[suvelx]

Perhaps to test this, you could have two sets of identical statues.

Two dolphins need to interact with the matching statues together to get food.

If you followed the 'five monkeys and a ladder with a banana' experiment and found two dolphins who worked it out. Replace one with another. Presumably one will try and teach the other.

With enough dolphins and statues, you might be able to use the similar methods you'd use to break simple cryptography to work out what part of the communication is about the statue.

Or, you'll find out every dolphin talks to every other dolphin differently. And then and then the government bans dolphins out of fear of being unable to intercept dolphin based communications.

[jack9]

> Presumably one will try and teach the other.

IIRC this has already been tried and demonstrated to happen. This is the first thing that google came up with, but I'm sure Scientific American has also covered the teaching behavior.

http://www.earthintransition.org/2011/09/dolphins-teach-each...