A History of Folding in Mathematics : Mathematizing the Margins. 1st ed. 2018

種類:

電子ブック

責任表示:

by Michael Friedman

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2018

著者名:

• Friedman, Michael.
• SpringerLink (Online service)

シリーズ名:

Science Networks. Historical Studies ; 59

ISBN:

9783319724874 [3319724878]    

注記:

Introduction -- From the 16th Century Onwards: Folding Polyhedra. New Epistemological Horizons? -- Prolog to the 19th Century: Accepting Folding as a Method of Inference -- The 19th Century – What Can and Cannot be (Re)presented: On Models and Kindergartens -- Towards the Axiomatization, Operationalization and Algebraization of the Fold -- The Axiomatization(s) of the Fold -- Appendix I: Margherita Beloch Piazzolla: “Alcune applicazioni del metodo del ripiegamento della carta di Sundara Row” -- Appendix II: Deleuze, Leibniz and the Unmathematical Fold -- Bibliography -- List of Figures.
While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is the cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length the cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an

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