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jacobolus
Joined 25,212 karma
http://observablehq.com/@jrus

email: me AT jacobrus DOT com


  1. > What is this [Greek notation] about?

    The Greeks "notation" was a diagram full of points labeled by letters (Α, Β, Γ, ...) with various lines connecting them and a list of steps to do with an unmarked ruler and a compass, some of which added new points. But those tools alone can't be used to describe cube roots of arbitrary numbers (or, equivalently, trisections of arbitrary angles).

    > What is this [statisticians' function]?

    The integral of the bell curve (normal distribution) is called its cumulative distribution function (CDF). The CDF of the normal distribution is closely related to a special function called the "error function" erf(x).

    > Is there a good intro to [the symmetry interpretation of the quadratic formula]?

    There's some discussion at Wikipedia's article about the quadratic formula: https://en.wikipedia.org/wiki/Quadratic_formula#By_Lagrange_...

  2. > foreign government maintain 40 colonies within your boundaries with ~200,000 of their colonists?

    Instead of speaking in riddles, can you be more explicit? Which foreign government are we talking about, and who are "their colonists?"

    > no other war [besides WWII is] ever used to belittle and degrade any other people [than Germans]

    This is an absurd claim.

  3. How many do you think were killed then, over those centuries of conflict? Several hundred thousand? What if we include deaths due to famine? How many were forced to migrate? Also several hundred thousand?

    As I said, I'm not an expert; and you are right, it's not easy to find good sources for numbers about this. As far as I can tell were quite a few individual events with tens of thousands of people killed at a time. There were hundreds of recorded major battles.

  4. If Europeans hadn't made it to North America, it's likely that nobody would have invented vaccines or the internet by now. European history would have been unrecognizably different.
  5. The Inquisition was mostly about mopping up the last few practicing Jews and Muslims in the Iberian peninsula, terrorizing them into conversion and conformity.

    Millions of people (on all sides) were killed in the Reconquista, over a few centuries, with many others enslaved, imprisoned, driven out of the peninsula, or forcibly converted. Those who converted to Catholicism were rewarded with centuries of further discrimination and persecution. (Disclaimer: I am not expert enough to know detailed figures here; feel free to search for expert sources if you want something precise.)

    Scattered lightning strikes are not meaningfully comparable to large-scale genocidal war.

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