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arfle comments on Expecting Short Inferential Distances - Less Wrong
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I would sort of expect any woman who showed up with apparently magical powers to be put into the goddess category. Even someone like Aristotle, who probably didn't believe that gods and goddesses literally existed, would be culturally conditioned to treat a woman who appeared to have super-powers with some respect.
How would you implement that? What do we have the tech to build today for a reasonable outlay of money (less than a million euros, for example) that could blow minds in that era?
A plastic bottle out of the trash. It's transparent but flexible and almost weightless. See how well the lid has been made? It makes a water-tight seal.
It might be the most valuable object in Greece.
And then when you've got his attention, show him decimal notation.
And stirrups for his horse. And lances.
Once he's hooked, show him why things float. And how a ball rolling down an inclined plane moves 1, 4, 9, 16 as it accelerates.
Show him Cartesian geometry. And how to play go with lines scratched in the ground and coloured stones. Make a recorder and play him some songs.
He'll teach you Greek.
Show him how to send messages using flashing mirrors. Show him Playfair's cipher. Perspective drawing. How to make a magnifying glass. Newton's cradle. Make a model boat out of bronze.
I suspect in a day in Ancient Greece, you'd see so many easily solved problems that my list would look naive. You don't need modern technology. You need the things that were discovered just after the mediaevals recovered what the Greeks already knew.
This is one of the more interesting approaches to the Connecticut Yankee in King Arthur's Court (as I dub this species of thought problem) - that you don't need any special preparation because your basic background means that you'll spend the rest of your life in the past rushing around yelling 'don't do that, you idiot, do it this way!'
Diplomacy might actually be the best preparation.