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Question: Are there scriptures that deal with the evolutionary theme of refraining from procreating for the benefit of mankind?
Answer: No.
Biblical Explanation: The Bible explains why it is that humans get sick, become old and die. This happens because after Adam and Eve disobeyed God sin entered into the world and, as a direct consequence, death was the result (Romans 5:12). The ravages of sin and its consequences reverberate down to us today. We inherit sin and the sin nature from Adam, and we suffer for it continually. Instead of perfection came imperfection and humans have been deteriorating ever since. All men die, all animals die, all plant life dies. The world groans because of the consequences of human godlessness, selfishness and depravity (Romans 8:22).
Generational curses are mentioned in several places in the Bible. Exodus 20:5 implies that rebellious children will choose to repeat the sins of their ungodly fathers and this, in turn, results in the consequences of those sins being visited upon future generations. It is worth remembering that a generational curse was a consequence for a specific nation (Israel) for a specific sin (idolatry). The history books of the Old Testament (especially Judges) contain the record of this divine punishment meted out. The cure for a generational curse has always been repentance. When Israel turned from idols to serve the living God, the βcurseβ was broken and God saved them (Judges 3:9, 15; 1 Samuel 12:10-11). Source: https://www.gotquestions.org/generational-curses.html
Conclusion: There is nothing in the Bible to suggest that humans should avoid procreation simply because they are not physically fit or because there is a risk of passing on a genetic predisposition that could result in sickness. However, people have the right to decide whether or not to have children. The Bible describes a time when God himself will intervene in the affairs of humans and He will wipe out all tears, sickness and death (Revelation 7:17; 21:4).