About the IQ debate, I don't think IQs should be taken seriously, since there's always been a trend of intelligence moving higher and higher towards the right side of the bell curve over many years, causing it to adjust so that 100 is the average again, as well as having differing IQ tests that could have a IQ difference significant enough to change people's perception of you, even if you could take these tests at the same time.
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I do believe Education is the main way to break poverty, though.
One big example: My own father.
You see, my father is profoundly deaf, all 60 years of his life to now, and he can't speak one coherent English word.
He was born to a hearing family, and as the youngest of 5 brothers and 6 sisters.
They were a poor family, for example, one bed shared by all the brothers and sisters.
All of his brothers were hearing and went to schools like any other kid, while Dad went to a oral-training school,
and he apparently didn't enjoy that, hearing from him.
He didn't learn any real language until he got transferred to another school, a ASL-oriented one, in the 6th grade.
There his character grew tenfold, going from a mute mimic to the school basketball star, taking up so many sports and keeping good/excellent grades.
In the end, Dad was the only one to graduate from high school among his brothers in 1973, because he cared about the future.
A long story short later (40+ years after graduation, no less) , his brothers are worse off, either poor/homeless or even dead at a early age, and Dad seems to be the most successful of them all.
We're not rich, but the fact that all of his children has their own beds (and after they moved out, took college education with financial scholarships) , shows that Dad worked his way out of poverty to be able to support that, let alone computers, phones, and televisions, food, water, things that my father had to worry about while he was my age, as well has his emphasis on education, has he told me numerous times through my life.
For me, Dad started to end the cycle of poverty on his family through education,
and I think it's my turn to finish it in the same means.
Actions speak louder than words, after all.
And an IQ test is just words.
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Long wall of text cut short:
Education is important and essential to ending poverty; while IQs are not good indicators of max potential intelligence.
You can have an IQ of 120 or more, but unless you train for things to do, and learn from things you study,and most importantly actually doing it, you'll probably never be good at anything.