>>11631309you are operating on false premises my friend. mathematics is reducible to logic. i will now reduce it.
due to some strange property of the universe, as long two situations are the same then they are the same. this very meaningful and definitely not trivial fact of life allows us save time when we compare things by only checking easily available information about them to quickly determine if the two things are the same or different. for example a website only needs to check if i know my password to verify my identity, it doesn't have to check me all the way. it can logically deduce that anyone knowing a password known only to me, must be me(as long as that is not a false assumption).
math is an application of this technology. we can prove this without knowing any math! teachers demonstrably use this technology to save precious time from being wasted on individual teaching. simply shove all the kids into a closed room and tell them to obey their orders. now the teacher only has to shout the "instruction" once and every student in range will suffer the consequences. they now belong to the same "class".
if some kids don't respond well to the programming then the teacher, like the website, can deduce that there must be something wrong with them. to find defective students the teacher can use the same technology to "test" students by giving them commands on paper. since every obedient student is an obedient student and they all received the same command their papers must be identical. this lets teachers quickly grade student quality without even knowing the material, just the "password".
after 12 years of screening only the most obedient students remain. some perverts discover they enjoy being ordered and end up going to university, and the worst deviants become teachers where they get paid to dominate little kids.
there you, math has been reduced ;^)