Results for 'post-mathematical science'

936 found
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  1. Where Opposites Meet: Mathematics Between Science And Humanities.Ivano Zanzarella - 2019 - Scienza E Filosofia 22:302-321.
    The connection between science and mathematics is often considered necessary and insoluble. Therefore, a relationship between mathematics and humanities or arts is deemed exceptional or sometimes unnatural. Nevertheless, on the basis of historical, ontological and epistemological researches it can be noted that it’s impossible to warrant the immediate identification between mathematics and sciences on a deeper level than the practical one. Given the instrumentality and then the unnecessity of this connection, the relationship between mathematics and not-scientific disciplines is undeniable, (...)
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  2. Mathematics, explanation and reductionism: exposing the roots of the Egyptianism of European civilization.Arran Gare - 2005 - Cosmos and History 1 (1):54-89.
    We have reached the peculiar situation where the advance of mainstream science has required us to dismiss as unreal our own existence as free, creative agents, the very condition of there being science at all. Efforts to free science from this dead-end and to give a place to creative becoming in the world have been hampered by unexamined assumptions about what science should be, assumptions which presuppose that if creative becoming is explained, it will be explained (...)
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  3. “In Nature as in Geometry”: Du Châtelet and the Post-Newtonian Debate on the Physical Significance of Mathematical Objects.Aaron Wells - 2023 - In Wolfgang Lefèvre (ed.), Between Leibniz, Newton, and Kant: Philosophy and Science in the Eighteenth Century. Springer. pp. 69-98.
    Du Châtelet holds that mathematical representations play an explanatory role in natural science. Moreover, she writes that things proceed in nature as they do in geometry. How should we square these assertions with Du Châtelet’s idealism about mathematical objects, on which they are ‘fictions’ dependent on acts of abstraction? The question is especially pressing because some of her important interlocutors (Wolff, Maupertuis, and Voltaire) denied that mathematics informs us about the properties of material things. After situating Du (...)
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  4. Mathematical and Non-causal Explanations: an Introduction.Daniel Kostić - 2019 - Perspectives on Science 1 (27):1-6.
    In the last couple of years, a few seemingly independent debates on scientific explanation have emerged, with several key questions that take different forms in different areas. For example, the questions what makes an explanation distinctly mathematical and are there any non-causal explanations in sciences (i.e., explanations that don’t cite causes in the explanans) sometimes take a form of the question of what makes mathematical models explanatory, especially whether highly idealized models in science can be explanatory and (...)
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  5. History & Mathematics: Trends and Cycles.Leonid Grinin & Andrey 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 (...)
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  6. Rules to Infinity: The Normative Role of Mathematics in Scientific Explanation.Mark Povich - 2024 - Oxford University Press USA.
    [EDIT: This book will be published open access. Production is taking longer than expected but I will post the link to the whole book, hopefully by October.] One central aim of science is to provide explanations of natural phenomena. What role(s) does mathematics play in achieving this aim? How does mathematics contribute to the explanatory power of science? Rules to Infinity defends the thesis, common though perhaps inchoate among many members of the Vienna Circle, that mathematics contributes (...)
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  7. Effects of Computer-Assisted Instruction on Mathematics Achievement among Secondary School Students in Rivers State, Nigeria.P. C. Dr Ukaigwe & Keesiop Evelyn Goi-Tanen - 2022 - International Journal of Research and Innovation in Social Science 6 (4):341-347.
    The study investigated the effects of computer-assisted instruction on mathematics achievement among secondary school students in Rivers State. Two research questions and two hypotheses guided the study. The design was quasi-experimental. The population of the study was 215 students in a senior secondary school Kpor in Gokana. The sample of the study was 35 students. The sample size was drawn using simple random sampling technique. The instrument used to collect data was multiple choice achievement test. The instrument was validated by (...)
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  8. Analyzing the impact of collaborative learning approach on grade six students’ mathematics achievement and attitude towards mathematics.Hans-Stefan Siller & Sagheer Ahmad - 2024 - Eurasia Journal of Mathematics, Science and Technology Education 20 (2):em2395.
    This study investigated the impact of collaborative learning on mathematics achievement and attitudes in sixth-grade students, comparing it to traditional didactic teaching. A quasi-experimental research design was utilized in which sixth-grade students were randomly assigned to either control or experimental groups. Pre- and post-tests assessed mathematics achievement using curriculum-aligned tests. In addition, attitudes toward mathematics were measured using the ‘attitude towards mathematics’ inventory developed by Tapai and Marsh in 2004. Both groups exhibited similar pre-test levels. The experimental group received (...)
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  9. Dr Goff, Tear Down This Wall! The Interface Theory of Perception and the Science of Consciousnessiousness.Robert Prentner - 2021 - Journal of Consciousness Studies 28 (9-10):91-103.
    In his book “Galileo’s Error”, Philip Goff lays out what he calls “foundations for a new science of consciousness”, which are decidedly anti-physicalist (panpsychist), motivated by a critique of Galileo’s distinction into knowable objective and unknowable subjective properties and Arthur Eddington’s argument for the limitation of purely structural (physical) knowledge. Here we outline an alternative theory, premised on the Interface Theory of Perception, that too subscribes to a “post-Galilean” research programme. However, interface theorists disagree along several lines. 1. (...)
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  10. Theoretical and Methodological Context of (Post)-Modern Econometrics and Competing Philosophical Discourses for Policy Prescription.Emerson Abraham Jackson - 2018 - Journal of Heterodox Economics 4 (2):119-129.
    This research article was championed as a way of providing discourses pertaining to the concept of "Critical Realism (CR)" approach, which is amongst many othe forms of competing postmodern philosophical concepts for the engagement of dialogical discourses in the area of established econonetric methodologies for effective policy prescription in the economic science discipline. On the the whole, there is no doubt surrounding the value of empirical endeavours in econometrics to address real world economic problems, but equally so, the heavy (...)
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  11. Lightning in a Bottle: Complexity, Chaos, and Computation in Climate Science.Jon Lawhead - 2014 - Dissertation, Columbia University
    Climatology is a paradigmatic complex systems science. Understanding the global climate involves tackling problems in physics, chemistry, economics, and many other disciplines. I argue that complex systems like the global climate are characterized by certain dynamical features that explain how those systems change over time. A complex system's dynamics are shaped by the interaction of many different components operating at many different temporal and spatial scales. Examining the multidisciplinary and holistic methods of climatology can help us better understand the (...)
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  12. Criticizing the critique. Some methodological insights into the debate on the state of economic theory in the face of the post 2008 crisis.Lukasz Hardt - 2010 - Bank&Credit 41 (4):7-22.
    The aim of this paper is to investigate the current debate on the state of economics from a methodological perspective. We claim that the majority of contributions criticizing modern economics are not based on clear methodological principles and thus many of them are not correct. We show this with respect to such issues as the problem of realisticness of models and their assumptions, the role of mathematics in economics, the way we conceptualize the relation between economics (theory) and economy (empiria), (...)
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  13. Astronomy, Geometry, and Logic, Rev. 1c: An ontological proof of the natural principles that enable and sustain reality and mathematics.Michael Lucas Monterey & Michael Lucas-Monterey - manuscript
    The latest draft (posted 05/14/22) of this short, concise work of proof, theory, and metatheory provides summary meta-proofs and verification of the work and results presented in the Theory and Metatheory of Atemporal Primacy and Riemann, Metatheory, and Proof. In this version, several new and revised definitions of terms were added to subsection SS.1; and many corrected equations, theorems, metatheorems, proofs, and explanations are included in the main text. The body of the text is approximately 18 pages, with 3 sections; (...)
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  14. L'automa spirituale. La teoria della mente e delle passioni in Spinoza.Sergio Cremaschi - 1979 - Milan, Metropolitan City of Milan, Italy: Vita e Pensiero.
    Preface -/- 1. 'Anima' and 'res cogitans'. The Cartesian idea of nature and mind as a residual concept. The first chapter discusses the genesis of the concept of mind in Cartesian Philosophy; the claim is advanced that 'res cogitans' is a residual concept, defined on the basis of a previous definition of matter as 'res extensa'. As a consequence, a contradictory ontology of the mind is Descartes's poisoned bequest to the following tradition of 'scientific' psychology. -/- 2. The Mathematical (...)
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  15. J N MOHANTY (Jiten/Jitendranath) In Memoriam.David Woodruff- Smith & Purushottama Bilimoria - 2023 - Https://Www.Apaonline.Org/Page/Memorial_Minutes2023.
    J. N. (Jitendra Nath) Mohanty (1928–2023). -/- Professor J. N. Mohanty has characterized his life and philosophy as being both “inside” and “outside” East and West, i.e., inside and outside traditions of India and those of the West, living in both India and United States: geographically, culturally, and philosophically; while also traveling the world: Melbourne to Moscow. Most of his academic time was spent teaching at the University of Oklahoma, The New School Graduate Faculty, and finally Temple University. Yet his (...)
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  16. Overcoming the Newtonian Paradigm: The Unfinished Project of Theoretical Biology from a Schellingian Perspective.Arran Gare - 2013 - Progress in Biophysics and Molecular Biology 113:5-24.
    Defending Robert Rosen’s claim that in every confrontation between physics and biology it is physics that has always had to give ground, it is shown that many of the most important advances in mathematics and physics over the last two centuries have followed from Schelling’s demand for a new physics that could make the emergence of life intelligible. Consequently, while reductionism prevails in biology, many biophysicists are resolutely anti-reductionist. This history is used to identify and defend a fragmented but progressive (...)
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  17. How observers create reality.Brian Josephson - manuscript
    Wheeler proposed that repeated acts of observation give rise to the reality that we observe, but offered no detailed mechanism for this. Here this creative process is accounted for on the basis of the idea that nature has a deep technological aspect that evolves as a result of selection processes that act upon observers making use of the technologies. This leads to the conclusion that our universe is the product of agencies that use these evolved technologies to suit particular purposes (...)
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  18. POST-INDUSTRIAL SCIENCE OF XXI CENTURY – RATIONALISM VERSUS IRRATIONALISM: EVOLUTIONARY AND PHILOSOPHICAL ASPECT.Valentin Cheshko, L. V. Ivanitskaya & V. I. Glazko - 2011 - Russian Academy of Natural Sciences Herald 3:68-77.
    The phenomenon of rationalism and irrationalism, contextually related to the transformation methodology and the social function of modern (post-industrial) science – social verification, interpretation and knowledge, etc., are analyzes.
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  19. Crítica à Metafísica.Emanuel Isaque Cordeiro da Silva & Alana Thaís da Silva - manuscript
    -/- 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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  20. Can a Post-Galilean Science of Consciousness Avoid Substance Dualism?R. S. Weir - 2021 - Journal of Consciousness Studies 28 (9-10):212-228.
    In Galileo's Error, Philip Goff sets out a manifesto for a post-Galilean science of consciousness. Article four of the manifesto reads: 'Anti-Dualism: Consciousness is not separate from the physical world; rather consciousness is located in the intrinsic nature of the physical world.' I argue that there is an important sense of ‘dualism’ in which Goff’s arguments are not only compatible with but entail dualism, and not only dualism but substance dualism. Substance dualism, in the sense I have in (...)
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  21. The Self and Its World: Husserlian Contributions to a Metaphysics of Einstein’s Theory of Relativity and Heisenberg’s Indeterminacy Principle in Quantum Physics.Maria Eliza Cruz - manuscript
    This paper centers on the implicit metaphysics beyond the Theory of Relativity and the Principle of Indeterminacy – two revolutionary theories that have changed 20th Century Physics – using the perspective of Husserlian Transcedental Phenomenology. Albert Einstein (1879-1955) and Werner Heisenberg (1901-1976) abolished the theoretical framework of Classical (Galilean- Newtonian) physics that has been complemented, strengthened by Cartesian metaphysics. Rene Descartes (1596- 1850) introduced a separation between subject and object (as two different and self- enclosed substances) while Galileo and Newton (...)
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  22. The Turing Guide.Jack Copeland, Jonathan Bowen, Robin Wilson & Mark Sprevak (eds.) - 2017 - Oxford: Oxford University Press.
    This volume celebrates the various facets of Alan Turing (1912–1954), the British mathematician and computing pioneer, widely considered as the father of computer science. It is aimed at the general reader, with additional notes and references for those who wish to explore the life and work of Turing more deeply. -/- The book is divided into eight parts, covering different aspects of Turing’s life and work. -/- Part I presents various biographical aspects of Turing, some from a personal point (...)
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  23. Axioms, Definitions, and the Pragmatic a priori: Peirce and Dewey on the “Foundations” of Mathematical Science.Bradley C. Dart - 2024 - European Journal of Pragmatism and American Philosophy 16 (1).
    Peirce and Dewey were generally more concerned with the process of scientific activity than purely mathematical work. However, their accounts of knowledge production afford some insights into the epistemology of mathematical postulates, especially definition and axioms. Their rejection of rationalist metaphysics and their emphasis on continuity in inquiry provides the pretext for the pragmatic a priori – hypothetical and operational assumptions whose justification relies on their fruitfulness in the long run. This paper focuses on the application of this (...)
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  24. Reimagining mathematics education: Identifying training needs and challenges among public elementary school teacher’s post-pandemic.Lislee Valle - 2024 - International Journal of Education and Practice 12 (3):527-539.
    The sudden shift in the education system during the pandemic and its subsequent evolution during the post-pandemic era have been pivotal in fostering significant educational development and growth. However, this paradigm shift has not been without challenges. This paper aims to investigate the challenges faced by 68 mathematics teachers in four public elementary schools in the Philippines. The respondents were purposively selected to answer the study’s instrument. Using a descriptive survey research methodology, this study explored the five domains in (...)
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  25. Mathematics, Narratives and Life: Reconciling Science and the Humanities.Arran Gare - 2024 - Cosmos and History 20 (1):133-155.
    The triumph of scientific materialism in the Seventeenth Century not only bifurcated nature into matter and mind and primary and secondary qualities, as Alfred North Whitehead pointed out in Science and the Modern World. It divided science and the humanities. The core of science is the effort to comprehend the cosmos through mathematics. The core of the humanities is the effort to comprehend history and human nature through narratives. The life sciences can be seen as the zone (...)
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  26. Beyond Desartes and Newton: Recovering life and humanity.Stuart A. Kauffman & Arran Gare - 2015 - Progress in Biophysics and Molecular Biology 119 (3):219-244.
    Attempts to ‘naturalize’ phenomenology challenge both traditional phenomenology and traditional approaches to cognitive science. They challenge Edmund Husserl’s rejection of naturalism and his attempt to establish phenomenology as a foundational transcendental discipline, and they challenge efforts to explain cognition through mainstream science. While appearing to be a retreat from the bold claims made for phenomenology, it is really its triumph. Naturalized phenomenology is spearheading a successful challenge to the heritage of Cartesian dualism. This converges with the reaction against (...)
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  27. The Return of Causal Powers?Andreas Hüttemann - 2021 - In Stathis Psillos, Benjamin Hill & Henrik Lagerlund (eds.), Causal Powers in Science: Blending Historical and Conceptual Perspectives. Oxford University Press. pp. 168-185.
    Powers, capacities and dispositions (in what follows I will use these terms synonymously) have become prominent in recent debates in metaphysics, philosophy of science and other areas of philosophy. In this paper I will analyse in some detail a well-known argument from scientific practice to the existence of powers/capacities/dispositions. According to this argument the practice of extrapolating scientific knowledge from one kind of situation to a different kind of situation requires a specific interpretation of laws of nature, namely as (...)
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  28. Mathematical Metaphors in Natorp’s Neo-Kantian Epistemology and Philosophy of Science.Thomas Mormann - 2005 - In Falk Seeger, Johannes Lenard & Michael H. G. Hoffmann (eds.), Activity and Sign. Grounding Mathematical Education. Springer.
    A basic thesis of Neokantian epistemology and philosophy of science contends that the knowing subject and the object to be known are only abstractions. What really exists, is the relation between both. For the elucidation of this “knowledge relation ("Erkenntnisrelation") the Neokantians of the Marburg school used a variety of mathematical metaphors. In this con-tribution I reconsider some of these metaphors proposed by Paul Natorp, who was one of the leading members of the Marburg school. It is shown (...)
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  29. Creating a Warmer Environment for Women in the Mathematical Sciences and in Philosophy.Samantha Brennan & Rob Corless - unknown
    Speaking from our experience as department chairs in fields in which women are traditionally underrepresented, we offer reflections and advice on how one might move beyond the chilly climate and create a warmer environment for women students and faculty members.
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  30. Mathematics as a science of non-abstract reality: Aristotelian realist philosophies of mathematics.James Franklin - 2022 - Foundations of Science 27 (2):327-344.
    There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and (...)
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  31. An Introduction to Interdisciplinary Research: Theory and Practice.Steph Menken, Machiel Keestra, Lucas Rutting, Ger Post, Mieke de Roo, Sylvia Blad & Linda de Greef (eds.) - 2016 - Amsterdam University Press.
    A SECOND COMPLETELY REVISED EDITION OF THIS TEXTBOOK ON INTERDISCIPLINARY RESEARCH WAS PUBLISHED WITH AMSTERDAM UNIVERSITY PRESS IN 2022. Check out that version here and a PDF of its ToC and Introduction, as this first edition (AUP 2016) is no longer available. [This book (128 pp.) serves as an introduction and manual to guide students through the interdisciplinary research process. We are becoming increasingly aware that, as a result of technological developments and globalisation, problems are becoming so complex that they (...)
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  32. Time, Mathematics, and the Fold: A Post-Heideggerian Itinerary.Said Mikki - manuscript
    A perspective is provided on how to move beyond postmodernism while struggling to do philosophy in the twenty-first century. The ontological structures of time, history, and mathematics are analyzed from the vantagepoint of the Heideggerian theory of nonspatial Fold.
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  33. Extreme Science: Mathematics as the Science of Relations as such.R. S. D. Thomas - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 245.
    This paper sets mathematics among the sciences, despite not being empirical, because it studies relations of various sorts, like the sciences. Each empirical science studies the relations among objects, which relations determining which science. The mathematical science studies relations as such, regardless of what those relations may be or be among, how relations themselves are related. This places it at the extreme among the sciences with no objects of its own (A Subject with no Object, by (...)
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  34. La surprise comme mesure de l'empiricité des simulations computationnelles.Franck Varenne - 2015 - In Natalie Depraz & Claudia Serban (eds.), La surprise. A l'épreuve des langues. Hermann. pp. 199-217.
    This chapter elaborates and develops the thesis originally put forward by Mary Morgan (2005) that some mathematical models may surprise us, but that none of them can completely confound us, i.e. let us unable to produce an ex post theoretical understanding of the outcome of the model calculations. This chapter intends to object and demonstrate that what is certainly true of classical mathematical models is however not true of pluri-formalized simulations with multiple axiomatic bases. This chapter thus (...)
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  35. A New Role for Mathematics in Empirical Sciences.Atoosa Kasirzadeh - 2021 - Philosophy of Science 88 (4):686-706.
    Mathematics is often taken to play one of two roles in the empirical sciences: either it represents empirical phenomena or it explains these phenomena by imposing constraints on them. This article identifies a third and distinct role that has not been fully appreciated in the literature on applicability of mathematics and may be pervasive in scientific practice. I call this the “bridging” role of mathematics, according to which mathematics acts as a connecting scheme in our explanatory reasoning about why and (...)
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  36. Mathematics for Cognitive Science.Venkata Rayudu Posina - manuscript
    That the state-of-affairs of cognitive science is not good is brought into figural salience in "What happened to cognitive science?" (Núñez et al., 2019). We extend their objective description of 'what's wrong' to a prescription of 'how to correct'. Cognitive science, in its quest to elucidate 'how we know', embraces a long list of subjects, while ignoring Mathematics (Fig. 1a, Núñez et al., 2019). Mathematics is known for making the unknown to be known (cf. solving for unknowns). (...)
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  37. (1 other version)A Gender-Based Analysis of Classroom Interaction Practices The Effect Thereof on University Students’ Academic Performance.Norman Rudhumbu - 2022 - International Journal of Learning, Teaching and Educational Research 21 (5):22-45.
    The need to optimize student interactions in universities for enhanced academic performance has been a subject of debate and discussion in different academic fora. A number of studies have shown that students, both male and female, can assert themselves academically if they are provided with opportunities for active participation and interaction with their lecturers and peers for both the horizontal and the vertical sharing of knowledge. The purpose of this study, therefore, was to investigate the gender-based interaction practices of (...), mathematics and technology university students, and how these interactive patterns influence their academic performance. Using a quantitative approach located in the post-positivist paradigm, the study employed a structured questionnaire to collect the data from a sample of 1285 students from three universities. The results of the study showed that institutional practices, lecturers, parents, peers, learning content and artifacts, as well as the classroom environment, have a significant influence on the gender-based interaction practices of university students. Furthermore,, the results showed that the levels of interaction have a significant influence on the academic performance of university students, according to gender. As a main recommendation, it was proposed that universities should come up with gender-equity policies that would guide how the universities and their stakeholders could cater for the issues of gender equity. (shrink)
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  38. A ciência econômica como retórica: por uma nova ontologia.Gustavo Ruiz da Silva & Pedro Almeida Meniconi - 2021 - Alabastro 1 (14):38-51.
    This article aims to contribute to the economic science’s discourse analysis, bringing the concepts of Foucault’s post-structuralism to this debate. We seek to understand the epistemological change in the economy, started in the 80s, without having to resort to a split in social interpretation in abstract cultural spheres (postmodernism) and other material-economic spheres (neoliberalism). The field of rhetoric in economics has sparked an intense debate in the social sciences. The abandonment of Keynesian theses, empirically tested throughout the 20th (...)
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  39. Logic in mathematics and computer science.Richard Zach - forthcoming - In Filippo Ferrari, Elke Brendel, Massimiliano Carrara, Ole Hjortland, Gil Sagi, Gila Sher & Florian Steinberger (eds.), Oxford Handbook of Philosophy of Logic. Oxford, UK: Oxford University Press.
    Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, (...)
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  40. A Case Study of Students’ Lost Learning in Mathematics on Post-Remote Learning.Emmanuel S. Saga, Marilyn S. Orongan & Hyacinth C. Abarca - 2023 - International Journal of Multidisciplinary Educational Research and Innovation 1 (3):109-120.
    The objective of this case study concentrated on examining the learning gap, going through some components of the transformation process, and coming up with some ways for aiding students who were experiencing lost learning. A qualitative research design was utilized by the researchers to understand and solve the cases related to Mathematics learning difficulties. Creswell (2008) asserts that qualitative research can be used to discover and comprehend the significance that certain people or groups assign to social or human issues. The (...)
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  41. Mathematics and Statistics in the Social Sciences.Stephan Hartmann & Jan Sprenger - 2011 - In Ian C. Jarvie & Jesus Zamora-Bonilla (eds.), The SAGE Handbook of the Philosophy of Social Sciences. London: Sage Publications. pp. 594-612.
    Over the years, mathematics and statistics have become increasingly important in the social sciences1 . A look at history quickly confirms this claim. At the beginning of the 20th century most theories in the social sciences were formulated in qualitative terms while quantitative methods did not play a substantial role in their formulation and establishment. Moreover, many practitioners considered mathematical methods to be inappropriate and simply unsuited to foster our understanding of the social domain. Notably, the famous Methodenstreit also (...)
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  42. Science of Knowing: Mathematics.Venkata Rayudu Posina - manuscript
    The 'Science of Knowing: Mathematics' textbook is the first book to put forward and substantiate the thesis that the mathematical understanding of mathematics, as exemplified in F. William Lawvere's Functorial Semantics, constitutes the science of knowing i.e. cognitive science. -/- This is a textbook, i.e. teaching material.
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  43. Lakatos' Undone Work: The Practical Turn and the Division of Philosophy of Mathematics and Philosophy of Science - Introduction to the Special Issue on Lakatos’ Undone Work.Sophie Nagler, Hannah Pillin & Deniz Sarikaya - 2022 - Kriterion - Journal of Philosophy 36:1-10.
    We give an overview of Lakatos’ life, his philosophy of mathematics and science, as well as of this issue. Firstly, we briefly delineate Lakatos’ key contributions to philosophy: his anti-formalist philosophy of mathematics, and his methodology of scientific research programmes in the philosophy of science. Secondly, we outline the themes and structure of the masterclass Lakatos’ Undone Work – The Practical Turn and the Division of Philosophy of Mathematics and Philosophy of Science, which gave rise to this (...)
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  44. Natorp's mathematical philosophy of science.Thomas Mormann - 2022 - Studia Kantiana 20 (2):65 - 82.
    This paper deals with Natorp’s version of the Marburg mathematical philosophy of science characterized by the following three features: The core of Natorp’s mathematical philosophy of science is contained in his “knowledge equation” that may be considered as a mathematical model of the “transcendental method” conceived by Natorp as the essence of the Marburg Neo-Kantianism. For Natorp, the object of knowledge was an infinite task. This can be elucidated in two different ways: Carnap, in the (...)
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  45. A fresh look at research strategies in computational cognitive science: The case of enculturated mathematical problem solving.Regina E. Fabry & Markus Pantsar - 2019 - Synthese 198 (4):3221-3263.
    Marr’s seminal distinction between computational, algorithmic, and implementational levels of analysis has inspired research in cognitive science for more than 30 years. According to a widely-used paradigm, the modelling of cognitive processes should mainly operate on the computational level and be targeted at the idealised competence, rather than the actual performance of cognisers in a specific domain. In this paper, we explore how this paradigm can be adopted and revised to understand mathematical problem solving. The computational-level approach applies (...)
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  46. An Aristotelian Realist Philosophy of Mathematics: Mathematics as the science of quantity and structure.James Franklin - 2014 - London and New York: Palgrave MacMillan.
    An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world (...)
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  47. From Mathematics to Quantum Mechanics - On the Conceptual Unity of Cassirer’s Philosophy of Science.Thomas Mormann - 2015 - In J. Tyler Friedman & Sebastian Luft (eds.), The Philosophy of Ernst Cassirer: A Novel Assessment. Boston: De Gruyter. pp. 31-64.
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  48. Post-Continental Naturalism: Equipollence between Science and Ontological Pluralism. [REVIEW]Ekin Erkan - 2020 - Rhizomes: Cultural Studies in Emerging Knowledge 36.
    Ian James has carved a rigorous analysis of four philosophers—Jean-Luc Nancy, François Laruelle, Catherine Malabou and Bernard Stiegler—who not only engage with the limits of thought through variegated, albeit embedded, disciplinary tendencies but have also, arguably, spearheaded a critical reorientation of continental philosophy, slowly opening the doors for transcending the traditional terms of the analytic-continental divide by engaging with a pluralized understanding of the sciences. A parallel plexus of American naturalist philosophy accompanies James’ analysis, as he stakes the claim that (...)
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  49. Challenges in Teaching Science and its Transition to Post-Pandemic Education.Nemalynne Atriginio Amigo, Thelma Coloma Damaso, Sharmaine Agustin Diego, Jessica Rabor Laciste, Romelyn Tutaan Lagura, Ryan Bautista Tagata, Nove Lheen Castillo Taguicana & Eisle Keith Rivera Tapia - 2023 - American Journal of Multidisciplinary Research and Innovation 2 (3):15-22.
    The COVID-19 pandemic has had a significant impact on the education sector globally, with over one billion students being held out of school as a result of quarantine measures. In response, education systems had to quickly shift to online learning to ensure that students could continue their education. The sudden shift to online learning has resulted in educators having to adapt to the use of technology in education rapidly. The COVID-19 pandemic has highlighted the importance of digital literacy for educators (...)
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  50. Unification and mathematical explanation in science.Sam Baron - 2021 - Synthese 199 (3-4):7339-7363.
    Mathematics clearly plays an important role in scientific explanation. Debate continues, however, over the kind of role that mathematics plays. I argue that if pure mathematical explananda and physical explananda are unified under a common explanation within science, then we have good reason to believe that mathematics is explanatory in its own right. The argument motivates the search for a new kind of scientific case study, a case in which pure mathematical facts and physical facts are explanatorily (...)
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