Learn English – Word to define person with bad social skills

Learning as a noun is very unnatural. Using it would instantly mark you as someone who speaks English as a second language. The appropriate noun to use is lesson. I don't think there is any logical reason why it is unnatural, because, as is so often the case, language is unpredictable.

You say that lesson or lessons implies intentionality, but this is not the case. Neither does the verb to learn imply an intentional teacher. This is asymmetrical: both to teach and teachings are intentional, but it is equally valid to say that something was learnt in intentional and non-intentional contexts.

The ability of fish to breath in water would not be considered something that is learnt - it is simply innate. Other animals certainly do learn, and can be taught. As with humans, it is appropriate to say that animals can learn skills even when not being intentionally taught.

1. sage

Ken Jennings is a very sage man. He won 74 editions of the Jeopardy! Game Show.

One of the meanings from dictionary.com:

wise, judicious, or prudent

2. savvy

Ken Jennings is a very savvy man. He won 74 editions of the Jeopardy! Game Show.

One of the meanings from dictionary.com:

experienced, knowledgeable, and well-informed; shrewd

3. astute

Ken Jennings is a very astute man. He won 74 editions of the Jeopardy! Game Show.

One of the meanings from dictionary.com:

clever; cunning; ingenious; shrewd

4. adroit

Ken Jennings is a very adroit man. He won 74 editions of the Jeopardy! Game Show.

One of the meanings from dictionary.com:

cleverly skillful, resourceful, or ingenious

As already listed, eclectic and erudite would also work very well.