• 14 Posts
  • 22 Comments
Joined 3 years ago
cake
Cake day: July 18th, 2021

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  • lol I see how this shower-thought can seem obvious.

    What lead to the shower-thought was thinking about dimensions in linear algebra. If you want to represent a function with more parameters, you need more dimensions.

    For example, two parameters could be represented by ax + by = c where a, b, and c are constants and x and y are real numbers. Note that this equation describes a 2-D plane. Three parameters would require an additional variable and an associated constant: ax + by + cz = d, where d is an additional constant and z is an additional real number. Note that this equation describes a 3-D space.

    Can you see how if you wanted to represent four parameters, you would need four dimensions?

    However, facet plots seem to override this need for more dimensions in a particular way: splitting up axes, like cutting up a cake. If you have four parameters (in which two of them can only take up discrete values), instead of requiring four dimensions, you can split up two dimensions in discrete chunks, like a cake, and represent four parameters in two dimensions. That was interesting for me to realize.

    I guess for cake-cutters, this post is silly and trivial. But for someone trained to think “more parameters = more dimensions in the sense of going from ax + by = c to ax + by + cz = d”, it was surprising to realize facet plots break that rule.



  • In case you’re curious about why I’m saying what I’m saying: here’s what I said in another comment:

    In the socialization process, I think there’s a tension between the already-existing abstract world that language conveys, and the flexibility and creativity that kids have. I say that because I was reading a book on wonder, and how children are immensely curious. However, over time, socialization can lead to the internalization of rigid identities and worldviews. In effect, older people are much less curious because they believe they know exactly who they are and believe they already have good-enough answers to the questions they care about.

    That is what makes me wonder if the reason for the new slang that comes from young people has to do with the experimentation that young people do with their identities as well as the lack of internalization of rigid identities and worldviews. In other words, if I am a child and I don’t have a (relatively) rigid mind, to what extent could that explain my slang?