毫无逻辑的用英语可以说成"illogical"，意思是不合理的、不合逻辑的。这个词来源于拉丁文"illogicus"，意思是"没有逻辑的"。
例句：
It's illogical to think that eating ice cream will help you lose weight. 认为吃冰淇淋能帮你减肥是毫无逻辑的。
His argument was completely illogical. 他的论点完全毫无逻辑。
It's illogical to bepeve in something without any evidence. 相信没有任何证据的事情是毫无逻辑的。