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Focusing on the process of mathematical discovery, this book introduces a heuristic philosophy of mathematics as a counterpoint to traditional views that limit philosophy to completed works. It critiques the mainstream perspective that equates mathematics solely with theorem proving through the axiomatic method, highlighting its inadequacy in light of Gödel's incompleteness theorems. By emphasizing the creation of mathematics, the author argues for a more comprehensive understanding that encompasses the dynamic nature of mathematical practice and its foundational concepts.
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The Making of Mathematics, Carlo Cellucci
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- 2022
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