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The Beauty (?) of Mathematical Proofs

In Andrew Aberdein & Matthew Inglis (eds.), Advances in Experimental Philosophy of Logic and Mathematics. London: Bloomsbury Academic. pp. 63-93 (2019)

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  1. Proof, Explanation, and Justification in Mathematical Practice.Moti Mizrahi - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 51 (4):551-568.
    In this paper, I propose that applying the methods of data science to “the problem of whether mathematical explanations occur within mathematics itself” (Mancosu 2018) might be a fruitful way to shed new light on the problem. By carefully selecting indicator words for explanation and justification, and then systematically searching for these indicators in databases of scholarly works in mathematics, we can get an idea of how mathematicians use these terms in mathematical practice and with what frequency. The results of (...)
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  • The Value of Surprise in Science.Steven French & Alice Murphy - 2023 - Erkenntnis 88 (4):1447-1466.
    Scientific results are often presented as ‘surprising’ as if that is a good thing. Is it? And if so, why? What is the value of surprise in science? Discussions of surprise in science have been limited, but surprise has been used as a way of defending the epistemic privilege of experiments over simulations. The argument is that while experiments can ‘confound’, simulations can merely surprise (Morgan, 2005). Our aim in this paper is to show that the discussion of surprise can (...)
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  • On the Wellbeing of Aesthetic Beings.Sherri Irvin - forthcoming - In Helena Fox, Kathleen Galvin, Michael Musalek, Martin Poltrum & Yuriko Saito (eds.), Oxford Handbook of Mental Health and Contemporary Western Aesthetics. Oxford University Press.
    As aesthetic beings, we are receptive to and engaged with the sensuous phenomena of life while also knowing that we are targets of others’ awareness: we are both aesthetic agents and aesthetic objects. Our psychological health, our standing within our communities, and our overall wellbeing can be profoundly affected by our aesthetic surroundings and by whether and how we receive aesthetic recognition from others. When our embodied selves and our cultural products are valued, and when we have rich opportunities for (...)
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  • Thought Experiments and the Scientific Imagination.Alice Murphy - 2020 - Dissertation, University of Leeds
    Thought experiments (TEs) are important tools in science, used to both undermine and support theories, and communicate and explain complex phenomena. Their interest within philosophy of science has been dominated by a narrow question: How do TEs increase knowledge? My aim is to push beyond this to consider their broader value in scientific practice. I do this through an investigation into the scientific imagination. Part one explores questions regarding TEs as “experiments in the imagination” via a debate concerning the epistemic (...)
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