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Joined 2 years ago
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Cake day: June 18th, 2023

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  • Paying education loans even after 20 years of working in public service? Seems like a failure of the education system. I’m from Europe, also been to India a lot on business, and never have I seen anything of this magnitude. You can get a good education even in India for a very nominal tuition fee that middle-class parents are also able to cover without taking out loans. For poor families, it’s virtually nothing in good state universities. The idea is that education will empower even the poor and they’ll be able to get a good job and become tax paying citizens. Not like if you’re poor, we’re still gonna crush the heck out of you with more debt. The latter seems to be the strategy employed in the US. In most European countries, education is virtually free covered by taxes. Of course taxes are high but it benefits everyone in terms of healthcare and education. Is that really so bad? Isn’t it the government’s job to make sure EVERYONE has access to good healthcare and education? Then why does it feel that it is a money-oriented corporation running the country rather than a government?

    Sorry, went on a rant there. Whenever I see something like this it just makes my blood boil. Teachers, firefighters, nurses still paying student loans after a decade or two, that’s a failure of the education system right there.











  • As you said, we have infinite numbers so the fact that something works till 4x10^18 doesn’t prove that it will work for all numbers. It will take only one counterexample to disprove this conjecture, even if it is found at 10^100. Because then we wouldn’t be able to say that “all” even numbers > 2 are a sum of 2 prime numbers.

    So mathematicians strive for general proofs. You start with something like: Let n be any even number > 2. Now using the known axioms of mathematics, you need to prove that for every n, there always exists two prime numbers p,q such that n=p+q.

    Would recommend watching the following short and simple video on the Pythagoras theorem, it’d make it perfectly clear how proofs work in mathematics. You know the theorem right? For any right angled triangle, the square of the hypotenuse is equal to the sum of squares of both the sides. Now we can verify this for billions of different right angled triangles but it wouldn’t make it a theorem. It is a theorem because we have proved it mathematically for the general case using other known axioms of mathematics.

    https://youtu.be/YompsDlEdtc