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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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  • The beautiful and the sublime in natural science.Peter K. Walhout - 2009 - Zygon 44 (4):757-776.
    The various aesthetic phenomena found repeatedly in the scientific enterprise stem from the role of God as artist. If the Creator is an artist, how and why natural scientists study the divine art work can be understood using theological aesthetics and the philosophy of art. The aesthetic phenomena considered here are as follows. First, science reveals beauty and the sublime in natural phenomena. Second, science discovers beauty and the sublime in the theories that are developed to explain natural phenomena. Third, (...)
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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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  • Aesthetic and Other Theoretical Virtues in Science.Jason Simus - 2009 - American Society for Aesthetics Graduate E-Journal 1 (2):9-16.
    I first provide an introduction to a neglected topic in contemporary aesthetics: intellectual beauty. I then review James McAllister’s critique of autonomism and reductionism regarding the relation between empirical and aesthetic criteria in scientific theory evaluation. Finally, I critique McAllister’s “aesthetic induction” and defend an alternative model that emphasizes the holistic coherence of aesthetic and other theoretical virtues in scientific theorizing.
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  • Towards a metaphorical biology.R. C. Paton - 1992 - Biology and Philosophy 7 (3):279-294.
    The metaphorical nature of biological language is examined and the use of metaphors for providing the linguistic context in which similarities and differences are made is described. Certain pervasive metaphors which are characterised by systemic properties are noted, and in order to provide some focus to the study, systemic metaphors associated with machine, text and organism are discussed. Other systemic metaphors such as society and circuit are also reported. Some details concerning interrelations between automaton and organism are presented in the (...)
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  • An examination of some metaphorical contexts for biologically motivated computing.R. C. Paton, H. S. Nwana, M. J. R. Shave & T. J. M. Bench-Capon - 1994 - British Journal for the Philosophy of Science 45 (2):505-525.
    Biologically motivated computing seeks to transfer ideas from the biosciences to computer science. In seeking to make transfers it is helpful to be able to appreciate the metaphors which people use. This is because metaphors provide the context through which analogies and similes are made and by which many scientific models are constructed. As such, it is important for any rapidly evolving domain of knowledge to have developments accounted for in these terms. This paper seeks to provide one overview of (...)
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  • Aesthetic values in science.Milena Ivanova - 2017 - Philosophy Compass 12 (10):e12433.
    Scientists often use aesthetic values in the evaluation and choice of theories. Aesthetic values are not only regarded as leading to practically more useful theories but are often taken to stand in a special epistemic relation to the truth of a theory such that the aesthetic merit of a theory is evidence of its truth. This paper explores what aesthetic considerations influence scientists' reasoning, how such aesthetic values relate to the utility of a scientific theory, and how one can justify (...)
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  • Beauty Is Not Simplicity: An Analysis of Mathematicians' Proof Appraisals.Matthew Inglis & Andrew Aberdein - 2015 - Philosophia Mathematica 23 (1):87-109.
    What do mathematicians mean when they use terms such as ‘deep’, ‘elegant’, and ‘beautiful’? By applying empirical methods developed by social psychologists, we demonstrate that mathematicians' appraisals of proofs vary on four dimensions: aesthetics, intricacy, utility, and precision. We pay particular attention to mathematical beauty and show that, contrary to the classical view, beauty and simplicity are almost entirely unrelated in mathematics.
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  • Quantum field theories and aesthetic disparity.Gideon Engler - 2001 - International Studies in the Philosophy of Science 15 (1):51 – 63.
    The theoretical physicist Paul Dirac rejected, explicitly on aesthetic grounds, a successful theory known as quantum electrodynamics (QED), which is the prototype for the family of theories known as quantum field theories (QFTs). Remarkably, the theoretical physicist Steven Weinberg, also largely on aesthetic grounds, supports QED and other QFTs. In order to evaluate these opposing aesthetic views a short introduction to the physical properties of QFTs is presented together with a detailed analysis of the aesthetic claims of Dirac and Weinberg. (...)
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  • Are Aesthetic Judgements Purely Aesthetic? Testing the Social Conformity Account.Matthew Inglis & Andrew Aberdein - 2020 - ZDM 52 (6):1127-1136.
    Many of the methods commonly used to research mathematical practice, such as analyses of historical episodes or individual cases, are particularly well-suited to generating causal hypotheses, but less well-suited to testing causal hypotheses. In this paper we reflect on the contribution that the so-called hypothetico-deductive method, with a particular focus on experimental studies, can make to our understanding of mathematical practice. By way of illustration, we report an experiment that investigated how mathematicians attribute aesthetic properties to mathematical proofs. We demonstrate (...)
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  • Beauty.Jennifer A. McMahon - 2019 - Oxford Bibliographies Online: Philosophy.
    This is an 18,500 word bibliography of philosophical scholarship on Beauty which was published online in the Oxford Bibliographies Online. The entry includes an Introduction of 800 words, 21 x 400-word sub-themes and 168 annotated references. INTRODUCTION Philosophical interest in beauty began with the earliest recorded philosophers. Beauty was deemed to be an essential ingredient in a good life and so what it was, where it was to be found and how it was to be included in a life were (...)
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