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137 | Justin Clarke-Doane on Mathematics, Morality, Objectivity, and Reality

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas

CHAPTER

Reality, Mathematics, and Philosophical Tensions

This chapter examines the intricate relationship between reality, mathematics, and philosophical perspectives, such as Humeanism and nominalism. It challenges the notion of mathematical realism and explores the tension between mathematics and empirical sciences, discussing the necessity of mathematical constructs in scientific theories. The conversation further delves into the complexities surrounding existence in mathematics and morality, drawing parallels between mathematical and moral realism while highlighting the distinct nature of ethical deliberation.

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