You need to be careful how you phrase that. Natural languages haven’t always evolved consistently, and English is perhaps one of the worst offenders in terms of structural inconsistency. Among thousands of examples: “invalid” is the opposite of “valid” (and confusingly also refers to a disabled person), but “invaluable” is not the opposite of “valuable” and means “extremely valuable”.
But as you said yourself over here, making an astute point about the emergent intelligence of large language models that I’ve heard before and completely agree with, there is an important sense in which linguistic skills are intimately coupled to reasoning skills. So yes, the specific structures of a language are not “logic” and are sometimes downright illogical, but there’s nevertheless a strong correlation between the ability to use language well and the ability to reason logically:
There is a relationship between language skills and thinking skills. Research has shown that language proficiency is correlated with logical reasoning and academic performance …
… Additionally, there is a positive correlation between language use, linguistic competence, and critical thinking, suggesting that language use enhances linguistic and cognitive abilities. Overall, these findings suggest that language skills and thinking skills are interconnected and influence each other.
Is there a relationship between language skills and thinking skills? | 5 Answers from Research papers (typeset.io)