Next idea: take some phrases, translate them into Greek/Latin/both, fiddle around until we find something that sounds good as (all or part of) a name.

It could be worthwhile trying out the matrix of possibilities across languages given by pairing two nouns from the set {art, rationality, virtue, science, knowledge, practice, thinking, etc.}

Poor examples:

• The Sophognosis Institute- "the knowledge of knowledge"
• The Cognopraxis Institute- "the practice of thinking"