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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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  • The Formal Theory of Everything: Explorations of Husserl’s Theory of Manifolds (Mannifaltigkeitslehre).Nikolay Milkov - 2005 - Analecta Husserliana 88:119–35.
    Husserl’s theory of manifolds was developed for the first time in a very short form in the Prolegomena to his Logical Investigations, §§ 69–70 (pp. 248–53), then repeatedly discussed in Ideas I, §§ 71–2 (pp. 148–53), in Formal and Transcendental Logic, §§ 51–4 (pp. 142–54), and finally in the Crisis, § 9 (pp. 20–60). Husserl never lost sight of it: it was his idée fixe. He discussed this theme over forty years, expressing the same, in principle, ideas on it in (...)
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  • Logic in reality.Joseph E. Brenner - 2008 - Dordrecht: Springer.
    The work is the presentation of a logical theory - Logic in Reality (LIR) - and of applications of that theory in natural science and philosophy, including ...
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  • Mathematizing phenomenology.Jeffrey Yoshimi - 2007 - Phenomenology and the Cognitive Sciences 6 (3):271-291.
    Husserl is well known for his critique of the “mathematizing tendencies” of modern science, and is particularly emphatic that mathematics and phenomenology are distinct and in some sense incompatible. But Husserl himself uses mathematical methods in phenomenology. In the first half of the paper I give a detailed analysis of this tension, showing how those Husserlian doctrines which seem to speak against application of mathematics to phenomenology do not in fact do so. In the second half of the paper I (...)
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  • (1 other version)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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  • Husserl’s Philosophy of the Categories and His Development toward Absolute Idealism.Clinton Tolley - 2017 - Grazer Philosophische Studien 94 (3):460-493.
    In recent work, Amie Thomasson has sought to develop a new approach to the philosophy of the categories which is metaphysically neutral between traditional realist and conceptualist approaches, and which has its roots in the ‘correlationalist’ approach to categories put forward in Husserl’s writings in the 1900s–1910s and systematically charted over the past few decades by David Woodruff Smith in his studies of Husserl’s philosophy. Here the author aims to provide a recontextualization and critical assessment of correlationalism in a Husserlian (...)
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  • Tolstoy and Wittgenstein.David Woodruff Smith - 2002 - Southern Journal of Philosophy 40 (3):421-435.
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  • Husserl's Logical investigations reconsidered.Denis Fisette (ed.) - 2003 - Boston: Kluwer Academic Publishers.
    The twelve original studies collected in this volume examine different aspects of Edmund Husserl's Logical Investigations. They are authored by scholars and specialists internationally recognized for their expertise in the fields of phenomenology, logic, history of philosophy and philosophy of mind. They approach Husserl's groundwork from different angles and perspectives and shed new light on a number of issues such as meaning, intentionality, ontology, logic, etc. They also explore questions such as the place of the Logical Investigations within the whole (...)
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  • Theory of Knowledge Based on the Idea of the Discursive Space.Rafal Maciag - 2022 - Philosophies 7 (4):72.
    This paper discusses the theory of knowledge based on the idea of dynamical space. The goal of this effort is to comprehend the knowledge that remains beyond the human domain, e.g., of the artificial cognitive systems. This theory occurs in two versions, weak and strong. The weak version is limited to knowledge in which retention and articulation are performed through the discourse. The strong version is general and is not limited in any way. In the weak version, knowledge is represented (...)
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  • (1 other version)La notion husserlienne de multiplicité : au-delà de Cantor et Riemann.Carlo Ierna - 2012 - Methodos 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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