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  1. added 2020-02-12
    The Inadequacy of Husserlian Mereology for the Regional Ontology of Quantum Chemical Wholes.Marina P. Banchetti - 2020 - In Thomas Seebohm on the Foundation of the Sciences: An Analysis and Critical Appraisal. Dordrecht, Netherlands: pp. 135-151.
    In his book, 'History as a Science and the System of the Sciences', Thomas Seebohm articulates the view that history can serve to mediate between the sciences of explanation and the sciences of interpretation, that is, between the natural sciences and the human sciences. Among other things, Seebohm analyzes history from a phenomenological perspective to reveal the material foundations of the historical human sciences in the lifeworld. As a preliminary to his analyses, Seebohm examines the formal and material presuppositions of (...)
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  2. added 2019-06-06
    Edmund Husserl. Introduction to Logic and Theory of Knowledge: Lectures 1906\Textfractionsolidus{}07 Collected Works, Vol. 13. Translated by Claire Ortiz Hill: Critical Studies/Book Reviews. [REVIEW]Richard Tieszen - 2010 - Philosophia Mathematica 18 (2):247-252.
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  3. added 2019-06-06
    Revisiting Husserl's Philosophy of Arithmetic †I Thank Mark van Atten for Comments on This Review.Richard Tieszen - 2006 - Philosophia Mathematica 14 (1):112-130.
  4. added 2019-06-06
    Frege’s Attack on Husserl and Cantor.Claire Oritz Hill - 1994 - The Monist 77 (3):345-357.
    One hundred years ago Gottlob Frege published a damaging, abusive review of Edmund Husserl’s Philosophy of Arithmetic. Although rather a lot has now been written abound Frege’s review and the role it might have played in the development of Husserl’s thought, much still remains to be rectified regarding Frege’s assessment of the book and the credence his review has been accorded. Philosophers have generally been all too willing to trust Frege’s judgment, and so all too ready to dismiss Husserl’s book (...)
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  5. added 2019-06-06
    Husserl and Realism in Logic and Mathematics.Dermot Moran - 1986 - Philosophical Studies 31:361-365.
  6. added 2019-06-06
    From Hilbert to Husserl: First Introduction to Phenomenology, Especially That of Formal Mathematics.Dietrich Mahnke - 1977 - Studies in History and Philosophy of Science Part A 8 (1):71.
  7. added 2019-06-05
    A Phenomenological Study Of The Lived Experiences Of Nontraditional Students In Higher Level Mathematics At A Midwest University.Brian Bush Wood - 2017 - Dissertation, Keiser University
    The current literature suggests that the use of Husserl’s and Heidegger’s approaches to phenomenology is still practiced. However, a clear gap exists on how these approaches are viewed in the context of constructivism, particularly with non-traditional female students’ study of mathematics. The dissertation attempts to clarify the constructivist role of phenomenology within a transcendental framework from the first-hand meanings associated with the expression of the relevancy as expressed by interviews of six nontraditional female students who have studied undergraduate mathematics. Comparisons (...)
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  8. added 2019-04-26
    Sensing Objectivity: A Comment on Mary Leng's "Creation and Discovery in Mathematics".Michael Detlefsen - 2011 - In John Polkinghorne (ed.), Mathematics and its Significance. Oxford: Oxford University Press. pp. 70-71.
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  9. added 2019-01-23
    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 of (...)
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  10. added 2019-01-23
    Mathematician's Call for Interdisciplinary Research Effort.Catalin Barboianu - 2013 - International Gambling Studies 13 (3):430-433.
    The article addresses the necessity of increasing the role of mathematics in the psychological intervention in problem gambling, including cognitive therapies. It also calls for interdisciplinary research with the direct contribution of mathematics. The current contributions and limitations of the role of mathematics are analysed with an eye toward the professional profiles of the researchers. An enhanced collaboration between these two disciplines is suggested and predicted.
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  11. added 2018-08-11
    Logos and its Footnotes.Paul Bali - manuscript
    on ontologs, or words that are the thing they name; a volitional solution to Zeno's Line and Arrow paradoxes; on Sokal as unintentional non-parody; and more.
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  12. added 2018-01-08
    On the Embodiment of Space and Time: Triadic Logic, Quantum Indeterminacy and the Metaphysics of Relativity.Timothy M. Rogers - manuscript
    Triadic (systemical) logic can provide an interpretive paradigm for understanding how quantum indeterminacy is a consequence of the formal nature of light in relativity theory. This interpretive paradigm is coherent and constitutionally open to ethical and theological interests. -/- In this statement: -/- (1) Triadic logic refers to a formal pattern that describes systemic (collaborative) processes involving signs that mediate between interiority (individuation) and exteriority (generalized worldview or Umwelt). It is also called systemical logic or the logic of relatives. The (...)
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  13. added 2017-07-14
    Reductionism and the Universal Calculus.Gopal Sarma - 2016 - Arxiv Preprint Arxiv:1607.06725.
    In the seminal essay, "On the unreasonable effectiveness of mathematics in the physical sciences," physicist Eugene Wigner poses a fundamental philosophical question concerning the relationship between a physical system and our capacity to model its behavior with the symbolic language of mathematics. In this essay, I examine an ambitious 16th and 17th-century intellectual agenda from the perspective of Wigner's question, namely, what historian Paolo Rossi calls "the quest to create a universal language." While many elite thinkers pursued related ideas, the (...)
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  14. added 2017-06-02
    A Case Study of Misconceptions Students in the Learning of Mathematics; The Concept Limit Function in High School.Widodo Winarso & Toheri Toheri - 2017 - Jurnal Riset Pendidikan Matematika 4 (1): 120-127.
    This study aims to find out how high the level and trends of student misconceptions experienced by high school students in Indonesia. The subject of research that is a class XI student of Natural Science (IPA) SMA Negeri 1 Anjatan with the subject matter limit function. Forms of research used in this study is a qualitative research, with a strategy that is descriptive qualitative research. The data analysis focused on the results of the students' answers on the test essay subject (...)
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  15. added 2017-02-16
    WEYL, HERMANN. "Philosophy of Mathematics and Natural Science". [REVIEW]Brian Coffey - 1949 - Modern Schoolman 27:232.
  16. added 2017-02-10
    Husserl's Epistemology of Mathematics and the Foundation of Platonism in Mathematics.Guillermo E. Rosado Handdock - 1987 - Husserl Studies 4 (2):81-102.
  17. added 2017-01-29
    Phenomenology and Philosophy of Mathematics.Roman Murawski - unknown - Poznan Studies in the Philosophy of the Sciences and the Humanities 98:135-146.
  18. added 2017-01-14
    Phenomenology of Mathematics.Mark van Atten & Mark Atten - 2015 - In Mark van Atten & Mark Atten (eds.), Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer. Springer Verlag.
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  19. added 2017-01-11
    Husserl on Symbolic Technologies and Meaning-Constitution: A Critical Inquiry.Peter Woelert - 2017 - Continental Philosophy Review 50 (3):289-310.
    This paper reconstructs and critically analyzes Husserl’s philosophical engagement with symbolic technologies—those material artifacts and cultural devices that serve to aid, structure and guide processes of thinking. Identifying and exploring a range of tensions in Husserl’s conception of symbolic technologies, I argue that this conception is limited in several ways, and particularly with regard to the task of accounting for the more constructive role these technologies play in processes of meaning-constitution. At the same time, this paper shows that a critical (...)
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  20. added 2016-12-12
    Phenomenology, Logic, and the Philosophy of Mathematics.Richard Tieszen - 2005 - Cambridge University Press.
    Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and (...)
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  21. added 2016-08-29
    The Surd.Aden Evens - 2006 - In Simon B. Duffy (ed.), Virtual Mathematics: The Logic of Difference. Clinamen.
    This article explores the question of what number is, demonstrating parallels between the Deleuzian notion of the differential as a dynamic moment of number and the intuitionist definition of number as a choice sequence. One conclusion offers a theory of mathematical progress, and suggests that this theory might be extended to domains outside of mathematics.
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  22. added 2016-06-28
    On the History of Differentiable Manifolds.Giuseppe Iurato - 2012 - International Mathematical Forum 7 (10):477-514.
    We discuss central aspects of history of the concept of an affine differentiable manifold, as a proposal confirming the need for using some quantitative methods (drawn from elementary Model Theory) in Mathematical Historiography. In particular, we prove that this geometric structure is a syntactic rigid designator in the sense of Kripke-Putnam.
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  23. added 2016-01-27
    Traduzione di Friedrich Waismann, Introduzione al pensiero matematico.Ludovico Geymonat - 1942 - Einaudi.
  24. added 2015-11-09
    L'idée de la Logique Formelle Dans les Appendices VI À X du Volume 12 des Husserliana.Manuel Gustavo Isaac - 2015 - History and Philosophy of Logic 36 (4):321-345.
    Au terme des Prolégomènes, Husserl formule son idée de la logique pure en la structurant sur deux niveaux: l'un, supérieur, de la logique formelle fondé transcendantalement et d'un point de vue épistémologique par l'autre, inférieur, d'une morphologie des catégories. Seul le second de ces deux niveaux est traité dans les Recherches logiques, tandis que les travaux théoriques en logique formelle menés par Husserl à la même époque en paraissent plutôt indépendants. Cet article est consacré à ces travaux tels que recueillis (...)
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  25. added 2015-10-30
    On the Role Played by the Work of Ulisse Dini on Implicit Function Theory in the Modern Differential Geometry Foundations: The Case of the Structure of a Differentiable Manifold, 1.Giuseppe Iurato - manuscript
    In this first paper we outline what possible historic-epistemological role might have played the work of Ulisse Dini on implicit function theory in formulating the structure of differentiable manifold, via the basic work of Hassler Whitney. A detailed historiographical recognition about this Dini's work has been done. Further methodological considerations are then made as regards history of mathematics.
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  26. added 2015-10-30
    Bachelard, Enriques and Weyl: Comparing Some of Their Ideas.Giuseppe Iurato - 2012 - Quaderni di Ricerca in Didattica (Science) 4:40-50.
    Some aspects of Federigo Enriques mathematical philosophy thought are taken as central reference points for a critical historic-epistemological comparison between it and some of the main aspects of the philosophical thought of other his contemporary thinkers like, Gaston Bachelard and Hermann Weyl. From what will be exposed, it will be also possible to make out possible educational implications of the historic-epistemological approach.
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  27. added 2015-08-25
    Beauty Is Not Simplicity: An Analysis of Mathematicians' Proof Appraisals.Matthew Inglis & Andrew Aberdein - 2015 - Philosophia Mathematica 23 (1):87-109.
    What do mathematicians mean when they use terms such as ‘deep’, ‘elegant’, and ‘beautiful’? By applying empirical methods developed by social psychologists, we demonstrate that mathematicians' appraisals of proofs vary on four dimensions: aesthetics, intricacy, utility, and precision. We pay particular attention to mathematical beauty and show that, contrary to the classical view, beauty and simplicity are almost entirely unrelated in mathematics.
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  28. added 2014-12-06
    Review of M. Hartimo (Ed.), Phenomenology and Mathematics[REVIEW]Stefania Centrone - 2014 - Philosophia Mathematica 22 (1):126-129.
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  29. added 2014-10-12
    The Expressional Limits of Formal Language in the Notion of Quantum Observation.Stathis Livadas - 2012 - Axiomathes 22 (1):147-169.
    In this article I deal with the notion of observation, from a phenomenologically motivated point of view, and its representation mainly by means of the formal language of quantum mechanics. In doing so, I have taken the notion of observation in two diverse contexts. In one context as a notion related with objects of a logical-mathematical theory taken as registered facts of phenomenological perception ( Wahrnehmung ) inasmuch as this phenomenological idea can also be linked with a process of measurement (...)
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  30. added 2014-04-02
    Abduction and Conjecturing in Mathematics.Ferdinando Arzarello, Valeria Andriano, Federica Olivero & Ornella Robutti - 1998 - Philosophica 61 (1):77-94.
    The logic of discovering and that of justifying have been a permanent source of debate in mathematics, because of their different and apparently contradictory features within the processes of production of mathematical sentences. In fact, a fundamental unity appears as soon as one investigates deeply the phenomenology of conjecturing and proving using concrete examples. In this paper it is shown that abduction, in the sense of Peirce, is an essential unifying activity, ruling such phenomena. Abduction is the major ingredient in (...)
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  31. added 2014-03-29
    Logic and Philosophy of Mathematics in the Early Husserl.Stefania Centrone - 2010 - Springer.
    This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to ...
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  32. added 2014-03-29
    Mathematical Realism and Transcendental Phenomenological Realism.Richard Tieszen - 2010 - In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer. pp. 1--22.
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  33. added 2014-03-29
    The Development of Mathematics and the Birth of Phenomenology.Mirja Hartimo - 2010 - In Phenomenology and Mathematics. Springer. pp. 107--121.
  34. added 2014-03-29
    On Referring to Gestalts.Olav K. Wiegand - 2010 - In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer. pp. 183--211.
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  35. added 2014-03-29
    Phenomenology and Mathematics.Mirja Hartimo (ed.) - 2010 - Springer.
    This volume aims to establish the starting point for the development, evaluation and appraisal of the phenomenology of mathematics.
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  36. added 2014-03-24
    Why Husserl Should Have Been a Strong Revisionist in Mathematics.M. van Atten - 2002 - Husserl Studies 18 (1):1-18.
    Husserl repeatedly has claimed that (1) mathematics without a philosophical foundation is not a science but a mere technique; (2) philosophical considerations may lead to the rejection of parts of mathematical practice; but (3) they cannot lead to mathematical innovations. My thesis is that Husserl's third claim is wrong, by his own standards.
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  37. added 2014-03-19
    Abstraction and Idealization in Edmund Husserl and Georg Cantor Prior to 1895.Claire Ortiz Hill - 2004 - Poznan Studies in the Philosophy of the Sciences and the Humanities 82 (1):217-244.
    Little is known of Edmund Husserl's direct encounter with Georg Cantor's ideas on Platonic idealism and the abstraction of number concepts during the late 19th century, when Husserl's philosophical orientation changed considerably and definitely. Closely analyzing and comparing the two men's writings during that important time in their intellectual careers, I describe the crucial shift in Husserl's views on psychologism and metaphysical idealism as it relates to Cantor's philosophy of arithmetic. I thus establish connections between their ideas which have been (...)
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  38. added 2014-03-18
    Mathematical Form in the World.David Woodruff Smith - 2002 - Philosophia Mathematica 10 (2):102-129.
    This essay explores an ideal notion of form (mathematical structure) that embraces logical, phenomenological, and ontological form. Husserl envisioned a correlation among forms of expression, thought, meaning, and object—positing ideal forms on all these levels. The most puzzling formal entities Husserl discussed were those he called ‘manifolds’. These manifolds, I propose, are forms of complex states of affairs or partial possible worlds representable by forms of theories (compare structuralism). Accordingly, I sketch an intentionality-based semantics correlating these four Husserlian levels of (...)
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  39. added 2014-03-18
    Mathematics and Phenomenology: The Correspondence Between O. Becker and H. Weyl.Paolo Mancosu & T. A. Ryckman - 2002 - Philosophia Mathematica 10 (2):130-202.
    Recently discovered correspondence from Oskar Becker to Hermann Weyl sheds new light on Weyl's engagement with Husserlian transcendental phenomenology in 1918-1927. Here the last two of these letters, dated July and August, 1926, dealing with issues in the philosophy of mathematics are presented, together with background and a detailed commentary. The letters provide an instructive context for re-assessing the connection between intuitionism and phenomenology in Weyl's foundational thought, and for understanding Weyl's term ‘symbolic construction’ as marking his own considered position (...)
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  40. added 2014-03-18
    Phenomenology and Mathematics: Dedicated to the Memory of Gian-Carlo Rota (1932 4 27-1999 4 19).Richard Tieszen - 2002 - Philosophia Mathematica 10 (2):97-101.
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  41. added 2014-03-17
    Qed: Fenomenologia Della Dimostrazione.Gabriele Lolli - 2005 - Bollati Boringhieri.
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  42. added 2014-03-16
    Brouwer Meets Husserl: On the Phenomenology of Choice Sequences.Markus Sebastiaan Paul Rogier van Atten - 2007 - Springer.
    Can the straight line be analysed mathematically such that it does not fall apart into a set of discrete points, as is usually done but through which its fundamental continuity is lost? And are there objects of pure mathematics that can change through time? Mathematician and philosopher L.E.J. Brouwer argued that the two questions are closely related and that the answer to both is "yes''. To this end he introduced a new kind of object into mathematics, the choice sequence. But (...)
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  43. added 2014-03-15
    Review of R. Tieszen, Phenomenology, Logic, and the Philosophy of Mathematics[REVIEW]Carlo Ierna - 2007 - History and Philosophy of Logic 28 (2):173-174.
  44. added 2014-03-12
    Entities Without Identities Vs. Temporal Modalities of Choice.Gilbert Null - 2008 - Husserl Studies 24 (2):119-130.
  45. added 2014-03-10
    Book Review: Logic, Mathematics, and the Mind: A Critical Study of Richard Tieszen's Phenomenology, Logic, and the Philosophy of Mathematics. [REVIEW]Robert Hanna - 2009 - Notre Dame Journal of Formal Logic 50 (3):339-361.
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  46. added 2014-03-06
    Two Draft Letters From Godel on Self-Knowledge of Reason.M. van Atten - 2006 - Philosophia Mathematica 14 (2):255-261.
    In his text ‘The modern development of the foundations of mathematics in the light of philosophy’ from around 1961, Gödel announces a turn to Husserl's phenomenology to find the foundations of mathematics. In Gödel's archive there are two draft letters that shed some further light on the exact strategy that he formulated for himself in the early 1960s. Transcriptions of these letters are presented, together with some comments.
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  47. added 2014-03-04
    Phenomenology and Mathematics. [REVIEW]Carlo Ierna - 2011 - History and Philosophy of Logic 32 (4):399 - 400.
    History and Philosophy of Logic, Volume 32, Issue 4, Page 399-400, November 2011.
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  48. added 2014-02-10
    Towards a Phenomenological Mathematics.J. G. Fauvel - 1975 - Philosophy and Phenomenological Research 36 (1):16-24.
  49. added 2013-04-27
    Review of R. S. Tragesser, Husserl and Realism in Logic and Mathematics[REVIEW]John J. Drummond - 1985 - Review of Metaphysics 38 (4):913-916.
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  50. added 2013-03-18
    Matemática como Ciência mais Geral: Forma da Experiência e Categorias.Cassiano Terra Rodrigues - 2007 - Cognitio-Estudos.
    Este artigo tem como objetivo geral apresentar alguns aspectos básicos da filosofia da matemática de Charles Sanders Peirce, com o intuito de suscitar discussão posterior. Especificamente, são ressaltados: o lugar da matemática na classificação das ciências do autor; a diferença entre matemática e filosofia como cenoscopia; a relação entre as categorias da fenomenologia e matemática; o conceito de experiência e sua formalização possível; a distinção geral entre lógica, como parte da investigação filosófica, e matemática.
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