Politically, it is difficult to convince people of the oncoming disaster of guaranteed-benefit entitlement programs, because they've worked up to this point so why can't we just keep doing the same thing and expecting the same result? But if you've got changing ratios of number of people on the programs vs. the number of people supporting them, you can't expect the same results to obtain.
You can't expect to just keep using the same antibiotics over and over indefinitely and getting the same results.
As we creep closer and closer to the possibility of being able to recreate extinct species and re-introduce them back into their original ecosystems, there's an interesting debate occurring about whether that's even a good idea. Once a species is removed from a niche, is it possible the ecosystem rearranges itself such that reintroduction would be a net negative? (This gets into its own tricky issues about how one can actually define "net positive result to an ecosystem" which so far we've been able to sort of skirt around with various heuristics, but with this sort of power becomes an unavoidable issue.)
In your personal life, there's really quite a bit that over the span of decades you can't expect to keep doing the same thing and getting the same result. Getting drunk and staying out all night doesn't have the same result at 22 as it does at 52. Exercise programs have to change. Careers have to change. Children change everything. Your own political opinions will have to change (is it really sane for a 55-year-old to have the same opinions about everything that they did at 15? what a weird world that would have to be). Your financial practices will probably have to change.
Change is the only constant in life.
If you are saying that every time I practice, I get a little better, then this is in accord with repeating consistent results.
Edit:
(except of course you generalize the result to "the coin falls down").
I think most of the examples one could give can be mitigated by rewording your expectations. Which, incidentally, is the reason for the quote in the first place.
It's like complaining that a metaphor isn't literal.
So basically, whenever I read the phrase so far (luckily, I never had to hear it in a personal discussion yet), someone uses it to belittle someone else without taking his/her perspective into account. Or any changes to the world as a whole for that matter.
But I think this one is special that way, which is why I call it out. It is not "sane" to do the same thing over and over and expect the same results, either. The implicit dichotomy the English creates is simply false.
I'm actually rather big into "wisdom", to a degree that the average HN reader would probably find rather quaint and old-fashioned. This is not a wise saying. The "kernel" in its center is not true. The truth that it sorta-kinda points out is not in its center.