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  1. Morality and Mathematics.Justin Clarke-Doane - 2020 - Oxford, England: Oxford University Press.
    To what extent are the subjects of our thoughts and talk real? This is the question of realism. In this book, Justin Clarke-Doane explores arguments for and against moral realism and mathematical realism, how they interact, and what they can tell us about areas of philosophical interest more generally. He argues that, contrary to widespread belief, our mathematical beliefs have no better claim to being self-evident or provable than our moral beliefs. Nor do our mathematical beliefs have better claim to (...)
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  • Evolutionary Debunking of Moral Realism.Katia Vavova - 2015 - Philosophy Compass 10 (2):104-116.
    Evolutionary debunking arguments move from a premise about the influence of evolutionary forces on our moral beliefs to a skeptical conclusion about those beliefs. My primary aim is to clarify this empirically grounded epistemological challenge. I begin by distinguishing among importantly different sorts of epistemological attacks. I then demonstrate that instances of each appear in the literature under the ‘evolutionary debunking’ title. Distinguishing them clears up some confusions and helps us better understand the structure and potential of evolutionary debunking arguments.
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  • Moral Rationalism.Christopher Peacocke - 2004 - Journal of Philosophy 101 (10):499-526.
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  • Logicism revisited.Alan Musgrave - 1977 - British Journal for the Philosophy of Science 28 (2):99-127.
  • Perceiving Necessity.Catherine Legg & James Franklin - 2017 - Pacific Philosophical Quarterly 98 (3).
    In many diagrams one seems to perceive necessity – one sees not only that something is so, but that it must be so. That conflicts with a certain empiricism largely taken for granted in contemporary philosophy, which believes perception is not capable of such feats. The reason for this belief is often thought well-summarized in Hume's maxim: ‘there are no necessary connections between distinct existences’. It is also thought that even if there were such necessities, perception is too passive or (...)
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  • Ethics, mathematics and relativism.Jonathan Lear - 1983 - Mind 92 (365):38-60.
  • Evolutionary Debunking Arguments.Guy Kahane - 2010 - Noûs 45 (1):103-125.
    Evolutionary debunking arguments are arguments that appeal to the evolutionary origins of evaluative beliefs to undermine their justification. This paper aims to clarify the premises and presuppositions of EDAs—a form of argument that is increasingly put to use in normative ethics. I argue that such arguments face serious obstacles. It is often overlooked, for example, that they presuppose the truth of metaethical objectivism. More importantly, even if objectivism is assumed, the use of EDAs in normative ethics is incompatible with a (...)
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  • Virtues as Perfections of Human Powers: On the Metaphysics of Goodness in Aristotelian Naturalism.John Hacker-Wright - 2020 - Royal Institute of Philosophy Supplement 87:127-149.
    The central idea of Philippa Foot’s Natural Goodness is that moral judgments belong to the same logical kind of judgments as those that attribute natural goodness and defect to plants and animals. But moral judgments focus on a subset of human powers that play a special role in our lives as rational animals, namely, reason, will, and desire. These powers play a central role in properly human actions: those actions in which we go for something that we see and understand (...)
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  • Mathematical necessity and reality.James Franklin - 1989 - Australasian Journal of Philosophy 67 (3):286 – 294.
    Einstein, like most philosophers, thought that there cannot be mathematical truths which are both necessary and about reality. The article argues against this, starting with prima facie examples such as "It is impossible to tile my bathroom floor with regular pentagonal tiles." Replies are given to objections based on the supposedly purely logical or hypothetical nature of mathematics.
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  • Plato. [REVIEW]Raphael Demos - 1939 - Philosophical Review 48 (6):650-651.
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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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  • What do women want in a moral theory?Annette C. Baier - 1985 - Noûs 19 (1):53-63.
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  • Plato on Why Mathematics is Good for the Soul.Myles Burnyeat - 2000 - In T. Smiley (ed.), Mathematics and Necessity: Essays in the History of Philosophy. pp. 1-81.
    Anyone who has read Plato’s Republic knows it has a lot to say about mathematics. But why? I shall not be satisfied with the answer that the future rulers of the ideal city are to be educated in mathematics, so Plato is bound to give some space to the subject. I want to know why the rulers are to be educated in mathematics. More pointedly, why are they required to study so much mathematics, for so long?
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  • Logicism and Neologicism.Neil Tennant - 2013 - Stanford Encyclopedia of Philosophy.
  • What Do Women Want in a Moral Theory?Annette Baier - 1997 - In Roger Crisp & Michael Slote (eds.), Virtue Ethics. Oxford University Press.
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