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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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  • How mathematical concepts get their bodies.Andrei Rodin - 2010 - Topoi 29 (1):53-60.
    When the traditional distinction between a mathematical concept and a mathematical intuition is tested against examples taken from the real history of mathematics one can observe the following interesting phenomena. First, there are multiple examples where concepts and intuitions do not well fit together; some of these examples can be described as “poorly conceptualised intuitions” while some others can be described as “poorly intuited concepts”. Second, the historical development of mathematics involves two kinds of corresponding processes: poorly conceptualised intuitions are (...)
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  • Logical contextuality in Frege.Brice Halimi - 2018 - Review of Symbolic Logic 11 (1):1-20.
    Logical universalism, a label that has been pinned on to Frege, involves the conflation of two features commonly ascribed to logic: universality and radicality. Logical universality consists in logic being about absolutely everything. Logical radicality, on the other hand, corresponds to there being the one and the same logic that any reasoning must comply with. The first part of this paper quickly remarks that Frege’s conception of logic makes logical universality prevail and does not preclude the admission of different contexts (...)
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  • Conceptual and Computational Mathematics†.Nicolas Fillion - 2019 - Philosophia Mathematica 27 (2):199-218.
    ABSTRACT This paper examines consequences of the computer revolution in mathematics. By comparing its repercussions with those of conceptual developments that unfolded in the nineteenth century, I argue that the key epistemological lesson to draw from the two transformative periods is that effective and successful mathematical practices in science result from integrating the computational and conceptual styles of mathematics, and not that one of the two styles of mathematical reasoning is superior. Finally, I show that the methodology deployed by applied (...)
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  • The meaning of mathematical expressions: Does philosophy shed any light on psychology?Paul Ernest - 1990 - British Journal for the Philosophy of Science 41 (4):443-460.
    Mathematicians and physical scientists depend heavily on the formal symbolism of mathematics in order to express and develop their theories. For this and other reasons the last hundred years has seen a growing interest in the nature of formal language and the way it expresses meaning; particularly the objective, shared aspect of meaning as opposed to subjective, personal aspects. This dichotomy suggests the question: do the objective philosophical theories of meaning offer concepts which can be applied in psychological theories of (...)
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  • Review of Alexander Bird's book Thomas Kuhn. [REVIEW]James Robert Brown - 2002 - British Journal for the Philosophy of Science 53 (1):143-149.
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  • Molyneux's question and the phenomenology of shape.Shogo Shimizu - unknown
    William Molyneux raised the following question: if a congenital blind person is made to see, and is visually presented with a cube and a globe, would he be able to call the shapes before him a cube and a globe before touching them? Locke, Berkeley, Leibniz, and Reid presented their phenomenological view of shape perception, i.e. their view as to what it is like to perceive shape by sight and touch, in responding to Molyneux’s Question. The four philosophers shared the (...)
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  • Truth via Satisfaction?Nicholas J. J. Smith - 2017 - In Pavel Arazim & Tomas Lavicka (eds.), The Logica Yearbook 2016. London: College Publications. pp. 273-287.
    One of Tarski’s stated aims was to give an explication of the classical conception of truth—truth as ‘saying it how it is’. Many subsequent commentators have felt that he achieved this aim. Tarski’s core idea of defining truth via satisfaction has now found its way into standard logic textbooks. This paper looks at such textbook definitions of truth in a model for standard first-order languages and argues that they fail from the point of view of explication of the classical notion (...)
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