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The Three Formal Phenomenological Structures: A Means to Assess the Essence of Mathematical Intuition

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In a recent article I detailed at length the methodology employed to explore the reflective and pre-reflective contents of singular intuitive experiences in contemporary mathematics in order to propose an essential structure of intuition arousal in mathematics (Van-Quynh, 2017a). In this paper I present the phenomenological assessment of the essential structure according to the three formal structures as proposed by Sokolowski's scheme (Sokolowski, 2000) and show their relevance in the description of the intuitive experience in mathematics. I also show that this essential structure acknowledges the perceptualist view of intuition, as proposed by Chudnoff (2014), and discuss the analogy that is often proposed and argued between mathematical intuition and ordinary perceptive intuition.
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Keywords: essential structure; intuition; mathematics; parts and whole; perception; phenomenology

Document Type: Research Article

Publication date: January 1, 2019

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