He also believed your soul carries on after death and enters a new body, possibly even an animal's.
The story that he was killed because he refused to run away through a field of beans is probably fake. There's a trope of ancient philosophers getting ironic deaths:
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Archimedes being killed because he was absorbed in his geometry (he told the attacking soldier "don't disturb my circles!")
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Diogenes was notorious for rejecting social norms and acting dog-like. "Cynic" comes from the Greek word for "dog". He died of food poisoning after eating raw octopus, showing you can't really live like a dog.
Lysistrata moment