If you don't understand the reasons, I don't think there's much point in explaining. However, could you perhaps think about how embarrassed many women and (especially) girls would be to have to discuss menstruation with a man? We're quite shy about discussing it among ourselves, even.
Maybe it's time to stop demonizing periods. But surely there doesn't need to be any intimate discussion of periods at all, "to work with the group to ensure the legal right to free period products in public places." And if such intimate discussions are necessary to advance the project, the women involved are going to have to make their case to men at some point.
If the argument still needs to be made, that free period products are necessary to ease the suffering of women, at some point the men in the community, who will be equally burdened to uphold the legal right, must be convinced to support it.
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Honestly, Rolfe, I think your dismissal is a cop-out.
"Women need to be assured, in law, of freely available period products whenever they find themselves in a public facility."
"Really? Why?"
"It's a woman thing, you wouldn't understand."
"Try me."
"I can't, it's too embarrassing."
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This goes back to my view of empathy and abstract reasoning in humans. Men and women are not different species. You are not a space alien, Rolfe. We cannot have public policy on the basis that half the community wouldn't understand, isn't owed an explanation, isn't entitled to review the demands, and must simply trust the other half of the community to get it right sight unseen.
If women are too embarrassed to make a case for basic health accommodations in public policy, because it involves uteruses, then maybe we should take another look at women's eligibility for full participation in society. Hyperbole? Maybe. But what else to make of this inability to discuss the subject frankly? Get over it. Or else find a woman who is over it, to be your spokesperson. Or find a man. If a man's willing to make the case you're too shy to make, why not hire him for that purpose?
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Women are too shy to engage with men as equal partners in the community? This strikes me as on the same level as saying that PMS make it too hard for women to act professionally, or even do their jobs reliably, and one week a month we should just give them a pass in the workplace.
Or the canard that pregnancy hormones make women crazy, so crazy that they can't be held accountable for their behavior.
This is the can of worms your dismissal opens up. I'm ready to put the lid right back on it, but if you're too shy to discuss period accommodations in public policy, I'm not sure why I should.