An important practical problem plus an attractive technical formulation generate an exciting research discipline, with funding, journals, conferences, and the appearance of interesting incremental results. Usually this is all wasted because fundamental assumptions are false.
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Are you aware of the Bourbaki group’s attempt to systematise all of mathematics starting in the early 20th century?
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Thanks, yes… that was a response to a foundational crisis (paradoxes of infinite sets) of this sort; good example!
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Thanks David. That's a great paper that applies well beyond AI.
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