well, okay)
another night... mm... "sharpening my writing skills":)

first, in school, they write letters in copybooks, and only then do they start adding apples and candies... mathematics is the science of proofs and theorems; if you don't know the language and can't speak, you won't be able to prove anything or answer anything...

this is what it's like standing at the blackboard) but you can mentally and intuitively feel and calculate something, even if you can't express it in words.
and, by the way, they start by teaching letters from a primer, then numbers and words, and only then do they start writing squiggles in notebooks)

excuse me for using "you"

no problem, I'm not a pensioner) using "you" is quite natural.

does it teach you to think??? crosswords also teach you to think... and don't books develop thinking and memory - that's the main thing... most of the information our brain absorbs comes from books and communication...

crosswords don't teach you to think, they just make you rummage through your memory and subconscious in search of the right word... if you put the question that way, then perhaps Sudoku develops thinking..
books do provide the main information. but how do you apply it? then the "mathematical" centers start working. and then, you need to apply it to something.

so we've dealt with the language barrier.

you won't get away with this set of disjointed phrasesnot quite :D
but I don't see any clarifications)

Sunshine, where have you been? well, you can, of course, communicate all your life with simple words and sentences (even at the level of 3rd grade) - yes, but many people, hearing your communication at the level of 5-11th grade, will not take you seriously (here I mean some personality, not you specifically)...

oh... don't exaggerate, please. the fact that people's interests vary with age does not necessarily mean that "the younger, the dumber."
I was talking about the classes themselves. there was nothing new in them for 6 years. we wrote dictations, broke down words into their components, "studied orthography." but in all 6 years, almost no results were achieved in the teacher's miracle teaching from the students. and it's not surprising, year after year - the same "n, nn," "zhi-shi," commas, etc.
that is, the program did not become more complex. and in the first grades, we also studied parts of speech, cases, conjugations, and so on, and that was new.
that's why I said that at some point, language development comes to a standstill, while mathematics continues to open up new horizons, which means it develops a person. and at least provides him with new information.

"new ways to solve"??? are these new, unproven theorems??? axioms?

no, new ways to solve are previously unknown and untested methods for that person. a clear example is analytical, graphical, and recursive methods..
moreover, the problems that a person faces are sometimes very different, and he gains experience somewhere that he can use in other cases.
while expressing thoughts through speech or writing is essentially always the same, and an alternative arises only when choosing the right definitions/rhymes, limited only by the poverty of the language. if there were no such restrictions, the flow of words would be uncontrollable and would require a minimum of effort - to remember how this or that phenomenon/object/quality, etc. is designated.
... fortunately, we're not talking about heroes and chess here. and the basis of all this is logic, which is... a branch of rational, mathematical thinking.
so this is just a discussion.

Mathematics is a weapon...
Language is politics...
If you can negotiate, do you need a weapon?

a very eclectic statement.
mathematics is logic and the search for rational solutions in order to be able to negotiate.
language is scarier than a gun;)
and to top it off, a low blow (although it would hurt me much more:)) - mathematics is the Mother of All Sciences^__^
it is cyclopean and all-encompassing. words, speech are an ordered series of symbols. symbols, as well as the systematization of something, are all mathematics.
if a Dryopithecus saw two separate trees growing in parallel, not having speech, he could not name them in any way. well, maybe "ugauht," or something like that. and even then, it's not really a definition. rather, it's an "intuitive impulse." seeing two other trees, he might even forget about it...
but the point is? the point is that he still understood that they were parallel, that they did not intersect, even if he did not have the words and definitions for it.
that's how it is.

yes, I like katanas;)
I am, after all, a samurai:)
I also like staffs)

Added 11 minutes ago

They didn't teach you that brevity is the soul of wit... okay, I'll decipher... sorry for the sharpness, I get hot-headed in arguments...

they did, and how)
it's just that sometimes demagoguery just begs to come out. especially - such an interesting topic, in which you can express a lot.
..and don't be shy, a lively and heated conversation is much more pleasant than a dry and unemotional one.