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  1. added 2020-08-05
    Deification of Hero: An Avenue for Realizing National Unity.Uche Janet Ogbalu - 2019 - International Journal of Academic Pedagogical Research (IJAPR) 3 (1):33-39.
    Abstract: When in 1846, Euhemerus, a Greek philosopher propounded a theory that all Greek gods were once men who were deified in their life time and worshipped as a god after their death. The Greeks never take the assertion kindly. Euphemerus was accused of sacrilege. Later findings by anthropologists proved Euphemerus correct. Heroes and deification of heroes are found in different parts of the world. The writer is aware that deification of a hero is a symbiotic venture. This means that (...)
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  2. added 2020-07-31
    A Metatheoretical Basis for Interpretations of Problem-Solving Behavior.Steven James Bartlett - 1978 - Methodology and Science: Interdisciplinary Journal for the Empirical Study of the Foundations of Science and Their Methodology 11 (2):59-85.
    The paper identifies defining characteristics of the principal models of problem-solving behavior which are useful in developing a general theory of problem-solving. An attempt is made both to make explicit those disagreements between theorists of different persuasions which have served as obstacles to an integrated approach, and to show that these disagreements have arisen from a number of conceptual confusions: The conflict between information processors and behavioral analysts has resulted from a common failure to understand theoretical sufficiency, and hence these (...)
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  3. added 2020-07-24
    A Philosophical Path from Königsberg to Kyoto.Rossella Lupacchini - forthcoming - Sophia:1-18.
    ‘Mathematics is the science of the infinite, its goal the symbolic comprehension of the infinite with human, that is finite, means.’ Along this line, in The Open World, Hermann Weyl contrasted the desire to make the infinite accessible through finite processes, which underlies any theoretical investigation of reality, with the intuitive feeling for the infinite ‘peculiar to the Orient,’ which remains ‘indifferent to the concrete manifold of reality.’ But a critical analysis may acknowledge a valuable dialectical opposition. Struggling to spell (...)
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  4. added 2020-07-16
    Book Review of The Number Sense: How the Mind Creates Mathematics. [REVIEW]Stephen R. Palmquist - 2012 - Journal of Scientific Exploration 26:928-930.
    This book announces a new academic discipline, the “cognitive science of mathematics” (p. XI), by demonstrating how an empirical examination of the ideas underlying our use of mathematical symbols and calculations must employ metaphors grounded in the “embodied mind.” The authors ruthlessly attack what they dub “The Romance of Mathematics” (p. XV), their metaphor for any approach that treats mathematics as grounded in an abstract, disembodied yet objective reality that mysteriously provides the essential structure to the natural, human world.
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  5. added 2020-06-14
    A Reconstruction of Steel’s Multiverse Project.Penelope Maddy & Toby Meadows - forthcoming - Bulletin of Symbolic Logic:1-79.
    This paper reconstructs Steel’s multiverse project in his ‘Gödel’s program’ (Steel [2014]), first by comparing it to those of Hamkins [2012] and Woodin [2011], then by detailed analysis what’s presented in Steel’s brief text. In particular, we reconstruct his notion of a ‘natural’ theory, describe his multiverse axioms and his translation function, and assess the resulting status of the Continuum Hypothesis. In the end, we reconceptualize the defect that Steel thinks CH might suffer from and isolate what it would take (...)
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  6. added 2020-06-14
    Weyl Reexamined: “Das Kontinuum” 100 Years Later.Arnon Avron - forthcoming - Bulletin of Symbolic Logic:1-57.
    Hermann Weyl was one of the greatest mathematicians of the 20th century, with contributions to many branches of mathematics and physics. In 1918 he wrote a famous book, “Das Kontinuum”, on the foundations of mathematics. In that book he described mathematical analysis as a ‘house built on sand’, and tried to ‘replace this shifting foundation with pillars of enduring strength’. In this paper we reexamine and explain the philosophical and mathematical ideas that underly Weyl’s system in “Das Kontinuum”, and show (...)
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  7. added 2020-06-14
    The Nature of Scientific Philosophy.Yaroslav Shramko - forthcoming - Logic and Logical Philosophy:1.
    The goal of this paper is to explain the nature of philosophy as a distinct science with its own subject-matter. This is achieved through a comparative analysis of mathematical and philosophical knowledge that reveals a profound similarity between mathematics and philosophy as mutually complementary sciences exploring the field of abstract entities that can be comprehended only by purely a priori theoretical inquiry. By considering this complementarity, a general definition of philosophy can be obtained by dualizing the traditional Aristotelian definition of (...)
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  8. added 2020-05-21
    The Number of Bricks in a Ziggurat.Ben Blumson & Jarinah Jabbar - 2020 - Mathematics Magazine 93 (3):226-227.
    The number of bricks in a ziggurat is a sum of consecutive squares.
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  9. added 2020-05-02
    Doing the Math: Comparing Ontario and Singapore Mathematics Curriculum at the Primary Level.Dieu Trang Hoang - 2020 - Dissertation, Brock University
    This paper sought to investigate the fundamental differences in mathematics education through a comparison of curriculum of 2 countries—Singapore and Canada (as represented by Ontario)—in order to discover what the Ontario education system may learn from Singapore in terms of mathematics education. Mathematics curriculum were collected for Grades 1 to 8 for Ontario, and the equivalent in Singapore. The 2 curriculums were textually analyzed based on both the original and the revised Bloom’s taxonomy to expose their foci. The difference in (...)
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  10. added 2020-04-20
    Historical Foundations of Physics & Applied Technology as Dynamic Frameworks in Pre-Service STEM.Raffaele Pisano, Philippe Vincent, Kosta Dolenc & Mateja Ploj Virtič - 2020 - Foundations of Science 1 (1):1-30.
    In recent decades, the development of sciences and technologies had a significant impact in society. This impact has been object of analysis from several standpoints, i.e., scientific, communication, historical and anthropological. Consequently, serious changes were required by the society. One of these has been the emerging relationship science in society and its foundations of applied sciences. A related foundational challenging is the educational process, which was and still is an unlimited challenge for teachers and professors: i.e., levels of understanding, curricula, (...)
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  11. added 2020-04-17
    Analisis hasil studi nasional dan internasional.Amin Suyito - 2020 - BAHAN AJAR PERKULIAHAN 2020 (2):1-34.
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  12. added 2019-11-27
    Central Limit Theorem for the Functional of Jump Markov Process.Nguyen Van Huu, Quan-Hoang Vuong & Tran Minh Ngoc - 2005 - In Báo cáo: Hội nghị toàn quốc lần thứ III “Xác suất - Thống kê: Nghiên cứu, ứng dụng và giảng dạy”. Ha Noi: Viện Toán học. pp. 34.
    Central limit theorem for the functional of jump Markov process. Nguyễn Văn Hữu, Vương Quân Hoàng và Trần Minh Ngọc. Báo cáo: Hội nghị toàn quốc lần thứ III “Xác suất - Thống kê: Nghiên cứu, ứng dụng và giảng dạy” (tr. 34). Ba Vì, Hà Tây, ngày 12-14 tháng 05 năm 2005. Viện Toán học / Trường Đại học Khoa học tự nhiên / Đại học Quốc gia Hà Nội.
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  13. added 2019-11-25
    Mathematics : A Very Short Introduction.Timothy Gowers - 2002 - New York, USA: Oxford University Press.
    Mathematics is a subject we are all exposed to in our daily lives, but one which many of us fear. In this introduction, Timothy Gowers elucidates the most fundamental differences, which are primarily philosophical, between advanced mathematics and what we learn at school, so that one emerges with a clearer understanding of such paradoxical-sounding concepts as 'infinity', 'curved space', and 'imaginary numbers'. From basic ideas, through to philosophical queries, to common sociological questions about the mathematical community, this book unravels some (...)
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  14. added 2019-10-31
    Golden Ratio Geometry and the Fine-Structure Constant.Michael A. Sherbon - 2019 - Journal of Advances in Physics 16 (1):362 -368.
    The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With the former golden ratio results, relationships are also shown between the four fundamental forces of nature: electromagnetism, the weak force, the strong force, and the force of gravitation.
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  15. added 2019-09-30
    Calculus of Contextual Rough Sets in Contextual Spaces.Edward Bryniarski & Urszula Wybraniec-Skardowska - 1998 - Journal of Applied Non-Classical Logics 8 (1):9-26.
    The work broadens – to a considerable extent – Z. Pawlak’s original method (1982, 1992) of approximation of sets. The approximation of sets included in a universum U goes on in the contextual approximation space CAS which consists of: 1) a sequence of Pawlak’s approximation spaces (U,Ci), where indexes i from set I are linearly ordered degrees of contexts (I, <), and Ci is the universum partition U, 2) a sequence of binary relations on sets included in U, relations called (...)
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  16. added 2019-09-20
    Colombeau Solutions to Einstein Field Equations.Gravitational Singularities.Jaykov Foukzon - manuscript
    In contemporary mathematics, a Colombeau algebra of Colombeau generalized functions is an algebra of a certain kind containing the space of Schwartz distributions. While in classical distribution theory a general multiplication of distributions is not possible, Colombeau algebras provide a rigorous framework for this. Remark 1.1.1.Such a multiplication of distributions has been a long time mistakenly believed to be impossible because of Schwartz’ impossibility result, which basically states that there cannot be a differential algebra containing the space of distributions and (...)
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  17. added 2019-09-20
    New Exact Quasi-Classical Asymptotic Beyond WKB Approximation and Beyond Maslov Formal Expansion.Jaykov Foukzon - 2015 - Journal of Physics: Conference Series 633 (1):`1-5.
    New exact quasi-classical asymptotic of solutions to the.
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  18. added 2019-09-19
    24th European Summer School on Logic, Language and Information.Janusz Czelakowski, Urszula Wybraniec-Skardowska & Jacek Waldmajer - 2013 - Bulletin of Symbolic Logic 19 (4):519-522.
    The European Summer Schools in Logic, Language and Information (ESSLLI) have been organised every year since 1989 under the auspices of the Association for Logic, Language and Information (FoLLI) in different cities around Europe. The 24th European Summer School in Logic, Language and Information (ESSLLI 2012) took place at the University of Opole, Poland, during August 6-17, 2012. The organisation committee was chaired by Janusz Czelakowski and Urszula Wybraniec-Skardowska (Institute of Mathematics and Informatics, University of Opole) and the programme committee (...)
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  19. added 2019-09-04
    Fine-Structure Constant From Sommerfeld to Feynman.Michael A. Sherbon - 2019 - Journal of Advances in Physics 16 (1):335-343.
    The fine-structure constant, which determines the strength of the electromagnetic interaction, is briefly reviewed beginning with its introduction by Arnold Sommerfeld and also includes the interest of Wolfgang Pauli, Paul Dirac, Richard Feynman and others. Sommerfeld was very much a Pythagorean and sometimes compared to Johannes Kepler. The archetypal Pythagorean triangle has long been known as a hiding place for the golden ratio. More recently, the quartic polynomial has also been found as a hiding place for the golden ratio. The (...)
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  20. added 2019-08-18
    Ground and Explanation in Mathematics.Marc Lange - 2019 - Philosophers' Imprint 19.
    This paper explores whether there is any relation between mathematical proofs that specify the grounds of the theorem being proved and mathematical proofs that explain why the theorem obtains. The paper argues that a mathematical fact’s grounds do not, simply by virtue of grounding it, thereby explain why that fact obtains. It argues that oftentimes, a proof specifying a mathematical fact’s grounds fails to explain why that fact obtains whereas any explanation of the fact does not specify its ground. The (...)
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  21. added 2019-08-03
    Concerning Formal Concept Analysis on Complete Residuated Lattices.Abner de Mattos Brito - 2019 - Dissertation, University of Campinas, Brazil
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  22. added 2019-07-10
    The Well-Ordered Society Under Crisis: A Formal Analysis of Public Reason Vs. Convergence Discourse.Hun Chung - forthcoming - American Journal of Political Science:1-20.
    A well-ordered society faces a crisis whenever a sufficient number of noncompliers enter into the political system. This has the potential to destabilize liberal democratic political order. This article provides a formal analysis of two competing solutions to the problem of political stability offered in the public reason liberalism literature—namely, using public reason or using convergence discourse to restore liberal democratic political order in the well-ordered society. The formal analyses offered in this article show that using public reason fails completely, (...)
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  23. added 2019-07-05
    Perspectives On Organisms: Biological Time, Symmetries And Singularities.Maël Montévil & Giuseppe Longo - 2014 - Springer.
    This authored monograph introduces a genuinely theoretical approach to biology. Starting point is the investigation of empirical biological scaling including their variability, which is found in the literature, e.g. allometric relationships, fractals, etc. The book then analyzes two different aspects of biological time: first, a supplementary temporal dimension to accommodate proper biological rhythms; secondly, the concepts of protension and retention as a means of local organization of time in living organisms. Moreover, the book investigates the role of symmetry in biology, (...)
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  24. added 2019-06-06
    Historical Dynamics of Implicit and Intuitive Elements of Mathematical Knowledge.L. B. Sultanova - 2012 - Liberal Arts in Russiaроссийский Гуманитарный Журналrossijskij Gumanitarnyj Žurnalrossijskij Gumanitaryj Zhurnalrossiiskii Gumanitarnyi Zhurnal 1 (1):30.
    The article deals with historical dynamics of implicit and intuitive elements of mathematical knowledge. The author describes historical dynamics of implicit and intuitive elements and discloses a historical and evolutionary mechanism of building up mathematical knowledge. Each requirement to increase the level of theoretical rigor in mathematics is historically realized as a three-stage process. The first stage considers some general conditions of valid mathematical knowledge recognized by the mathematical community. The second one reveals the level of theoretical rigor increasing, while (...)
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  25. added 2019-06-06
    Alternative Characterizations of Precomplete Numerations.Akira Kanda & Alistair H. Lachlan - 1987 - Mathematical Logic Quarterly 33 (2):97-100.
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  26. added 2019-06-05
    Historical and Epistemological Reflections on the Culture of Machines Around the Renaissance: How Science and Technique Work?Raffaele Pisano & Paolo Bussotti - 2014 - Acta Baltica Historiae Et Philosophiae Scientiarum 2 (2):20-42.
    This paper is divided into two parts, this being the first one. The second is entitled ‘Historical and Epistemological Reflections on the Culture of Machines around Renaissance: Machines, Machineries and Perpetual Motion’ and will be published in Acta Baltica Historiae et Philosophiae Scientiarum in 2015. Based on our recent studies, we provide here a historical and epistemological feature on the role played by machines and machineries. Ours is an epistemological thesis based on a series of historical examples to show that (...)
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  27. added 2019-04-05
    SolarView: Low Distortion Radial Embeddings with a Focus.Thom Castermans, Kevin Verbeek, Bettina Speckmann, Michel Westenberg, Rob Koopman, Shenghui Wang, Hein Van Den Berg & Arianna Betti - 2019 - IEEE Transactions on Visualization and Computer Graphics 25 (10):2969-2982.
    We propose a novel type of low distortion radial embedding which focuses on one specific entity and its closest neighbors. Our embedding preserves near-exact distances to the focus entity and aims to minimize distortion between the other entities. We present an interactive exploration tool SolarView which places the focus entity at the center of a "solar system" and embeds its neighbors guided by concentric circles. SolarView provides an implementation of our novel embedding and several state-of-the-art dimensionality reduction and embedding techniques, (...)
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  28. added 2019-03-19
    Remarks on the Foundations of Mathematics.Ludwig Wittgenstein - 1956 - Oxford: Macmillan.
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  29. added 2019-03-01
    Physical Mathematics and The Fine-Structure Constant.Michael A. Sherbon - 2018 - Journal of Advances in Physics 14 (3):5758-64.
    Research into ancient physical structures, some having been known as the seven wonders of the ancient world, inspired new developments in the early history of mathematics. At the other end of this spectrum of inquiry the research is concerned with the minimum of observations from physical data as exemplified by Eddington's Principle. Current discussions of the interplay between physics and mathematics revive some of this early history of mathematics and offer insight into the fine-structure constant. Arthur Eddington's work leads to (...)
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  30. added 2019-02-14
    Crisis Behavior in Autism Spectrum Disorders: A Self-Organized Criticality Approach.Lucio Tonello, Luca Giacobbi, Alberto Pettenon, Alessandro Scuotto, Massimo Cocchi, Fabio Gabrielli & Glenda Cappello - 2018 - Complexity 2018:1-7.
    The Autism Spectrum Disorder (ASD) represents a set of life-long disorders. In particular, subjects with ASD can display momentary behaviors of acute agitation and aggressiveness called crisis behaviors. These events are problematic for the subject and care providers but little is known about their occurrence, namely, possible relations among intensity, frequency, and duration. A group of ASD subjects (n=33) has been observed for 12 months reporting data on each crisis ( n = 1137 crises). Statistical analysis did not find significant (...)
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  31. added 2019-01-25
    Languages, Machines, and Classical Computation.Luis M. Augusto - 2019 - London, UK: College Publications.
    2nd ed. A circumscription of the classical theory of computation building up from the Chomsky hierarchy.
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  32. added 2019-01-23
    The Mathematics of Slots: Configurations, Combinations, Probabilities.Catalin Barboianu - 2013 - Craiova, Romania: Infarom.
  33. added 2019-01-23
    Texas Hold'em Poker Odds for Your Strategy, with Probability-Based Hand Analyses.Catalin Barboianu - 2011 - Craiova, Romania: Infarom.
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  34. added 2019-01-23
    Problem 11589: Where Are the Zeros?Catalin Barboianu - 2011 - The American Mathematical Monthly 117 (7):653.
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  35. added 2019-01-23
    The Mathematics of Lottery: Odds, Combinations, Systems.Catalin Barboianu - 2009 - Craiova, Romania: Infarom.
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  36. added 2019-01-23
    Problem 11402: Squares on Graphs.Catalin Barboianu - 2008 - The American Mathematical Monthly 115 (10):949.
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  37. added 2019-01-23
    Roulette Odds and Profits: The Mathematics of Complex Bets.Catalin Barboianu - 2008 - Craiova, Romania: Infarom.
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  38. added 2019-01-23
    Understanding and Calculating the Odds: Probability Theory Basics and Calculus Guide for Beginners, with Applications in Games of Chance and Everyday Life.Catalin Barboianu - 2006 - Craiova, Romania: Infarom.
  39. added 2019-01-23
    Probability Guide to Gambling: The Mathematics of Dice, Slots, Roulette, Baccarat, Blackjack, Poker, Lottery and Sport Bets.Catalin Barboianu - 2006 - Craiova, Romania: Infarom.
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  40. added 2019-01-08
    Two Criticisms Against Mathematical Realism.Seungbae Park - 2017 - Diametros 52:96-106.
    Mathematical realism asserts that mathematical objects exist in the abstract world, and that a mathematical sentence is true or false, depending on whether the abstract world is as the mathematical sentence says it is. I raise two objections against mathematical realism. First, the abstract world is queer in that it allows for contradictory states of affairs. Second, mathematical realism does not have a theoretical resource to explain why a sentence about a tricle is true or false. A tricle is an (...)
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  41. added 2018-10-21
    Active Techniques Implemented in an Introductory Signal Processing Course to Help Students Achieve Higher Levels of Learning.Saharnaz Baghdadchi, Rebecca Hardesty, Paul Andreas Hadjipieris & Jace Hargis - 2018 - Papers on Engineering Education Repository.
    Holding students to high standards and assessing, measuring and evaluating their learning with challenging, authentic problems in the midterm and final exams is the goal of the professors who teach core signal processing concepts. However, the heavy reliance of these subjects on mathematics makes it difficult for students to genuinely grasp the concepts and relate to a conceptual framework. Specifically, analyzing the signals and the functionality of systems in Fourier domain; separating the system level analysis from signal level analysis; and (...)
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  42. added 2018-08-24
    The 'Chemical Mechanics' of the Periodic Table.Arnout Ceulemans & Pieter Thyssen - 2018 - In Eric Scerri & Guillermo Restrepo (eds.), Mendeleev to Oganesson: A Multidisciplinary Perspective on the Periodic Table. New York, NY, USA: Oxford University Press. pp. 104-121.
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  43. added 2018-08-20
    Shattered Symmetry: Group Theory From the Eightfold Way to the Periodic Table.Pieter Thyssen & Arnout Ceulemans - 2017 - New York, NY, USA: Oxford University Press.
    The standard model of subatomic particles and the periodic table of the atoms have the common goal to bring order in the bewildering chaos of the constituents of matter. Their success relies on the presence of fundamental symmetries in their core. The purpose of the book is to share the admiration for the power and the beauty of these symmetries. The reader is taken on a journey from the basic geometric symmetry group of a circle to the sublime dynamic symmetries (...)
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  44. added 2018-07-16
    Complementary Inferences on Theoretical Physics and Mathematics.Mesut Kavak - manuscript
    I have been working for a long time about basic laws which direct existence, and some mathematical problems which are waited for a solution. I can count myself lucky, that I could make some important inferences during this time, and I published them in a few papers partially as some propositions. This work aimed to explain and discuss these inferences all together by relating them one another by some extra additions, corrections and explanations being physical phenomena are prior. There are (...)
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  45. added 2018-06-18
    Physical Foundations of Mathematics (In Russian).Andrey Smirnov - manuscript
    The physical foundations of mathematics in the theory of emergent space-time-matter were considered. It is shown that mathematics, including logic, is a consequence of equation which describes the fundamental field. If the most fundamental level were described not by mathematics, but something else, then instead of mathematics there would be consequences of this something else.
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  46. added 2018-06-13
    Mathematische Begriffe in Beispielen und Bildern.Jörg Neunhäuserer - 2017 - Heidelberg: Springer Spektrum.
    Dieses Buch ist ein wichtiges studienbegleitendes Hilfsmittel für alle die Mathematik-Lehrveranstaltungen besuchen. Die Lektüre dieses Buch ermöglicht Ihnen, begriffliche Sicherheit für Mathematik-Vorlesungen und Prüfungen aufzubauen. Die Lektüre jedes Kapitel dieses Buches erlaubt Ihnen, einen Überblick über die Begriffe eines Teilgebiets der Mathematik zu erhalten und diese Begriffe nachhaltig zu erfassen. Wenn Sie als Student einen mathematischen Begriff nicht richtig verstehen oder sich an seine Definition nicht erinnern, können Sie in diesem Buch nachschlagen und erhalten durch paradigmatische Beispiele und Bilder ein (...)
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  47. added 2018-06-13
    Schöne Sätze der Mathematik.Jörg Neunhäuserer - 2015 - Heidelberg, Deutschland: Springer Spektrum.
    In diesem Buch finden Sie Perlen der Mathematik aus 2500 Jahren, beginnend mit Pythagoras und Euklid über Euler und Gauß bis hin zu Poincaré und Erdös. Sie erhalten einen Überblick über schöne und zentrale mathematische Sätze aus neun unterschiedlichen Gebieten und einen Einblick in große elementare Vermutungen. -/- Die Vielfalt an schönen Resultaten bietet eine einzigartige mathematisch-allgemeinbildende Lektüre auf akademischem Niveau. -/- Die Beweise in diesem Buch sind möglichst einfach und kurz gehalten und vermitteln Ihnen wesentliche Ansätze, Ideen und Strategien (...)
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  48. added 2018-06-13
    Dimensional Theoretical Properties of Some Affine Dynamical Systems.Jörg Neunhäuserer - 1999 - Dissertation,
    In this work we study dimensional theoretical properties of some a±ne dynamical systems. By dimensional theoretical properties we mean Hausdor® dimension and box- counting dimension of invariant sets and ergodic measures on theses sets. Especially we are interested in two problems. First we ask whether the Hausdor® and box- counting dimension of invariant sets coincide. Second we ask whether there exists an ergodic measure of full Hausdor® dimension on these invariant sets. If this is not the case we ask the (...)
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  49. added 2018-05-31
    A Note on Incomplete Theory.Han Geurdes - manuscript
    In the paper it is demonstrated that Bell's theorem is unproveable.
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  50. added 2018-05-29
    History & Mathematics: Trends and Cycles.Leonid Grinin & Andrey V. Korotayev - 2014 - Volgograd: "Uchitel" Publishing House.
    The present yearbook (which is the fourth in the series) is subtitled Trends & Cycles. It is devoted to cyclical and trend dynamics in society and nature; special attention is paid to economic and demographic aspects, in particular to the mathematical modeling of the Malthusian and post-Malthusian traps' dynamics. An increasingly important role is played by new directions in historical research that study long-term dynamic processes and quantitative changes. This kind of history can hardly develop without the application of mathematical (...)
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