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Parsons on mathematical intuition

Mind 102 (406):223-232 (1993)

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  1. Intuition and philosophical methodology.John Symons - 2008 - Axiomathes 18 (1):67-89.
    Intuition serves a variety of roles in contemporary philosophy. This paper provides a historical discussion of the revival of intuition in the 1970s, untangling some of the ways that intuition has been used and offering some suggestions concerning its proper place in philosophical investigation. Contrary to some interpretations of the results of experimental philosophy, it is argued that generalized skepticism with respect to intuition is unwarranted. Intuition can continue to play an important role as part of a methodologically conservative stance (...)
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  • The Effect of Implicit Moral Attitudes on Managerial Decision-Making: An Implicit Social Cognition Approach.Nicki Marquardt & Rainer Hoeger - 2009 - Journal of Business Ethics 85 (2):157-171.
    This article concerns itself with the relationship between implicit moral cognitions and decisions in the realm of business ethics. Traditionally, business ethics research emphasized the effects of overt or explicit attitudes on ethical decision-making and neglected intuitive or implicit attitudes. Therefore, based on an implicit social cognition approach it is important to know whether implicit moral attitudes may have a substantial impact on managerial ethical decision-making processes. To test this thesis, a study with 50 participants was conducted. In this study (...)
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  • Intuiting the infinite.Robin Jeshion - 2014 - Philosophical Studies 171 (2):327-349.
    This paper offers a defense of Charles Parsons’ appeal to mathematical intuition as a fundamental factor in solving Benacerraf’s problem for a non-eliminative structuralist version of Platonism. The literature is replete with challenges to his well-known argument that mathematical intuition justifies our knowledge of the infinitude of the natural numbers, in particular his demonstration that any member of a Hilbertian stroke string ω-sequence has a successor. On Parsons’ Kantian approach, this amounts to demonstrating that for an “arbitrary” or “vaguely represented” (...)
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  • On the Concept of Finitism.Luca Incurvati - 2015 - Synthese 192 (8):2413-2436.
    At the most general level, the concept of finitism is typically characterized by saying that finitistic mathematics is that part of mathematics which does not appeal to completed infinite totalities and is endowed with some epistemological property that makes it secure or privileged. This paper argues that this characterization can in fact be sharpened in various ways, giving rise to different conceptions of finitism. The paper investigates these conceptions and shows that they sanction different portions of mathematics as finitistic.
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  • Philosophy of Mathematics for the Masses : Extending the scope of the philosophy of mathematics.Stefan Buijsman - 2016 - Dissertation, Stockholm University
    One of the important discussions in the philosophy of mathematics, is that centered on Benacerraf’s Dilemma. Benacerraf’s dilemma challenges theorists to provide an epistemology and semantics for mathematics, based on their favourite ontology. This challenge is the point on which all philosophies of mathematics are judged, and clarifying how we might acquire mathematical knowledge is one of the main occupations of philosophers of mathematics. In this thesis I argue that this discussion has overlooked an important part of mathematics, namely mathematics (...)
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