2023-05-07

0: The Table of Contents of the Series, 'School Mathematics from Higher Viewpoints'

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Table of Contents


1: Why Is Negative Number Multiplied by Negative Number Plus?
Just a definition by a mathematician? But there should be some good reasons for adopting the definition.
2: Why Are Mirror Images Regarded to Be Congruent in Plane Geometry?
Just a definition by a mathematician? But there should be some good reasons for adopting the definition.
3: What Are Discrete? What Are Continuous?
Water is not continuous, because it is made of molecules. Even if we ignore the fact, "Water is continuous." is mathematically nonsense.
4: Are You Talking About Sets or About Collections?
Japanese schools talk about "shugo"s, but are they sets or collections?


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