The technical term is sortition. And it is my pet unorthodox political position. The legislature should be replaced with an assembly of citizens picked by lottery.
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Now, the idea of electing a few thousand representatives and having sortition determine who is actually selected is something I could feasibly get behind.
Here in the US, we use randomized groups of citizens to determine who gets locked away potentially for life or executed. Does a jury of peers also scare the heck out of you?
Those are screened.
Someone like https://youtu.be/00q5cax96yU?t=60 could be selected without some additional constraints than plain sortition. Ofc then those constraints are politicized.