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1. No one is saying the women aren't qualified, we're saying men are probably more likely to possess the qualities necessary to succeed in that field.
2. Re: bold - how can you virtually guarantee this? What evidence do you have? The truth is, we know so little about the brain that this statement reeks of hubris.
3. Women actually do worse than men on the science parts of the MCAT by a significant amount. (Edit: I see this was already mentioned)
Look, I get it - you want to believe women are 100% similar to men because you think acknowledging differences could lead to a society where women are treated differently (perhaps poorly). This literally has nothing to do with whether or not women are different from men. This has nothing to do with the scientific method period, other than whether or not certain subjects should be researched or not.
If I'm reading you correctly (re: all the "constructed reality" talk) you're afraid that we make our own reality, aka we anticipate a result and look for evidence supporting that. The scientific process naturally weeds this kind of faulty logic down because once a study gets published, other scientists challenge it by reproducing it with the eventual goal of improving it.
You lost all credibility at #1. Surprised you even wrote that.
Any women that would care to chime in about being biologically/genetically/intrinsically less "scientific"???