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Mathematics

In Barry Smith & David Woodruff Smith (eds.), The Cambridge companion to Husserl. New York: Cambridge University Press (1995)

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  1. (1 other version)On What There is—Infinitesimals and the Nature of Numbers.Jens Erik Fenstad - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):57-79.
    This essay will be divided into three parts. In the first part, we discuss the case of infintesimals seen as a bridge between the discrete and the continuous. This leads in the second part to a discussion of the nature of numbers. In the last part, we follow up with some observations on the obvious applicability of mathematics.
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  • A Case for A Husserlian Willardarian Approach to Knowledge.Joseph Gibson - 2016 - Dissertation, Liberty University
    This thesis introduces certain aspects in the thought of Dallas Willard and Edmund Husserl as a new way forward in the internalism externalism debate. Husserl’s detailed analysis of cognition has application to epistemology and addresses in great depth an area which in the current discussion is often tertiary and shallow at best. It is argued that in both internalist and externalist camps there is a common assumption about cognition which Husserl argues forcibly against. This assumption is that thought, or cognition, (...)
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  • Husserl’s relevance for the philosophy and foundations of mathematics.Guillermo E. Rosado Haddock - 1997 - Axiomathes 8 (1):125-142.
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  • In Lieu of a Review of the Latest English Translation of Ideas I: A Reading of Husserl's Original Intent and its Relevance for Empirical Qualitative Psychology.Ian Rory Owen - 2015 - Indo-Pacific Journal of Phenomenology 15 (1):1-13.
    Husserl's phenomenology provides theory for empirical science and other practices in the form of transcendental philosophy after Kant. This phenomenology is a reflection on mental objects in relation to mental processes, some of which are shared in culture: a theoretical framework that grounds and co-ordinates theory-production for empirical practice. The importance of the original work of Edmund Husserl for contemporary empirical psychology is that it provides the conceptual justification for the methods employed and the interpretative stances taken. Informed theoretically by (...)
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  • The Rights of the Other: Emmanuel Levinas' Meta-Phenomenology as a Critique of Hillel Steiner's An Essay on Rights.Andrew Thomas Hugh Wilshere - unknown
    In contemporary philosophy about justice, a contrast between empirical and transcendental approaches can be identified. Hillel Steiner represents an empirical approach: he argues for building an account of justice-as-rights out of the minimal inductive material of psychological linguistic and moral intuitions. From this opening, he ultimately concludes that persons have original rights to self-ownership and to an initially equal share of natural resources. Emmanuel Levinas represents a transcendental approach: he argues that justice arises from a transcendent ethical relation of responsibility-for-the-Other. (...)
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  • A metaphysical foundation for mathematical philosophy.Wójtowicz Krzysztof & Skowron Bartłomiej - 2022 - Synthese 200 (4):1-28.
    Although mathematical philosophy is flourishing today, it remains subject to criticism, especially from non-analytical philosophers. The main concern is that even if formal tools serve to clarify reasoning, they themselves contribute nothing new or relevant to philosophy. We defend mathematical philosophy against such concerns here by appealing to its metaphysical foundations. Our thesis is that mathematical philosophy can be founded on the phenomenological theory of ideas as developed by Roman Ingarden. From this platonist perspective, the “unreasonable effectiveness of mathematics in (...)
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  • Using Mindfulness as a Teaching Aid for Phenomenology.Ian Rory Owen - 2013 - Indo-Pacific Journal of Phenomenology 13 (2):1-16.
    This paper recaps the position of the Bern school of Husserl interpretation, namely the work of Iso Kern and Eduard Marbach. Kern and Marbach have provided detailed accounts in English as to how to read the key issues in Husserl regarding the philosophical and psychological positions and the methods used to create a theoretical practice that goes before empirical work. When it comes to teaching, there is nothing more useful than a demonstrable technique that shows the evidence to which the (...)
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  • Jens Erik Fenstad.*Structures and Algorithms: Mathematics and the Nature of Knowledge.Julian C. Cole - 2023 - Philosophia Mathematica 31 (1):125-131.
    This book collects eight essays — written over multiple decades, for a general audience — that address Fenstad’s thoughts on the topics of what there is and how.
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  • Postscript to ‘On What There is—Infinitesimals and the Nature of Numbers’.Jens Erik Fenstad - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):80-82.
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