What sort of reasoning is this?
Nonsense; outrageous; preposterous; ridiculous
Negative
真是岂有此理！他有什么权力来管我的家事 | Zhēnshi qǐyǒucǐlǐ! Tā yǒu shénme quánlì lái guǎn wǒ de jiāshì
This is ridiculous! What right does he have to interfere with my family affairs?
[Source]
你身为国家干部，竟然不敢揭发小偷，真是岂有此理 | Nǐ shēn wèi guójiā gànbù, jìngrán bù gǎn jiēfā xiǎotōu, zhēnshi qǐyǒucǐlǐ
You are a government cadre, and yet you don't even dare to expose thieves. Where's the logic in that?
[Source]
None
None
This is an HSK chengyu
《南齐书》(Nán Qí Shū), a work by 萧子显 (Xiāo Zǐ Xiǎn) of the Liáng Dynasty (梁, 502 - 557) during the Northern and Southern Dynasties (南北朝 | Nán Běi Cháo | 420 - 589). The work is often known in English as the "Book of Qi" or the "Book of Southern Qí," and it unsurprisingly details the history of the dynasty
This chengyu comes from a line in the work listed in the "Origin" section above