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Intuition in Mathematics

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

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  1. Epistemic Thought Experiments and Intuitions.Manhal Hamdo - 2023 - Springer Verlag.
    This work investigates intuitions' nature, demonstrating how philosophers can best use them in epistemology. First, the author considers several paradigmatic thought experiments in epistemology that depict the appeal to intuition. He then argues that the nature of thought experiment-generated intuitions is not best explained by an a priori Platonism. Second, the book instead develops and argues for a thin conception of epistemic intuitions. The account maintains that intuition is neither a priori nor a posteriori but multi-dimensional. It is an intentional (...)
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  • (1 other version)Towards a theory of singular thought about abstract mathematical objects.James E. Davies - 2019 - Synthese 196 (10):4113-4136.
    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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  • 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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  • Consideraciones sobre la noción de intuición matemática.Lina María Peña-Páez - 2020 - Ágora Papeles de Filosofía 39 (2):127-141.
    La historia de la matemática muestra como la intuición matemática ha estado presente en la invención y desarrollo de conceptos, teorías y procedimientos matemáticos. Así mismo, ha permeado el debate filosófico, los fundamentos de la matemática y los discursos educativos; otorgándole vigencia al estudio de este tema. En el presente artículo, se exponen los argumentos bajo los cuales es posible sustentar que la intuición es un proceso, que toma ideas que se presentan, inicialmente de manera “desordenada”, y que gracias al (...)
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