>>9576189"Formal logic, the abstract study of propositions, statements, or assertively used sentences and of deductive arguments."
It has always been a science, just because you don't know what science means and grew up today just doesn't change what the Arts are or how they were seen a long time ago or not so long ago.
Formal logic is also a language.
Hope your cognitive dissonance and lack of ambiguity tolerance can deal with that.
Your grasp of language is really bad and you probably only mastered one language in your life, there is a reason it helps a lot if you do, leads to thoughts on language you could not have without that experience.