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  1. added 2019-03-19
    Remarks on the Foundations of Mathematics.Ludwig Wittgenstein - 1978 - Oxford:
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  2. 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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  3. 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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  4. added 2019-01-25
    Languages, Machines, and Classical Computation.Luis M. Augusto - 2019 - London, UK: College Publications.
    A circumscription of the classical theory of computation building up from the Chomsky hierarchy.
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  5. added 2019-01-23
    The Mathematics of Slots: Configurations, Combinations, Probabilities.Catalin Barboianu - 2013 - Craiova, Romania: Infarom.
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  6. 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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  7. added 2019-01-23
    Problem 11589: Where Are the Zeros?Catalin Barboianu - 2011 - The American Mathematical Monthly 117 (7):653.
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  8. added 2019-01-23
    The Mathematics of Lottery: Odds, Combinations, Systems.Catalin Barboianu - 2009 - Craiova, Romania: Infarom.
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  9. added 2019-01-23
    Roulette Odds and Profits: The Mathematics of Complex Bets.Catalin Barboianu - 2008 - Craiova, Romania: Infarom.
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  10. added 2019-01-23
    Problem 11402: Squares on Graphs.Catalin Barboianu - 2008 - The American Mathematical Monthly 115 (10):949.
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  11. 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.
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  12. 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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  13. 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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  14. 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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  15. 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: pp. 104-121.
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  16. 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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  17. 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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  18. 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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  19. 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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  20. 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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  21. 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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  22. 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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  23. added 2018-05-29
    Introduction. Modeling and Measuring Cycles, Processes, and Trends.Leonid Grinin & Andrey Korotayev - 2014 - In History & Mathematics: Trends and Cycles. Volgograd, Russia: Uchitel Publishing House. pp. 5-8.
    The present Yearbook (which is the fourth in the series) is subtitled Trends & Cycles. Already ancient historians (see, e.g., the second Chapter of Book VI of Polybius' Histories) described rather well the cyclical component of historical dynamics, whereas new interesting analyses of such dynamics also appeared in the Medieval and Early Modern periods (see, e.g., Ibn Khaldūn 1958 [1377], or Machiavelli 1996 [1531] 1). This is not surprising as the cyclical dynamics was dominant in the agrarian social systems. With (...)
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  24. 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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  25. added 2018-03-30
    Fine-Structure Constant From Golden Ratio Geometry.Michael A. Sherbon - 2018 - International Journal of Mathematics and Physical Sciences Research 5 (2):89-100.
    After a brief review of the golden ratio in history and our previous exposition of the fine-structure constant and equations with the exponential function, the fine-structure constant is studied in the context of other research calculating the fine-structure constant from the golden ratio geometry of the hydrogen atom. This research is extended and the fine-structure constant is then calculated in powers of the golden ratio to an accuracy consistent with the most recent publications. The mathematical constants associated with the golden (...)
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  26. added 2018-03-30
    Fundamental Physics and the Fine-Structure Constant.Michael A. Sherbon - 2017 - International Journal of Physical Research 5 (2):46-48.
    From the exponential function of Euler’s equation to the geometry of a fundamental form, a calculation of the fine-structure constant and its relationship to the proton-electron mass ratio is given. Equations are found for the fundamental constants of the four forces of nature: electromagnetism, the weak force, the strong force and the force of gravitation. Symmetry principles are then associated with traditional physical measures.
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  27. added 2018-03-26
    From Brackets to Arrows: Sets, Categories and the Deleuzian Pedagogy of Mathematics.Rocco Gangle - 2013 - In Inna Semetsky & Diana Masny (eds.), Deleuze and Education. Edinburgh, UK: Edinburgh University Press. pp. 155-173.
  28. added 2018-02-22
    The Arithmetization of Syntax and the New Paradoxes of Self-Reference.T. Parent - manuscript
    In this paper, I recreate a paradox from my earlier work (“Paradox with just self-reference”) albeit entirely within the language of arithmetic. (In lieu of self-referential expressions, Gödel numbering is used to generate the paradox.) This can suggest that Robinson arithmetic and its extensions are unsound; however, I claim instead that the metalanguage may be to blame, owing to arithmetization of syntax. If so, then the moral would be to restrict arithmetization in the metalanguage somehow, rather than distrust the arithmetical (...)
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  29. added 2018-02-17
    The Evolution of Utility Functions and Psychological Altruism.Christine Clavien & Michel Chapuisat - 2016 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 56:24-31.
    Numerous studies show that humans tend to be more cooperative than expected given the assumption that they are rational maximizers of personal gain. As a result, theoreticians have proposed elaborated formal representations of human decision-making, in which utility functions including “altruistic” or “moral” preferences replace the purely self-oriented "Homo economicus" function. Here we review mathematical approaches that provide insights into the mathematical stability of alternative ways of representing human decision-making in social contexts. Candidate utility functions may be evaluated with help (...)
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  30. added 2018-02-17
    Proof in Mathematics.James Franklin - 1996 - Quakers Hill Press.
    A textbook on proof in mathematics, inspired by an Aristotelian point of view on mathematics and proof. It explains how to prove statements in mathematics, from evident premises. It deals with the proof of "all" statements, "some" statements, multiple quantifiers and mathematical induction.
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  31. added 2018-01-30
    Models and Recursivity.Walter Dean - manuscript
    It is commonly held that the natural numbers sequence 0, 1, 2,... possesses a unique structure. Yet by a well known model theoretic argument, there exist non-standard models of the formal theory which is generally taken to axiomatize all of our practices and intentions pertaining to use of the term “natural number.” Despite the structural similarity of this argument to the influential set theoretic indeterminacy argument based on the downward L ̈owenheim-Skolem theorem, most theorists agree that the number theoretic version (...)
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  32. added 2018-01-27
    Classification of All Parabolic Subgroup-Schemes of a Semi-Simple Linear Algebraic Group Over an Algebraically Closed Field.Christian Wenzel - 1990 - Dissertation, University of Illinois at Urbana-Champaign, USA
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  33. added 2018-01-10
    The Category of Mereotopology and Its Ontological Consequences.Saikeerthi Rachavelpula - 2017 - University of Chicago Mathematics Research Program 2017.
    We introduce the category of mereotopology Mtop as an alternative category to that of topology Top, stating ontological consequences throughout. We consider entities such as boundaries utilizing Brentano’s thesis and holes utilizing homotopy theory with a rigorous proof of Hausdorff Spaces satisfying [GEM]TC axioms. Lastly, we mention further areas of study in this category.
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  34. added 2017-12-25
    INVESTIGAÇÕES SOBRE OS SISTEMAS AXIOMÁTICOS NA GEOMETRIA EUCLIDIANA.Douglas Alexandre Rodrigues - 2014 - Dissertation, Unesp, Brazil
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  35. added 2017-09-22
    On the Relativity of Shapes.A. J. S. Capistrano - 2010 - Apeiron: Studies in Infinite Nature 17 (2):42.
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  36. added 2017-05-01
    The Influence Of Implementation Brain-Friendly Learning Through The Whole Brain Teaching To Students’ Response and Creative Character In Learning Mathematics.Widodo Winarso & Siti Asri Karimah - 2017
    The purpose of this study was to determine whether the application of learning brain-friendly through the whole brain teaching a positive effect on the character of creative students, to study the response of the students, and to determine whether the students' response to the application of learning brain-friendly through the whole brain teaching positively correlated with the character of creative students in mathematics. The research method used is quantitative. The instruments used are student questionnaire responses related to the application of (...)
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  37. added 2017-05-01
    Mathematical Thinking Undefended on The Level of The Semester for Professional Mathematics Teacher Candidates. Toheri & Widodo Winarso - 2017 - Munich University Library.
    Mathematical thinking skills are very important in mathematics, both to learn math or as learning goals. Thinking skills can be seen from the description given answers in solving mathematical problems faced. Mathematical thinking skills can be seen from the types, levels, and process. Proportionally questions given to students at universities in Indonesia (semester I, III, V, and VII). These questions are a matter of description that belong to the higher-level thinking. Students choose 5 of 8 given problem. Qualitatively, the answers (...)
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  38. added 2017-03-29
    A Note on Bar Induction in Constructive Set Theory.Michael Rathjen - 2006 - Mathematical Logic Quarterly 52 (3):253-258.
    Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive Zermelo-Fraenkel Set Theory, CZF. It is shown that CZF augmented by decidable Bar Induction proves the 1-consistency of CZF. This answers a question of P. Aczel who used Bar Induction to give a proof of the Lusin Separation Theorem in the constructive set theory CZF.
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  39. added 2017-03-03
    Through Points on 3 and 2 Faces of a Triangular Pyramid.Goel Piyush - September,2016 - Edupediapublications 3 (13):1-3.
    This came into existence when one day (10 -12 years back), all of a sudden I draw a line and divided the line into same segment and draw one more line above the previous line and mark the points on the both lines and magically I got a triangle (while attach all the points with each other), with at point 1 no of points 1 at 2 no of points 3 and at 3 no of points 5. Now an idea (...)
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  40. added 2017-03-01
    Symmetry of Digit "2" In Squaring.Goel Piyush - July2016 - Edupediapublications 3 (11):1-3.
    Motivation -/- God is great, whatever (Air, Water, Earth, Fire & Space) we have it is just because of a Power, which governs the whole universe and more than this Power, it has created human beings, and what we have got or did not get yet, trying to get. The Method, The Principle, The Knowledge or more by which we get or prove in front of World People, basically it is called Science, who GET it, are called Scientists, Mathematicians, Inventors (...)
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  41. added 2017-01-05
    On Discrete Physics: A Perfect Deterministic Structure for Reality – and "A Direct Logical Derivation of the Fundamental Laws of Nature".Ramin [A.] Zahedi - 2015 - CERN Document, Geneva, Switzerland, Record:1980381, PP. 11-99; Paris-Sorbonne University Publs., CCSD/CNRS-Record:01547739, PP. 11-99.
    Why do the fundamental forces of nature (i.e., the forces that appear to cause all the movements and interactions in the universe) manifest in the way, shape, and form that they do? This is one of the greatest ontological questions that science can investigate. In this article, we are going to consider this crucial question (and relevant issues) via a new axiomatic mathematical formalism. -/- In Part I (pp. 1-10) of this article we provide a general overview (and analysis) of (...)
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  42. added 2016-12-15
    Review of The Art of the Infinite by R. Kaplan, E. Kaplan 324p(2003).Michael Starks - 2016 - In Suicidal Utopian Delusions in the 21st Century: Philosophy, Human Nature and the Collapse of Civilization-- Articles and Reviews 2006-2017 2nd Edition Feb 2018. Michael Starks. pp. 619.
    This book tries to present math to the millions and does a pretty good job. It is simple and sometimes witty but often the literary allusions intrude and the text bogs down in pages of relentless math--lovely if you like it and horrid if you don´t. If you already know alot of math you will still probably find the discussions of general math, geometry, projective geometry, and infinite series to be a nice refresher. If you don´t know any and don´t (...)
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  43. added 2016-11-07
    Synchronization in Ecological Systems by Weak Dispersal Coupling with Time Delay.Emily Wall - 2012 - Theoretical Ecology 6 (4).
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  44. added 2016-08-27
    A Newtonian Tale Details on Notes and Proofs in Geneva Edition of Newton's Principia.Raffaele Pisano & Paolo Bussotti - 2016 - BSHM-Journal of the British Society for the History of Mathematics:1-19.
    Based on our research regarding the relationship between physics and mathematics in HPS, and recently on Geneva Edition of Newton's Philosophiae Naturalis Principia Mathematica (1739–42) by Thomas Le Seur (1703–70) and François Jacquier (1711–88), in this paper we present some aspects of such Edition: a combination of editorial features and scientific aims. The proof of Proposition XLIII is presented and commented as a case study.
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  45. added 2016-08-13
    Formal Foundations for the Origins of Human Consciousness.Giuseppe Iurato, Andrei Khrennikov & Fionn Murtagh - 2016 - P-Adic Numbers, Ultrametric Analysis, and Applications 8 (4):249-279.
    In the framework of p-adic analysis (the simplest version of analysis on trees in which hierarchic structures are presented through ultrametric distance) applied to formalize psychic phenomena, we would like to propose some possible first hypotheses about the origins of human consciousness centered on the basic notion of time symmetry breaking as meant according to quantum field theory of infinite systems. Starting with Freud's psychophysical (hydraulic) model of unconscious and conscious flows of psychic energy based on the three-orders mental representation, (...)
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  46. added 2016-03-21
    Alternative Characterizations of Precomplete Numerations.Akira Kanda & Alistair H. Lachlan - 1987 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 33 (2):97-100.
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  47. added 2016-03-18
    Navigation Without Perception of Coordinates and Distances.Armin Hemmerling - 1994 - Mathematical Logic Quarterly 40 (2):237-260.
    We consider the target-reaching problem in plane scenes for a point robot which has a tactile sensor and can locate the target ray. It might have a compass, too, but it is not able to perceive the coordinates of its position nor to measure distances. The complexity of an algorithm is measured by the number of straight moves until reaching the target, as a function of the number of vertices of the scene. It is shown how the target point can (...)
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  48. added 2016-02-28
    The Algebra Between History and Education. [REVIEW]Raffaele Pisano - 2016 - Metascience (2):1-5.
    ‘‘What Is Algebra?-Why This Book?’’ This is the amazing prelude to Taming the Unknown by Victor J. Katz, emeritus professor of mathematics at the University of the District of Columbia and Karen Hunger Parshall, professor of history of mathematics at the University of Virginia. This is an excellent book; its accurate historical and pedagogical purpose offers an accessible read for historians and mathematicians. [continue...].
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  49. added 2016-02-13
    Review of Hintikka and Remes. The Method of Analysis (Reidel, 1974).John Corcoran - 1979 - MATHEMATICAL REVIEWS 58:3202-3.
    John Corcoran. 1979 Review of Hintikka and Remes. The Method of Analysis (Reidel, 1974). Mathematical Reviews 58 3202 #21388. -/- The “method of analysis” is a technique used by ancient Greek mathematicians (and perhaps by Descartes, Newton, and others) in connection with discovery of proofs of difficult theorems and in connection with discovery of constructions of elusive geometric figures. Although this method was originally applied in geometry, its later application to number played an important role in the early development of (...)
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  50. added 2015-11-18
    Some Basic Studies About Trigonometry.Luiz Antonio Freire - manuscript
    A guide to the first steps into the world of Geometry, Trigonometry and their lines-of-reasoning widely used through the high school and first years of college, in the exact-sciences context.
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