Bodies, Incorporeals, and the Birth of a Mathematical Diagram

Ricardo Nemirovsky

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Chapter 2 Bodies, Incorporeals, and the Birth of a Mathematical Diagram

In: The Body in Mathematics

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Ricardo Nemirovsky

Ricardo Nemirovsky
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Type:: Chapter

Pages:: 15–47

DOI:: https://doi.org/10.1163/9789004717701_002

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Abstract

The chapter focuses on the work of two students, Gabriella and Marcos, during an activity which was part of a college course on projective geometry. The students addressed the question of how a parabola gets projected on a plane perpendicular to it. The parabola was traced by a 200-meter rope laid down on a football field. To obtain the projection the students used a tool we call “Alberti’s Window”. The paper argues that imaginaries or incorporeals are indispensable for mathematical insights and elaborates on the nature of two kinds of incorporeals: sense and emptiness.

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The Body in Mathematics

Theoretical and Methodological Lenses

Series: Mathematics Teaching and Learning, Volume: 7

E-Book ISBN:: 9789004717701

Publisher:: Brill

Print Publication Date:: 25 Dec 2024

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- Education
  - Mathematics Education

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Chapter 2 Bodies, Incorporeals, and the Birth of a Mathematical Diagram

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The Body in Mathematics

Theoretical and Methodological Lenses

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