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If a person is born into a state he becomes a citizen of that state. With the rights he gets he also gets duties. The right to vote also constitutes the duty to oblige to everything the majority rules. If he doesn't like that, he is free to leave the country.
Babies did not consent to be born.
Neither does a child owe a debt to it's parents for giving it the gift of life.
This may be the secular equivalent of the biblical notion of "original sin".
When we think of human beings owing a debt for their life, we are on a slippery slope that may lead to irresponsible and immoral actions such as running a governmental budget deficit that the next generation has to pay for.
Life is a gift, not an obligation.
Most of the time they are, that they should be or not, is another question.
This debt is accrued over time. For instance, at birth they are cared for by doctors shaped by the society, transported home on roads made by the society, educated in schools molded after the society, etc.