Titlebook: Handbook of the History and Philosophy of Mathematical Practice; Bharath Sriraman Reference work 2024 Springer Nature Switzerland AG 2024

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Piotr Błaszczykstudied in Computational Mathematics from the prestigious Fudan University (复旦大学) in Shanghai. After he obtained a Bachelor degree, he worked in Fudan University as an Associate Lecturer and a Master student. In 1987 Da came to Belgium to work towards a PhD under the supervision of Prof. E. Kerre. I

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Introduction to the Handbook of the History and Philosophy of Mathematical Practice to do so, the 100+ chapters spanning 3200+ pages in four volumes examine our collective mathematical practices over time and ways in which this shaped its history and philosophy. “Mathematical practice” is left as an undefined term in order to allow the reader to conceptualize it in whatever way th

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The Nature of Mathematical Objects considers the main answers that have been given to this question, specifically those according to which mathematical objects are independently existing entities, or abstractions, or logical objects, or simplifications, or mental constructions, or structures, or fictions, or idealizations of sensibl

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The Ghost and the Spirit of Pythagorastime. Arguably, the greatest discovery of Pythagorean mathematics of (sixth-fifth century BC) was that of the incommensurability of the side and the diagonal of the square. This discovery established the complex relationships between geometry and arithmetic and, correlatively, the possibility of a t

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Mathematical Practices Can Be Metaphysically Ladenhe set-theoretic pluralism debate, in which set theorists disagree about the implications of their formal mathematical work. As a first case study, I discuss how Woodin’s monist argument for an Ultimate-L feeds on and is fed by mathematical results and metaphysical beliefs. In a second case study, I