Results for 'Unsolved math problems'

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  1. On the Uncertainty Principle.Mesut Kavak - 2016 - American Journal of Physics 4 (4):90-123.
    Analysis of the laws which form, direct universe and of the interacting elements in the interactions emerging by these laws. Forming the theoretical, philosophical infrastructure of the some physical concepts and phenomena such as kinetic energy, uncertainty, length contraction, relative energy transformations, gravity, time and light speed to understand universe better manner as well as possible. Almost any physical subject takes us easily to the same point by visiting the other subjects because of the creation type of matter as there (...)
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  2. Unsolvable problems, visual imagery, and explanatory satisfaction.Marc F. Krellenstein - 1995 - Journal of Mind and Behavior 16 (3):235-54.
    It has been suggested that certain problems may be unsolvable because of the mind's cognitive structure, but we may wonder what problems, and exactly why. The ultimate origin of the universe and the mind-body problem seem to be two such problems. As to why, Colin McGinn has argued that the mind-body problem is unsolvable because any theoretical concepts about the brain will be observation-based and unable to connect to unobservable subjective experience. McGinn's argument suggests a requirement of (...)
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  3. The unsolvability of the mind-body problem liberates the will.Scheffel Jan - manuscript
    The mind-body problem is analyzed in a physicalist perspective. By combining the concepts of emergence and algorithmic information theory in a thought experiment employing a basic nonlinear process, it is argued that epistemically strongly emergent properties may develop in a physical system. A comparison with the significantly more complex neural network of the brain shows that also consciousness is epistemically emergent in a strong sense. Thus reductionist understanding of consciousness appears not possible; the mind-body problem does not have a reductionist (...)
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  4. Problem-Solving Performance and Subject Preference: Math Avoidance among Filipino Elementary Preservice Teachers.Jupeth Pentang, Ronalyn Bautista, Jairus Pentang, Edwin Ibañez & Mary Jane Gamozo - 2023 - Journal of Research, Policy and Practice of Teachers and Teacher Education 13 (1):89-102.
    Elementary preservice teachers (EPTs) substantially impact the quality of mathematics education, and their subject preference and problem-solving performance are essential indicators of their readiness to teach. The study described EPTs’ subject preference and problem-solving performance. Through a sequential explanatory research design, the quantitative inquiry involved 125 random samples, while the qualitative inquiry was participated by 30 non-random samples. Data were obtained by using an online survey and conferencing. Quantitative data were analyzed through descriptive statistics and analysis of variance, whereas qualitative (...)
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  5. On the logical unsolvability of the Gettier problem.L. Floridi - 2004 - Synthese 142 (1):61 - 79.
    The tripartite account of propositional, fallibilist knowledge that p as justified true belief can become adequate only if it can solve the Gettier Problem. However, the latter can be solved only if the problem of a successful coordination of the resources (at least truth and justification) necessary and sufficient to deliver propositional, fallibilist knowledge that p can be solved. In this paper, the coordination problem is proved to be insolvable by showing that it is equivalent to the ''''coordinated attack'''' problem, (...)
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  6. Schizo‐Math.Simon Duffy - 2004 - Angelaki 9 (3):199 – 215.
    In the paper “Math Anxiety,” Aden Evens explores the manner by means of which concepts are implicated in the problematic Idea according to the philosophy of Gilles Deleuze. The example that Evens draws from Difference and Repetition in order to demonstrate this relation is a mathematics problem, the elements of which are the differentials of the differential calculus. What I would like to offer in the present paper is an historical account of the mathematical problematic that Deleuze deploys in (...)
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  7. Buridan and the Circumstances of Justice (On the Implications of the Rational Unsolvability of Certain Co-ordination Problems).Duncan MacIntosh - 1992 - Pacific Philosophical Quarterly 73 (2):150-173.
    Gauthier and Hobbes reduce Prisoners Dilemmas to co-ordination problems (CPs). Many think rational, face-to-face agents can solve any CP by agreed fiat. But though an agent can rationally use a symmetry-breaking technique (ST) to decide between equal options, groups cannot unless their members' STs luckily converge. Failing this, the CP is escapable only by one agent's non-rational stubbornness, or by the group's "conquest" by an outside force. Implications: one's strategic rationality is group-relative; there are some optimums groups in principle (...)
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  8.  86
    MATH HAS ONLY ONE LANGUAGE.Albert Efimov - manuscript
    Sber Science Award 2023 winner in the “Digital Universe” category, full member of the Russian Academy of Sciences, Doctor of Physics and Mathematics, Head of the Chair of Computational Technology and Modeling of the Department of Computational Mathematics and Cybernetics of Moscow State University, Director of the Marchuk Institute for Computational Mathematics of the Russian Academy of Sciences Evgeny Evgenyevich Tyrtyshnikov dedicated his lecture entitled “Dimension: Is it a curse or a blessing?” to methods of presentation of multi-dimensional data based (...)
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  9. Problem-Solving Difficulties, Performance, and Differences among Preservice Teachers in Western Philippines University.Jupeth Pentang, Louina Joana Andrade, Jocelyn Golben, Jonalyn Talua, Ronalyn Bautista, Janina Sercenia, Dian Permatasari, Manuel Bucad Jr & Mark Donnel Viernes - 2024 - Palawan Scientist 16 (1):58-68.
    The ability to solve problems is a prerequisite in preparing mathematics preservice teachers. This study assessed preservice teachers’ problem-solving difficulties and performance, particularly in worded problems on number sense, measurement, geometry, algebra, and probability. Also, academic profile differences in the preservice teacher’s problem-solving performance and common errors were determined. A descriptive-comparative research design was employed with 158 random respondents. Data were gathered face-to-face during the first semester of the school year 2022-2023, and data were analyzed with the aid (...)
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  10. Problem-Solving Performance and Skills of Prospective Elementary Teachers in Northern Philippines.Jupeth Pentang, Edwin D. Ibañez, Gener Subia, Jaynelle G. Domingo, Analyn M. Gamit & Lorinda E. Pascual - 2021 - Hunan Daxue Xuebao 48 (1):122-132.
    The study determined the problem-solving performance and skills of prospective elementary teachers (PETs) in the Northern Philippines. Specifically, it defined the PETs’ level of problem-solving performance in number sense, measurement, geometry, algebra, and probability; significant predictors of their problem-solving performance in terms of sex, socio-economic status, parents’ educational attainment, high school graduated from and subject preference; and their problem-solving skills. The PETs’ problem-solving performance was determined by a problem set consisting of word problems with number sense, measurement, geometry, algebra, (...)
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  11.  56
    Reflection of the mathematical dimension of gambling in iGaming online content - A qualitative analysis: The usage of key math terms - Technical report no. 6.Catalin Barboianu - 2024 - Philscience.
    The current report presents results of the qualitative analysis of the usage of the key math terms in the content of the reviewed websites in the current sample, with emphasis on the necessary distinctions for the word and concept of ‘odds’. Patterns, motivations, conceptual and contextual aspects of the usage are discussed. The theoretical norms of adequacy of this usage in the context of gambling are briefly presented. -/- Technical report of the research project 'Reflection of the mathematical dimension (...)
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  12. Re-reading Wilczek’s remark on “Lost in Math”: The perils of postempirical science and their resolution.Victor Christianto & Florentin Smarandache - manuscript
    Sabine Hossenfelder’s recent book “Lost in Math” has attracted numerous responses, including by notable physicists such as Frank Wilczek. In this article we focus on Wilczek’s remark on that book, in particular on the perils of postempirical science. We also discuss shortly multiverse hypothesis from philosophical perspective. In last section, we offer a resolution from the perspective of Neutrosophic Logic on this problem of classical tension between mathematics and experience approach to physics, which seems to cause the stagnation of (...)
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  13. Creative Thinking and Problem-Solving: Can Preservice Teachers Think Creatively and Solve Statistics Problems?Leslie B. Bacangallo, Roshell T. Buella, Kristine Y. Rentasan, Jupeth Pentang & Ronalyn Bautista - 2022 - Studies in Technology and Education 1 (1):14-27.
    Math prospective teachers must be able to think creatively and solve problems. The study looked into preservice teachers’ creative thinking and problem-solving abilities in statistics. The investigation was guided by a correlational design in a public university in the Philippines. Stratified random sampling was used to select the 103 study participants from two teacher education programs. Through google forms, data were collected using Torrance et al. (2008)’s tests of creative thinking and researcher-made statistics problem test. The findings revealed (...)
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  14. Mindset and Levels of Conceptual Understanding in the Problem-Solving of Preservice Mathematics Teachers in an Online Learning Environment.Ma Luisa Mariano-Dolesh, Leila Collantes, Edwin Ibañez & Jupeth Pentang - 2022 - International Journal of Learning, Teaching and Educational Research 21 (6):18-33.
    Mindset plays a vital role in tackling the barriers to improving the preservice mathematics teachers’ (PMTs) conceptual understanding of problem-solving. As the COVID-19 pandemic has continued to pose a challenge, online learning has been adopted. This led this study to determining the PMTs’ mindset and level of conceptual understanding in problem-solving in an online learning environment utilising Google Classroom and the Khan Academy. A quantitative research design was employed specifically utilising a descriptive, comparative, and correlational design. Forty-five PMTs were chosen (...)
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  15. On the kinds of problems tackled by science, technology, and professions. Building foundations of science policy.Luis Marone - 2020 - Mεtascience: Scientific General Discourse 1:79-95.
    Science, technology, and professions form a system with strong interactions. Yet, these activities attack different kinds of problems which require different kinds of solutions. The problems that trigger scientific and technological research remain insufficiently solved or unsolved, therefore their possible solutions must be invented (i. e. they are partially or totally original) and, consequently, they should be tested against reality by researchers before considering them as true or useful. On the contrary, the problems that trigger professional (...)
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  16. Three philosophical problems about consciousness and their possible resolution.Nicholas Maxwell - 2011 - Open Journal of Philosophy 1 (1):1.
    Three big philosophical problems about consciousness are: Why does it exist? How do we explain and understand it? How can we explain brain-consciousness correlations? If functionalism were true, all three problems would be solved. But it is false, and that means all three problems remain unsolved (in that there is no other obvious candidate for a solution). Here, it is argued that the first problem cannot have a solution; this is inherent in the nature of explanation. (...)
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  17. Hegel and Marx on the Rabble and the Problem of Poverty in Modern Society.Yitzhak Y. Melamed - 2001 - Iyyun 50 (1):23-40.
    The problem of poverty and the emergence of a rabble (Pöbel) in modern society does not find any reasonable solution in Hegel's Philosophy of Right (henceforth PR). Some scholars have stressed how unusual this is for Hegel, claiming that it would have been uncharacteristic for him to leave a major, acknowledged problem of his system unsolved: "On no other occasion does Hegel leave a problem at that." The importance of this problem is not limited to the threat it poses (...)
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  18. Toward a theoretical account of strategy use and sense-making in mathematics problem solving.H. J. M. Tabachneck, K. R. Koedinger & M. J. Nathan - 1994 - In Ashwin Ram & Kurt Eiselt (eds.), Proceedings of the Sixteenth Annual Conference of the Cognitive Science Society: August 13 to 16, 1994, Georgia Institute of Technology. Erlbaum.
    Much problem solving and learning research in math and science has focused on formal representations. Recently researchers have documented the use of unschooled strategies for solving daily problems -- informal strategies which can be as effective, and sometimes as sophisticated, as school-taught formalisms. Our research focuses on how formal and informal strategies interact in the process of doing and learning mathematics. We found that combining informal and formal strategies is more effective than single strategies. We provide a theoretical (...)
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  19. 150+1 Probleme (și soluțiile lor) / 150+1 Problems (and their solutions).Carina Maria Viespescu, Lucian Tuțescu & Florentin Smarandache - 2023 - Miami: Global Knowledge.
    This book is written for middle and high school students, for teachers and for those with a passion for math, containing 150+1 problems (which are followed by solutions) to make it more accessible to the reader. The last problem (150+1), a very interesting one, leaves some space for comments and generalizations. The book is a collaboration between a multi-awarded student at Romania’s National Mathematics Olympiad (Carina Maria Viespescu, student in year 10 at Liceul International of Informatics Bucuresti), a (...)
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  20. Infinity and the Problem of Evil.John Leslie - 2019 - European Journal for Philosophy of Religion 11 (2):111-117.
    God seemingly had a duty to create minds each of infinite worth through possessing God-like knowledge. People might object that God’s own infinite worth was all that was needed, or that no mind that God created could have truly infinite worth; however, such objections fail. Yet this does not generate an unsolvable Problem of Evil. We could exist inside an infinite mind that was one among endlessly many, perhaps all created by Platonic Necessity. “God” might be our name for this (...)
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  21. Predictors of Students’ Competence in Applying Mathematics in Real World Problems.Melanie Gurat & Rommel de Gracia - 2016 - Journal of Studies in Social Sciences 15 (2):49-62.
    Today’s societies place challenging demands on individuals, who are confronted with complexity in many aspects of their lives. Individuals need to acquire a wide range of competencies in order to overcome the complex challenges of today’s world. Using real-world problems is important not only to hone students’ mathematical thinking and competency but also to prepare them in making well-grounded decisions that involve logical and mathematical reasoning. Thus, this study explored the competence of the students in applying mathematics in real (...)
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  22. Mathematical models of games of chance: Epistemological taxonomy and potential in problem-gambling research.Catalin Barboianu - 2015 - UNLV Gaming Research and Review Journal 19 (1):17-30.
    Games of chance are developed in their physical consumer-ready form on the basis of mathematical models, which stand as the premises of their existence and represent their physical processes. There is a prevalence of statistical and probabilistic models in the interest of all parties involved in the study of gambling – researchers, game producers and operators, and players – while functional models are of interest more to math-inclined players than problem-gambling researchers. In this paper I present a structural analysis (...)
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  23. From the end of Unitary Science Projection to the Causally Complete Complexity Science: Extended Mathematics, Solved Problems, New Organisation and Superior Purposes.Andrei P. Kirilyuk - 2017 - In Theory of Everything, Ultimate Reality and the End of Humanity: Extended Sustainability by the Universal Science of Complexity. Beau Bassin: LAP LAMBERT Academic Publishing. pp. 199-209.
    The deep crisis in modern fundamental science development is ever more evident and openly recognised now even by mainstream, official science professionals and leaders. By no coincidence, it occurs in parallel to the world civilisation crisis and related global change processes, where the true power of unreduced scientific knowledge is just badly missing as the indispensable and unique tool for the emerging greater problem solution and further progress at a superior level of complex world dynamics. Here we reveal the mathematically (...)
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  24. Global Philosophy: What Philosophy Ought to Be.Nicholas Maxwell - 2014 - Exeter, UK: Imprint Academic.
    These essays are about education, learning, rational inquiry, philosophy, science studies, problem solving, academic inquiry, global problems, wisdom and, above all, the urgent need for an academic revolution. Despite this range and diversity of topics, there is a common underlying theme. Education ought to be devoted, much more than it is, to the exploration real-life, open problems; it ought not to be restricted to learning up solutions to already solved problems - especially if nothing is said about (...)
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  25. The Gödelian Argument: Turn over the Page.John R. Lucas - 2003 - Etica E Politica 5 (1):1.
    In this paper Lucas suggests that many of his critics have not read carefully neither his exposition nor Penrose’s one, so they seek to refute arguments they never proposed. Therefore he offers a brief history of the Gödelian argument put forward by Gödel, Penrose and Lucas itself: Gödel argued indeed that either mathematics is incompletable – that is axioms can never be comprised in a finite rule and so human mind surpasses the power of any finite machine – or there (...)
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  26. Theophrast: Metaphysik.Gregor Damschen, Dominic Kaegi & Enno Rudolph - 2012 - Hamburg: Meiner.
    Theophrastus' treatise "Metaphysics" contains a compact and critical reconstruction of unsolved systematic problems of classical Greek philosophy. It is primarily about fundamental problems of ontology and natural philosophy, such as the question of the interdependence of principles and perceptible phenomena or the plausibility of teleology as a methodical principle of the explanation of nature. The aim of the critical Greek-German edition (with introduction and commentary) is to make visible the systematic significance of Theophrastus' critique of metaphysics.
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  27. Introduction: Habitual Action, Automaticity, and Control.Juan Pablo Bermúdez & Flavia Felletti - 2021 - Topoi 40 (3):587-595.
    Habitual action would still be a tremendously pervasive feature of our agency. And yet, references to habitual action have been marginal at best in contemporary philosophy of action. This neglect is due, at least, to the combination of two ideas. The first is a widespread view of habit as entirely automatic, inflexible, and irresponsive to reasons. The second is philosophy of action’s tendency (dominant at least since Anscombe and Davidson) to focus on explaining action by reference to reasons. Arguably, if (...)
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  28. Why Philosophy Makes No Progress.Eric Dietrich - 2023 - Global Philosophy 33 (2):1-14.
    This paper offers an explanation for why some parts of philosophy have made no progress. Philosophy has made no progress because it cannot make progress. And it cannot because of the nature of the phenomena philosophy is tasked with explaining—all of it involves consciousness. Here, it will not be argued directly that consciousness is intractable. Rather, it will be shown that a specific version of the problem of consciousness is unsolvable. This version is the Problem of the Subjective and Objective. (...)
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  29. Institutional consequentialism and global governance.Attila Tanyi & András Miklós - 2017 - Journal of Global Ethics 13 (3):279-297.
    Elsewhere we have responded to the so-called demandingness objection to consequentialism – that consequentialism is excessively demanding and is therefore unacceptable as a moral theory – by introducing the theoretical position we call institutional consequentialism. This is a consequentialist view that, however, requires institutional systems, and not individuals, to follow the consequentialist principle. In this paper, we first introduce and explain the theory of institutional consequentialism and the main reasons that support it. In the remainder of the paper, we turn (...)
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  30. Physics and the Philosophy of Science – Diagnosis and analysis of a misunderstanding, as well as conclusions concerning biology and epistemology.Rudolf Lindpointner - manuscript
    For two reasons, physics occupies a preeminent position among the sciences. On the one hand, due to its recognized position as a fundamental science, and on the other hand, due to the characteristic of its obvious certainty of knowledge. For both reasons it is regarded as the paradigm of scientificity par excellence. With its focus on the issue of epistemic certainty, philosophy of science follows in the footsteps of classical epistemology, and this is also the basis of its 'judicial' pretension (...)
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  31. Towards Pedagogy supporting Ethics in Analysis.Marie Oldfield - 2022 - Journal of Humanistic Mathematics 12 (2).
    Over the past few years we have seen an increasing number of legal proceedings related to inappropriately implemented technology. At the same time career paths have diverged from the foundation of statistics out to Data Scientist, Machine Learning and AI. All of these new branches being fundamentally branches of statistics and mathematics. This has meant that formal training has struggled to keep up with what is required in the plethora of new roles. Mathematics as a taught subject is still based (...)
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  32. Paradox of religion.Miro Brada - manuscript
    Alternate Universes: Religion assumes the other world after death: paradise, hell, nirvana, karma.. Our world is incomplete, because there is truer universe, replicating Plato: behind something is something.. till the true idea - last judgment, karma.. R. Descartes's "I think, therefore I am", is independent of Plato. I'm thinking, regardless of there is truer idea or not. As I'm thinking, I can realize my first idea was false (eg. solving a math problem), and then the Plato's truer idea reappears. (...)
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  33. Friedrich Engels and Dialectics of Nature.Kaan Kangal - 2020 - London, UK: Palgrave Macmillan.
    Reading different or controversial intentions into Marx and Engels’ works has been a common but somewhat unquestioned practice in the history of Marxist scholarship. Engels’ Dialectics of Nature, a torso for some and a great book for others, is a case in point. The entire Engels debate separates into two opposite views: Engels the contaminator of Marx’s “new materialism” vs. Engels the self-educated genius of dialectical materialism. What Engels, unlike Marx, has not enjoyed so far is a critical reading that (...)
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  34.  65
    The Fundamental Biological Activity of the Universe.Attila Grandpierre - 2018 - Analecta Husserliana 121:115-140.
    If everything is in permanent change, can the Universe itself be fundamentally passive? Answering this question requires a clear concept of ‘activity.’ The nature of ‘action’ is a central and unsolved philosophical problem. Actions play a crucial role in the way we conceive of ourselves, life and the Universe, and the value we put on these. In four decades of research on solar activity, we found that activity is not a mere occurrence but a genuine activity of the Sun, (...)
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  35. Interpersonal comparisons of well-being, the evaluative attitudes, and type correspondence between mind and brain.JP Sevilla - manuscript
    Interpersonal comparisons of well-being (ICWs) confront the longstanding unsolved epistemic problem of other minds (EPOM): the problem of how to achieve objective knowledge of people's subjective mental states. The intractability of the EPOM may lead to the hope that Rational Choice Theory (RCT) can show that information about how people would choose over goods and gambles is sufficient--and information about subjective mental states therefore unnecessary--for interpersonal comparisons of levels and changes in well-being, thereby bypassing the EPOM. I argue that (...)
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  36. Mathematical undecidability, quantum nonlocality, and the question of the existence of God.Alfred Driessen & Antoine Suarez (eds.) - 1997 - Springer.
    The title of the present book suggests that scientific results obtained in mathematics and quantum physics can be in some way related to the question of the existence of God. This seems possible to us, because it is our conviction that reality in all its dimensions is intelligible. The really impressive progress in science and technology demonstrates that we can trust our intellect, and that nature is not offering us a collection of meaningless absurdities. We first of all intend to (...)
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  37. Understanding Your Game: A Mathematician's Advice for Rational and Safe Gambling.Catalin Barboianu - 2022 - Târgu Jiu, Romania: PhilScience Press.
    The author proposes in this practical guide for both problem and non-problem gamblers a new pragmatic, conceptual approach of gambling mathematics. The primary aim of this guide is the adequate understanding of the essence and complexity of gambling through its mathematical dimension. The author starts from the premise that formal gambling mathematics, which is hardly even digestible for the non-math-inclined gamblers, is ineffective alone in correcting the specific cognitive distortions associated with gambling. By applying the latest research results in (...)
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  38. What is Mathematics: Gödel's Theorem and Around (Edition 2015).Karlis Podnieks - manuscript
    Introduction to mathematical logic. Part 2.Textbook for students in mathematical logic and foundations of mathematics. Platonism, Intuition, Formalism. Axiomatic set theory. Around the Continuum Problem. Axiom of Determinacy. Large Cardinal Axioms. Ackermann's Set Theory. First order arithmetic. Hilbert's 10th problem. Incompleteness theorems. Consequences. Connected results: double incompleteness theorem, unsolvability of reasoning, theorem on the size of proofs, diophantine incompleteness, Loeb's theorem, consistent universal statements are provable, Berry's paradox, incompleteness and Chaitin's theorem. Around Ramsey's theorem.
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  39. Metaphysics and Contemporary Science: Why the question of the synthetic a priori shouldn’t not be abandoned prematurely.Kay Herrmann - 2020 - Philosophie.Ch. Swiss Portal for Philosophy (07.10.2020).
    The problem of synthetic judgements touches on the question of whether philosophy can draw independent statements about reality in the first place. For Kant, the synthetic judgements a priori formulate the conditions of the possibility for objectively valid knowledge. Despite the principle fallibility of its statements, modern science aims for objective knowledge. This gives the topic of synthetic a priori unbroken currency. This paper aims to show that a modernized version of transcendental philosophy, if it is to be feasible at (...)
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  40. Comparing Mathematics Achievement: Control vs. Experimental Groups in the Context of Mobile Educational Applications.Charlotte Canilao & Melanie Gurat - 2023 - American Journal of Educational Research 11 (6):348-358.
    This study primarily assessed students' achievement in mathematics using a mobile educational application to help them learn and adapt to changes in education. The study involved selected Grade 9 students at a public high school in Nueva Vizcaya, Philippines. This study used a quasi-experimental method, particularly a post-test control group design. Descriptive statistics such as frequencies, percent, mean, and standard deviation were used to describe the achievement of the students in mathematics. A t-test for independent samples was also computed to (...)
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  41. The van Wijngaarden grammars: A syntax primer with decidable restrictions.Luis M. Augusto - 2023 - Journal of Knowledge Structures and Systems 4 (2):1-39.
    Expressiveness and decidability are two core aspects of programming languages that should be thoroughly known by those who use them; this includes knowledge of their metalanguages a.k.a. formal grammars. The van Wijngaarden grammars (WGs) are capable of generating all the languages in the Chomsky hierarchy and beyond; this makes them a relevant tool in the design of (more) expressive programming languages. But this expressiveness comes at a very high cost: The syntax of WGs is extremely complex and the decision problem (...)
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  42. Cantor, Choice, and Paradox.Nicholas DiBella - forthcoming - The Philosophical Review.
    I propose a revision of Cantor’s account of set size that understands comparisons of set size fundamentally in terms of surjections rather than injections. This revised account is equivalent to Cantor's account if the Axiom of Choice is true, but its consequences differ from those of Cantor’s if the Axiom of Choice is false. I argue that the revised account is an intuitive generalization of Cantor’s account, blocks paradoxes—most notably, that a set can be partitioned into a set that is (...)
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  43. The disruptive AlphaGeometry: Is it the beginning of the end of mathematics education?Quan-Hoang Vuong & Manh-Tung Ho - manuscript
    A new AI system, called AlphaGeometry, trained under synthetic data has demonstrated the ability to solve geometric problems at the International Olympiad level. This essay considers the fact that human abilities to learn and do math as well as many other tasks are increasingly augmented with AI. Clearly, smart technologies like AlphaGeometry are redefining a number of concepts and institutions such as learning, schools, education, teacher-student relationships, creativity, etc, which are so fundamental for what we’ve thought of as (...)
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  44. Visual imagery and the limits of comprehension.Marc Krellenstein - 1994 - Dissertation, New School for Social Research
    I examined the proposition that there are psychological limits on what scientific problems can be solved, and that these limits may be based on a failure to be able to produce imagable, observation-based models for any possible solution, a position suggested by philosopher Colin McGinn in an argument attempting to prove that the mind-body problem is unsolvable. I examined another likely candidate for an unsolvable problem -- the ultimate origin of the universe (i.e., what might have preceded the Big (...)
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  45. Principles of Liberty: A Design-based Research on Liberty as A Priori Constitutive Principle of the Social in the Swiss Nation Story.Tabea Hirzel - 2015 - Dissertation, Scm University, Zug, Switzerland
    One of the still unsolved problems in liberal anarchism is a definition of social constituency in positive terms. Partially, this had been solved by the advancements of liberal discourse ethics. These approaches, built on praxeology as a universal framework for social formation, are detached from the need of any previous or external authority or rule for the discursive partners. However, the relationship between action, personal identity, and liberty within the process of a community becoming solely generated from the (...)
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  46. P≠NP, By considering time as a fuzzy concept.Didehvar Farzad - manuscript
    Here, we try to build the structure of a Theory of computation based on considering time as a fuzzy concept. Actually, there are some reasons to consider time as a fuzzy concept. In this article, we don’t go to this side but we remind that Brower and Husserl ideas about the concept of time were similar [14]. Throughout this article, we present the Theory of Computation with Fuzzy Time. Considering the classical definition of Turing Machine we change and modify the (...)
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  47. The Self-Programming System: A Skepticism-conformed Computational Framework of the Mind (3rd edition).Fangfang Li & Xiaojie Zhang - manuscript
    How the mind works is the ultimate mystery for human beings. To answer this question, one of the most significant insights is Kant’s argument that we can only perceive phenomena but not the essence of the external world. Following this idea, we formulated a novel computational framework to model the mind based on two assumptions: 1) There is no presupposition of the existence of the external objective world and the main task of the mind is to explore, establish and utilize (...)
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  48. Reflection of the mathematical dimension of gambling in iGaming online content: A qualitative analysis - Fifth technical report.Catalin Barboianu - 2024 - Philscience.
    The current technical report presents the partial results of the quantitative analysis of the research project, after the review of 247 gambling websites. It is focused on and discusses the usage of the math terms specific to gambling in the reviewed sample. In particular, the fifth technical report discusses the usage of math terms associated with the game of slots, as found in the reviewed sample.
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  49. From being to acting: Kant and Fichte on intellectual intuition.G. Anthony Bruno - 2022 - British Journal for the History of Philosophy 31 (4):762-783.
    Fichte assigns ‘intellectual intuition’ a new meaning after Kant. But in 1799, his doctrine of intellectual intuition is publicly deemed indefensible by Kant and nihilistic by Jacobi. I propose to defend Fichte’s doctrine against these charges, leaving aside whether it captures what he calls the ‘spirit’ of transcendental idealism. I do so by articulating three problems that motivate Fichte’s redirection of intellectual intuition from being to acting: (1) the regress problem, which states that reflecting on empirical facts of consciousness (...)
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  50. P≠NP.Didehvar Farzad - manuscript
    Here, the author tries to build the structure of the Theory of computation based on considering time as a fuzzy concept. In fact, there are reasons to consider time as a fuzzy concept. In this article, the author doesn’t go to this side but note that Brower and Husserl views on the concept of time were similar [8]. Some reasons have been given for it in [3]. Throughout this article, the author presents the Theory of Computation with Fuzzy Time. Given (...)
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