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  1. Marcus Giaquinto & Jeremy Avigad, By Marcus Giaquinto.
    Published in 1891, Edmund Husserl’s first book, Philosophie der Arithmetik, aimed to “prepare the scientific foundations for a future construction of that discipline.” His goals should seem reasonable to contemporary philosophers of mathematics: . . . through patient investigation of details, to seek foundations, and to test noteworthy theories through painstaking criticism, separating the correct from the erroneous, in order, thus informed, to set in their place new ones which are, if possible, more adequately secured. [7, p. 5]2 But the (...)
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  2. Marcus Giaquinto (2011). Visual Thinking in Mathematics. OUP Oxford.
    Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in (...)
     
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  3. Marcus Giaquinto (2008). Visualization. In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oup Oxford.
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  4. Marcus Giaquinto (2001). Knowing Numbers. Journal of Philosophy 98 (1):5-18.
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  5. Marcus Giaquinto (2001). What Cognitive Systems Underlie Arithmetical Abilities? Mind and Language 16 (1):56–68.
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  6. Marcus Giaquinto (1998). Epistemology of the Obvious: A Geometrical Case. Philosophical Studies 92 (1/2):181 - 204.
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  7. Marcus Giaquinto (1994). Epistemology of Visual Thinking in Elementary Real Analysis. British Journal for the Philosophy of Science 45 (3):789-813.
    Can visual thinking be a means of discovery in elementary analysis, as well as a means of illustration and a stimulus to discovery? The answer to the corresponding question for geometry and arithmetic seems to be ‘yes’ (Giaquinto [1992], [1993]), and so a positive answer might be expected for elementary analysis too. But I argue here that only in a severely restricted range of cases can visual thinking be a means of discovery in analysis. Examination of persuasive visual routes to (...)
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  8. Marcus Giaquinto (1993). Diagrams: Socrates and Meno's Slave. International Journal of Philosophical Studies 1 (1):81 – 97.
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  9. Marcus Giaquinto (1992). Infant Arithmetic: Wynn's Hypothesis Should Not Be Dismissed. Mind and Language 7 (4):364-366.
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  10. Marcus Giaquinto (1992). Visualizing as a Means of Geometrical Discovery. Mind and Language 7 (4):382-401.
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  11. Marcus Giaquinto (1983). Hilbert's Philosophy of Mathematics. British Journal for the Philosophy of Science 34 (2):119-132.
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  12. Marcus Giaquinto (1983). Science and Ideology. Proceedings of the Aristotelian Society 84:167 - 192.
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