Results for 'mathematical constants'

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  1. 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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  2. 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 (...)
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  3. Mathematical Electron Model and the SI Unit 2017 Special Adjustment.Malcolm J. Macleod - manuscript
    Following the 26th General Conference on Weights and Measures are fixed the numerical values of the 4 physical constants ($h, c, e, k_B$). This is premised on the independence of these constants. This article discusses a model of a mathematical electron from which can be defined the Planck units as geometrical objects (mass M=1, time T=2$\pi$ ...). In this model these objects are interrelated via this electron geometry such that once we have assigned values to 2 Planck (...)
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  4. Quintessential Nature of the Fine-Structure Constant.Michael A. Sherbon - 2015 - Global Journal of Science Frontier Research: A Physics and Space Science 15 (4):23-26.
    An introduction is given to the geometry and harmonics of the Golden Apex in the Great Pyramid, with the metaphysical and mathematical determination of the fine-structure constant of electromagnetic interactions. Newton's gravitational constant is also presented in harmonic form and other fundamental physical constants are then found related to the quintessential geometry of the Golden Apex in the Great Pyramid.
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  5. On The Sense and Reference of A Logical Constant.Harold Hodes - 2004 - Philosophical Quarterly 54 (214):134-165.
    Logicism is, roughly speaking, the doctrine that mathematics is fancy logic. So getting clear about the nature of logic is a necessary step in an assessment of logicism. Logic is the study of logical concepts, how they are expressed in languages, their semantic values, and the relationships between these things and the rest of our concepts, linguistic expressions, and their semantic values. A logical concept is what can be expressed by a logical constant in a language. So the question “What (...)
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  6. 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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  7. 2. Programming Relativity as the Mathematics of Perspective in a Planck Unit Simulation Hypothesis.Malcolm Macleod - manuscript
    The Simulation Hypothesis proposes that all of reality is in fact an artificial simulation, analogous to a computer simulation. Outlined here is a method for programming relativistic mass, space and time at the Planck level as applicable for use in Planck Universe-as-a-Simulation Hypothesis. For the virtual universe the model uses a 4-axis hyper-sphere that expands in incremental steps (the simulation clock-rate). Virtual particles that oscillate between an electric wave-state and a mass point-state are mapped within this hyper-sphere, the oscillation driven (...)
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  8. Are the Barriers That Inhibit Mathematical Models of a Cyclic Universe, Which Admits Broken Symmetries, Dark Energy, and an Expanding Multiverse, Illusory?Bhupinder Singh Anand - manuscript
    We argue the thesis that if (1) a physical process is mathematically representable by a Cauchy sequence; and (2) we accept that there can be no infinite processes, i.e., nothing corresponding to infinite sequences, in natural phenomena; then (a) in the absence of an extraneous, evidence-based, proof of `closure' which determines the behaviour of the physical process in the limit as corresponding to a `Cauchy' limit; (b) the physical process must tend to a discontinuity (singularity) which has not been reflected (...)
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  9. Three Dogmas of First-Order Logic and Some Evidence-Based Consequences for Constructive Mathematics of Differentiating Between Hilbertian Theism, Brouwerian Atheism and Finitary Agnosticism.Bhupinder Singh Anand - manuscript
    We show how removing faith-based beliefs in current philosophies of classical and constructive mathematics admits formal, evidence-based, definitions of constructive mathematics; of a constructively well-defined logic of a formal mathematical language; and of a constructively well-defined model of such a language. -/- We argue that, from an evidence-based perspective, classical approaches which follow Hilbert's formal definitions of quantification can be labelled `theistic'; whilst constructive approaches based on Brouwer's philosophy of Intuitionism can be labelled `atheistic'. -/- We then adopt what (...)
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  10. Programming Planck Units From a Virtual Electron; a Simulation Hypothesis (Summary).Malcolm Macleod - 2018 - Eur. Phys. J. Plus 133:278.
    The Simulation Hypothesis proposes that all of reality, including the earth and the universe, is in fact an artificial simulation, analogous to a computer simulation, and as such our reality is an illusion. In this essay I describe a method for programming mass, length, time and charge (MLTA) as geometrical objects derived from the formula for a virtual electron; $f_e = 4\pi^2r^3$ ($r = 2^6 3 \pi^2 \alpha \Omega^5$) where the fine structure constant $\alpha$ = 137.03599... and $\Omega$ = 2.00713494... (...)
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  11. Envisioning Transformations – The Practice of Topology.Silvia De Toffoli & Valeria Giardino - 2016 - In Brendan Larvor (ed.), Mathematical Cultures: The London Meetings 2012--2014. Zurich, Switzerland: Birkhäuser. pp. 25-50.
    The objective of this article is twofold. First, a methodological issue is addressed. It is pointed out that even if philosophers of mathematics have been recently more and more concerned with the practice of mathematics, there is still a need for a sharp definition of what the targets of a philosophy of mathematical practice should be. Three possible objects of inquiry are put forward: (1) the collective dimension of the practice of mathematics; (2) the cognitives capacities requested to the (...)
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  12. The Bounds of Logic: A Generalized Viewpoint.Gila Sher - 1991 - MIT Press.
    The Bounds of Logic presents a new philosophical theory of the scope and nature of logic based on critical analysis of the principles underlying modern Tarskian logic and inspired by mathematical and linguistic development. Extracting central philosophical ideas from Tarski’s early work in semantics, Sher questions whether these are fully realized by the standard first-order system. The answer lays the foundation for a new, broader conception of logic. By generally characterizing logical terms, Sher establishes a fundamental result in semantics. (...)
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  13. STRINGS ARE BINARY DIGITS WHOSE CURRENTS IN TWO 2-D MOBIUS LOOPS PRODUCE A 4-D FIGURE-8 KLEIN BOTTLE THAT COMPOSES EACH OF THE SUBUNIVERSES IN THE ONE UNIVERSE.Rodney Bartlett - 2013 - Vixra.Org (Category - Quantum Gravity and String Theory).
    The strings of physics’ string theory are the binary digits of 1 and 0 used in computers and electronics. The digits are constantly switching between their representations of the “on” and “off” states. This switching is usually referred to as a flow or current. Currents in the two 2-dimensional programs called Mobius loops are connected into a four-dimensional figure-8 Klein bottle by the infinitely-long irrational and transcendental numbers. Such an infinite connection translates - via bosons being ultimately composed of 1’s (...)
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  14. Programming Relativity and Gravity Via a Discrete Pixel Space in Planck Level Simulation Hypothesis Models.Malcolm J. Macleod - manuscript
    Outlined here is a simulation hypothesis approach that uses an expanding (the simulation clock-rate measured in units of Planck time) 4-axis hyper-sphere and mathematical particles that oscillate between an electric wave-state and a mass (unit of Planck mass per unit of Planck time) point-state. Particles are assigned a spin axis which determines the direction in which they are pulled by this (hyper-sphere pilot wave) expansion, thus all particles travel at, and only at, the velocity of expansion (the origin of (...)
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  15.  26
    The Fallacies of Scientific Paradigms.Tathagata Dey & Shreyans Chatterjee - manuscript
    The world of physical sciences and mathematics have been dealing with universal phenomena for a long time. Over centuries, many theories and hypotheses have been formed to explain each of the observed and explainable natural events. All though the truth beyond this is still uncertain. With, upcoming experimental and observed results, the theories get changed over time for multiple turns. Also, the complexity of these theories is another significant aspect. All the theories vary from each other in structure, work of (...)
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  16. Utopian Social Delusions in the 21st Century.Starks Michael - 2017 - Henderson,NV, USA: Michael Starks.
    This collection of articles was written over the last 10 years and edited them to bring them up to date (2017). All the articles are about human behavior (as are all articles by anyone about anything), and so about the limitations of having a recent monkey ancestry (8 million years or much less depending on viewpoint) and manifest words and deeds within the framework of our innate psychology as presented in the table of intentionality. As famous evolutionist Richard Leakey says, (...)
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  17. How Dualists Should (Not) Respond to the Objection From Energy Conservation.Alin C. Cucu & J. Brian Pitts - 2019 - Mind and Matter 17 (1):95-121.
    The principle of energy conservation is widely taken to be a se- rious difficulty for interactionist dualism (whether property or sub- stance). Interactionists often have therefore tried to make it satisfy energy conservation. This paper examines several such attempts, especially including E. J. Lowe’s varying constants proposal, show- ing how they all miss their goal due to lack of engagement with the physico-mathematical roots of energy conservation physics: the first Noether theorem (that symmetries imply conservation laws), its converse (...)
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  18. Introduction.Barry Smith & David Woodruff Smith - 1995 - In Barry Smith & David Woodruff Smith (eds.), The Cambridge Companion to Husserl.
    Husserl’s philosophy, by the usual account, evolved through three stages: 1. development of an anti-psychologistic, objective foundation of logic and mathematics, rooted in Brentanian descriptive psychology; 2. development of a new discipline of "phenomenology" founded on a metaphysical position dubbed "transcendental idealism"; transformation of phenomenology from a form of methodological solipsism into a phenomenology of intersubjectivity and ultimately (in his Crisis of 1936) into an ontology of the life-world, embracing the social worlds of culture and history. We show that this (...)
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  19. Invariance and Logicality in Perspective.Gila Sher - 2021 - In Gil Sagi & Jack Woods (eds.), The Semantic Conception of Logic: Essays on Consequence, Invariance, and Meaning. Cambridge, Britain: Cambridge University Press. pp. 13-34.
    Although the invariance criterion of logicality first emerged as a criterion of a purely mathematical interest, it has developed into a criterion of considerable linguistic and philosophical interest. In this paper I compare two different perspectives on this criterion. The first is the perspective of natural language. Here, the invariance criterion is measured by its success in capturing our linguistic intuitions about logicality and explaining our logical behavior in natural-linguistic settings. The second perspective is more theoretical. Here, the invariance (...)
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  20. A Simpler and More Realistic Subjective Decision Theory.Haim Gaifman & Yang Liu - 2018 - Synthese 195 (10):4205--4241.
    In his classic book “the Foundations of Statistics” Savage developed a formal system of rational decision making. The system is based on (i) a set of possible states of the world, (ii) a set of consequences, (iii) a set of acts, which are functions from states to consequences, and (iv) a preference relation over the acts, which represents the preferences of an idealized rational agent. The goal and the culmination of the enterprise is a representation theorem: Any preference relation that (...)
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  21.  70
    Quanta Transfer in Quantized Space.Sydney Ernest Grimm - manuscript
    Physical phenomena emerge from the quantum fields everywhere in space. However, not only the phenomena emerge from the quantum fields, the law of the conservation of energy must have its origin from the same spatial structure. This paper describes the relations between the main law of physics, the universal constants and the mathematical structure of the “aggregated” quantum fields.
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  22.  96
    On the Concept of (Quantum) Fields.Sydney Ernest Grimm - manuscript
    The main concept of quantum field theory is the conviction that all the phenomena in the universe are created by the underlying structure of the quantum fields. Fields represent dynamical spatial properties that can be described with the help of geometrical concepts. Therefore it is possible to describe the mathematical origin of the structure of the creating fields and show the mathematical origin of the law of conservation of energy, Planck’s constant and the constant speed of light within (...)
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  23. Yijing and Energy Fields.David Leong - manuscript
    The sequential patterns of the sixty-four hexagrams in the Yijing, variously known as I Ching (the Book of Changes) are structured to embrace the universe of possibilities, scenarios and probabilities. Each hexagram equates to each moment in space-time. With the arrow of time, a string of hexagrams represent a string of moments. A probability curve can be formed from the string of hexagrams. Physicists call this mathematical entity a wave function which is constantly changing and proliferating. A wave function (...)
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  24. Logic, Form and Matter.Barry Smith & David Murray - 1981 - Aristotelian Society Supplementary Volume 55 (1):47 - 74.
    It is argued, on the basis of ideas derived from Wittgenstein's Tractatus and Husserl's Logical Investigations, that the formal comprehends more than the logical. More specifically: that there exist certain formal-ontological constants (part, whole, overlapping, etc.) which do not fall within the province of logic. A two-dimensional directly depicting language is developed for the representation of the constants of formal ontology, and means are provided for the extension of this language to enable the representation of certain materially necessary (...)
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  25. Gravity as Entanglement. Entanglement as Gravity.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 12 (30):1-23.
    A generalized and unifying viewpoint to both general relativity and quantum mechanics and information is investigated. It may be described as a generaliztion of the concept of reference frame from mechanics to thermodynamics, or from a reference frame linked to an element of a system, and thus, within it, to another reference frame linked to the whole of the system or to any of other similar systems, and thus, out of it. Furthermore, the former is the viewpoint of general relativity, (...)
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  26. Eternity a History.Yitzhak Y. Melamed (ed.) - 2016 - Oxford University Press USA.
    Eternity is a unique kind of existence that is supposed to belong to the most real being or beings. It is an existence that is not shaken by the common wear and tear of time. Over the two and half millennia history of Western philosophy we find various conceptions of eternity, yet one sharp distinction between two notions of eternity seems to run throughout this long history: eternity as timeless existence, as opposed to eternity as existence in all times. Both (...)
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  27. Invariance and Necessity.Gila Sher - 2019 - In Bernhard Ritter, Paul Weingartner & Gabriele M. Mras (eds.), Philosophy of logic and Mathematics. Berlin, Boston: De Gruyter. pp. 55-70.
    Properties and relations in general have a certain degree of invariance, and some types of properties/relations have a stronger degree of invariance than others. In this paper I will show how the degrees of invariance of different types of properties are associated with, and explain, the modal force of the laws governing them. This explains differences in the modal force of laws/principles of different disciplines, starting with logic and mathematics and proceeding to physics and biology.
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  28. On the Explanatory Power of Truth in Logic.Gila Sher - 2018 - Philosophical Issues 28 (1):348-373.
    Philosophers are divided on whether the proof- or truth-theoretic approach to logic is more fruitful. The paper demonstrates the considerable explanatory power of a truth-based approach to logic by showing that and how it can provide (i) an explanatory characterization —both semantic and proof-theoretical—of logical inference, (ii) an explanatory criterion for logical constants and operators, (iii) an explanatory account of logic’s role (function) in knowledge, as well as explanations of (iv) the characteristic features of logic —formality, strong modal force, (...)
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  29. Application of Response Surface Methodology on Beneficiation of Sudanese Chromite Ore Via Pilot Plant Shaking Table Separator.Mahmoud Motasim - 2020 - International Journal of Academic Multidisciplinary Research (IJAMR) 4 (5):63-73.
    High grade chromite ore has been decreased constantly due to the importance of chromium element in industrial uses such as metallurgical, chemical, and refractory industries. Therefore, beneficiation of low grade has been more significant .Response Surface Methodology (RSM) is combination of statistical and mathematical methods used for modeling and analyzing problems. In this study, the Central Composite Design (CCD) was applied by using Design-Expert (version 6.0.5) for modeling and optimizing the effect of operating variables on the performance of gravity (...)
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  30.  30
    The "Renormalization" of Discrete Space.Sydney Ernest Grimm - manuscript
    The concept of discrete space can be termed as “the ex­ternal mathematical reality hypothesis”. The concept was already known among the ancient Greek philosophers (≈ 500 BC). Unfortunately the phenomenological point of view has dominated science during more than 2000 years and it is only recently that the concept of discrete space gets “tangible” attention again in philosophy and theoretical physics. Although the model de­scribes the existence of the universal conservation laws, constants and principles in a convincing way, (...)
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  31. Crisis of Fundamentality → Physics, Forward → Into Metaphysics → The Ontological Basis of Knowledge: Framework, Carcass, Foundation.Vladimir Rogozhin - 2018 - FQXi.
    The present crisis of foundations in Fundamental Science is manifested as a comprehensive conceptual crisis, crisis of understanding, crisis of interpretation and representation, crisis of methodology, loss of certainty. Fundamental Science "rested" on the understanding of matter, space, nature of the "laws of nature", fundamental constants, number, time, information, consciousness. The question "What is fundametal?" pushes the mind to other questions → Is Fundamental Science fundamental? → What is the most fundamental in the Universum?.. Physics, do not be afraid (...)
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  32. Scrutiny of Droste’s Original Solution (1917).Mohamed Elmansour Hassani - manuscript
    In 1916, Johannes Droste independently found an exact (vacuum) solution to the Einstein's (gravitational) field equations in empty space. Droste's solution is quasi-comparable to Schwarzschild's one . Droste published his paper entitled “The field of a single centre in Einstein's theory of gravitation, and the motion of a particle in that fieldˮ. The paper communicated (in the meeting of May 27, 1916) by Prof. H.A. Lorentz, and published in ʻProceedings of the Royal Netherlands Academy of Arts and Science. 19 (1): (...)
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  33. Gravity is a Force.Alfonso Leon Guillen Gomez - manuscript
    The General Relativity understands gravity like inertial movement of the free fall of the bodies in curved spacetime of Lorentz. The law of inertia of Newton would be particular case of the inertial movement of the bodies in the spacetime flat of Euclid. But, in the step, of the particular to the general, breaks the law of inertia of Galilei since recovers the rectilinear uniform movement but not the repose state, unless the bodies have undergone their union, although, the curved (...)
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  34. Wolpert, Chaitin y Wittgenstein sobre la imposibilidad, la incompletitud, la paradoja mentirosa, el teísmo, los límites de la computación, un principio de incertidumbre mecánica no cuántica y el universo como computadora, el teorema definitivo en la teoría de la máquina de Turing (revisado en 2019).Michael Richard Starks - 2019 - In Observaciones Sobre Imposibilidad, Incompleta, Paracoherencia,Indecisión,Aleatoriedad, Computabilidad, Paradoja E Incertidumbre En Chaitin, Wittgenstein, Hofstadter, Wolpert, Doria, Dacosta, Godel, Searle, Rodych, Berto,Floyd, Moyal-Sharrock Y Yanofsky. Las Vegas, NV USA: Reality Press. pp. 64-70.
    It is commonly thought that Impossibility, Incompleteness, Paraconsistency, Undecidability, Randomness, Computability, Paradox, Uncertainty and the Limits of Reason are disparate scientific physical or mathematical issues having little or nothing in common. I suggest that they are largely standard philosophical problems (i.e., language games) which were mostly resolved by Wittgenstein over 80years ago. -/- “What we are ‘tempted to say’ in such a case is, of course, not philosophy, but it is its raw material. Thus, for example, what a mathematician (...)
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  35.  97
    Review of Wittgenstein's Metaphilosophy by Paul Horwich 248p (2013) (Review Revised 2019).Michael Starks - 2019 - In The Logical Structure of Human Behavior. Las Vegas, NV USA: Reality Press. pp. 142-165.
    Horwich gives a fine analysis of Wittgenstein (W) and is a leading W scholar, but in my view, they all fall short of a full appreciation, as I explain at length in this review and many others. If one does not understand W (and preferably Searle also) then I don't see how one could have more than a superficial understanding of philosophy and of higher order thought and thus of all complex behavior (psychology, sociology, anthropology, history, literature, society). In a (...)
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  36. Review of Wittgensteins Metaphilosophy by Paul Horwich (2013).Michael Starks - 2017 - Philosophy, Human Nature and the Collapse of Civilization Michael Starks 3rd Ed. (2017).
    Horwich gives a fine analysis of Wittgenstein (W) and is a leading W scholar, but in my view they all fall short of a full appreciation, as I explain at length in this review and many others. If one does not understand W (and preferably Searle also) then I don't see how one could have more than a superficial understanding of philosophy and of higher order thought and thus of all complex behavior(psychology, sociology, anthropology, history, literature, society). In a nutshell, (...)
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  37. Crítica à Metafísica.Emanuel Isaque Cordeiro da Silva & Alana Thaís da Silva -
    -/- FILOSOFIA: CRÍTICA À METAFÍSICA -/- PHILOSOPHY: CRITICISM TO METAPHYSICS -/- Por: Emanuel Isaque Cordeiro da Silva - UFRPE Alana Thaís Mayza da Silva - CAP-UFPE RESUMO: A Metafísica (do grego: Μεταφυσική) é uma área inerente à Filosofia, dito isto, é uma esfera que compreende o mundo e os seres humanos sob uma fundamentação suprassensível da realidade, bem como goza de fundamentação ontológica e teológica para explicação dos dilemas do nosso mundo. Logo, não goza da experiência e explicação científica com (...)
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  38. A New Foundation for Physics.Jim Bourassa & David Thomson - 2006 - Infinite Energy Magazine (69):34.
    Modern physics describes the mechanics of the Universe. We have discovered a new foundation for physics, which explains the components of the Universe with precision and depth. We quantify the existence of Aether, subatomic particles, and the force laws. Some aspects of the theory derive from the Standard Model, but much is unique. A key discovery from this new foundation is a mathematically correct Unified Force Theory. Other fundamental discoveries follow, including the origin of the fine structure constant and subatomic (...)
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  39. The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle: Articles and Reviews 2006-2016.Michael Starks - 2016 - Michael Starks.
    This collection of articles was written over the last 10 years and the most important and longest within the last year. Also I have edited them to bring them up to date (2016). The copyright page has the date of this first edition and new editions will be noted there as I edit old articles or add new ones. All the articles are about human behavior (as are all articles by anyone about anything), and so about the limitations of having (...)
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  40. Talking Monkeys: Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet - Articles and Reviews 2006-2017.Michael Starks - 2017 - Las Vegas, NV USA: Reality Press.
    This collection of articles was written over the last 10 years and edited to bring them up to date (2017). The copyright page has the date of the edition and new editions will be noted there as I edit old articles or add new ones. All the articles are about human behavior (as are all articles by anyone about anything), and so about the limitations of having a recent monkey ancestry (8 million years or much less depending on viewpoint) and (...)
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  41. 3. Planck Unit Quantum Gravity (Gravitons) for Simulation Hypothesis Modeling.Malcolm J. Macleod - manuscript
    Defined are gravitational formulas in terms of Planck units and units of $\hbar c$. Mass is not assigned as a constant property but is instead treated as a discrete event defined by units of Planck mass with gravity as an interaction between these units, the gravitational orbit as the sum of these mass-mass interactions and the gravitational coupling constant as a measure of the frequency of these interactions and not the magnitude of the gravitational force itself. Each particle that is (...)
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  42.  38
    From Logical to Existing Issue 20210210.Jean-Louis Boucon - 2021 - Academia.
    For the OK, there is in fact no opposition between the logical and the material or the spiritual: reality is a formless logical substance. Representation is morphogenesis and the terms 'material' and 'spiritual' only denote categories of morphogenesis. Our constant experience shows us that spiritual and material interact. The border between understanding and becoming, between meaning and act, which seems trivial to us, is elusive when we try to approach it. For example: when the subject follows the object of his (...)
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  43. Anthropology and Parallelism:The Individual as a Universal.Marvin Eli Kirsh - 2009 - International Journal of Sociology and Anthropology 1 (7):112-115.
    It is difficult to define perspective within sets that are self belonging. For example in the study of mankind, anthropology, both men and their studies fall into the same category that contains the topic outline. This situation entails a universal quality of uniqueness, an instance of it, to the topic of anthropology that may be viewed in parallel with the topic of nature as the set of unique particulars. Yet one might assent to the notion in the inclusive study of (...)
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  44.  41
    Mathematical Needs of Laura Vicuña Learners.Jupeth Pentang, Ronalyn M. Bautista, Aylene D. Pizaña & Susana P. Egger - 2020 - WPU Graduate Journal 5 (1):78-81.
    An inquiry on the training needs in Mathematics was conducted to Laura Vicuña Center - Palawan (LVC-P) learners. Specifically, this aimed to determine their level of performance in numbers, measurement, geometry, algebra, and statistics, identify the difficulties they encountered in solving word problems and enumerate topics where they needed coaching. -/- To identify specific training needs, the study employed a descriptive research design where 36 participants were sampled purposively. The data were gathered through a problem set test and focus group (...)
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  45.  43
    Innate Mathematical Characteristics and Number Sense Competencies of Junior High School Students.Raymundo A. Santos, Leila M. Collantes, Edwin D. Ibañez, Florante P. Ibarra & Jupeth Pentang - 2022 - International Journal of Learning, Teaching and Educational Research 21 (10):325-340.
    The study determined the influence of innate mathematical characteristics on the number sense competencies of junior high school students in a Philippine public school. The descriptive-correlational research design was used to accomplish the study involving a nonrandom sample of sixty 7th-grade students attending synchronous math sessions. Data obtained from the math-specific Learning Style and Self-Efficacy questionnaires and the modified Number Sense Test (NST) were analyzed and interpreted using descriptive statistics, Pearson’s Chi-Square, and Simple Linear Regression analysis. The research instruments (...)
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  46. Mathematics and Argumentation.Andrew Aberdein - 2009 - Foundations of Science 14 (1-2):1-8.
    Some authors have begun to appeal directly to studies of argumentation in their analyses of mathematical practice. These include researchers from an impressively diverse range of disciplines: not only philosophy of mathematics and argumentation theory, but also psychology, education, and computer science. This introduction provides some background to their work.
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  47. Mathematical Wit and Mathematical Cognition.Andrew Aberdein - 2013 - Topics in Cognitive Science 5 (2):231-250.
    The published works of scientists often conceal the cognitive processes that led to their results. Scholars of mathematical practice must therefore seek out less obvious sources. This article analyzes a widely circulated mathematical joke, comprising a list of spurious proof types. An account is proposed in terms of argumentation schemes: stereotypical patterns of reasoning, which may be accompanied by critical questions itemizing possible lines of defeat. It is argued that humor is associated with risky forms of inference, which (...)
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  48. Utilitarianism with and Without Expected Utility.David McCarthy, Kalle Mikkola & Joaquin Teruji Thomas - 2020 - Journal of Mathematical Economics 87:77-113.
    We give two social aggregation theorems under conditions of risk, one for constant population cases, the other an extension to variable populations. Intra and interpersonal welfare comparisons are encoded in a single ‘individual preorder’. The theorems give axioms that uniquely determine a social preorder in terms of this individual preorder. The social preorders described by these theorems have features that may be considered characteristic of Harsanyi-style utilitarianism, such as indifference to ex ante and ex post equality. However, the theorems are (...)
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  49. A Conjecture Concerning Determinism, Reduction, and Measurement in Quantum Mechanics.Arthur Jabs - 2016 - Quantum Studies: Mathematics and Foundations 3 (4):279-292.
    Determinism is established in quantum mechanics by tracing the probabilities in the Born rules back to the absolute (overall) phase constants of the wave functions and recognizing these phase constants as pseudorandom numbers. The reduction process (collapse) is independent of measurement. It occurs when two wavepackets overlap in ordinary space and satisfy a certain criterion, which depends on the phase constants of both wavepackets. Reduction means contraction of the wavepackets to the place of overlap. The measurement apparatus (...)
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  50. Mathematics Intelligent Tutoring System.Nour N. AbuEloun & Samy S. Abu Naser - 2017 - International Journal of Advanced Scientific Research 2 (1):11-16.
    In these days, there is an increasing technological development in intelligent tutoring systems. This field has become interesting to many researchers. In this paper, we present an intelligent tutoring system for teaching mathematics that help students understand the basics of math and that helps a lot of students of all ages to understand the topic because it's important for students of adding and subtracting. Through which the student will be able to study the course and solve related problems. An evaluation (...)
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