Right, by experience. In the classic philosophical debate between rationalism and empiricism, empiricism wins. If you reason into errors, experience will contradict them, reality asserts itself.The principle is that, over time, the errors or the less useful aspects are gradually weeded out or worn away.
Feminism reasons that women have been oppressed and forced into baby-making duties and seeks to liberate them from that. So women venture out into the world and discover they've ceded all control of their lives to capitalism and they're less happy then before. And then society as a whole gets worse as the world is left without children and the potential lack of a future for humanity. It's not that women are incapable of work, or incapable of being happy working. Nor is it that they should feel obligated to have kids for society. It's that women have a magical superpower to create new people, and people are a great and joyful thing, and putting great things out into the world is way more purposeful and satisfying than the average day's work. The issue here isn't letting women choose their life. The issue is the underlying theory about how women were forced to be mothers and homemakers against their will for millennia, cause it just isn't true. It's a rationalized fantasy. And now avoiding those roles is making people unhappy, they're going to realize through their own experience that the theory is bunk, and then choose their lives not misguided by rationalized falsehoods. You have to let go of failed theories.
Similarly, people have rationalized that some people who are atypical are not psychologically the gender that coincides with their sex organs, and reasoned that it'd be better to see them as transgender and call them the opposite sex. There's definitely a logic to it. When that population acts out the conclusions of the theory and start killing themselves in large numbers, the theory has failed, experience has contradicted it, it's time to throw it away.