¶ Spherical Triangle Sequence (1)
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Index Entry
Spherical Triangle Sequence:
"I spoke to you earlier today about our teacher at the school giving us some arithmetic and then saying she was going to teach us a little bit about plane geometry. She said, ‘Don’t worry, it’s just plane geometry.’ Then she taught us about the triangle as an area bound by closed lines: three edges and three angles. A circle is an area bound by a closed line of equal radius from a point. A square is an area bound by a closed line of four equal edges and four equal angles. Everything we learned about geometry were areas bound by closed lines. And then we learned about logic within those closed lines about that area. Reliability and understandability was all on one side of the line. A very nice small tight package, but it couldn’t tell us anything about the other side of the line. Why? Because it is plane geometry and goes to infinity so the other side of the line is undefinable. What do you mean by infinity? It’s infinite, therefore it can’t be defined. So that we start the children off with this extraordinary prejudice that only on one side of the line is there reliability.
“Your family is very reliable. The next family over there is”
