岂有此理

岂有此理

Literally means:

what kind of logic is this

Actually means:

岂, what or how. The phrase is used as a rhetorical question, meaning "what kind of logic is this?"

The rhetorical mood here is to emphasize one's indignation or accusation. When it is not used as a question, this phrase indicates a strong denial, meaning total nonsense or outrageous.

岂，哪，怎么。用来表示反问。

岂有此理，哪里有这个道理。用反问的语气表示对不合理事情的气愤或指责。不用来反问时，表示强烈的否定，意思是毫无道理。