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101 found
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1 — 50 / 101
  1. added 2018-06-23
    Mathematical Conception of Husserl’s Phenomenology.Seung-Ug Park - 2016 - Idealistic Studies 46 (2):183-197.
    In this paper, I have attempted to make the role of mathematical thinking clear in Husserl’s theory of sciences. Husserl believed that phenomenology could afford to provide a safe foundation for individual sciences. Hence, the first task of the project was reorganizing the system of sciences and to show the possibility of apodictic knowledge regarding the world. Husserl was inspired by the progress of mathematics at that time because mathematics is the most logical discipline and deals with abstract objects. It (...)
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  2. added 2018-06-23
    Représentations. Husserl critique de Twardowski, in D. Fisette et al. (dir.) Aux origines de la phénoménologie.Denis Fisette - 2003 - In Aux origines de la phénoménologie. Husserl et le contexte des Recherches logiques. Paris: Vrin. pp. 61-92.
    Cet article traite du problème de l'imaginaire dans les mathématiques et du débat opposant Husserl à K. Twardowski sur les représentations sans objet.
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  3. added 2018-02-17
    The Phenomenological Spring: Husserl and the Göttingen Circle.Kimberly Baltzer-Jaray & Jeff Mitscherling - 2012 - Symposium 16 (2):1-19.
    The article discusses research work of Heinrich Hofmann, who has completed doctoral studies in mathematics under Karl Weierstrass in Berlin. His first book "Philosophy of Arithmetic: Psychological and Logical Investigations With Supplementary Texts From 1887-1901" contains his thesis "In the Concept of Number: Psychological Analyses" completed in the guidance of Weierstrass.
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  4. added 2017-11-19
    Mathematics and Its Applications, A Transcendental-Idealist Perspective.Jairo Da Silva - 2017 - Springer.
    This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what (...)
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  5. added 2017-11-19
    The First Gestures of Knowledge.Pierre Kerszberg - 2014 - Tijdschrift Voor Filosofie 76 (2):277-306.
    Husserl credited Riemann for bringing the modern idea of “mathesis universalis‘ to its realization. Going beyond the logical ideal of a theory of all possible forms of theories, this paper explores the phenomenological sense of intrinsically physical geometry. Starting from Kant, how can we follow the thread of transcendental idealism in the search for the hidden presuppositions of this kind of geometry? This is achieved by reflecting on the paradigmatic experience of the earth at rest in our primary lifeworld.
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  6. added 2017-09-16
    Proof Phenomenon as a Function of the Phenomenology of Proving.Inês Hipólito - 2015 - Progress in Biophysics and Molecular Biology 119:360-367.
    Kurt Gödel wrote (1964, p. 272), after he had read Husserl, that the notion of objectivity raises a question: “the question of the objective existence of the objects of mathematical intuition (which, incidentally, is an exact replica of the question of the objective existence of the outer world)”. This “exact replica” brings to mind the close analogy Husserl saw between our intuition of essences in Wesensschau and of physical objects in perception. What is it like to experience a mathematical proving (...)
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  7. added 2017-09-04
    The Ontology of Reference: Studies in Logic and Phenomenology.Barry Smith - 1976 - Dissertation, Manchester
    Abstract: We propose a dichotomy between object-entities and meaning-entities. The former are entities such as molecules, cells, organisms, organizations, numbers, shapes, and so forth. The latter are entities such as concepts, propositions, and theories belonging to the realm of logic. Frege distinguished analogously between a ‘realm of reference’ and a ‘realm of sense’, which he presented in some passages as mutually exclusive. This however contradicts his assumption elsewhere that every entity is a referent (even Fregean senses can be referred to (...)
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  8. added 2017-03-27
    The Shape of Things.Rajiv Kaushik - 2016 - Chiasmi International 18:313-331.
    This paper begins by pointing to an obvious difficulty in Merleau-Ponty’s late philosophy: undoing the decisive separation between linguistic connotation and the denotated, undoing the decisive separation between linguistic meaning and the sensible world. This difficulty demands that we understand how the sensible and the symbolic have a sort of spontaneous relation. How can this be? The history of this problem is then traced back to Husserl, and in particular to his The Origin of Geometry. For Husserl, ‘abstract geometry’ is (...)
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  9. added 2016-12-08
    From Geometry to Phenomenology.Mirja Hartimo - 2008 - Synthese 162 (2):225-233.
    Richard Tieszen [Tieszen, R. (2005). Philosophy and Phenomenological Research, LXX(1), 153–173.] has argued that the group-theoretical approach to modern geometry can be seen as a realization of Edmund Husserl’s view of eidetic intuition. In support of Tieszen’s claim, the present article discusses Husserl’s approach to geometry in 1886–1902. Husserl’s first detailed discussion of the concept of group and invariants under transformations takes place in his notes on Hilbert’s Memoir Ueber die Grundlagen der Geometrie that Hilbert wrote during the winter 1901–1902. (...)
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  10. added 2016-12-08
    Claire Ortiz Hill and Guillermo E. Rosado Haddock: Husserl or Frege? Meaning, Objectivity, and Mathematics. [REVIEW]V. Pallares Vega Ivonne - 2003 - Husserl Studies 19 (2):179-191.
  11. added 2016-12-08
    Husserl and the Infinite.Carlo Ierna - 2003 - Studia Phaenomenologica 3 (1):179-192.
    In the article Husserl’s view of the infinite around 1890 is analysed. I give a survey of his mathematical background and other important influences (especially Bolzano). The article contains a short exposition on Husserl's distinction between proper and symbolic presentations in the "Philosophie der Arithmetik" and between finite and infinite symbolic collections. Subsequently Husserl’s conception of surrogate presentations in his treatise "Zur Logik der Zeichen (Semiotik)" is discussed. In this text Husserl gives a detailed account of infinity, using surrogate presentations. (...)
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  12. added 2016-12-08
    Husserl's Relevance for the Philosophy and Foundations of Mathematics.Guillermo E. Rosado Haddock - 1997 - Axiomathes 8 (1):125-142.
  13. added 2016-11-11
    The Reception of Russell’s Paradox in Early Phenomenology and the School of Brentano: The Case of Husserl’s Manuscript A I 35α.Carlo Ierna - 2016 - In Guillermo E. Rosado Haddock (ed.), Husserl and Analytic Philosophy. De Gruyter. pp. 119-142.
  14. added 2016-11-11
    Husserl’s Manuscript A I 35.Dieter Lohmar & Carlo Ierna - 2016 - In Guillermo E. Rosado Haddock (ed.), Husserl and Analytic Philosophy. De Gruyter. pp. 289-320.
  15. added 2016-09-18
    La constitution des idéalités est-elle une création? Pour Maurice Caveing.Dominique Pradelle - 2008 - Les Etudes Philosophiques (2):227-251.
    Le but de l'article est de cerner le sens précis du concept de constitution, central dans la pensée de Husserl, et ce afin de comprendre la portée ontologique de son idéalisme transcendantal: en quel sens s'agit-il d'un idéalisme? Le sujet constituant produit-il le sens et l'être des objets? On s'interroge d'abord sur le champ d'objets qui sert à Husserl de fil conducteur pour l'élaboration de ce concept: est-ce celui des objets immanents, des choses spatio-temporelles, ou des idéalités? Ayant montré que (...)
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  16. added 2016-07-24
    A Brentanian Philosophy of Arithmetic.D. Bell - 1989 - Brentano Studien 2:139-44.
  17. added 2016-05-07
    Husserl and Jacob Klein.Burt C. Hopkins - 2016 - The European Legacy 21 (5-6):535-555.
    The article explores the relationship between the philosopher and historian of mathematics Jacob Klein’s account of the transformation of the concept of number coincident with the invention of algebra, together with Husserl’s early investigations of the origin of the concept of number and his late account of the Galilean impulse to mathematize nature. Klein’s research is shown to present the historical context for Husserl’s twin failures in the Philosophy of Arithmetic: to provide a psychological foundation for the proper concept of (...)
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  18. added 2016-03-03
    Towards Completeness: Husserl on Theories of Manifolds 1890–1901.Mirja Hartimo - 2007 - Synthese 156 (2):281-310.
    Husserl’s notion of definiteness, i.e., completeness is crucial to understanding Husserl’s view of logic, and consequently several related philosophical views, such as his argument against psychologism, his notion of ideality, and his view of formal ontology. Initially Husserl developed the notion of definiteness to clarify Hermann Hankel’s ‘principle of permanence’. One of the first attempts at formulating definiteness can be found in the Philosophy of Arithmetic, where definiteness serves the purpose of the modern notion of ‘soundness’ and leads Husserl to (...)
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  19. added 2016-02-25
    I.—Review of Dr. E. Husserl's Philosophy of Arithmetic. [REVIEW]E. W. Kluge - 1972 - Mind 81 (323):321-337.
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  20. 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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  21. added 2015-10-31
    A Few Historical-Critical Glances on Mathematical Ontology Through the Hermann Weyl and Edmund Husserl Works.Giuseppe Iurato - manuscript
    From the general history of culture, with a particular attention turned towards the personal and intellectual relationships between Hermann Weyl and Edmund Husserl, it will be possible to identify certain historical-critical moments from which a philosophical reflection concerning aspects of the ontology of mathematics may be carried out. In particular, a notable epistemological relevance of group theory methods will stand out.
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  22. added 2015-10-19
    Dummett and the Problem of Abstract Objects.George Duke - 2013 - Teorema: International Journal of Philosophy 32 (1):61-75.
    One major difficulty confronting attempts to clarify the epistemological and ontological status of abstract objects is determining the sense, if any, in which such entities may be characterised as mind and language independent. Our contention is that the tolerant reductionist position of Michael Dummett can be strengthened by drawing on Husserl's mature account of the constitution of ideal objects and mathematical objectivity. According to the Husserlian position we advocate, abstract singular terms pick out weakly mind-independent sedimented meaning-contents. These meaning-contents serve (...)
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  23. added 2015-08-15
    Husserl and Hilbert on Completeness, Still.Jairo Jose da Silva - 2016 - Synthese 193 (6).
    In the first year of the twentieth century, in Gottingen, Husserl delivered two talks dealing with a problem that proved central in his philosophical development, that of imaginary elements in mathematics. In order to solve this problem Husserl introduced a logical notion, called “definiteness”, and variants of it, that are somehow related, he claimed, to Hilbert’s notions of completeness. Many different interpretations of what precisely Husserl meant by this notion, and its relations with Hilbert’s ones, have been proposed, but no (...)
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  24. added 2015-05-11
    Why and How Platonism?Guillermo Rosado Haddock - 2007 - Logic Journal of the IGPL 15 (5-6):621-636.
    Probably the best arguments for Platonism are those directed against its rival philosophies of mathematics. Frege's arguments against formalism, Gödel's arguments against constructivism and those against the so-called syntactic view of mathematics, and an argument of Hodges against Putnam are expounded, as well as some arguments of the author. A more general criticism of Quine's views follows. The paper ends with some thoughts on mathematics as a sort of Platonism of structures, as conceived by Husserl and essentially endorsed by the (...)
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  25. added 2015-05-06
    Die Bedeutung der Mathematik für die Philosophie Edmund Husserls.Bernold Picker - 1962 - Philosophia Naturalis 7 (3):266.
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  26. added 2015-04-20
    "o Ánthropos Arithmetízei": finitud intuitiva e infinitud simbólica en la Filosofía de la aritmética y la Crisis de Husserl.Rosmery Rizo-patrón - 2008 - Areté. Revista de Filosofía 20 (2):285-302.
    Desde su origen, la fenomenología de Husserl oscila entre una valoraciónpositiva del cálculo técnico, para compensar la limitada capacidad de losseres humanos, y una denuncia de la ceguera que su desarrollo extraordinarioha ocasionado respecto de la verdadera naturaleza del pensamiento científico yfilosófico, en su sentido de 8`(@H . Asimismo, respecto de la intuición, la fenomenologíaoscila entre una valoración positiva del carácter fundacional y auténticode las representaciones intuitivas básicas y la observación de su finitud radical.En esta ocasión exploramos algunos rasgos de (...)
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  27. added 2015-04-17
    Review of Dr. E. Husserl's Philosophy of Arithmetic. [REVIEW]Gottlob Frege - 1977 - In Jitendranath Mohanty (ed.), Mind. M. Nijhoff. pp. 6--21.
  28. added 2015-03-05
    Idealization in Mathematics: Husserl and Beyond.Guillermo Rosado Haddock - 2004 - Poznan Studies in the Philosophy of the Sciences and the Humanities 82:245-252.
    Husserl's contributions to the nature of mathematical knowledge are opposed to the naturalist, empiricist and pragmatist tendences that are nowadays dominant. It is claimed that mainstream tendences fail to distinguish the historical problem of the origin and evolution of mathematical knowledge from the epistemological problem of how is it that we have access to mathematical knowledge.
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  29. added 2015-02-20
    Marcus Giaquinto. Visual Thinking in Mathematics: An Epistemological Study. [REVIEW]Jeremy Avigad - 2009 - Philosophia Mathematica 17 (1):95-108.
    Published in 1891, Edmund Husserl's first book, Philosophie der Arithmetik, aimed to ‘prepare the scientific foundations for a future construction of that discipline’. His goals should seem reasonable to contemporary philosophers of mathematics: "…through patient investigation of details, to seek foundations, and to test noteworthy theories through painstaking criticism, separating the correct from the erroneous, in order, thus informed, to set in their place new ones which are, if possible, more adequately secured. 1"But the ensuing strategy for grounding mathematical knowledge (...)
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  30. added 2015-02-20
    J. Philip Miller, "Numbers in Presence and Absence: A Study of Husserl's Philosophy of Mathematics". [REVIEW]Walter Leszl - 1986 - Rivista di Storia Della Filosofia 41 (2):365.
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  31. added 2015-02-20
    J.P. Miller, "Numbers in Presence and Absence: A Study of Husserl's Philosophy of Mathematics". [REVIEW]D. Willard - 1984 - Husserl Studies 1 (1):124.
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  32. added 2015-02-20
    The Presence and Absence of Number in Husserl's Philosophy of Mathematics.James Philip Miller - 1980 - Dissertation, The Catholic University of America
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  33. added 2015-02-19
    Begründungen bei Bolzano und beim frühen Husserl.Stefania Centrone - 2011 - Zeitschrift für Philosophische Forschung 65 (1):5-27.
    Two hundred years ago Bernard Bolzano published a booklet on the philosophy of mathematics that is the first major step forward in this area since Pascal’s De l’esprit géométrique. Following Aristotelian lines Bolzano distinguishes in his opusculum two kinds of proofs, those that simply show that something is the case, and those that explain why something is the case. In his Wissenschaftslehre this contrast reappears as that between derivability and consecutivity . Husserl takes up some of Bolzano’s key concepts in (...)
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  34. added 2015-02-19
    La théorie des assomptions chez le jeune Husserl.Robert Brisart - 2009 - Philosophiques 36 (2):399-425.
    Afin de « sauver une existence » pour les objets dont il est question dans les représentations mathématiques, le jeune Husserl invente en 1894 une théorie des assomptions. Notre but est d’explorer cette théorie pour montrer en quoi elle constituait une alternative probante par rapport à l’ontologie réaliste et à la conception correspondantiste de la vérité. De celles-ci, pourtant, Husserl ne parviendra pas à se départir à l’époque, comme en témoigne la dichotomie qu’il opère entre la signification et la perception, (...)
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  35. added 2015-02-19
    Husserlian and Fichtean Leanings: Weyl on Logicism, Intuitionism, and Formalism.Norman Sieroka - 2009 - Philosophia Scientiae 13 (2):85-96.
    Around 1918 Hermann Weyl resisted the logicists’ attempt to reduce mathematics to logic and set theory. His philosophical points of reference were Husserl and Fichte. In the 1920s, Weyl distinguished between the position of these two philosophers and separated the conceptual affinity between intuitionism and phenomenology from the affinity between formalism and constructivism. Not long after Weyl had done so, Oskar Becker adopted a similar distinction. In contrast to the phenomenologist Becker, however, Weyl assumed the superiority of active Fichtean constructivism (...)
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  36. added 2015-02-19
    On the Semantics of Mathematical Statements/Sobre a Semântica Dos Enunciados Matemáticos.Guillermo Haddock - 2007 - Manuscrito 30 (2):317-340.
    Husserl developed – independently of Frege – a semantics of sense and reference. There are, however, some important differences, specially with respect to the references of statements. According to Husserl, an assertive sentence refers to a state of affairs, which was its basis what he called a situation of affairs. Situations of affairs could also be considered as an alternative referent for statements on their own right, although for Husserl they were simply a sort of referential basis. Both Husserlian states (...)
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  37. added 2015-02-17
    Internal Time-Consciousness and Transfinity.Cecile Therese Tougas - 1981 - Dissertation, Duquesne University
    The phenomenology of internal time-consciousness, as an analysis founded in part logic and expanded by the pure theory of transfinite continua, clarifies phenomenology as reflective philosophy in distinguishing the essence of comprehensive reflection, its ground, its temporality and its completion despite its possibility of infinite iteration, thus overcoming the Hegelian pronouncement that reflection must die in the ascendance of Reason's absolute identity in totality. ;Hegel acknowledges finite reflection as a part necessary to knowledge, but as nullified by unopposed Reason, which (...)
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  38. added 2014-06-20
    Husserl’s Philosophy of Arithmetic in Reviews.Carlo Ierna - 2013 - The New Yearbook for Phenomenology and Phenomenological Philosophy 12:198-242.
    This present collection of (translations of) reviews is intended to help obtain a more balanced picture of the reception and impact of Edmund Husserl’s first book, the 1891 Philosophy of Arithmetic. One of the insights to be gained from this non-exhaustive collection of reviews is that the Philosophy of Arithmetic had a much more widespread reception than hitherto assumed: in the present collection alone there already are fourteen, all published between 1891 and 1895. Three of the reviews appeared in mathematical (...)
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  39. added 2014-06-20
    La notion husserlienne de multiplicité : au-delà de Cantor et Riemann.Carlo Ierna - 2012 - Methodos. Savoirs Et Textes 12 (12).
    The concept of a Mannigfaltigkeit in Husserl has been given various interpretations, due to its shifting role in his works. Many authors have been misled by this term, placing it in the context of Husserl’s early period in Halle, while writing the Philosophy of Arithmetic, as a friend and colleague of Georg Cantor.Yet at the time, Husserl distanced himself explicitly from Cantor’s definition and rather took Bernhard Riemann as example, having studied and lectured extensively on Riemann’s theories of space. Husserl’s (...)
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  40. added 2014-06-20
    Der Durchgang Durch Das Unmögliche . An Unpublished Manuscript From the Husserl-Archives.Carlo Ierna - 2011 - Husserl Studies 27 (3):217-226.
    The article introduces and discusses an unpublished manuscript by Edmund Husserl, conserved at the Husserl-Archives Leuven with signature K I 26, pp. 73a–73b. The article is followed by the text of the manuscript in German and in an English translation. The manuscript, titled “The Transition through the Impossible” ( Der Durchgang durch das Unmögliche ), was part of the material Husserl used for his 1901 Doppelvortrag in Göttingen. In the manuscript, the impossible is characterized as the “sphere of objectlessness” ( (...)
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  41. added 2014-05-10
    J. Phillip Miller., Numbers in Presence and Absence: A Study of Husserl's Philosophy of Mathematics.Gary Benjamin Wyner - 1989 - International Studies in Philosophy 21 (1):103-104.
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  42. added 2014-04-04
    Book Review. Richard Tieszen, Mathematical Intuition: Phenomenology and Mathematical Knowledge. [REVIEW]D. van Dalen - 1994 - Husserl Studies 10 (3):249-252.
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  43. added 2014-04-03
    Intuition and Its Object.Kai Hauser - 2015 - Axiomathes 25 (3):253-281.
    The view that mathematics deals with ideal objects to which we have epistemic access by a kind of perception has troubled many thinkers. Using ideas from Husserl’s phenomenology, I will take a different look at these matters. The upshot of this approach is that there are non-material objects and that they can be recognized in a process very closely related to sense perception. In fact, the perception of physical objects may be regarded as a special case of this more universal (...)
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  44. added 2014-04-03
    Bespr. Van: Husserl or Frege? Meaning, Objectivity, and Mathematics (Claire Ortiz Hill and Guillermo E. Rosado Haddock).Markus Van Atten - 2003 - Philosophia Mathematica 11 (2):241-244.
  45. added 2014-04-03
    Claire Ortiz Hill and Guillenno E. Rosado Haddock, Husserl or Frege? Meaning, Objectivity, and Mathematics Reviewed By.Mary Leng - 2002 - Philosophy in Review 22 (5):325-327.
  46. added 2014-04-03
    The Road Not Taken. On Husserl's Philosophy of Logic and Mathematics.Claire Ortiz Hill & Jairo Jose da Silva (eds.) - 1997 - College Publications.
  47. added 2014-04-02
    Stefania Centrone: Logic and Philosophy of Mathematics in the Early Husserl. [REVIEW]Carlo Ierna - 2013 - Husserl Studies 29 (3):251-253.
  48. added 2014-03-29
    Beyond Leibniz : Husserl's Vindication of Symbolic Knowledge.Jairo José da Silva - 2010 - In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer.
  49. added 2014-03-29
    Husserl on Axiomatization and Arithmetic.Claire Ortiz Hill - 2010 - In Mirja Hartimo (ed.), Phenomenology and Mathematics. Springer.
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  50. added 2014-03-29
    Frege's Attack on Husserl and Cantor.Claire Oritz Hill - 1994 - The Monist 77 (3):345-357.
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