Results for 'Numeration. '

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  1.  15
    Editor's notices.Numeration After Volume Xlix - 1999 - Classical Quarterly 49:649.
  2.  21
    Assemblages of excess and pleasures: The sociosexual uses of online and chemical technologies among men who have sex with men.Matthew Numer, Dave Holmes, Chad Hammond, Phillip Joy & Jad Sinno - 2022 - Nursing Philosophy 23 (1).
    Chemicals have penetrated everyday lives of men who have sex with men as never before, along with new online and mobile technologies used to seek pleasures and connections. Poststructuralist (including queer) explorations of these new intensities show how bodies exist in the form of (political) surfaces able to connect with other bodies and with other objects where they may find/create a function (e.g., reproduce or disrupt hegemonies). This federally funded netnographic study explored how a variety of chemicals such as recreational (...)
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  3. Numerical cognition and mathematical realism.Helen De Cruz - 2016 - Philosophers' Imprint 16.
    Humans and other animals have an evolved ability to detect discrete magnitudes in their environment. Does this observation support evolutionary debunking arguments against mathematical realism, as has been recently argued by Clarke-Doane, or does it bolster mathematical realism, as authors such as Joyce and Sinnott-Armstrong have assumed? To find out, we need to pay closer attention to the features of evolved numerical cognition. I provide a detailed examination of the functional properties of evolved numerical cognition, and propose that they prima (...)
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  4. Numerical Architecture.Eric Mandelbaum - 2013 - Topics in Cognitive Science 5 (1):367-386.
    The idea that there is a “Number Sense” (Dehaene, 1997) or “Core Knowledge” of number ensconced in a modular processing system (Carey, 2009) has gained popularity as the study of numerical cognition has matured. However, these claims are generally made with little, if any, detailed examination of which modular properties are instantiated in numerical processing. In this article, I aim to rectify this situation by detailing the modular properties on display in numerical cognitive processing. In the process, I review literature (...)
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  5.  54
    Numerals and neural reuse.Max Jones - 2020 - Synthese 197 (9):3657-3681.
    Menary OpenMIND, MIND Group, Frankfurt am Main, 2015) has argued that the development of our capacities for mathematical cognition can be explained in terms of enculturation. Our ancient systems for perceptually estimating numerical quantities are augmented and transformed by interacting with a culturally-enriched environment that provides scaffolds for the acquisition of cognitive practices, leading to the development of a discrete number system for representing number precisely. Numerals and the practices associated with numeral systems play a significant role in this process. (...)
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  6.  13
    The Numerical Discourses of the Buddha.Bhikkhu Bodhi - 2010 - Wisdom.
    Drawn from the Anguttara Nikaya, Numerical Discourses of the Buddha brings together teachings of the Buddha ranging from basic ethical observances recommended to the busy man or woman of the world, to the more rigorous instructions on mental training prescribed for the monks and nuns. The Anguttara Nikaya is a part of the Pali Canon, the authorized recension of the Buddha's Word for followers of Theravada Buddhism, the form of Buddhism prevailing in the Buddhist countries of southern Asia. These discourses (...)
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  7.  47
    Numerical Term Logic.Wallace A. Murphree - 1998 - Notre Dame Journal of Formal Logic 39 (3):346-362.
    This paper is an attempt to show that my work to establish numerically flexible quantifiers for the syllogism can be aptly combined with the term logic advanced by Sommers, Englebretsen, and others.
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  8.  34
    Numerals, positionality, and reference fixing. Reply to Vivanco.Mario Gómez-Torrente - 2020 - Manuscrito 43 (4):165-176.
    Melisa Vivanco objects to my theory of the Arabic numerals in Roads to Reference that the reference fixing procedure that I postulate doesn’t exploit the morphological structure of the Arabic numerals, but it should. Against Vivanco, I argue that the procedure in question does exploit the morphological structure of the numerals in an essential way.
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  9.  43
    Modified numerals and maximality.Brian Buccola & Benjamin Spector - 2016 - Linguistics and Philosophy 39 (3):151-199.
    In this article, we describe and attempt to solve a puzzle arising from the interpretation of modified numerals like less than five and between two and five. The puzzle is this: such modified numerals seem to mean different things depending on whether they combine with distributive or non-distributive predicates. When they combine with distributive predicates, they intuitively impose a kind of upper bound, whereas when they combine with non-distributive predicates, they do not. We propose and explore in detail four solutions (...)
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  10.  35
    Radicalizing numerical cognition.Karim Zahidi - 2020 - Synthese 198 (Suppl 1):529-545.
    In recent decades, non-representational approaches to mental phenomena and cognition have been gaining traction in cognitive science and philosophy of mind. In these alternative approach, mental representations either lose their central status or, in its most radical form, are banned completely. While there is growing agreement that non-representational accounts may succeed in explaining some cognitive capacities, there is widespread skepticism about the possibility of giving non-representational accounts of cognitive capacities such as memory, imagination or abstract thought. In this paper, I (...)
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  11.  20
    Numerals as triggers of System 1 and System 2 in the ‘bat and ball’ problem.Antonio Mastrogiorgio & Enrico Petracca - 2014 - Mind and Society 13 (1):135-148.
    The ‘bat and ball’ is one of the problems most frequently employed as a testbed for research on the dual-system hypothesis of reasoning. Frederick (J Econ Perspect 19:25–42, 2005) is the first to envisage the possibility that different numerical arrangements of the ‘bat and ball’ problem could lead to different dynamics of activation of the dual-system, and so to different performances of subjects in task accomplishment. This possibility has triggered a strand of research oriented to accomplish ‘sensitivity analyses’ of the (...)
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  12.  89
    Numerical solution for solving procedure for 3D motions near libration points in the Circular Restricted Three Body Problem (CR3BP).Victor Christianto & Florentin Smarandache - manuscript
    In a recent paper in Astrophysics and Space Science Vol. 364 no. 11 (2019), S. Ershkov & D. Leschenko presented a new solving procedure for Euler-Poisson equations for solving momentum equations of the CR3BP near libration points for uniformly rotating planets having inclined orbits in the solar system with respect to the orbit of the Earth. The system of equations of the CR3BP has been explored with regard to the existence of an analytic way of presentation of the approximated solution (...)
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  13. Numerical identity and accidental predication in Aristotle.Mauro Mariani - 2000 - Topoi 19 (2):99-110.
    Two different definitions of numerical identity occur in Aristotle's works, namely: (i) "A" and "B" are both names of one thing; (ii) A and B constitute unity. These definitions can be traced back respectively to the following theories of predication: (i)' the sentences whose subjects are accidents are actually ill-formed; (ii)' in some cases the accidents are not eliminable subjects. Since (i)' and (ii)' are irreparably inconsistent, the theory of identity is inconsistent too; in this paper are explored the consequences (...)
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  14.  65
    Solving Numerically Ermakov-type Equation for Newtonian Cosmology Model with Vortex.Victor Christianto, Florentin Smarandache & Yunita Umniyati - manuscript
    It has been known for long time that most of the existing cosmology models have singularity problem. Cosmological singularity has been a consequence of excessive symmetry of flow, such as “Hubble’s law”. More realistic one is suggested, based on Newtonian cosmology model but here we include the vertical-rotational effect of the whole Universe. We review a Riccati-type equation obtained by Nurgaliev, and solve the equation numerically with Mathematica. It is our hope that the new proposed method can be verified with (...)
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  15.  43
    Numerical classification of the chemical elements and its relation to the periodic system.P. H. A. Sneath - 2000 - Foundations of Chemistry 2 (3):237-263.
    A numerical classification was performed on 69 elements with 54 chemicaland physicochemical properties. The elements fell into clusters in closeaccord with the electron shell s-, p- andd-blocks. The f-block elements were not included forlack of sufficiently complete data. The successive periods ofs- and p-block elements appeared in an ovalconfiguration, with d-block elements lying to one side. Morethan three axes were required to give good representation of thevariation, although the interpretation of the higher axes is difficult.Only 15 properties were scorable for (...)
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  16.  6
    On Numerical Arguments in Policymaking.Corina Andone - 2022 - Informal Logic 43 (4):685-704.
    The use of numerical arguments has become part and parcel of evidence-based policymaking, serving increasingly as scientific evidence which is used to back up policy decisions and to convince citizens of the acceptability of those decisions. But numerical arguments and their quality and potential persuasive role in the specific institutional context of policymaking have received little treatment within argumentation theory. This paper endeavours to explain the forms, functions, and quality of numerical arguments in policymaking.
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  17. Three Medieval Aristotelians on Numerical Identity and Time.John Morrison - forthcoming - In Oxford Studies in Medieval Philosophy.
    Aquinas, Ockham, and Burdan all claim that a person can be numerically identical over time, despite changes in size, shape, and color. How can we reconcile this with the Indiscernibility of Identicals, the principle that numerical identity implies indiscernibility across time? Almost all contemporary metaphysicians regard the Indiscernibility of Identicals as axiomatic. But I will argue that Aquinas, Ockham, and Burdan would reject it, perhaps in favor of a principle restricted to indiscernibility at a time.
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  18. Numerical Cognition and the Epistemology of Arithmetic.Markus Pantsar - 2024 - Cambridge University Press.
    Arithmetic is one of the foundations of our educational systems, but what exactly is it? Numbers are everywhere in our modern societies, but what is our knowledge of numbers really about? This book provides a philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition. It explains how humans have developed arithmetic from humble origins to its modern status as an almost universally possessed knowledge and skill. Central to the account is the realisation that, (...)
     
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  19. Numerals and quantifiers in X-bar syntax and their semantic interpretation.Henk J. Verkuyl - 1981 - In Jeroen A. G. Groenendijk, Theo M. V. Janssen & Martin B. Stokhof (eds.), Formal Methods in the Study of Language Volume 2. U of Amsterdam. pp. 567-599.
    The first aim of the paper is to show that under certain conditions generative syntax can be made suitable for Montague semantics, based on his type logic. One of the conditions is to make branching in the so-called X-bar syntax strictly binary, This makes it possible to provide an adequate semantics for Noun Phrases by taking them as referring to sets of collections of sets of entities ( type <ett,t>) rather than to sets of sets of entities (ett).
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  20.  46
    Numerical competence in animals: Definitional issues, current evidence, and a new research agenda.Hank Davis & Rachelle Pérusse - 1988 - Behavioral and Brain Sciences 11 (4):561-579.
  21. Numerical Identity: Process and Substance Metaphysics.Sahana Rajan - manuscript
    Numerical identity is the non-relational sameness of an object to itself. It is concerned with understanding how entities undergo change and maintain their identity. In substance metaphysics, an entity is considered a substance with an essence and such an essence is the source of its power. However, such a framework fails to explain the sense in which an entity is still the entity it was, amidst changes. Those who claim that essence is unaffected by existence are faced with challenge of (...)
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  22.  23
    Ostrowski Numeration Systems, Addition, and Finite Automata.Philipp Hieronymi & Alonza Terry Jr - 2018 - Notre Dame Journal of Formal Logic 59 (2):215-232.
    We present an elementary three-pass algorithm for computing addition in Ostrowski numeration systems. When a is quadratic, addition in the Ostrowski numeration system based on a is recognizable by a finite automaton. We deduce that a subset of X⊆Nn is definable in, where Va is the function that maps a natural number x to the smallest denominator of a convergent of a that appears in the Ostrowski representation based on a of x with a nonzero coefficient if and only if (...)
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  23. Numerical origins: The critical questions.Karenleigh Anne Overmann - 2021 - Journal of Cognition and Culture 5 (21):449-468.
    Four perspectives on numerical origins are examined. The nativist model sees numbers as an aspect of numerosity, the biologically endowed ability to appreciate quantity that humans share with other species. The linguistic model sees numbers as a function of language. The embodied model sees numbers as conceptual metaphors informed by physical experience and expressed in language. Finally, the extended model sees numbers as conceptual outcomes of a cognitive system that includes material forms as constitutive components. If numerical origins are to (...)
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  24.  39
    Numerical Identity and the Constitution of Transcendence in Transcendental Phenomenology.Burt C. Hopkins - 2016 - Research in Phenomenology 46 (2):205-220.
    _ Source: _Volume 46, Issue 2, pp 205 - 220 I investigate the phenomenological significance of Husserl’s appeal to the “numerical identity” of _irreality_ as it appears in recollected manifolds of lived-experience in his mature account of the transcendental constitution of transcendence and find it wanting. I show that what is at stake for Husserl in this appeal is the descriptive mark that exhibits the distinction between a unit of meaning as it is constituted in psychologically determined lived-experience and as (...)
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  25.  47
    Numerical representation in the parietal lobes: Abstract or not abstract?Roi Cohen Kadosh & Vincent Walsh - 2009 - Behavioral and Brain Sciences 32 (3-4):313-328.
    The study of neuronal specialisation in different cognitive and perceptual domains is important for our understanding of the human brain, its typical and atypical development, and the evolutionary precursors of cognition. Central to this understanding is the issue of numerical representation, and the question of whether numbers are represented in an abstract fashion. Here we discuss and challenge the claim that numerical representation is abstract. We discuss the principles of cortical organisation with special reference to number and also discuss methodological (...)
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  26.  9
    Recursive Numeral Systems Optimize the Trade‐off Between Lexicon Size and Average Morphosyntactic Complexity.Milica Denić & Jakub Szymanik - 2024 - Cognitive Science 48 (3):e13424.
    Human languages vary in terms of which meanings they lexicalize, but this variation is constrained. It has been argued that languages are under two competing pressures: the pressure to be simple (e.g., to have a small lexicon) and to allow for informative (i.e., precise) communication, and that which meanings get lexicalized may be explained by languages finding a good way to trade off between these two pressures. However, in certain semantic domains, languages can reach very high levels of informativeness even (...)
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  27.  67
    Numerical solution of master equation corresponding to Schumann waves.Florentin Smarandache - manuscript
    Following a hypothesis by Marciak-Kozlowska, 2011, we consider one-dimensional Schumann wave transfer phenomena. Numerical solution of that equation was obtained by the help of Mathematica.
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  28.  7
    Numerical operations, transparency illusions and the datafication of governance.Hans Krause Hansen - 2015 - European Journal of Social Theory 18 (2):203-220.
    Building on conceptual insights from the history and sociology of numbers, media and surveillance studies, and theories of governance and risk, this article analyzes the forms of transparency produced by the use of numbers in social life. It examines what it is about numbers that often makes their ‘truth claims’ so powerful, investigates the role that numerical operations play in the production of retrospective, real-time and anticipatory forms of transparency in contemporary politics and economic transactions, and discusses some of the (...)
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  29.  18
    Beyond Numerical and Causal Accuracy: Expanding the Set of Justificational Criteria.Jeffry L. Ramsey - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:485 - 499.
    I argue that numerical and causal accuracy arguments can be successful only if: (1) the theories in use are known to be true, (2) computational difficulties do not exist, and (3) the experimental data are stable and resolved. When any one or more of these assumptions are not satisfied, additional justificational considerations must be invoked. I illustrate the need for range of validity and intelligibility claims with examples drawn from chemical kinetics. My arguments suggest that the realist and anti-realist accounts (...)
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  30. Numerical testing of evolution theories.Nils Aall Barricelli - 1962 - Acta Biotheoretica 16 (1):69-98.
    An interpretive system for the IBM 704 computer permitting interpretation of the genetic pattern of a numeric symbioorganism as a game strategy has been developed. Selection for best performance in a simple game has been applied in a preliminary experiment. An objective method to measure the quality of a game played is described. The results presented in the article show a small but significant improvement of game quality during a period of 2300 generations.The general characteristics of the phenomena observed are (...)
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  31.  16
    Equilibrium States in Numerical Argumentation Networks.D. M. Gabbay & O. Rodrigues - 2015 - Logica Universalis 9 (4):411-473.
    Given an argumentation network with initial values to the arguments, we look for algorithms which can yield extensions compatible with such initial values. We find that the best way of tackling this problem is to offer an iteration formula that takes the initial values and the attack relation and iterates a sequence of intermediate values that eventually converges leading to an extension. The properties surrounding the application of the iteration formula and its connection with other numerical and non-numerical techniques proposed (...)
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  32.  44
    Temporal, numerical and meta-level dynamics in argumentation networks.H. Barringer, D. M. Gabbay & J. Woods - 2012 - Argument and Computation 3 (2-3):143 - 202.
    This paper studies general numerical networks with support and attack. Our starting point is argumentation networks with the Caminada labelling of three values 1=in, 0=out and ½=undecided. This is generalised to arbitrary values in [01], which enables us to compare with other numerical networks such as predator?prey ecological networks, flow networks, logical modal networks and more. This new point of view allows us to see the place of argumentation networks in the overall landscape of networks and import and export ideas (...)
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  33. Numerical simulations of the Lewis signaling game: Learning strategies, pooling equilibria, and the evolution of grammar.Jeffrey A. Barrett - unknown
    David Lewis (1969) introduced sender-receiver games as a way of investigating how meaningful language might evolve from initially random signals. In this report I investigate the conditions under which Lewis signaling games evolve to perfect signaling systems under various learning dynamics. While the 2-state/2- term Lewis signaling game with basic urn learning always approaches a signaling system, I will show that with more than two states suboptimal pooling equilibria can evolve. Inhomogeneous state distributions increase the likelihood of pooling equilibria, but (...)
     
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  34.  23
    Gather / numerous as a mass/count opposition.Jeremy Kuhn - 2020 - Natural Language Semantics 28 (3):225-253.
    Predicates like gather and ones like be numerous have both been described as ‘collective predicates,’ since they predicate something of a plurality. The two classes of predicates differ, however, with respect to plural quantifiers, which are grammatical with gather-type predicates but ungrammatical with numerous-type predicates. Here, I show that the gather/numerous opposition derives from mereological properties that are familiar from the domains of telicity and mass/count. I address problems of undergeneration and overgeneration with two technical innovations: first, I weaken the (...)
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  35. The epistemic significance of numerals.Jan Heylen - 2014 - Synthese 198 (Suppl 5):1019-1045.
    The central topic of this article is (the possibility of) de re knowledge about natural numbers and its relation with names for numbers. It is held by several prominent philosophers that (Peano) numerals are eligible for existential quantification in epistemic contexts (‘canonical’), whereas other names for natural numbers are not. In other words, (Peano) numerals are intimately linked with de re knowledge about natural numbers, whereas the other names for natural numbers are not. In this article I am looking for (...)
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  36.  16
    Ignorance implicatures of modified numerals.Alexandre Cremers, Liz Coppock, Jakub Dotlačil & Floris Roelofsen - 2022 - Linguistics and Philosophy 45 (3):683-740.
    Modified numerals, such as at least three and more than five, are known to sometimes give rise to ignorance inferences. However, there is disagreement in the literature regarding the nature of these inferences, their context dependence, and differences between at least and more than. We present a series of experiments which sheds new light on these issues. Our results show that the ignorance inferences of at least are more robust than those of more than, the presence and strength of the (...)
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  37.  26
    How numerals support new cognitive capacities.Stefan Buijsman - 2020 - Synthese 197 (9):3779-3796.
    Mathematical cognition has become an interesting case study for wider theories of cognition. Menary :1–20, 2015) argues that arithmetical cognition not only shows that internalist theories of cognition are wrong, but that it also shows that the Hypothesis of Extended Cognition is right. I examine this argument in more detail, to see if arithmetical cognition can support such conclusions. Specifically, I look at how the use of numerals extends our arithmetical abilities from quantity-related innate systems to systems that can deal (...)
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  38.  21
    Processing numerical information: A choice time analysis.Robert Sekuler, Elliot Rubin & Robert Armstrong - 1971 - Journal of Experimental Psychology 90 (1):75.
  39.  31
    Processing of Numerical and Proportional Quantifiers.Sailee Shikhare, Stefan Heim, Elise Klein, Stefan Huber & Klaus Willmes - 2015 - Cognitive Science 39 (7):1504-1536.
    Quantifier expressions like “many” and “at least” are part of a rich repository of words in language representing magnitude information. The role of numerical processing in comprehending quantifiers was studied in a semantic truth value judgment task, asking adults to quickly verify sentences about visual displays using numerical or proportional quantifiers. The visual displays were composed of systematically varied proportions of yellow and blue circles. The results demonstrated that numerical estimation and numerical reference information are fundamental in encoding the meaning (...)
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  40.  7
    Numerical Existence Property and Categories with an Internal Copy.Samuele Maschio - 2020 - Logica Universalis 14 (3):383-394.
    We define here a notion of internal copy and of weak internal copy of a category. We will then determine some families of categories having an internal copy or a weak internal copy. We will consider categories of definable classes of first-order theories and we will see that the notion of internal copy is related to the notion of numerical existence property.
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  41.  17
    Numerical representations: abstract or supramodal? Some may be spatial.Giuseppe Vallar & Luisa Girelli - 2009 - Behavioral and Brain Sciences 32 (3-4):354-355.
    The target article undermines the existence of a shared unitary numerical format, illustrating a variety of representations. The / dichotomy does not capture their specific features. These representations are with respect to the sensory modality of the stimulus, and independent of its specific notation, with a main role of spatial codes, both related and unrelated to the mental number line.
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  42.  32
    The Numerical Syllogism and Existential Presupposition.Wallace A. Murphree - 1997 - Notre Dame Journal of Formal Logic 38 (1):49-64.
    The paper presents a numerical interpretation of the quantifiers of traditional categorical propositions and then offers a generalization to accommodate all other numerical values. Next, it considers the implications possible on the basis of both minimum and maximum existential presuppositions; and finally, it shows that every pair of categorical premises yields multiple conclusions when appropriate minimum and maximum presuppositions are made for the terms of the premises.
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  43. Intrinsic Explanations and Numerical Representations.M. Eddon - 2014 - In Robert M. Francescotti (ed.), Companion to Intrinsic Properties. Boston: De Gruyter. pp. 271-290.
    In Science Without Numbers (1980), Hartry Field defends a theory of quantity that, he claims, is able to provide both i) an intrinsic explanation of the structure of space, spacetime, and other quantitative properties, and ii) an intrinsic explanation of why certain numerical representations of quantities (distances, lengths, mass, temperature, etc.) are appropriate or acceptable while others are not. But several philosophers have argued otherwise. In this paper I focus on arguments from Ellis and Milne to the effect that one (...)
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  44.  42
    Numerical Continuity in Material Substances.Jorge J. E. Gracia - 1979 - Southwestern Journal of Philosophy 10 (2):73-92.
    This paper investigates the problem of numerical continuity in thomistic metaphysics and attempts to point out the principle of identity in material substances. it has three parts: the first clarifies the issue and presents the possible alternatives; the second rejects various solutions which have been proposed by interpreters of thomas aquinas such as matter, form, accidents, and substance; and the third part argues that within thomistic metaphysics it is only existence ("esse") that may be considered as an acceptable candidate for (...)
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  45.  13
    Numerical Approach for Solving the Fractional Pantograph Delay Differential Equations.Jalal Hajishafieiha & Saeid Abbasbandy - 2022 - Complexity 2022:1-10.
    A new class of polynomials investigates the numerical solution of the fractional pantograph delay ordinary differential equations. These polynomials are equipped with an auxiliary unknown parameter a, which is obtained using the collocation and least-squares methods. In this study, the numerical solution of the fractional pantograph delay differential equation is displayed in the truncated series form. The upper bound of the solution as well as the error analysis and the rate of convergence theorem are also investigated in this study. In (...)
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  46. Well-Structured Biology: Numerical Taxonomy's Epistemic Vision for Systematics.Beckett Sterner - 2014 - In Andrew Hamilton (ed.), Patterns in Nature. University of California Press. pp. 213-244.
    What does it look like when a group of scientists set out to re-envision an entire field of biology in symbolic and formal terms? I analyze the founding and articulation of Numerical Taxonomy between 1950 and 1970, the period when it set out a radical new approach to classification and founded a tradition of mathematics in systematic biology. I argue that introducing mathematics in a comprehensive way also requires re-organizing the daily work of scientists in the field. Numerical taxonomists sought (...)
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  47. From numerical concepts to concepts of number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
    Many experiments with infants suggest that they possess quantitative abilities, and many experimentalists believe that these abilities set the stage for later mathematics: natural numbers and arithmetic. However, the connection between these early and later skills is far from obvious. We evaluate two possible routes to mathematics and argue that neither is sufficient: (1) We first sketch what we think is the most likely model for infant abilities in this domain, and we examine proposals for extrapolating the natural number concept (...)
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  48. Numerically Aided Methods in Phenomenology: A Demonstration.Don Kuiken, Don Schopflocher & T. Wild - 1989 - Journal of Mind and Behavior 10 (4):373-392.
    Phenomenological psychology has emphasized that experience as it is immediately "given" to the experiencing individual is an appropriate subject matter for psychological investigation. Consideration of the methodological implications of this stance suggests that certain text analytic and cluster analytic methods could be used to discern the identifying properties of different types of experience. We present results of a study in which textual analysis was used to identify recurrent properties of participants' verbal accounts of their experience, cluster analysis was used to (...)
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  49.  57
    Numerical abstraction by human infants.Prentice Starkey, Elizabeth S. Spelke & Rochel Gelman - 1990 - Cognition 36 (2):97-127.
  50.  44
    Numbers through numerals. The constitutive role of external representations.Dirk Schlimm - 2018 - In Sorin Bangu (ed.), Naturalizing Logico-Mathematical Knowledge: Approaches From Psychology and Cognitive Science. New York: Routledge. pp. 195–217.
    Our epistemic access to mathematical objects, like numbers, is mediated through our external representations of them, like numerals. Nevertheless, the role of formal notations and, in particular, of the internal structure of these notations has not received much attention in philosophy of mathematics and cognitive science. While systems of number words and of numerals are often treated alike, I argue that they have crucial structural differences, and that one has to understand how the external representation works in order to form (...)
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