Wednesday, December 13, 2023

Course Overview

I learned a lot in this course. I especially liked the classes when we learned about the ancient ways of doing math that are so alien to us. With writing systems so different, I would think that their thinking process would have had to of been different as well. I remember learning that the Mesopotamian's did not have the concept of angle, and had to think of different ways to solve problems. Who is to know if we are missing some glaringly obvious construct and are therefore limited in our understanding of our world?

I liked when Susan brought up the point that no one knows what do do when dividing by 0. It broke my brain, and now I wonder if this is the symptom of an imperfect math system. I also think of Goidel's incompleteness theorem, and about how there is a hole in maths. I wonder if this hole's existence is also a symptom of the same thing? Perhaps the students in 442 two hundred years from now will learn about us, and how we were so glaringly missing something that it seems incomprehensible to not understand.

1 comment:

  1. Thanks Evan! Lots to think about here -- so interesting that our knowledge of the world always seems complete (within the different ages of our own lives and within our cultures), until we suddenly find out that there were holes in it! I find this fascinating.

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