@Justin CaseThis is one of my favorite topics! I absolutely get your sense of disgust and distrust of changes in the language! Which is why it's so interesting that you are as fundamentally wrong about language as anyone can be!
I'm not insulting you, the clash between tradition and evolution is what makes this topic intriguing, and if you weren't there to clash with, then things would be boring, and possibly catastrophic.
Welcome to Night Vale is a podcast about a radio show from a Lovecraftian hellscape. Each episode ends with a pithy mixed up proverb that says something strange about the world. For example: "Dance like the government is watching." as a play on the joy seeking: "Dance like no one is watching."
However one of these proverbs just hits my thesis's nail on the head:
Language is going to change, irregardless of your attempts to literally lock it away in the tallest tower. Obvs.
When I first heard/read it: I found the 'irregardless' and 'literally' cute. 'Obvs' was a kick in the teeth.
English is a world conquering language because it is built from the bottom to the top. There are rules. There are dictionaries. They reflect the negotiated use of the language in the culture.
Grab a novel from the 80s, compare it to a novel from the 40s. The backbone is there, but the language has changed. You can pick out which decade a novel was written in by the way it describes women. Because the culture negotiates the definitions of words. To pretend the best language 200 years ago and the best language 200 years from now will be easily understood or close to matching is murdered by the existence of Shakespeare.
Originally, language was shared locally. And so changes in one vernacular might reach a neighbor slower, or never. That's why the geographical radii of English accents is so much smaller in Britain than in North America. In fact why East Coast American accents are more localized than West Coast accents.
These exchanges extended and accelerated with all kinds of technological improvements. Radio, movies, TV, and now, the internet. There are also fewer bureaucrats between language traders on the internet, and a network TV show. The language is bound to evolve faster.
French defines its language from the top down. English negotiates its language from the bottom up. That makes English more dynamic and adaptive. Consider English a generalist omnivore black bear to French's self-poisoning bamboo-only panda.
This means there most fundamentally is an Urban Dictionary.
George Carlin's words you can't say on television aren't even todays worst swear words. Fuck, Cunt, Motherfucker, Cocksucker are all somewhat defanged. While slurs grow more and more taboo. -- John McWhorter's Nine Nasty Words is a beautiful read on our cuss words. It's basically the Fuck book but it also explains how the vernacular changes through the evolution and distribution of our swear words.
So what place does structured grammar and well defined terms have? A big one. You still want to be understood. But if you're telling a story, and you stick a stick up the ass of natural believable speech in order to elevate The Queen's English, you'll create a disconnection between the audience and the scene. However, if you write something impenetrable because you are in fact butchering the language, that's probably worse.
As I said, the language is negotiated. It's not chiseled into stone. It's a forever evolving project that ends never.
That said, there is a place for very very clear and well defined definitions. You mentioned math. Professional language, especially in fields like STEM, medicine, and law are incredibly important. However, there is a danger to well defined jargon. A bit of jargon from unscrupulous actors can talk around someone by using the same words, but not the same dictionary.
My favorite example of this is "Black people cannot be racist." Racist in this connotation is an academic buzzword that means "A system or structure of society in which the ruling power of whiteness (also divorced from its distributed understood meaning) is used to marginalize and exclude people of color." If you believe racist means: "Bigoted based on ethnicity and/or skin color." you would suffer the run around by their meanings and cause a fight where they can just call you racist. (At this point their meaning hardly matters.)
Mastering the language is a terrific skill. It allows you to communicate ideas and emotions more clearly and/or more evocatively, however mastering also means not calcifying yourself to the way things have always been.
John McWhorter's books on language are great to understand this topic better. I also recommend Jonathan Haidt's The Righteous Mind - it isn't about language. It's about the subdivisions or foundations of morals people use to understand the world. The sanctity/degradation foundation explains a lot of our immediate disgust reactions to new or improper language.
In the end, like all things, there must be balance. Go all in on the right way and you become more Panda than Black Bear. But if you have 0 respect for the sacred, you'll lose all grip on the machine and speak gibberish that only you and your closest morons can ever pretend to understand.
In conclusion:
Language is going to change, irregardless of your attempts to literally lock it away in the tallest tower. Obvs.