This is the standard story. It is nothing but an appeal to intuition (and/or unstated background knowledge, unstated explanations, unstated assumptions, etc). There is no argument for it and there never has been one.
Refuting this common mistake is something important Popper did.
Try reading your post again. You simply assumed that her having children is more likely. That is not true from the example presented, without some unstated assumptions being added. There is no argument in your post. That makes it very difficult to argue against because there’s nothing to engage with.
It could go either way. You know it could go either way. You claim one way fits the data better, but you don’t offer any rigorous guidelines (or anything else) for figuring out which way fits better. What are the rules to decide which consistent theories are more supported than others?
Of course it could go either way. But if I behaved in everyday life as if it were equally likely to go either way, I would be subjecting myself to disaster. For practical purposes it has always served me better to accept that certain hypotheses that are consistent with the available data are more probable than others, and while I cannot prove that this makes it more likely that it will continue to do so in the future, I’m willing to bet quite heavily that it will.
If Popper’s epistemology does not lead to superior results to induction, and at best, only reduces to procedures that perform as well, then I do not see why I should regard his refutation of induction as important.
This is the standard story. It is nothing but an appeal to intuition (and/or unstated background knowledge, unstated explanations, unstated assumptions, etc). There is no argument for it and there never has been one.
Refuting this common mistake is something important Popper did.
Try reading your post again. You simply assumed that her having children is more likely. That is not true from the example presented, without some unstated assumptions being added. There is no argument in your post. That makes it very difficult to argue against because there’s nothing to engage with.
It could go either way. You know it could go either way. You claim one way fits the data better, but you don’t offer any rigorous guidelines (or anything else) for figuring out which way fits better. What are the rules to decide which consistent theories are more supported than others?
Of course it could go either way. But if I behaved in everyday life as if it were equally likely to go either way, I would be subjecting myself to disaster. For practical purposes it has always served me better to accept that certain hypotheses that are consistent with the available data are more probable than others, and while I cannot prove that this makes it more likely that it will continue to do so in the future, I’m willing to bet quite heavily that it will.
If Popper’s epistemology does not lead to superior results to induction, and at best, only reduces to procedures that perform as well, then I do not see why I should regard his refutation of induction as important.