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Intuition in Mathematics

In Barbara Held & Lisa Osbeck (eds.), Rational Intuition. Cambridge University Press (2014)

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  1. Intuition in Mathematics: A Perceptive Experience.Alexandra Van-Quynh - 2017 - Journal of Phenomenological Psychology 48 (1):1-38.
    This study applied a method of assisted introspection to investigate the phenomenology of mathematical intuition arousal. The aim was to propose an essential structure for the intuitive experience of mathematics. To achieve an intersubjective comparison of different experiences, several contemporary mathematicians were interviewed in accordance with the elicitation interview method in order to collect pinpoint experiential descriptions. Data collection and analysis was then performed using steps similar to those outlined in the descriptive phenomenological method that led to a generic structure (...)
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  • Towards a Theory of Singular Thought About Abstract Mathematical Objects.James E. Davies - forthcoming - Synthese.
    This essay uses a mental files theory of singular thought—a theory saying that singular thought about and reference to a particular object requires possession of a mental store of information taken to be about that object—to explain how we could have such thoughts about abstract mathematical objects. After showing why we should want an explanation of this I argue that none of three main contemporary mental files theories of singular thought—acquaintance theory, semantic instrumentalism, and semantic cognitivism—can give it. I argue (...)
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