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  1. Husserl’s Theory of Manifolds and Ontology: From the Viewpoint of Intentional Objects.Kentaro Ozeki - 2022 - Annual Review of the Phenomenological Association of Japan 38:(10)–(17).
    This study purports a unifying view of the ontology of mathematics and fiction presented in Husserl’s 1894 manuscript “Intentional Objects” [Intentionale Gegenstände] in relation to his theory of manifolds. In particular, I clarify that Husserl’s argument supposes deductive systems of mathematical theories and fictional work as well as their “correlates,” which are mathematical manifolds in the former cases. This unifying view concretizes the concept of manifolds as an ontological concept that is not bound to mathematics. Although mathematical and fictional objects (...)
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  2. Część i Całość: W Stronę Topoontologii (Part and Whole: Towards Topoontology).Bartłomiej Skowron - 2021 - Warsaw: Oficyna Wydawnicza Politechniki Warszawskiej, 2021..
    part, whole, ideal quality, foundation, unity, space, topoontology, topophilosophy, formal ontology, topology, mathematical philosophy, topology, topology of the person, topology of mind, mathematics in philosophy, mereology, mereotopology, phenomenology, Benedict Bornstein, Edmund Husserl, Roman Ingarden, Kurt Lewin, René Thom.
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  3. Formal and Transcendental Logic- Husserl's most mature reflection on mathematics and logic.Mirja Helena Hartimo - 2021 - In Hanne Jacobs (ed.), The Husserlian Mind. pp. 50-59.
    This essay presents Husserl’s Formal and Transcendental Logic (1929) in three main sections following the layout of the work itself. The first section focuses on Husserl’s introduction where he explains the method and the aim of the essay. The method used in FTL is radical Besinnung and with it an intentional explication of proper sense of formal logic is sought for. The second section is on formal logic. The third section focuses on Husserl’s “transcendental logic,” which is needed to make (...)
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  4. Noesis, semiosis y matemáticas.Miguel Ariza - 2009 - Mathesis 4 (2):203-220.
    El presupuesto según el cual el contenido de una manifestación compleja está en función de los contenidos de sus partes componentes, expresa claramente una intuición que solemos tener sobre lo múltiple; implica una reflexión sobre la relación entre el todo y las partes que lo componen; involucra una teoría de las multiplicidades que entraña atributos de naturaleza matemática; presenta el problema de cómo los seres humanos nos relacionamos con los entornos del mundo para generar unidad de sentido. La significación es (...)
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  5. On the Theory of the Negative Judgment.Adolf Reinach & Barry Smith - 1982 - In Barry Smith (ed.), Parts and Moments. Studies in Logic and Formal Ontology. Munich/Vienna: Philosophia Verlag. pp. 315–377.
    Distinguishes two senses of 'judgment' on the one hand as meaning a state of 'conviction' or 'belief', and on the other hand as meaning an act of 'affirmation' or 'assertion'. Certainly conviction and assertion stand in close relation to each other, but they delineate two heterogeneous logical spheres, and thereby divide the total field of the theory of judgment into two neighbouring but separate sub-fields. Once this is done it is shown to have implications for our understanding especially of the (...)
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  6. Techno-Telepathy & Silent Subvocal Speech-Recognition Robotics.Virgil W. Brower - 2021 - HORIZON. Studies in Phenomenology 10 (1):232-257.
    The primary focus of this project is the silent and subvocal speech-recognition interface unveiled in 2018 as an ambulatory device wearable on the neck that detects a myoelectrical signature by electrodes worn on the surface of the face, throat, and neck. These emerge from an alleged “intending to speak” by the wearer silently-saying-something-to-oneself. This inner voice is believed to occur while one reads in silence or mentally talks to oneself. The artifice does not require spoken sounds, opening the mouth, or (...)
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  7. The Dawn of Pure Logical Grammar: Husserl’s Study of Inauthentic Judgments from ‘On the Logic of Signs’ as the Germ of the Fourth Logical Investigation.Thomas Byrne - 2017 - Studia Phaenomenologica 1 (17):285-308.
    This paper accomplishes two goals. First, I elucidate Edmund Husserl’s theory of inauthentic judgments from his 1890 “On the Logic of Signs (Semiotic).” It will be shown how inauthentic judgments are distinct from other signitive experiences, in such a manner that when Husserl seeks to account for them, he is forced to revise the general structure of his philosophy of meaning and in doing so, is also able to realize novel insights concerning the nature of signification. Second, these conclusions are (...)
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  8. Husserl’s Early Genealogy of the Number System.Thomas Byrne - 2019 - Meta: Research in Hermeneutics, Phenomenology, and Practical Philosophy 2 (11):408-428.
    This article accomplishes two goals. First, the paper clarifies Edmund Husserl’s investigation of the historical inception of the number system from his early works, Philosophy of Arithmetic and, “On the Logic of Signs (Semiotic)”. The article explores Husserl’s analysis of five historical developmental stages, which culminated in our ancestor’s ability to employ and enumerate with number signs. Second, the article reveals how Husserl’s conclusions about the history of the number system from his early works opens up a fusion point with (...)
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  9. The Relevance of Phenomenological Analysis Within Current Epistemology.Stathis Livadas - 2020 - Phainomenon 30:107-134.
    This article is primarily concerned with the articulation of a defensible position on the relevance of phenomenological analysis with the current epistemological edifice as this latter has evolved since the rupture with the classical scientific paradigm pointing to the Newtonian-Leibnizian tradition which took place around the beginning of 20th century. My approach is generally based on the reduction of the objects-contents of natural sciences, abstracted in the form of ideal objectivities in the corresponding logical-mathematical theories, to the content of meaning-acts (...)
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  10. A “Principally Unacceptable” Theory: Husserl's Rejection and Revision of his Philosophy of Meaning Intentions from the Logical Investigations.Thomas Byrne - 2020 - Studia Phaenomenologica 20:359-380.
    This paper accomplishes two goals. First, the essay elucidates Husserl’s descriptions of meaning consciousness from the 1901 Logical Investigations. I examine Husserl’s observations about the three ways we can experience meaning and I discuss his conclusions about the structure of meaning intentions. Second, the paper explores how Husserl reworked that 1901 theory in his 1913/14 Revisions to the Sixth Investigation. I explore how Husserl transformed his descriptions of the three intentions involved in meaningful experience. By doing so, Husserl not only (...)
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  11. Braucht die Logik Objekte? Die Ontologie logischer Gegenstände im Tractatus und Erfahrung und Urteil.Miguel Ohnesorge - 2019 - Bulletin D’Analyse Phénoménologique 15 (2):1-32.
    Ludwig Wittgenstein’s Tractatus logico-philosophicus and Edmund Husserl’s Experience and Judgement (Erfahrung und Urteil) are based on remarkably different conceptual frameworks and methodologies. After analyzing their respective accounts on the foundations of (formal) logic, I map out their common aims and different conclusions. I hold that Husserl and Wittgenstein both use the epistemic necessity of the existence of logical relations among things as an argument against philosophical scepticism, but their different epistemological convictions lead them to decisively diverging accounts of the nature (...)
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  12. Radical Besinnung in Formale und transzendentale Logik.Mirja Hartimo - 2018 - Husserl Studies 34 (3):247-266.
    This paper explicates Husserl’s usage of what he calls “radical Besinnung” in Formale und transzendentale Logik. Husserl introduces radical Besinnung as his method in the introduction to FTL. Radical Besinnung aims at criticizing the practice of formal sciences by means of transcendental phenomenological clarification of its aims and presuppositions. By showing how Husserl applies this method to the history of formal sciences down to mathematicians’ work in his time, the paper explains in detail the relationship between historical critical Besinnung and (...)
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  13. Kurt Lewin, Wissenschaftstheorie I. [REVIEW]Barry Smith - 1983 - History and Philosophy of Logic 4 (2):235-238.
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  14. The Ontogenesis of Mathematical Objects.Barry Smith - 1975 - 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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  15. Frege's attack on Husserl and Cantor.Claire Ortiz Hill - 1994 - The Monist 77 (3):345 - 357.
    By drawing attention to these facts and to the relationship between Cantor’s and Husserl's ideas, I have tried to contribute to putting Frege's attack on Husserl "in the proper light" by providing some insight into some of the issues underling criticisms which Frege himself suggested were not purely aimed at Husserl's book. I have tried to undermine the popular idea that Frege's review of the Philosophy of Arithmetic is a straightforward, objective assessment of Husserl’s book, and to give some specific (...)
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  16. Logic and formal ontology.Barry Smith - 2000 - Manuscrito 23 (2):275-323.
    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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  17. Sachverhalt.Barry Smith - 1992 - In Historisches Wörterbuch der Philosophie, Volume 8. Basel: Schwabe. pp. 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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  18. On the Mathematical Representation of Spacetime: A Case Study in Historical–Phenomenological Desedimentation.Joseph Cosgrove - 2011 - New Yearbook for Phenomenology and Phenomenological Philosophy 11:154-186.
    This essay is a contribution to the historical phenomenology of science, taking as its point of departure Husserl’s later philosophy of science and Jacob Klein’s seminal work on the emergence of the symbolic conception of number in European mathematics during the late sixteenth and seventeenth centuries. Sinceneither Husserl nor Klein applied their ideas to actual theories of modern mathematical physics, this essay attempts to do so through a case study of the conceptof “spacetime.” In §1, I sketch Klein’s account of (...)
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  19. Logic and formal ontology.B. Smith - 1989 - In J. N. Mohanty & W. McKenna (eds.), Husserl’s Phenomenology: A Textbook. Lanham: University Press of America. pp. 29-67.
    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, which contains 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. (...)
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Husserl: Philosophy of Logic
  1. The Meaning of Being: Husserl on Existential Propositions as Predicative Propositions.Thomas Byrne - 2022 - Axiomathes 32 (1):123-139.
    This essay examines how Husserl stretches the bounds of his philosophy of meaning, according to which all propositions are categorical, to account for existential propositions, which seem to lack predicates. I examine Husserl’s counterintuitive conclusion that an existential proposition does possess a predicate and I explore his endeavor to pinpoint what that predicate is. This goal is accomplished in three stages. First, I examine Husserl’s standard theory of predication and categorial intuition from his 1901 Logical Investigations. Second, I show how (...)
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  2. Gesetze des Denkens? Von Husserls und Freges Psychologismus-Kritik zu einem transzendentalen Kern der Logik.David Löwenstein - 2020 - Zeitschrift für Philosophische Forschung 74 (4):514-531.
    Husserl and Frege reject logical psychologism, the view that logical laws are psychological 'laws of thought'. This paper offers an account of these famous objections and argues that their crucial premise, the necessity of logical laws, is justified with reference to a problematic metaphysics. However, this premise can be established in a more plausible way, namely via a transcendental argument which starts from the practice of rational criticism. This argument is developed through a discussion of Quine's holism, which at first (...)
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  3. Husserl’s 1901 and 1913 Philosophies of Perceptual Occlusion: Signitive, Empty, and Dark Intentions.Thomas Byrne - 2020 - Husserl Studies 36 (2):123-139.
    This paper examines the evolution of Edmund Husserl’s theory of perceptual occlusion. This task is accomplished in two stages. First, I elucidate Husserl’s conclusion, from his 1901 Logical Investigations, that the occluded parts of perceptual objects are intended by partial signitive acts. I focus on two doctrines of that account. I examine Husserl’s insight that signitive intentions are composed of Gehalt and I discuss his conclusion that signitive intentions sit on the continuum of fullness. Second, the paper discloses how Husserl (...)
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  4. A Historical Survey and Conceptual Account of States of Affairs.Matthew E. Roberts - 2006 - Dissertation, University of Colorado
    States of affairs are entities like snow’s being white. This dissertation encompasses two projects. First, I provide a historical survey of the concept of state of affairs as it has been used in the history of ontology. Second, I provide a novel conceptual account of states of affairs.
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  5. Fore- and Background in Conscious Non-Demonstrative Inference.Anders Nes - 2020 - In Anders Nes & Timothy Chan (eds.), Inference and Consciousness. London: Routledge. pp. 199-228.
    It is often supposed one can draw a distinction, among the assumptions on which an inference rests, between certain background assumptions and certain more salient, or foregrounded, assumptions. Yet what may such a fore-v-background structure, or such structures, consist it? In particular, how do they relate to consciousness? According to a ‘Boring View’, such structures can be captured by specifying, for the various assumptions of the inference, whether they are phenomenally conscious, or access conscious, or else how easily available they (...)
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  6. Husserl et la logique des signes.Denis Fisette - 1999 - Revue de Sémiologie RSSI 20 (1-3):145-185.
    This study seeks to trace the boundaries of the sign in the phenomenological tradition of Edmund Husserl. The approach adopted here is largely historical and has no other ambition that to identify those questions that pertain to the sign and have been of interest for phenomenology. The article is divided in four parts : the first examines an essay from 1890 entitled Semiotik and situates it in the context of the young Husserl's work in the philosophy of mathematics ; the (...)
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  7. Fondements phénoménologiques de la structure prédicative.Dominique Pradelle - 2016 - Bulletin d'Analyse Phénoménologique (2):54-97.
    L’objet de cet article est de dégager, sur l’exemple de la prédication, ce qu’est le propre d’une logique phénoménologique. On montre qu’elle se caractérise par plusieurs démarches essentielles : régression du domaine de la signification idéale vers les modes de visée, de comportement et d’évidence subjectifs propres à l’étant qui, par son discours, vise les formes syntaxiques, donc depuis les articulations syntaxiques de la signification vers celles de la pensée ; et surtout, un déplacement de l’orientation thématique depuis le domaine (...)
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  8. Husserl’s Early Semiotics and Number Signs: Philosophy of Arithmetic through the Lens of “On the Logic of Signs ”.Thomas Byrne - 2017 - Journal of the British Society for Phenomenology 48 (4):287-303.
    This paper demonstrates that Edmund Husserl’s frequently overlooked 1890 manuscript, “On the Logic of Signs,” when closely investigated, reveals itself to be the hermeneutical touchstone for his seminal 1891 Philosophy of Arithmetic. As the former comprises Husserl’s earliest attempt to account for all of the different kinds of signitive experience, his conclusions there can be directly applied to the latter, which is focused on one particular type of sign; namely, number signs. Husserl’s 1890 descriptions of motivating and replacing signs will (...)
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  9. Lógica y ontología formal.Barry Smith - 2004 - In Grupo de Acción Filosófica (GAF). Buenos Aires, Argentina,: Grupo de Acción Filosófica (Gaf), Buenos Aires.
    La lógica es para Husserl una ciencia de la ciencia, una ciencia de lo que todas las ciencias tienen en común respecto de sus modos de validación. De este modo, la lógica trata por un lado con leyes universales relacionadas con la verdad, la deducción, la verificación y la falsación; y, por otro lado, con leyes relacionadas con la teoría como tal, y con lo que produce la unidad teorética. Ambos tipos de leyes se refieren por una parte a las (...)
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  10. Edmund Husserl, Logische Untersuchungen, II. Band, 1. und 2. [REVIEW]Kevin Mulligan & Barry Smith - 1986 - Grazer Philosophische Studien 27 (1):199-207.
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  11. Logica Kirchbergensis.Barry Smith - 1989 - In Peter Klein (ed.), Praktische Logik. Traditionen und Tendenzen. Göttingen: Vandenhoeck & Ruprecht. pp. 123-145.
    In der klassischen Logik von Aristoteles bis Wolff findet sich eine durchgängige Parallelität von logischen (einschließlich grammatikalischen und psychologischen) und ontologischen Gebilden. Der Logiker beschäftigt sich mit Subjekt und Prädikat, aber gleichzeitig auch z.B. mit Substanz und Akzidenz als Entitäten in der Welt. Nach Kant begann für die Logik eine Phase, in der diese ontologische oder objektbezogene Seite verloren ging. Gegen Ende des 19. Jahrhunderts beginnt man dann aber wieder über die ontologischen Korrelate des Denkens und des Urteilens zu sprechen. (...)
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  12. Logica e ontologia formale nelle «Logische Untersuchungen» di Husserl.Barry Smith - 1991 - Rivista di Filosofia 83 (1):53-70.
    Per Husserl, come per Bolzano, la logica e una dottrina della sdenza. Husserl prende pero piu sul serio l'idea che le teorie scientifiche siano costituite dagli atti mentali di soggetti conoscenti. Quella che segue e un' esposizione della concezione husserliana della logica e della scienza, fondata appunto sugli atti; essa approdera a una delineazione dell'idea husserliana di «ontologia formale».
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  13. Wahrmacher.Kevin Mulligan, Peter Simons & Barry Smith - 1987 - In L. Bruno Puntel (ed.), Der Wahrheitsbegriff: Neue Explikationsversuche. Darmstadt: Wissenschaftliche Buchgesellschaft. pp. 210-255.
    Als zu Beginn des Jahrhunderts der Realismus wieder ernst genommen wurde, gab es viele Philosophen, die sich mit der Ontologie der Wahrheit befaßten. Unabhängig von der Bestimmung der Wahrheit als Korrespondenzbeziehung wollten sie herausfinden, inwieweit zur Erklärung der Wahrheit von Sätzen besondere Entitäten herangezogen werden müssen. Einige dieser Entitäten, so zum Beispiel Bolzanos ‘Sätze an sich’, Freges ‘Gedanken’ oder die ‘propositions’ von Russell und Moore, wurden als Träger der Eigenschaften Wahrheit und Falschheit aufgefaßt. Einige Philosophen jedoch, wie Russell, Wittgenstein im (...)
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  14. Vérifacteurs.Kevin Mulligan, Peter Simons & Barry Smith - 2008-2011 - Etudes de Philosophie 9:104-138.
    French translation of "Truth-Makers" (1984). A realist theory of truth for a class of sentence holds that there are entities in virtue of which these sentences are true or false. We call such entities ‘truthmakers’ and contend that those for a wide range of sentences about the real world are moments (dependent particulars). Since moments are unfamiliar we provide a definition and a brief philosophical history, anchoring them in our ontology by showing that they are objects of perception. The core (...)
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  15. Husserl’s Theory of Meaning and Reference.Barry Smith - 1994 - In L. Haaparanta (ed.), Mind, Meaning and Mathematics: Essays on the Philosophy of Husserl and Frege. Netherlands: Kluwer Academic Publishers. pp. 163-183.
    This paper is a contribution to the historical roots of the analytical tradition. As Michael Dummett points out in his Origins of Analytic Philosophy, many tendencies in Central European thought contributed to the early development of analytic philosophy. Dummett himself concentrates on just one aspect of this historical complex, namely on the relationship between the theories of meaning and reference developed by Frege and by Husserl in the years around the turn of the century. It is to this specific issue (...)
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  16. Self-reference and gödel's theorem: A Husserlian analysis. [REVIEW]Albert Johnstone - 2003 - Husserl Studies 19 (2):131-151.
    A Husserlian phenomenological approach to logic treats concepts in terms of their experiential meaning rather than in terms of reference, sets of individuals, and sentences. The present article applies such an approach in turn to the reasoning operative in various paradoxes: the simple Liar, the complex Liar paradoxes, the Grelling-type paradoxes, and Gödel’s Theorem. It finds that in each case a meaningless statement, one generated by circular definition, is treated as if were meaningful, and consequently as either true or false, (...)
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  17. Logic and the Sachverhalt.Barry Smith - 1989 - The Monist 72 (1):52-69.
    Those who conceive logic as a science have generally favoured one of two alternative conceptions as to what the subject-matter of this science ought to be. On the one hand is the nowadays somewhat old-fashioned-seeming view of logic as the science of judgment, or of thinking or reasoning activities in general. On the other hand is the view of logic as a science of ideal meanings, 'thoughts', or 'propositions in themselves'. There is, however, a third alternative conception, which enjoyed only (...)
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Husserl: Philosophy of Science
  1. 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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  2. Битие и наука.Vasil Penchev (ed.) - 1996 - Sofia: "Дамян Яков".
    The book suggests a "phenomological" philosophy of science, in the sense of Husserl and Heidegger. Reality is consideried as continuity. The scientific model is entangled into reality by many links in a single context rather than to redlect a certain separate part of reality studied by a scientific discipline as an "image of reality", A coherent, rather than correspondent, concept of truth is relevant to that kind of philosophy of science.
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  3. All science as rigorous science: the principle of constructive mathematizability of any theory.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal 12 (12):1-15.
    A principle, according to which any scientific theory can be mathematized, is investigated. Social science, liberal arts, history, and philosophy are meant first of all. That kind of theory is presupposed to be a consistent text, which can be exhaustedly represented by a certain mathematical structure constructively. In thus used, the term “theory” includes all hypotheses as yet unconfirmed as already rejected. The investigation of the sketch of a possible proof of the principle demonstrates that it should be accepted rather (...)
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  4. From Einstein's Physics to Neurophilosophy: On the notions of space, time and field as cognoscitive conditions under Kantian-Husserlian approach in the General Relativity Theory.Ruth Castillo - forthcoming - Bitácora-E.
    The current technoscientific progress has led to a sectorization in the philosophy of science. Today the philosophy of science isn't is informal interested in studying old problems about the general characteristics of scientific practice. The interest of the philosopher of science is the study of concepts, problems and riddles of particular disciplines. Then, within this progress of philosophy of science, neuroscientific research stands out, because it invades issues traditionally addressed by the humanities, such as the nature of consciousness, action, knowledge, (...)
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  5. Brentano's conception of philosophy as rigorous science.Wolfgang Huemer - 2018 - Brentano Studien 16 (1):53-72.
    Abstract: Brentano’s conception of scientific philosophy had a strong influence on his students and on the intellectual atmosphere of Vienna in the late nineteenth century. The aim of this article is to expose Brentano’s conception and to contrast his views with that of two traditions he is said to have considerably influenced: phenomenology and analytic philosophy. I will shed light on the question of how and to what extent Brentano’s conception of philosophy as a rigorous science has had an impact (...)
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  6. La physique naïve: un essai d'ontologie.Barry Smith & Roberto Casati - 1993 - Intellectica 17 (2):173--197.
    The project of a naive physics has been the subject of attention in recent years above all in the artificial intelligence field, in connection with work on common-sense reasoning, perceptual representation and robotics. The idea of a theory of the common-sense world is however much older than this, having its roots not least in the work of phenomenologists and Gestalt psychologists such as Kohler, Husserl, Schapp and Gibson. This paper seeks to show how contemporary naive physicists can profit from a (...)
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  7. 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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Husserl: Philosophy of Mathematics
  1. Propositions as Intentions.Bruno Bentzen - 2023 - Husserl Studies 39 (2):143-160.
    I argue against the interpretation of propositions as intentions and proof-objects as fulfillments proposed by Heyting and defended by Tieszen and van Atten. The idea is already a frequent target of criticisms regarding the incompatibility of Brouwer’s and Husserl’s positions, mainly by Rosado Haddock and Hill. I raise a stronger objection in this paper. My claim is that even if we grant that the incompatibility can be properly dealt with, as van Atten believes it can, two fundamental issues indicate that (...)
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  2. Machine-Believers Learning Faiths & Knowledges: The Gospel According to GPT.Virgil W. Brower - 2021 - Internationales Jahrbuch Für Medienphilosophie 7 (1):97-121.
    One is occasionally reminded of Foucault's proclamation in a 1970 interview that "perhaps, one day this century will be known as Deleuzian." Less often is one compelled to update and restart with a supplementary counter-proclamation of the mathematician, David Lindley: "the twenty-first century would be a Bayesian era..." The verb tenses of both are conspicuous. // To critically attend to what is today often feared and demonized, but also revered, deployed, and commonly referred to as algorithm(s), one cannot avoid the (...)
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  3. All science as rigorous science: the principle of constructive mathematizability of any theory.Vasil Penchev - 2020 - Logic and Philosophy of Mathematics eJournal 12 (12):1-15.
    A principle, according to which any scientific theory can be mathematized, is investigated. Social science, liberal arts, history, and philosophy are meant first of all. That kind of theory is presupposed to be a consistent text, which can be exhaustedly represented by a certain mathematical structure constructively. In thus used, the term “theory” includes all hypotheses as yet unconfirmed as already rejected. The investigation of the sketch of a possible proof of the principle demonstrates that it should be accepted rather (...)
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  4. Skolem’s “paradox” as logic of ground: The mutual foundation of both proper and improper interpretations.Vasil Penchev - 2020 - Epistemology eJournal (Elsevier: SSRN) 13 (19):1-16.
    A principle, according to which any scientific theory can be mathematized, is investigated. That theory is presupposed to be a consistent text, which can be exhaustedly represented by a certain mathematical structure constructively. In thus used, the term “theory” includes all hypotheses as yet unconfirmed as already rejected. The investigation of the sketch of a possible proof of the principle demonstrates that it should be accepted rather a metamathematical axiom about the relation of mathematics and reality. Its investigation needs philosophical (...)
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  5. Vers une genèse a-subjective des idéalités mathématiques. Cavaillès critique de Husserl.Dominique Pradelle - 2013 - Archives de Philosophie 76 (2):239-270.
    In this paper our purpose is to explane and discuss the essential objections Cavaillès raised to Husserlian phenomenology in his last text “On Logic and Theory of Science”. In this text Cavaillès questioned the foundational status of cogito and the capacity of consciousness to produce new ideal objects.; and he replaced this capacity with an anonymous generating necessity that would be dialectical and would take place intin the ideal domains of objects. We have to determine if such objections question every (...)
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  6. Mathematics and Its Applications, A Transcendental-Idealist Perspective.Jairo José da Silva - 2017 - Cham: 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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  7. 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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