This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

n. The character or state of being recondite; profound or hidden meaning.

n. the quality of being unclear or abstruse and hard to understand

n. wisdom that is recondite and abstruse and profound

"Among them are classical mythologic ones of the class known only to that himself mythical character, Macaulay's every schoolboy, which speaks conclusively for their reconditeness."

incomprehensibility    wisdom