How do we systematize the unknown?
Typical of this is Mendeleev's discovery of the periodic table. He did not systematize the known. He considered what unknowns must be assumed to bring order to the known elements.
Memo for consideration of Systematization of the Unknown from Hatena2010-06-11.
"Make a list: what is known now is not everything."
"There is an order: there is no correct and only order."
"There are exceptions: removing exceptions by introducing new elements."
"There is a value: abstraction. Zero -> real constant -> function, probability distribution, complex number etc."
"I don't understand regularity: observe simple examples and find regularity."
"Lots of variety: could it be a combination of lesser components?"
"A or B: Can't we just combine them?"
I brainstormed alone yesterday and came up with this much
"A or B: Can't we just combine them?" - choosing the wrong two options.
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