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  1. Fitting Feelings and Elegant Proofs: On the Psychology of Aesthetic Evaluation in Mathematics.Cain Todd - 2017 - Philosophia Mathematica:nkx007.
    ABSTRACT This paper explores the role of aesthetic judgements in mathematics by focussing on the relationship between the epistemic and aesthetic criteria employed in such judgements, and on the nature of the psychological experiences underpinning them. I claim that aesthetic judgements in mathematics are plausibly understood as expressions of what I will call ‘aesthetic-epistemic feelings’ that serve a genuine cognitive and epistemic function. I will then propose a naturalistic account of these feelings in terms of sub-personal processes of representing and (...)
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  • Fitting Feelings and Elegant Proofs: On the Psychology of Aesthetic Evaluation in Mathematics†.Cain Todd - 2018 - Philosophia Mathematica 26 (2):211-233.
  • Introduction to Special Issue: Aesthetics in Mathematics†.Angela Breitenbach & Davide Rizza - 2018 - Philosophia Mathematica 26 (2):153-160.
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  • Aesthetic Feelings in Scientific Reasoning.M. Miyata-Sturm - 2024 - Teorema: International Journal of Philosophy (XLIII/1):5-27.
    Scientists regularly invoke broadly aesthetic properties like elegance and simplicity when evaluating theories, but why should we expect aesthetic pleasure to signal an epistemic good? I argue that aesthetic judgements in science are best understood as a special case of affective cognition, and that the feelings on which these judgements are based are the upshots of metacognitive monitoring of the quality of our engagement with theory and evidence. Finding a theory beautiful fallibly signals that it fits well with our background (...)
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  • Unmasking the truth beneath the beauty: Why the supposed aesthetic judgements made in science may not be aesthetic at all.Cain S. Todd - 2008 - International Studies in the Philosophy of Science 22 (1):61 – 79.
    In this article I examine the status of putative aesthetic judgements in science and mathematics. I argue that if the judgements at issue are taken to be genuinely aesthetic they can be divided into two types, positing either a disjunction or connection between aesthetic and epistemic criteria in theory/proof assessment. I show that both types of claim face serious difficulties in explaining the purported role of aesthetic judgements in these areas. I claim that the best current explanation of this role, (...)
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  • Beauty in Proofs: Kant on Aesthetics in Mathematics.Angela Breitenbach - 2013 - European Journal of Philosophy 23 (4):955-977.
    It is a common thought that mathematics can be not only true but also beautiful, and many of the greatest mathematicians have attached central importance to the aesthetic merit of their theorems, proofs and theories. But how, exactly, should we conceive of the character of beauty in mathematics? In this paper I suggest that Kant's philosophy provides the resources for a compelling answer to this question. Focusing on §62 of the ‘Critique of Aesthetic Judgment’, I argue against the common view (...)
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  • Pythagorean heuristic in physics.Sorin Bangu - 2006 - Perspectives on Science 14 (4):387-416.
    : Some of the great physicists' belief in the existence of a connection between the aesthetical features of a theory (such as beauty and simplicity) and its truth is still one of the most intriguing issues in the aesthetics of science. In this paper I explore the philosophical credibility of a version of this thesis, focusing on the connection between the mathematical beauty and simplicity of a theory and its truth. I discuss a heuristic interpretation of this thesis, attempting to (...)
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  • Dirac and the Aesthetic Evaluation of Theories.J. W. McAllister - unknown
     
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  • Mathematical Beauty and the Evolution of the Standards of Mathematical Proof.J. W. McAllister - unknown