter E. Vermaas, Dingmar Eck & Peter Kroes (2013). The Conceptual Elusiveness of Engineering Functions. [REVIEW] Philosophy and Technology 26 (2):159-185.score: 24.0
    In this paper, we describe the conceptual elusiveness of the notion of function as used in engineering practice. We argue that it should be accepted as an ambiguous notion, and then review philosophical argumentations in which engineering functions occur in order to identify the consequences of this ambiguity. Function is a key notion in engineering, yet is used by engineers systematically in a variety of meanings. First, we demonstrate that this ambiguous use is rational for engineers by considering the (...)
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  12. Philip G. Calabrese (2003). Operating on Functions with Variable Domains. Journal of Philosophical Logic 32 (1):1-18.score: 24.0
    The sum, difference, product and quotient of two functions with different domains are usually defined only on their common domain. This paper extends these definitions so that the sum and other operations are essentially defined anywhere that at least one of the components is defined. This idea is applied to propositions and events, expressed as indicator functions, to define conditional propositions and conditional events as three-valued indicator functions that are undefined when their condition is false. Extended operations (...)
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  13. Lloyd Humberstone (2007). Identical Twins, Deduction Theorems, and Pattern Functions: Exploring the Implicative BCsK Fragment of S. [REVIEW] Journal of Philosophical Logic 36 (5):435 - 487.score: 24.0
    We recapitulate (Section 1) some basic details of the system of implicative BCSK logic, which has two primitive binary implicational connectives, and which can be viewed as a certain fragment of the modal logic S5. From this modal perspective we review (Section 2) some results according to which the pure sublogic in either of these connectives (i.e., each considered without the other) is an exact replica of the material implication fragment of classical propositional logic. In Sections 3 and 5 we (...)
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  14. Lloyd Humberstone (2006). Identical Twins, Deduction Theorems, and Pattern Functions: Exploring the Implicative BCsK Fragment of S. [REVIEW] Journal of Philosophical Logic 35 (5):435 - 487.score: 24.0
    We recapitulate (Section 1) some basic details of the system of implicative BCSK logic, which has two primitive binary implicational connectives, and which can be viewed as a certain fragment of the modal logic S5. From this modal perspective we review (Section 2) some results according to which the pure sublogic in either of these connectives (i.e., each considered without the other) is an exact replica of the material implication fragment of classical propositional logic. In Sections 3 and 5 we (...)
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  15. André Porto (2013). Rule-Following and Functions. O Que Nos Faz Pensar 33:95-141.score: 24.0
    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 (...)
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  16. James Hawthorne (2014). A Primer on Rational Consequence Relations, Popper Functions, and Their Ranked Structures. Studia Logica 102 (4):731-749.score: 24.0
    Rational consequence relations and Popper functions provide logics for reasoning under uncertainty, the former purely qualitative, the latter probabilistic. But few researchers seem to be aware of the close connection between these two logics. I’ll show that Popper functions are probabilistic versions of rational consequence relations. I’ll not assume that the reader is familiar with either logic. I present them, and explicate the relationship between them, from the ground up. I’ll also present alternative axiomatizations for each logic, showing (...)
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  17. Babacar Seck, Laetitia Andrieu & Michel De Lara (2012). Parametric Multi-Attribute Utility Functions for Optimal Profit Under Risk Constraints. Theory and Decision 72 (2):257-271.score: 24.0
    We provide an economic interpretation of the practice consisting in incorporating risk measures as constraints in an expected prospect maximization problem. For what we call the infimum of expectations class of risk measures, we show that if the decision maker (DM) maximizes the expectation of a random prospect under constraint that the risk measure is bounded above, he then behaves as a “generalized expected utility maximizer” in the following sense. The DM exhibits ambiguity with respect to a family of utility (...)
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  18. Todor D. Todorov & Hans Vernaeve (2008). Full Algebra of Generalized Functions and Non-Standard Asymptotic Analysis. Logic and Analysis 1 (3-4):205-234.score: 24.0
    We construct an algebra of generalized functions endowed with a canonical embedding of the space of Schwartz distributions.We offer a solution to the problem of multiplication of Schwartz distributions similar to but different from Colombeau’s solution.We show that the set of scalars of our algebra is an algebraically closed field unlike its counterpart in Colombeau theory, which is a ring with zero divisors. We prove a Hahn–Banach extension principle which does not hold in Colombeau theory. We establish a connection (...)
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  19. Ingvar Johansson (2008). Functions and Shapes in the Light of the International System of Units. Metaphysica 9 (1):93-117.score: 24.0
    Famously, Galilei made the ontological claim that the book of nature is written in the language of mathematics. Probably, if only implicitly, most contemporary natural scientists share his view. This paper, in contradistinction, argues that nature is only partly written in the language of mathematics; partly, it is written in the language of functions and partly in a very simple purely qualitative language, too. During the argumentation, three more specific but in themselves interesting theses are put forward: first (in (...)
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  20. Bernard Linsky (2009). Russell And Frege On The Logic of Functions. The Baltic International Yearbook of Cognition, Logic and Communication 4 (1):1-17.score: 24.0
    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 (...)
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  21. Anna Soveri, Antoni Rodriguez-Fornells & Matti Laine (2011). Is There a Relationship Between Language Switching and Executive Functions in Bilingualism? Introducing a Within Group Analysis Approach. Frontiers in Psychology 2.score: 24.0
    Several studies have suggested a bilingual advantage in executive functions, presumably due to bilinguals’ massive practice with language switching that requires executive resources, but the results are still somewhat controversial. Previous studies are also plagued by the inherent limitations of a natural groups design where the participant groups are bound to differ in many ways in addition to the variable used to classify them. In an attempt to introduce a complementary analysis approach, we employed multiple regression to study whether (...)
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  22. Fred Johnson (1992). Counting Functions. Notre Dame Journal of Formal Logic 33 (4):567-568.score: 24.0
    Counting functions are shown to be complete by using a simpler argument than that used by Pelletier and Martin.
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  23. Hagen Lindstädt (2001). More Nonconcavities in Information Processing Functions. Theory and Decision 51 (2/4):351-365.score: 24.0
    The productivity of (human) information processing as an economic activity is a question that is raising some interest. Using Marschak's evaluation framework, Radner and Stiglitz have shown that, under certain conditions, the production function of this activity has increasing marginal returns in its initial stage. This paper shows that, under slightly different conditions, this information processing function has repeated convexities with ongoing processing activity. Even for smooth changes in the signals' likelihoods, the function is only piecewise smooth with non-differentiable convexities (...)
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  24. Ulrike M. Krämer, Robert P. J. Kopyciok, Sylvia Richter, Antoni Rodriguez-Fornells & Thomas F. Münte (2011). The Role of Executive Functions in the Control of Aggressive Behavior. Frontiers in Psychology 2.score: 24.0
    An extensive literature suggests a link between executive functions and aggressive behavior in humans, pointing mostly to an inverse relationship, i.e. increased tendencies towards aggression in individuals scoring low on executive function tests. This literature is limited, though, in terms of the groups studied and the measures of executive functions. In this paper, we present data from two studies addressing these issues. In a first behavioral study, we asked whether high trait aggressiveness is related to reduced executive (...). A sample of over 600 students performed in an extensive behavioral test-battery including paradigms addressing executive functions such as the Eriksen Flanker task, Stroop task, n-back task and Tower of London. High trait aggressive participants were found to have a significantly reduced latency score in the Tower of London, indicating more impulsive behavior compared to low trait aggressive participants. No other differences were detected. In an EEG-study, we assessed neural and behavioral correlates of error monitoring and response inhibition in participants who were characterized based on their laboratory-induced aggressive behavior in a competitive reaction time task. Participants who retaliated more in the aggression paradigm and had reduced frontal activity when being provoked did not, however, show any reduction in behavioral or neural correlates of executive control compared to the more aggressive participants. Our results question a strong relationship between aggression and executive functions at least for healthy, high-functioning people. (shrink)
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  25. Vincent Astier (2008). Elementary Equivalence of Some Rings of Definable Functions. Archive for Mathematical Logic 47 (4):327-340.score: 24.0
    We characterize elementary equivalences and inclusions between von Neumann regular real closed rings in terms of their boolean algebras of idempotents, and prove that their theories are always decidable. We then show that, under some hypotheses, the map sending an L-structure R to the L-structure of definable functions from R n to R preserves elementary inclusions and equivalences and gives a structure with a decidable theory whenever R is decidable. We briefly consider structures of definable functions satisfying an (...)
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  26. Manuel L. Campagnolo & Kerry Ojakian (2008). The Elementary Computable Functions Over the Real Numbers: Applying Two New Techniques. [REVIEW] Archive for Mathematical Logic 46 (7-8):593-627.score: 24.0
    The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether defined in different manners, via function algebras (Real Recursive Functions) or via Turing Machines (Computable Analysis). We provide general tools for investigating these issues, using two techniques we call approximation and lifting. We use these methods to obtain two main theorems. First, we provide an alternative proof of the result from Campagnolo et (...)
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  27. Joost J. Joosten (2010). Consistency Statements and Iterations of Computable Functions in IΣ1 and PRA. Archive for Mathematical Logic 49 (7-8):773-798.score: 24.0
    In this paper we will state and prove some comparative theorems concerning PRA and IΣ1. We shall provide a characterization of IΣ1 in terms of PRA and iterations of a class of functions. In particular, we prove that for this class of functions the difference between IΣ1 and PRA is exactly that, where PRA is closed under iterations of these functions, IΣ1 is moreover provably closed under iteration. We will formulate a sufficient condition for a model of (...)
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  28. Alexander Kreuzer & Ulrich Kohlenbach (2009). Ramsey's Theorem for Pairs and Provably Recursive Functions. Notre Dame Journal of Formal Logic 50 (4):427-444.score: 24.0
    This paper addresses the strength of Ramsey's theorem for pairs ($RT^2_2$) over a weak base theory from the perspective of 'proof mining'. Let $RT^{2-}_2$ denote Ramsey's theorem for pairs where the coloring is given by an explicit term involving only numeric variables. We add this principle to a weak base theory that includes weak König's Lemma and a substantial amount of $\Sigma^0_1$-induction (enough to prove the totality of all primitive recursive functions but not of all primitive recursive functionals). In (...)
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  29. Beth Preston (2009). Biological and Cultural Proper Functions in Comparative Perspective. In Ulrich Krohs & Peter Kroes (eds.), Functions in Biological and Artificial Worlds: Comparative Philosophical Perspectives. Mit Press.score: 23.0
    Both biological traits and artifacts have proper functions. But accounts of proper function are typically based on the biological case. So adapting these accounts to the artifact case requires finding cultural analogues of biological concepts. This can go wrong in two ways. The biological concepts may not pick out either biological or cultural proper functions correctly; or they may have no cultural analogues. I argue that things have gone wrong in the first way with regard to selection and (...)
     
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  30. Samuel Alexander (2013). The First-Order Syntax of Variadic Functions. Notre Dame Journal of Formal Logic 54 (1):47-59.score: 22.0
    We extend first-order logic to include variadic function symbols, and prove a substitution lemma. Two applications are given: one to bounded quantifier elimination and one to the definability of certain Borel sets.
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  31. Antonio Nunziante (2008). Back to the Roots. “Functions” and “Teleology” in the Philosophy of Leibniz. In Luca Illetterati & Francesca Michelini (eds.), Purposiveness. Teleology between Nature and Mind. Ontos Verlag.score: 22.0
    It is certainly true that in early modern thought the emergence of a new science changed the image of the universe in a mechanistic way. It must be considered, though, that most of the main protagonists of this revolution (Kepler, Newton, Leibniz, ‘biologists’ like Leeuwenhoek, Hartsoeker, Hooke, Malpighi, Redi, etc.) still continued to consider the importance and the utility of a finalistic explanation of natural phenomena. Concepts like “function”, “self-organization”, “organism” have roots in early modern thought: not only from a (...)
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  32. Murat Ali Çengelci & M. Remzi Sanver (2010). Simple Collective Identity Functions. Theory and Decision 68 (4):417-443.score: 22.0
    A Collective Identity Function (CIF) is a rule which aggregates personal opinions on whether an individual belongs to a certain identity into a social decision. A simple CIF is one which can be expressed in terms of winning coalitions. We characterize simple CIFs and explore various CIFs of the literature by exploiting their ability of being expressed in terms of winning coalitions. We also use our setting to introduce conditions that ensure the equal treatment of individuals as voters or as (...)
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  33. Beth Preston (2002). Review: What Functions Explain: Functional Explanation and Self-Reproducing Systems. [REVIEW] Mind 111 (444):888-891.score: 21.0
  34. F. D. Brooks (1924). Learning in the Case of Three Dissimilar Mental Functions. Journal of Experimental Psychology 7 (6):462.score: 21.0
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  35. Isaac Goldbring (2012). An Approximate Herbrand's Theorem and Definable Functions in Metric Structures. Mathematical Logic Quarterly 58 (3):208-216.score: 21.0
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  36. [deleted]Thomas Schäfer, Peter Sedlmeier, Christine Städtler & David Huron (2013). The Psychological Functions of Music Listening. Frontiers in Psychology 4.score: 21.0
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  37. E. Thelin & E. R. Altman (1929). Identification of Monocular Functions. Journal of Experimental Psychology 12 (1):79.score: 21.0
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  38. Sue Cox & William N. Dember (1972). -Shaped Metacontrast Functions with a Detection Task. Journal of Experimental Psychology 95 (2):327.score: 21.0
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  39. Sheldon M. Ebenholtz (1969). Transfer and Decay Functions in Adaptation to Optical Tilt. Journal of Experimental Psychology 81 (1):170.score: 21.0
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  40. F. Richmann (2002). Omniscience Principles and Functions of Bounded Variation. Mathematical Logic Quarterly 48 (1):111-116.score: 21.0
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  41. Vasco Brattka (2005). Effective Borel Measurability and Reducibility of Functions. Mathematical Logic Quarterly 51 (1):19-44.score: 21.0
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  42. George E. Briggs, Richard F. Thompson & W. J. Brogden (1954). Retention Functions in Reproductive Inhibition. Journal of Experimental Psychology 48 (6):419.score: 21.0
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  43. T. M. Caelli & J. A. Keats (1973). An Extended Use of Moments of Two Distribution Functions for Predicting Performance in a Pattern Discrimination Task. Journal of Experimental Psychology 99 (2):209.score: 21.0
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  44. George Collier (1962). Consummatory and Instrumental Responding as Functions of Deprivation. Journal of Experimental Psychology 64 (4):410.score: 21.0
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  45. D. Kunkle (2004). Type-2 Computability on Spaces of Integrables Functions. Mathematical Logic Quarterly 50 (4):417.score: 21.0
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  46. Timothy H. McNicholl (2008). Uniformly Computable Aspects of Inner Functions: Estimation and Factorization. Mathematical Logic Quarterly 54 (5):508-518.score: 21.0
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  47. David M. Messick & Amnon Rapoport (1965). A Comparison of Two Payoff Functions on Multiple-Choice Decision Behavior. Journal of Experimental Psychology 69 (1):75.score: 21.0
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  48. [deleted]Sara Rosenblum (2013). Handwriting Measures as Reflectors of Executive Functions Among Adults with Developmental Coordination Disorders (DCD). Frontiers in Psychology 4.score: 21.0
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  49. Klaus‐Hilmar Sprenger (1997). Some Hierarchies of Primitive Recursive Functions on Term Algebras. Mathematical Logic Quarterly 43 (2):251-286.score: 21.0
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  50. Peter Bardsley (1993). Local Utility Functions. Theory and Decision 34 (2):109-118.score: 21.0
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