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  1. Husserl's Phenomenological Theory of Intuition.Chad Kidd - 2014 - In Linda Osbeck & Barbara Held (eds.), Rational Intuition. Cambridge University Press. pp. 131-150.
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  • 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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  • Syntactic reduction in Husserl’s early phenomenology of arithmetic.Mirja Hartimo & Mitsuhiro Okada - 2016 - Synthese 193 (3):937-969.
    The paper traces the development and the role of syntactic reduction in Edmund Husserl’s early writings on mathematics and logic, especially on arithmetic. The notion has its origin in Hermann Hankel’s principle of permanence that Husserl set out to clarify. In Husserl’s early texts the emphasis of the reductions was meant to guarantee the consistency of the extended algorithm. Around the turn of the century Husserl uses the same idea in his conception of definiteness of what he calls “mathematical manifolds.” (...)
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  • Edmund Husserl.Christian Beyer - 2003 - Stanford Encyclopedia of Philosophy.
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  • Strenge Beweise und das Verbot der metábasis eis állo génos : Eine Untersuchung zu Bernard Bolzanos Beyträgen zu einer begründeteren Darstellung der Mathematik.Stefania Centrone - 2012 - History and Philosophy of Logic 33 (1):1 - 31.
    In his booklet "Contributions to a better founded presentation of mathematics" of 1810 Bernard Bolzano made his first serious attempt to explain the notion of a rigorous proof. Although the system of logic he employed at that stage is in various respects far below the level of the achievements in his later Wissenschaftslehre, there is a striking continuity between his earlier and later work as regards the methodological constraints on rigorous proofs. This paper tries to give a perspicuous and critical (...)
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  • 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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  • Functions in Frege, Bolzano and Husserl.Stefania Centrone - 2010 - 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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  • Hilbert mathematics versus (or rather “without”) Gödel mathematics: V. Ontomathematics!Vasil Penchev - 2024 - Metaphysics eJournal (Elsevier: SSRN) 17 (10):1-57.
    The paper is the final, fifth part of a series of studies introducing the new conceptions of “Hilbert mathematics” and “ontomathematics”. The specific subject of the present investigation is the proper philosophical sense of both, including philosophy of mathematics and philosophy of physics not less than the traditional “first philosophy” (as far as ontomathematics is a conservative generalization of ontology as well as of Heidegger’s “fundamental ontology” though in a sense) and history of philosophy (deepening Heidegger’s destruction of it from (...)
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  • Husserl’s Theory of Scientific Explanation: A Bolzanian Inspired Unificationist Account.Heath Williams & Thomas Byrne - 2022 - Husserl Studies 38 (2):171-196.
    Husserl’s early picture of explanation in the sciences has never been completely provided. This lack represents an oversight, which we here redress. In contrast to currently accepted interpretations, we demonstrate that Husserl does not adhere to the much maligned deductive-nomological (DN) model of scientific explanation. Instead, via a close reading of early Husserlian texts, we reveal that he presents a unificationist account of scientific explanation. By doing so, we disclose that Husserl’s philosophy of scientific explanation is no mere anachronism. It (...)
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  • Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy.José Antonio Pérez-Escobar & Deniz Sarikaya - 2021 - European Journal for Philosophy of Science 12 (1):1-22.
    In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general. We also stress the “purer” components of applied mathematics, like the theory of the models that are concerned with practical purposes. We further show that some mathematical theories can be viewed through either a pure or applied lens. These different lenses are tied to different communities, which endorse (...)
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  • Conteo, cardinalidad y equinumerosidad: motivos para una revisión crítica de las objeciones de Husserl a Frege en "Filosofía de la Aritmética".Luis Alberto Canela Morales - forthcoming - Filosofia Unisinos:1-13.
    En el apartado Freges Versuch, incluido en Filosofía de la aritmética, Husserl abiertamente señala que en los Fundamentos de la aritmética de G. Frege no existe un análisis lógico adecuado del concepto de número en términos de equinumerosidad. Según Husserl, la caracterización de Frege del concepto de número cardinal, en estrecha conexión con la noción de correspondencia uno- a-uno, es errónea. El objetivo principal de este artículo es mostrar que esta interpretación de Husserl sobre la obra de Frege, específicamente en (...)
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  • Husserlian Essentialism.Nicola Spinelli - 2021 - Husserl Studies 37 (2):147-168.
    Husserl’s official account of essence is modal. It is also, I submit, incompatible with the role that essence is supposed to play, especially relative to necessity, in his overall philosophy. In the Husserlian framework, essence should rather be treated as a non-modal notion. The point, while not generally acknowledged, has been made before (by Kevin Mulligan for one); yet the arguments given for it, though perhaps sound, are not Husserlian. In this paper I present a thoroughly Husserlian argument for that (...)
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  • Copula is an intuitive predicate of consciousness on fulfilment of knowing and judging acts.Kiran Pala - 2020 - Humanit Soc Sci Commun 121 (7).
    The recent investigations into knowledge and its elements viz facts, skills and objects have become prominent in various subfields of philosophy and other areas like linguistics, cognitive science, neuroscience and artificial intelligence. These investigations have been mainly on understanding the relation between the intentionality and its referential entities to know how they enrich knowledge with their existence. This article starts with an exploration of the fundamental aspects of judgemental sense from the knowledge origins perspective. To explain the consequences of this, (...)
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  • Husserl, Model Theory, and Formal Essences.Kyle Banick - 2020 - Husserl Studies 37 (2):103-125.
    Husserl’s philosophy of mathematics, his metatheory, and his transcendental phenomenology have a sophisticated and systematic interrelation that remains relevant for questions of ontology today. It is well established that Husserl anticipated many aspects of model theory. I focus on this aspect of Husserl’s philosophy in order to argue that Thomasson’s recent pleonastic reconstruction of Husserl’s approach to essences is incompatible with Husserl’s philosophy as a whole. According to the pleonastic approach, Husserl can appeal to essences in the absence of a (...)
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  • Collections in Early Bolzano.Stefania Centrone & Mark Siebel - 2018 - Journal for the History of Analytical Philosophy 6 (7).
    There are quite a few studies on late Bolzano’s notion of a collection (Inbegriff). We try to broaden the perspective by introducing the forerunner of collections in Bolzano’s early writings, namely the entities referred to by expressions with the technical term ‘et’. Special emphasis is laid on the question whether these entities are set-theoretical or mereological plenties. Moreover, similarities and differences to Bolzano’s mature conception are pointed out.
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  • Husserl on Meaning, Grammar, and the Structure of Content.Matteo Bianchin - 2018 - Husserl Studies 34 (2):101-121.
    Husserl’s Logical Grammar is intended to explain how complex expressions can be constructed out of simple ones so that their meaning turns out to be determined by the meanings of their constituent parts and the way they are put together. Meanings are thus understood as structured contents and classified into formal categories to the effect that the logical properties of expressions reflect their grammatical properties. As long as linguistic meaning reduces to the intentional content of pre-linguistic representations, however, it is (...)
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  • (1 other version)Toward a Phenomenological Epistemology of Mathematical Logic.Manuel Gustavo Isaac - 2018 - Synthèse: An International Journal for Epistemology, Methodology and Philosophy of Science 195 (2):863-874.
    This paper deals with Husserl’s idea of pure logic as it is coined in the Logical Investigations. First, it exposes the formation of pure logic around a conception of completeness ; then, it presents intentionality as the keystone of such a structuring ; and finally, it provides a systematic reconstruction of pure logic from the semiotic standpoint of intentionality. In this way, it establishes Husserlian pure logic as a phenomenological epistemology of mathematical logic.
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  • Widersinn in Husserl’s Pure Logic.Manuel Gustavo Isaac - 2016 - Logica Universalis 10 (4):419-430.
    The purpose of this paper is to provide a unitary typology for the incompatibilities of meanings at stake on different levels of Husserlian pure logic—namely, between systems of axioms and pure morphology of meanings; I show that they perfectly match by converging on the notion of Widersinn.
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  • The Origin of the Logic of Symbolic Mathematics. Edmund Husserl and Jacob Klein. [REVIEW]Stefania Centrone - 2013 - History and Philosophy of Logic 34 (2):187-193.
    Burt C. Hopkins, The Origin of the Logic of Symbolic Mathematics. Edmund Husserl and Jacob Klein. Bloomington and Indianapolis: Indiana University Press. 2011. 592 pp. $49.95. ISBN 978-0-253-35671-...
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  • Husserl: ¿Fenomenología de la matemática?Miguel Hernando Guamanga - 2021 - Eidos: Revista de Filosofía de la Universidad Del Norte 36:170-192.
    RESUMEN La fenomenología de Husserl está inmersa en un entramado de regresiones y revisiones conceptuales que dificultan la identificación de una estructura sistémica. Los conceptos característicos de la fenomenología carecen de univocidad y no son propios de algunas obras de Husserl. Philosophie der Arithmetik ilustra el problema referido. ¿Puede inscribirse esta obra dentro de la categoría de texto fenomenológico? ¿Es posible hablar de una fenomenología de la matemática en Husserl? y ¿qué sentido tendría esto? Los objetivos del presente ensayo son: (...)
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  • Mathesis Universalis and Husserl’s Phenomenology.Michael Roubach - 2022 - Axiomathes 32 (4):627-637.
    The paper’s central theme is the link between phenomenology and the notion of the mathesis universalis, a link articulated by Husserl in the third volume of the Ideas: “My way to phenomenology was essentially determined by the mathesis universalis.” The paper suggests three interpretations of the phenomenology—mathesis universalis nexus: the first is related to the development of Husserl’s conception of the foundations of arithmetic; the second is based on the role of the theory of manifolds in Husserl’s Logical Investigations; and (...)
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  • Husserl’s Arguments for Psychologism.Filippo Piovesan - 2022 - Axiomathes 32 (4):659-685.
    The question of the psychologism of the theory of number developed by Husserl in his Philosophy of Arithmetic has long been debated, but it cannot be considered fully resolved. In this paper, I address the issue from a new point of view. My claim is that in the Philosophy of Arithmetic, Husserl made, albeit indirectly, a series of arguments that are worth reconstructing and clarifying since they are useful in shedding some light on the psychologism issue. More specifically, I maintain (...)
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  • Husserl and the Algebra of Logic: Husserl’s 1896 Lectures.Mirja Hartimo - 2012 - Axiomathes 22 (1):121-133.
    In his 1896 lecture course on logic–reportedly a blueprint for the Prolegomena to Pure Logic –Husserl develops an explicit account of logic as an independent and purely theoretical discipline. According to Husserl, such a theory is needed for the foundations of logic (in a more general sense) to avoid psychologism in logic. The present paper shows that Husserl’s conception of logic (in a strict sense) belongs to the algebra of logic tradition. Husserl’s conception is modeled after arithmetic, and respectively logical (...)
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  • The Ontology of Propositions in Husserl's Prolegomena.Genki Uemura - 2010 - Bulletin d'Analyse Phénoménologique (9).
    L’ambition de cet article est de reformuler l’ontologie des propositions proposée par Husserl dans ses Prolegomena zur reinen Logik (1900). Dans cet ouvrage, Husserl affirme que les propositions, auxquelles a trait ce qu’il appelle la “logique pure”, sont des propriétés (des “species”) d’actes, mettons d’actes de jugement. En outre, il considère les propriétés comme circonscrivant toutes leurs instantiations possibles. Sur cette base, on comprend mieux en quel sens la réflexion de Husserl sur la nature de la logique dépend de son (...)
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