Results for 'numerical elaboration'

967 found
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  1. Constructing a concept of number.Karenleigh Overmann - 2018 - Journal of Numerical Cognition 2 (4):464–493.
    Numbers are concepts whose content, structure, and organization are influenced by the material forms used to represent and manipulate them. Indeed, as argued here, it is the inclusion of multiple forms (distributed objects, fingers, single- and two-dimensional forms like pebbles and abaci, and written notations) that is the mechanism of numerical elaboration. Further, variety in employed forms explains at least part of the synchronic and diachronic variability that exists between and within cultural number systems. Material forms also impart (...)
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  2. The curious idea that Māori once counted by elevens, and the insights it still holds for cross-cultural numerical research.Karenleigh Anne Overmann - 2020 - Journal of the Polynesian Society 1 (129):59-84.
    The idea the New Zealand Māori once counted by elevens has been viewed as a cultural misunderstanding originating with a mid-nineteenth-century dictionary of their language. Yet this “remarkable singularity” had an earlier, Continental origin, the details of which have been lost over a century of transmission in the literature. The affair is traced to a pair of scientific explorers, René-Primevère Lesson and Jules Poret de Blosseville, as reconstructed through their publications on the 1822–1825 circumnavigational voyage of the Coquille, a French (...)
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  3. A new look at old numbers, and what it reveals about numeration.Karenleigh Anne Overmann - 2021 - Journal of Near Eastern Studies 2 (80):291-321.
    In this study, the archaic counting systems of Mesopotamia as understood through the Neolithic tokens, numerical impressions, and proto-cuneiform notations were compared to the traditional number-words and counting methods of Polynesia as understood through contemporary and historical descriptions of vocabulary and behaviors. The comparison and associated analyses capitalized on the ability to understand well-known characteristics of Uruk-period numbers like object-specific counting, polyvalence, and context-dependence through historical observations of Polynesian counting methods and numerical language, evidence unavailable for ancient numbers. (...)
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  4. The material origin of numbers: Insights from the archaeology of the Ancient Near East.Karenleigh Anne Overmann - 2019 - Piscataway, NJ 08854, USA: Gorgias Press.
    What are numbers, and where do they come from? A novel answer to these timeless questions is proposed by cognitive archaeologist Karenleigh A. Overmann, based on her groundbreaking study of material devices used for counting in the Ancient Near East—fingers, tallies, tokens, and numerical notations—as interpreted through the latest neuropsychological insights into human numeracy and literacy. The result, a unique synthesis of interdisciplinary data, outlines how number concepts would have been realized in a pristine original condition to develop into (...)
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  5. What are Tropes, Fundamentally? A Formal Ontological Account.Jani Hakkarainen - 2018 - Acta Philosophica Fennica 94:129-159.
    In this paper, I elaborate on the Strong Nuclear Theory (SNT) of tropes and substances, which I have defended elsewhere, using my metatheory about formal ontology and especially fundamental ontological form. According to my metatheory, for an entity to have an ontological form is for it to be a relatum of a formal ontological relation or relations jointly in an order. The full fundamental ontological form is generically identical to a simple formal ontological relation or relations jointly in an order. (...)
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  6. How People Judge What Is Reasonable.Kevin P. Tobia - 2018 - Alabama Law Review 70 (2):293-359.
    A classic debate concerns whether reasonableness should be understood statistically (e.g., reasonableness is what is common) or prescriptively (e.g., reasonableness is what is good). This Article elaborates and defends a third possibility. Reasonableness is a partly statistical and partly prescriptive “hybrid,” reflecting both statistical and prescriptive considerations. Experiments reveal that people apply reasonableness as a hybrid concept, and the Article argues that a hybrid account offers the best general theory of reasonableness. -/- First, the Article investigates how ordinary people judge (...)
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  7. Aspects of the Rapid Development of Christian Religious Travel in the 4th Century A.D.Jan M. Van der Molen - Mar 20, 2020 - University of Groningen.
    'People travelled for numerous reasons,' so J.W. Drijvers submits at the beginning of his piece on travel and pilgrimage literature. Be it ‘commerce, government affairs, religion, education, military business or migration,’ people ‘made use of the elaborate system of roads and modes of transport such as wagons, horses and boats’ to traverse the far-reaching stretches of the Roman Empire. And for 4th century Christians in particular, participating in religious festivals as well as interaction with holy sites, sacred artifacts and clergymen (...)
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  8. Peirce's Maxim of Pragmatism: 61 Formulations.Jon Alan Schmidt - 2020 - Transactions of the Charles S. Peirce Society 56 (4):580-599.
    Peirce is best known as the founder of pragmatism, but his dissatisfaction with how others understood and appropriated it prompted him to rename his own doctrine “pragmaticism” and to compose several variants of his original maxim defining it, as well as numerous restatements and elaborations. This paper presents an extensive selection of such formulations, followed by analysis and commentary demonstrating that for Peirce the ultimate meaning of an intellectual concept is properly expressed as a conditional proposition about the deliberate, self-controlled (...)
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  9.  47
    Why might animals remember? A functional framework for episodic memory research in comparative psychology.Alexandria Boyle & Simon Brown - 2024 - Learning and Behavior 2024.
    One of Clayton’s major contributions to our understanding of animal minds has been her work on episodic-like memory. A central reason for the success of this work was its focus on ecological validity: rather than looking for episodic memory for arbitrary stimuli in artificial contexts, focussing on contexts in which episodic memory would serve a biological function such as food caching. This review aims to deepen this insight by surveying the numerous functions that have been proposed for episodic memory, articulating (...)
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  10. Comparative analysis of models for adjustment procedure in assets value independent evaluation performed by comparative approach.Yuri Pozdnyakov, Zoryana Skybinska, Tetiana Gryniv, Igor Britchenko, Peter Losonczi, Olena Magopets, Oleksandr Skybinskyi & Nataliya Hryniv - 2021 - Eastern-European Journal of Enterprise Technologies 6 (13 (114)):80–93.
    This paper addresses the field of economic measurements of the value of assets, carried out by the methods of independent expert evaluation. The mathematical principles of application, within a comparative methodical approach, of additive and multiplicative models for correcting the cost of single indicator of compared objects have been considered. The differences of mathematical basis of the compared models were analyzed. It has been shown that the ambiguity in the methodology of correction procedure requires studying the advantages and disadvantages of (...)
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  11. Being There and Getting There: A View on the Nature and Application of Models.William M. Goodman - manuscript
    This paper updates (2017) a previously-presented* model of models, which can be used to clarify discussion and analysis in a variety of disputes and debates, since many such discussions hinge on displaying or implying models about how things are related. Knowing about models does not itself supply any new information about our world, but it might help us to recognize when and how information is being conveyed on these matters, or where possibly it is being obscured. If a claim P (...)
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  12. Mad Speculation and Absolute Inhumanism: Lovecraft, Ligotti, and the Weirding of Philosophy.Ben Woodard - 2011 - Continent 1 (1):3-13.
    continent. 1.1 : 3-13. / 0/ – Introduction I want to propose, as a trajectory into the philosophically weird, an absurd theoretical claim and pursue it, or perhaps more accurately, construct it as I point to it, collecting the ground work behind me like the Perpetual Train from China Mieville's Iron Council which puts down track as it moves reclaiming it along the way. The strange trajectory is the following: Kant's critical philosophy and much of continental philosophy which has followed, (...)
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  13. Updating the “abstract–concrete” distinction in Ancient Near Eastern numbers.Karenleigh Overmann - 2018 - Cuneiform Digital Library Journal 1:1–22.
    The characterization of early token-based accounting using a concrete concept of number, later numerical notations an abstract one, has become well entrenched in the literature. After reviewing its history and assumptions, this article challenges the abstract–concrete distinction, presenting an alternative view of change in Ancient Near Eastern number concepts, wherein numbers are abstract from their inception and materially bound when most elaborated. The alternative draws on the chronological sequence of material counting technologies used in the Ancient Near East—fingers, tallies, (...)
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  14. What are animals conscious of?Alain Morin (ed.) - 2012 - Columbia Press.
    There is little doubt that animals are ―conscious‖. Animals hunt prey, escape predators, explore new environments, eat, mate, learn, feel, and so forth. If one defines consciousness as being aware of external events and experiencing mental states such as sensations and emotions (Natsoulas, 1978), then gorillas, dogs, bears, horses, pigs, pheasants, cats, rabbits, snakes, magpies, wolves, elephants, and lions, to name a few creatures, clearly qualify. The contentious issue rather is: Do these animals know that they are perceiving an external (...)
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  15. Ontologie relazionali e metafisica trinitaria. Sussistenze, eventi e gunk.Damiano Migliorini - 2022 - Brescia: Morcelliana.
    The book aims to examine how a Trinitarian Theism can be formulated through the elaboration of a Relational Ontology and a Trinitarian Metaphysics, in the context of a hyperphatic epistemology. This metaphysics has been proposed by some supporters of the so-called Open Theism as a solution to the numerous dilemmas of Classical Theism. The hypothesis they support is that the Trinitarian nature of God, reflected in a world of multiplicity, relationality, substance and relations, demands that we think of God (...)
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  16. Some Concepts of Space, Time, and Lengths in Simplified Chinese*: An Analytical Linguistics Approach.Yang Immanuel Pachankis - 2022 - International Journal of Innovative Science and Research Technology 7 (6):550-562.
    The article explains on the two-year experiment after the author’s finalization of dissertation. The thesis of the dissertation was hidden in the last chapter with analytical linguistics. It was done so with the fascist development of the Chinese Communist regime with neo- Nazi characteristics. Since numerous prior warnings on the political downshifts & coup d’état in China was willfully ignored by the university, the linguistic innovations in dissertation found a balance between multilateralism and outer space (security). The experiments were conducted (...)
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  17. Kuznetsov V. From studying theoretical physics to philosophical modeling scientific theories: Under influence of Pavel Kopnin and his school.Volodymyr Kuznetsov - 2017 - ФІЛОСОФСЬКІ ДІАЛОГИ’2016 ІСТОРІЯ ТА СУЧАСНІСТЬ У НАУКОВИХ РОЗМИСЛАХ ІНСТИТУТУ ФІЛОСОФІЇ 11:62-92.
    The paper explicates the stages of the author’s philosophical evolution in the light of Kopnin’s ideas and heritage. Starting from Kopnin’s understanding of dialectical materialism, the author has stated that category transformations of physics has opened from conceptualization of immutability to mutability and then to interaction, evolvement and emergence. He has connected the problem of physical cognition universals with an elaboration of the specific system of tools and methods of identifying, individuating and distinguishing objects from a scientific theory domain. (...)
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  18. Science Fiction: Science, Vaihinger and Spengler's Fictionalist Philosophy of Science.Gregory Morgan Swer - 2021 - In David Engels, Gerd Morgenthaler & Max Otte (eds.), Oswald Spengler in an Age of Globalisation. Berlin/Lüdinghausen: Manuscriptum. pp. 197-225.
    Oswald Spengler is best known as a philosopher of history. However, one can trace in volume one of his The Decline of the West a sustained consideration of philosophical issues pertaining to the nature and practice of science that I suggest can be considered to be a philosophy of science. Not only has Spengler’s philosophy of science been largely overlooked, so too has its peculiar fictionalist character. By elaborating on the fictionalist character of Spengler’s scientific views I shall consider his (...)
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  19. Sztuka a prawda. Problem sztuki w dyskusji między Gorgiaszem a Platonem (Techne and Truth. The problem of techne in the dispute between Gorgias and Plato).Zbigniew Nerczuk - 2002 - Wydawnictwo Uniwersytetu Wrocławskiego.
    Techne and Truth. The problem of techne in the dispute between Gorgias and Plato -/- The source of the problem matter of the book is the Plato’s dialogue „Gorgias”. One of the main subjects of the discussion carried out in this multi-aspect work is the issue of the art of rhetoric. In the dialogue the contemporary form of the art of rhetoric, represented by Gorgias, Polos and Callicles, is confronted with Plato’s proposal of rhetoric and concept of art (techne). The (...)
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  20. La valeur de l'incertitude : l'évaluation de la précision des mesures physiques et les limites de la connaissance expérimentale.Fabien Grégis - 2016 - Dissertation, Université Sorbonne Paris Cité Université Paris.Diderot (Paris 7)
    Abstract : A measurement result is never absolutely accurate: it is affected by an unknown “measurement error” which characterizes the discrepancy between the obtained value and the “true value” of the quantity intended to be measured. As a consequence, to be acceptable a measurement result cannot take the form of a unique numerical value, but has to be accompanied by an indication of its “measurement uncertainty”, which enunciates a state of doubt. What, though, is the value of measurement uncertainty? (...)
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  21. Feminist Research and Field work Methodology.Maya S. - 2022 - International Journal of Sociology and Humanities 4 (1).
    The topic of the present paper is conducting feminist research in South Asia and the way politics works in this process. It is specifically based on the experiences of empirical work done in Kerala, the southernmost state in India, which is unique in being one of the only two states with a strong communist movement. In addition, the numerous religions, castes, and communities of the Kerala region can be profitably analyzed in connection with the policies of the Left, emerging feminist (...)
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  22. Metaliteracy for Best Practices in Crisis and Risk Communication.Alireza Salehi-Nejad - 2022 - In Media and Information Literacy Seminar 2022: Nurturing Trust for Media and Information Literacy. Tehran, Tehran Province, Iran:
    The dissemination of information in times of crisis or emergency is distinctive since the affected individuals may take, process, and act on information differently. As the Centers for Disease Control and Prevention noted “the right message at the right time from the right person can save lives.” This study elaborates on the principles of crisis and emergency risk communication (CERC) in the realistic narrative, and notes that a successful CERC should be prompt, accurate, veracious, empathetic, respectful, and promote meaningful action. (...)
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  23. Review of Matthew Homan. Spinoza’s Epistemology through a Geometrical Lens. London: Palgrave Macmillan, 2021. Pp. xv+256. [REVIEW]Yitzhak Y. Melamed - 2023 - Journal of the History of Philosophy 61 (2):329-31.
    Like most, if not all, of his contemporaries, Spinoza never developed a full-fledged philosophy of mathematics. Still, his numerous remarks about mathematics attest not only to his deep interest in the subject (a point which is also confirmed by the significant presence of mathematical books in his library), but also to his quite elaborate and perhaps unique understanding of the nature of mathematics. At the very center of his thought about mathematics stands a paradox (or, at least, an apparent paradox): (...)
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  24. BORDERS: The attitudes of students at the University of Split on immigration, immigrants, and refugees.Marita Brčić Kuljiš, Toni Popović, Renata Relja & Anita Lunic - 2021 - Split: Sveučilište u Splitu, Filozofski fakultet.
    Migration has, in recent years, been one of the most current topics both in Croatia and worldwide. We have witnessed increased emigration (i.e. out-migration) of Croatian citizens, as well as attempts to cross the Croatian state border by citizens of other countries. This book focuses on migration in the context of the so-called migrant and refugee crisis, which is considered from a philosophical and sociological perspective. Any gender-specific terms, irrespective of the gender in which they are used here, refer equally (...)
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  25. 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 (...)
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  26. 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, (...)
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  27. Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems.Yaroslav Sergeyev - 2017 - EMS Surveys in Mathematical Sciences 4 (2):219–320.
    In this survey, a recent computational methodology paying a special attention to the separation of mathematical objects from numeral systems involved in their representation is described. It has been introduced with the intention to allow one to work with infinities and infinitesimals numerically in a unique computational framework in all the situations requiring these notions. The methodology does not contradict Cantor’s and non-standard analysis views and is based on the Euclid’s Common Notion no. 5 “The whole is greater than the (...)
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  28. Numerical computations and mathematical modelling with infinite and infinitesimal numbers.Yaroslav Sergeyev - 2009 - Journal of Applied Mathematics and Computing 29:177-195.
    Traditional computers work with finite numbers. Situations where the usage of infinite or infinitesimal quantities is required are studied mainly theoretically. In this paper, a recently introduced computational methodology (that is not related to the non-standard analysis) is used to work with finite, infinite, and infinitesimal numbers numerically. This can be done on a new kind of a computer – the Infinity Computer – able to work with all these types of numbers. The new computational tools both give possibilities to (...)
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  29. Improving Numerical Performance in Grade-7 Students through Effective Remedial Instruction.Pearl Marie A. Legal & Gregorio A. Legal - 2024 - International Journal of Multidisciplinary Educational Research and Innovation 2 (1):1-20.
    This study aimed to assess the effectiveness of remedial instruction in improving the numeracy skills of Grade 7 students at Malbug National High School during the school year 2023-2024. Adopting a quasi-experimental research design, the research focused on Grade 7 students at Malbug National High School, Cawayan East District, Masbate Province Division, Philippines, identified as non-numerates, employing pre-tests and post-tests as essential research tools. The independent variable was the remedial instruction in numeracy, while the dependent variable was students' numeracy performance (...)
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  30. 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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  31. 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 (...)
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  32. 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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  33. 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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  34. Numerical infinities applied for studying Riemann series theorem and Ramanujan summation.Yaroslav Sergeyev - 2018 - In AIP Conference Proceedings 1978. AIP. pp. 020004.
    A computational methodology called Grossone Infinity Computing introduced with the intention to allow one to work with infinities and infinitesimals numerically has been applied recently to a number of problems in numerical mathematics (optimization, numerical differentiation, numerical algorithms for solving ODEs, etc.). The possibility to use a specially developed computational device called the Infinity Computer (patented in USA and EU) for working with infinite and infinitesimal numbers numerically gives an additional advantage to this approach in comparison with (...)
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  35. Numerals and quantifiers in X-bar syntax and their semantic interpretation.Henk J. Verkuyl - 1981 - In Jeroen A. G. Groenendijk (ed.), Formal methods in the study of language. 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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  36. 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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  37. 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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  38. Numerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains.Yaroslav Sergeyev - 2009 - Nonlinear Analysis Series A 71 (12):e1688-e1707.
    The goal of this paper consists of developing a new (more physical and numerical in comparison with standard and non-standard analysis approaches) point of view on Calculus with functions assuming infinite and infinitesimal values. It uses recently introduced infinite and infinitesimal numbers being in accordance with the principle ‘The part is less than the whole’ observed in the physical world around us. These numbers have a strong practical advantage with respect to traditional approaches: they are representable at a new (...)
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  39. Elaboration and intuitions of disagreement.Alex Davies - 2017 - Philosophical Studies 174 (4):861-875.
    Mark Richard argues for truth-relativism about claims made using gradable adjectives. He argues that truth-relativism is the best explanation of two kinds of linguistic data, which I call: true cross-contextual reports and infelicitous denials of conflict. Richard claims that such data are generated by an example that he discusses at length. However, the consensus is that these linguistic data are illusory because they vanish when elaborations are added to examples of the same kind as Richard’s original. In this paper I (...)
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  40. Numerical methods for solving initial value problems on the Infinity Computer.Yaroslav Sergeyev, Marat Mukhametzhanov, Francesca Mazzia, Felice Iavernaro & Pierluigi Amodio - 2016 - International Journal of Unconventional Computing 12 (1):3-23.
    New algorithms for the numerical solution of Ordinary Differential Equations (ODEs) with initial condition are proposed. They are designed for work on a new kind of a supercomputer – the Infinity Computer, – that is able to deal numerically with finite, infinite and infinitesimal numbers. Due to this fact, the Infinity Computer allows one to calculate the exact derivatives of functions using infinitesimal values of the stepsize. As a consequence, the new methods described in this paper are able to (...)
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  41. Grammar, Numerals, and Number Words: A Wittgensteinian Reflection on the Grammar of Numbers.Dennis De Vera - 2014 - Social Science Diliman 10 (1):53-100.
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  42. Plasticity, Numerical Identity,and Transitivity.Samuel Kahn - 2022 - International Philosophical Quarterly 62 (3):289-299.
    In a recent paper, Chunghyoung Lee argues that, because zygotes are developmentally plastic, they cannot be numerically identical to the singletons into which they develop, thereby undermining conceptionism. In this short paper, I respond to Lee. I argue, first, that, on the most popular theories of personal identity, zygotic plasticity does not undermine conceptionism, and, second, that, even overlooking this first issue, Lee’s plasticity argument is problematic. My goal in all of this is not to take a stand in the (...)
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  43. Early numerical cognition and mathematical processes.Markus Pantsar - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):285-304.
    In this paper I study the development of arithmetical cognition with the focus on metaphorical thinking. In an approach developing on Lakoff and Núñez, I propose one particular conceptual metaphor, the Process → Object Metaphor, as a key element in understanding the development of mathematical thinking.
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  44. 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 (...)
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  45. A Numerical Solution of Ermakov Equation Corresponding to Diffusion Interpretation of Wave Mechanics.Victor Christianto & Florentin Smarandache - manuscript
    It has been long known that a year after Schrödinger published his equation, Madelung also published a hydrodynamics version of Schrödinger equation. Quantum diffusion is studied via dissipative Madelung hydrodynamics. Initially the wave packet spreads ballistically, than passes for an instant through normal diffusion and later tends asymptotically to a sub‐diffusive law. In this paper we will review two different approaches, including Madelung hydrodynamics and also Bohm potential. Madelung formulation leads to diffusion interpretation, which after a generalization yields to Ermakov (...)
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  46. Three Medieval Aristotelians on Numerical Identity and Time.John Morrison - 2012 - In John Marenbon (ed.), Oxford Studies in Medieval Philosophy. Oxford University Press.
    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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  47. Higher order numerical differentiation on the Infinity Computer.Yaroslav Sergeyev - 2011 - Optimization Letters 5 (4):575-585.
    There exist many applications where it is necessary to approximate numerically derivatives of a function which is given by a computer procedure. In particular, all the fields of optimization have a special interest in such a kind of information. In this paper, a new way to do this is presented for a new kind of a computer - the Infinity Computer - able to work numerically with finite, infinite, and infinitesimal number. It is proved that the Infinity Computer is able (...)
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  48. The Connectedness Illusion Influences Numerical Perception Throughout Development.Sam Clarke, Chuyan Qu, Francesca Luzzi & Elizabeth Brannon - manuscript
    Visual illusions of number provide a means of investigating the rules and principles through which approximate number representations are formed. Here, we investigated the developmental trajectory of an important numerical illusion – the connectedness illusion, wherein connecting pairs of items with thin lines reduces their perceived number without altering continuous attributes of the collections. We found that children as young as 5 years of age are affected by the illusion and that the magnitude of the effect increased into adulthood. (...)
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  49. (1 other version)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 (...)
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  50. Hathersage Numerical Identity Lab: Marsden, The New Freewoman, and The Egoist again.Terence Rajivan Edward - 2022 - IJRDO Journal of Social Science and Humanities Research 7 (4):9-12.
    In this paper, I respond to Scholes’s question of whether The Freewoman, The New Freewoman, and The Egoist, all of which were edited by Dora Marsden, were one journal or three.
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