Henri Poincaré believed that mathematical
and scientific creativity came from a deep,
unconscious intuition that could not be
captured by mechanical reasoning or formal
systems. He famously wrote about how insights
came not from plodding logic but from sudden
illuminations — leaps of creative synthesis.
But now we have generative AI — models like GPT — that:
- produce poetry, proofs, stories, and code,
- combine ideas in novel ways,
- and do so by processing patterns in massive
datasets, without conscious understanding.
And that does seem to contradict Poincaré's belief
that true invention cannot come from automation.
Henri Poincaré believed that mathematical
and scientific creativity came from a deep,
unconscious intuition that could not be
captured by mechanical reasoning or formal
systems. He famously wrote about how insights
came not from plodding logic but from sudden
illuminations — leaps of creative synthesis.
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