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  1. Rudolf Bernet (2000). Diversos conseptos de la lógica y su relación con la subjetividad. Signos Filosóficos 4:39-54.
    "Diversos conceptos de la lógica y su relación con la subjetividad" Este ensayo considera el segundo volumen de las Investigaciones Lógicas: los Prolegómena acerca de la Lógica pura. La importancia de esta obra husserliana radica, por un lado en revelar los intentos titubeantes del autor por acercar la lógica a la psicologí­a descriptiva en el contexto del debate del psicologismo lógico, y por otro, en resaltar el papel de la Lógica -en todas sus configuraciones, esto es, no sólo para la (...)
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  2. Luca Bisin (2006). La Fenomenologia Come Critica Della Ragione: Motivi Kantiani Nel Razionalismo di Husserl. Mimesis.
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  3. Pierre Cassou-Noguès (2007). The Two-Sidedness and the Rationalistic Ideal of Formal Logic: Husserl and Gödel. In Luciano Boi, Pierre Kerszberg & Frédéric Patras (eds.), Rediscovering Phenomenology: Phenomenological Essays on Mathematical Beings, Physical Reality, Perception and Consciousness (Phaenomenologica) (English and French Edition). Springer. 309-338.
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  4. Peter J. Cataldo (1987). Husserl on Galileo's Intentionality. The Thomist 51 (4):680-698.
  5. Stefania Centrone (2014). Richard Tieszen, After Gödel. Platonism and Rationalism in Mathematics and Logic. [REVIEW] Husserl Studies 30 (2):153-162.
    It is well known that Husserl, together with Plato and Leibniz, counted among Gödel’s favorite philosophers and was, in fact, an important source and reference point for the elaboration of Gödel’s own philosophical thought. Among the scholars who emphasized this connection we find, as Richard Tieszen reminds us, Gian-Carlo Rota, George Kreisel, Charles Parsons, Heinz Pagels and, especially, Hao Wang. Right at the beginning of After Gödel we read: “The logician who conducted and recorded the most extensive philosophical discussions with (...)
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  6. Alexei Chernyakov (1997). Husserl's "Genealogy of Logic", Space-Constitution, and Noetic Geometry. Recherches Husserliennes 7:61-86.
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  7. Jairo da Silva (2000). The Many Senses of Completeness. Manuscrito 23 (2):41-60.
    In this paper I study the variants of the notion of completeness Husserl pre-sented in “Ideen I” and two lectures he gave in Göttingen in 1901. Introduced primarily in connection with the problem of imaginary numbers, this notion found eventually a place in the answer Husserl provided for the philosophically more im-portant problem of the logico-epistemological foundation of formal knowledge in sci-ence. I also try to explain why Husserl said that there was an evident correlation between his and Hilbert’s notion (...)
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  8. Richard A. Feist (1999). Hermann Weyl's Mathematics, Science and Phenomenology. Dissertation, The University of Western Ontario (Canada)
    The work addresses the problem of the relationship between science and philosophy in the work of Hermann Weyl. The author begins by discussing Weylls Gottingen tradition. Contrary to standard accounts of this tradition, Edmund Husserl and Georg Cantor are included. The influence of this tradition on Weyl is then illustrated by an examination of Weyl's early philosophy of mathematics. Here Weyl attempts to use Husserl's early phenomenology to amalgamate the thought of Felix Klein, David Hilbert and Cantor. Weyl's "phenomenological period," (...)
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  9. Guillermo E. Rosado Haddock (2012). Husserl's Conception of Physical Theories and Physical Geometry in the Time of the Prolegomena: A Comparison with Duhem's and Poincaré's Views. Axiomathes 22 (1):171-193.
    This paper discusses Husserl’s views on physical theories in the first volume of his Logical Investigations, and compares them with those of his contemporaries Pierre Duhem and Henri Poincaré. Poincaré’s views serve as a bridge to a discussion of Husserl’s almost unknown views on physical geometry from about 1890 on, which in comparison even with Poincaré’s—not to say Frege’s—or almost any other philosopher of his time, represented a rupture with the philosophical tradition and were much more in tune with the (...)
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  10. Mirja Helena Hartimo (2007). Towards Completeness: Husserl on Theories of Manifolds 1890–1901. 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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  11. Claire Hill (2000). Husserl, Frege and 'the Paradox'. Manuscrito 23 (2):101-132.
    In letters that Husserl and Frege exchanged during late 1906 and early 1907, when it is thought that Frege abandoned his attempts to solve Russell's paradox, Husserl expressed his views about the "paradox". Studied here are three deep-rooted differences between their approaches to pure logic present beneath the surface in these letters. These differences concern Husserl's ideas about avoiding paradoxical consequences by shunning three potentially para-dox producing practices. Specifically, he saw the need for: 1) correctly drawing the line between meaning (...)
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  12. Claire Ortiz Hill (2004). Abstraction and Idealization in Edmund Husserl and Georg Cantor Prior to 1895. 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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  13. Claire Ortiz Hill (2002). Tackling Three of Frege's Problems: Edmund Husserl on Sets and Manifolds. [REVIEW] Axiomathes 13 (1):79-104.
    Edmund Husserl was one of the very first to experience the direct impact of challenging problems in set theory and his phenomenology first began to take shape while he was struggling to solve such problems. Here I study three difficulties associated with Frege's use of sets that Husserl explicitly addressed: reference to non-existent, impossible, imaginary objects; the introduction of extensions; and 'Russell's paradox'.I do so within the context of Husserl's struggle to overcome the shortcomings of set theory and to develop (...)
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  14. Claire Ortiz Hill (1997). Did Georg Cantor Influence Edmund Husserl? Synthese 113 (1):145-170.
    Few have entertained the idea that Georg Cantor, the creator of set theory, might have influenced Edmund Husserl, the founder of the phenomenological movement. Yet an exchange of ideas took place between them when Cantor was at the height of his creative powers and Husserl in the throes of an intellectual struggle during which his ideas were particularly malleable and changed considerably and definitively. Here their writings are examined to show how Husserl's and Cantor's ideas overlapped and crisscrossed in the (...)
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  15. Burt C. Hopkins (2006). Husserl's Psychologism, and Critique of Psychologism, Revisited. Husserl Studies 22 (2):91-119.
  16. Vanessa Huerta Donado (2014). Edmund Husserl: Del rigor matemático al preguntar filosófico. Eidos 21:127-146.
    Nadie puede negar que la figura de Edmund Husserl constituye la llave de acceso para el horizonte filosófico de nuestro tiempo, tanto en su versión continental como analítica. Pero ¿en qué medida un mismo planteamiento pudo dar suelo y sustento al despliegue de corrientes tan distintas? Aunque mucho se ha trabajado ya para desembrollar el renovado sentido que filosofía y ciencia adquieren en su propuesta, el camino que siguió para llegar a esas conclusiones todavía no goza de suficiente claridad. Por (...)
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  17. Justin Humphreys (2014). Husserl's Archaeology of Exact Science. Husserl Studies 30 (2):101-127.
    Why is nature amenable to mathematical description? This question has received attention in the philosophy of science but rarely from a phenomenological perspective. Nevertheless Husserl’s late essay “The Origin of Geometry,” which has received some critical scholarly attention in recent years, contains the beginning of a striking answer. This answer proceeds from Husserl’s main claim in that essay, which he also makes in the Crisis of the European Sciences, that the original meaning of science has been covered over or “sedimented” (...)
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  18. Carlo Ierna (2014). Burt C. Hopkins. The Origin of the Logic of Symbolic Mathematics: Edmund Husserl and Jacob Klein. Studies in Continental Thought. Bloomington: University of Indiana Press, 2011. ISBN 978-0-253-35671-0 (Hbk). Pp. Xxxi + 559. [REVIEW] Philosophia Mathematica 22 (2):249-262.
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  19. Pierre Kerszberg (2007). Perseverance and Adjustment: On Weyl's Phenomenological Philosophy of Nature. In Luciano Boi, Pierre Kerszberg & Frédéric Patras (eds.), Rediscovering Phenomenology: Phenomenological Essays on Mathematical Beings, Physical Reality, Perception and Consciousness (Phaenomenologica) (English and French Edition). Springer. 173-194.
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  20. Ted Klein (2010). "Essences and Experts",: Husserl's View of the Foundation of the Sciences. In Thomas Nenon & Lester Embree (eds.), Issues in Husserl's Ii.
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  21. Ladislav Kvasz (2009). Matematika a Skúsenosť. Organon F 16 (2):146-182.
    Mathematics is traditionally considered being an apriori discipline consisting of purely analytic propositions. The aim of the present paper is to offer arguments against this entrenched view and to draw attention to the experiential dimension of mathematical knowledge. Following Husserl’s interpretation of physical knowledge as knowledge constituted by the use of instruments, I am trying to interpret mathematical knowledge also as acknowledge based on instrumental experience. This interpretation opens a new view on the role of the logicist program, both in (...)
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  22. Giuseppe Longo (2007). Mathematical Concepts and Physical Objects. In Luciano Boi, Pierre Kerszberg & Frédéric Patras (eds.), Rediscovering Phenomenology: Phenomenological Essays on Mathematical Beings, Physical Reality, Perception and Consciousness (Phaenomenologica) (English and French Edition). Springer. 195-228.
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  23. Ulrich Majer (2009). Husserl Between Frege's Logicism And Hilbert's Formalism. The Baltic International Yearbook of Cognition, Logic and Communication 4 (1):4.
    The traditional view regarding the philosophy of mathematics in the twentieth century is the dogma of three schools: Logicism, Intuitionism and Formalism. The problem with this dogma is not, at least not first and foremost, that it is wrong, but that it is biased and essentially incomplete. 'Biased' because it was formulated by one of the involved parties, namely the logical empiricists - if I see it right - in order to make their own position look more agreeable by comparison (...)
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  24. Giorgio Rizzo (2004). Logica Formale E Trascendentale in Edmund Husserl. Idee 56:129-148.
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  25. Giuseppina Ronzitti (2008). Review of R. Tieszen, Phenomenology, Logic, and the Philosophy of Mathematics. [REVIEW] Philosophia Mathematica 16 (2):264-276.
    Richard Tieszen's new book1 is a collection of fifteen articles and reviews, spanning fifteen years, presenting the author's approach to philosophical questions about logic and mathematics from the point of view of phenomenology, as developed by Edmund Husserl in the later phase2 of his philosophical thinking known as transcendental phenomenology, starting in 1907 with the Logical Investigations and characterized by the introduction of the notions of ‘reduction’. Husserlian transcendental phenomenology as philosophy of mathematics is described as one that ‘cuts across’ (...)
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  26. B. Smith (1989). Logic and Formal Ontology. In Husserl’s Phenomenology: A Textbook. University Press of America.
    The current resurgence of interest in cognition and in the nature of cognitive processing has brought with it also a renewed interest in the early work of Husserl, one of the most sustained attempts to come to grips with the problems of logic from a cognitive point of view. Logic, for Husserl, is a theory of science; but it is a theory which takes seriously the idea that scientific theories are constituted by the mental acts of cognitive subjects. The present (...)
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  27. Barry Smith (2000). Logic and Formal Ontology. Manuscrito 23 (2):29-67.
    Revised version of chapter in J. N. Mohanty and W. McKenna (eds.), Husserl’s Phenomenology: A Textbook, Lanham: University Press of America, 1989, 29–67. -/- Logic for Husserl is a science of science, a science of what all sciences have in common in their modes of validation. Thus logic deals with universal laws relating to truth, to deduction, to verification and falsification, and with laws relating to theory as such, and to what makes for theoretical unity, both on the side of (...)
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  28. Barry Smith (1992). Sachverhalt. In Historisches Wörterbuch der Philosophie, Volume 8. 1102–1113.
    Both ‘Sachverhalt’ and ‘state of affairs’ seem to have been derived from the juridical ‘status’ in the sense of 'status rerum' meaning: state or constitution of things. ‘Status’ signifies also in an extended sense ‘the way things stand, the condition or peculiarity of a thing in regard to its circumstances, position, order’. We describe the history of usage of ‘Sachverhalt’ from these beginnings, addressing the role of Goclenius, Lotze, Stumpf, Husserl and Adolf Reinach, whose theory of the relations between judgment (...)
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  29. Barry Smith (1975). Ontogenesis of Mathematical Objects. Journal of the British Society for Phenomenology 6 (2):91-101.
    Mathematical objects are divided into (1) those which are autonomous, i.e., not dependent for their existence upon mathematicians’ conscious acts, and (2) intentional objects, which are so dependent. Platonist philosophy of mathematics argues that all objects belong to group (1), Brouwer’s intuitionism argues that all belong to group (2). Here we attempt to develop a dualist ontology of mathematics (implicit in the work of, e.g., Hilbert), exploiting the theories of Meinong, Husserl and Ingarden on the relations between autonomous and intentional (...)
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  30. Mark C. R. Smith (2012). Review of R. Tieszen, After Gödel: Platonism and Rationalism in Mathematics and Logic. [REVIEW] Journal of the History of Philosophy 50 (2):303-304.
  31. Gao Song (2011). The Nature of Assertoric-Force and the Truth in Logic: An Elucidation of Fregean Truth in the Light of Husserl's Theory of Doxic-Modification. Organon F 18 (4):423-446.
    The unique relation between logic and truth is crucial for understanding Fregean conception of logic. Frege has an insight that the nature of logic resides in the “truth“, which he finally locates in the assertoric-force of a sentence. Though Frege admits that assertoric-force is ineffable in ordinary language, he coins in his conceptual notation for such a force a much-disputed sign, i.e., judgment-stroke. In this paper, I will try to demonstrate that judgment-stroke is not adequate for the task its inventor (...)
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Husserl: Philosophy of Logic
  1. Mark Atten (2005). Edmund Husserl, Logik. Vorlesung 1902/03, Hg. Von Elisabeth Schuhmann. Husserl Studies 21 (2):145-148.
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  2. Suzanne Bachelard (1968). A Study of Husserl's Formal and Transcendental Logic. Evanston [Ill.]Northwestern University Press.
    Translator's Preface LA LOGIQUE DE HUSSERL, etude sur "Logique for- melle et logique transcendentale" the original of the present translation, was published ...
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  3. Gary Banham (ed.) (2005). Husserl and the Logic of Experience. Palgrave Macmillan.
    Husserl and the Logic of Experience includes both detailed work on particular aspects of logical theory (such as an inquiry into the status of the principle of excluded middle) and also detailed investigations into the nature of the logic of temporal conceptions. Demonstrating the cultural import of Husserl's work while also showing its continuing significance for logical theory, this collection is a milestone in the study of transcendental phenomenology.
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  4. Bruce Bégout (2001). Le réverbération logique. La phénoménologie des «Prolégomènes à la logique pure» de Husserl. Revue Philosophique De Louvain 99 (4):564-592.
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  5. Rudolf Bernet (1981). Logik und phänomenologie in husserls lehre Von der wahrheit. Tijdschrift Voor Filosofie 43 (1):35 - 89.
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  6. Christian Beyer (2004). Bolzano and Husserl on Singular Existential Statements. In Arkadiusz Chrudzimski & Wolfgang Huemer (eds.), Phenomenology and Analysis: Essays on Central European Philosophy. Ontos.
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  7. Luciano Boi (2004). Questions Regarding Husserlian Geometry and Phenomenology. A Study of the Concept of Manifold and Spatial Perception. Husserl Studies 20 (3):207-267.
  8. Stefania Centrone (2013). Aspekte des Psychologismus-Streits: Husserl und Frage über Anzahlen und logische Gesetze. In , Versuche über Husserl. Meiner.
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  9. Stefania Centrone (2011). Functions in Frege, Bolzano and Husserl. History and Philosophy of Logic 31 (4):315-336.
    This explorative article is organized around a set of questions concerning the concept of a function. First, a summary of certain general facts about functions that are a common coin in contemporary logic is given. Then Frege's attempt at clarifying the nature of functions in his famous paper Function and Concept and in his Grundgesetze is discussed along with some questions which Freges' approach gave rise to in the literature. Finally, some characteristic uses of functional notions to be found in (...)
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  10. Raul Corazzon, Edmund Husserl: Formal Ontology and Transcendental Logic.
    "Husserl's work include lengthy treatment of universals, categories, meanings, numbers, manifolds, etc. from an ontological perspective. Here, however, we shall concentrate almost exclusively on the Logical Investigations, which contain in a clear form the ontological ideas which provided the terminological and theoretical basis both for much of the detailed phenomenological description and for many of the metaphysical theses presented in Husserl's later works.
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  11. Frederick James Crosson (1962). Formal Logic and Formal Ontology in Husserl's Phenomenology. Notre Dame Journal of Formal Logic 3 (4):259-269.
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  12. Vicente Muñoz Delgado (1992). Sobre la Obra Filosófica de Juan David García Bacca. Theoria 7 (1/2/3):1325-1352.
    In this piece of work we considerer mathematical logic as a whole. The three steps distinguished by Husserl, to wit, pure logic grammar, logic of the non-contradiction and logic of the truth, are analysed. They are applied to the logistics by distinguishing different levels and layers. In each level the logistics methods and its correspondence with the formal ontology inside the philosophical phenomenology are taken into account. The subject is completed explaining the axiomatic as well as the Greek life in (...)
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  13. James Dodd (2009). La passivité de la logique. Methodos 9.
    Quel est le chemin qui, chez Husserl, nous mène de la logique formelle à celle transcendantale? S’agit-il de la voie kantienne qui va de la “logique générale” à celle “transcendantale” ou le caractère mathématique de la logique moderne interdit que celle-ci puisse jouer le rôle de “fil conducteur transcendantal”? Dans cet article, à la lumière de ce que l’on pourrait appeler la réciprocité entre passivité et logique, on avance la thèse selon laquelle c’est justement la logique mathématique qui pour Husserl (...)
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  14. Shaun Gallagher (1992). Book Review: Quentin Smith, The Felt Meanings of the World. [REVIEW] Husserl Studies 9 (2):134-138.
  15. Leila Haaparanta (1988). Analysis as the Method of Logical Discovery: Some Remarks on Frege and Husserl. Synthese 77 (1):73 - 97.
  16. Guillermo E. Rosado Haddock (2008). Elisabeth Schuhmann (Ed.), Review of Edmund Husserl, Alte Und Neue Logik: Vorlesungen 1908/09. [REVIEW] Husserl Studies 24 (2):141-148.
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  17. Guillermo E. Rosado Haddock (2008). Husserl on Analyticity and Beyond. Husserl Studies 24 (2):131-140.
    Quine’s criticism of the notion of analyticity applies, at best, to Carnap’s notion, not to those of Frege or Husserl. The failure of logicism is also the failure of Frege’s definition of analyticity, but it does not even touch Husserl’s views, which are based on logical form. However, some relatively concrete number-theoretic statements do not admit such a formalization salva veritate. A new definition of analyticity based not on syntactical but on semantical logical form is proposed and argued for.
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  18. Robert Hanna (2008). Husserl's Arguments Against Logical Psychologism (Prolegomena, §§ 17–61). In Verena Mayer (ed.), Edmund Husserl: Logische Untersuchungen. 27-42.
    According to Edmund Husserl in the Prolegomena to Pure Logic,<span class='Hi'></span> which constitutes the preliminary rational foundation for <span class='Hi'></span>– and also the entire first volume of <span class='Hi'></span>– his Logical Investigations,<span class='Hi'></span> pure logic is the a priori theoretical,<span class='Hi'></span> nomological science of <span class='Hi'></span>„demonstration“<span class='Hi'></span> (LI 1,<span class='Hi'></span> 57;<span class='Hi'></span> Hua XVIII,<span class='Hi'></span> 23)<span class='Hi'></span>.1 For him,<span class='Hi'></span> demonstration includes both consequence and provability.<span class='Hi'></span> Consequence is the defining property of all and only formally valid arguments,<span class='Hi'></span> i.<span (...)
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  19. M. Hartimo (2010). Stefania Centrone. Logic and Philosophy of Mathematics in the Early Husserl. Synthese Library 345. Dordrecht: Springer, 2010. Pp. Xxii + 232. ISBN 978-90-481-3245-. [REVIEW] Philosophia Mathematica 18 (3):344-349.
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