There is even a latin phrase for it: solvitur ambulando.

https://en.wikipedia.org/wiki/Solvitur_ambulando

This is not what this means. This is not, "had an idea by walking", this means, I can prove the absurdity of certain philosophical ideas by just common sense observation (roughly).

I merely thought it interesting to say that the literal translation vs. the philosophical application (the link) would add to the interpretation and discussion of the posted article.

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Solvitur bibando is Balmer’s peak?

Alcohol is not the solution.

Alcohol is the solvent. It dissolves the problem into a solution.

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Nice, new to me. Similar in meaning to "cut the Gordian knot"

Is there one for showering?

They didn’t have showers, but you may recall Archimides shouted “Eureka!” after a famous bath time discovery

auri imbres