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  1. Deep Disagreement in Mathematics.Andrew Aberdein - 2023 - Global Philosophy 33 (1):1-27.
    Disagreements that resist rational resolution, often termed “deep disagreements”, have been the focus of much work in epistemology and informal logic. In this paper, I argue that they also deserve the attention of philosophers of mathematics. I link the question of whether there can be deep disagreements in mathematics to a more familiar debate over whether there can be revolutions in mathematics. I propose an affirmative answer to both questions, using the controversy over Shinichi Mochizuki’s work on the abc conjecture (...)
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  • The ethics–mathematics analogy.Justin Clarke-Doane - 2019 - Philosophy Compass 15 (1):e12641.
    Ethics and mathematics have long invited comparisons. On the one hand, both ethical and mathematical propositions can appear to be knowable a priori, if knowable at all. On the other hand, mathematical propositions seem to admit of proof, and to enter into empirical scientific theories, in a way that ethical propositions do not. In this article, I discuss apparent similarities and differences between ethical (i.e., moral) and mathematical knowledge, realistically construed -- i.e., construed as independent of human mind and languages. (...)
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  • Metaethical Deflationism, Access Worries and Motivationally Grasped Oughts.Sharon Berry - 2024 - Ethical Theory and Moral Practice 27 (3).
    Mathematical knowledge and moral knowledge (or normative knowledge more generally) can seem intuitively puzzling in similar ways. For example, taking apparent human knowledge of either domain at face value can seem to require accepting that we benefited from some massive and mysterious coincidence. In the mathematical case, a pluralist partial response to access worries has been widely popular. In this paper, I will develop and address a worry, suggested by some works in the recent literature like (Clarke-Doane, 2020 ), that (...)
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  • (1 other version)Laughing Matters: Prolegomena.Giorgio Baruchello & Ársæll Már Arnarsson - 2023 - De Gruyter.
    The present book addresses the background, rationale, general structure, and particular aims and arguments characterizing our third and last volume about "humor" and "cruelty". A guiding foray is provided into the vast expert literature that can be retrieved in the Western humanities and social sciences on these two terms. Pivotal thinkers and crucial notions are duly identified, highlighted, and examined. Apposite subsidiary references are also included, especially with regard to psychodynamics and clinical psychology, existentialism, feminism, liberalism, Marxism, and representative recent (...)
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  • (1 other version)Laughing Matters: Theses and Discussions.Giorgio Baruchello & Ársæll Már Arnarsson - 2023 - De Gruyter.
    Part 2 of Volume 3 addresses in detail the conflicts between humor and cruelty, i.e., how cruelty can be unleashed against humor and, conversely, humor can be utilized against cruelty. Potent enmities to mirth and jollity are retrieved from a variety of socio-historical contexts, ranging from Europe’s medieval monasteries to the 2015 Charlie Hebdo massacre. Special attention is paid to the cruel humor and humorous cruelty arising thereof, insofar as such phenomena can reveal critical aspects of today’s neoliberal socio-economic order. (...)
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  • The Multiverse View and Set-Theoretic Practice.Deborah Kant - forthcoming - Kriterion – Journal of Philosophy.
    Hamkins’ multiverse view is a prominent position on the nature of set theory. It is posited against the universe view and proposed as a philosophical theory explaining current set-theoretic practice. This paper confronts the multiverse view with the results of an interview study investigating current set-theoretic practice. The study reveals a heterogeneity of set-theoretic research practices. The multiverse view is found to align well with pluralist research practices but not with absolutist practices. The generalisation claim of the multiverse view fails (...)
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  • The Debunking Project. Developing a Framework for the Scope and Requirements of Successful Evolutionary Debunking Arguments.Philippe Biermann - 2025 - Bielefeld: Bielefeld University.
    This dissertation explores the theoretical and empirical foundations of Evolutionary Debunking Arguments (EDAs), a critical philosophical type of argument used to challenge realist positions across various domains, notably morality. The dissertation systematically analyzes how EDAs function, what they require as minimal empirical input, what their scope and limits are, and how they can be successfully applied to domains beyond morality. -/- By investigating the empirical credibility of evolutionary psychology and the epistemological consequences of belief formation through natural selection, the dissertation (...)
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