I am very aware of this argument, but it is wrong. Gold's viability and value as a currency comes earlier in the market process. There is a sort of paradox when transitioning to a non-commodity money; Ludwig von Mises thought it impossible. Like you said, one way to overcome the paradox is by force of government, and it's been assumed for quite a while that without the force of government, such a money would never come to be... well... money. The argument for this is compelling, but we know it to be wrong simply by looking at Bitcoin. Bitcoin had absolutely no worth, and as such, was completely arbitrary in exchange, yet someone thought it cool enough to try and eventually it stated to hold its own exchange value.
Lastly, *nothing* has intrinsic value: if you simply mean to say that a good has other use cases besides money, that is fine. But the use cases it has are precisely because we have assigned it such. Gold isn't "naturally" worth anything. It is only worth something because we have found uses for it.
That varies depending on what data you look at. The link I provided above accounted for all of 4%. The other thing to remember is that there could be other factors that we just haven't thought of yet--that remaining 4-7% could very well make perfect sense, as has the other 17%. The point is that it's a very small deviation--small enough that any efforts to "correct" it, should it even need correcting, would almost surely hurt everyone involved more than help them. As I stated above (maybe in a different message), the market does not reward discrimination. That doesn't mean that it won't exist, only that a firm places itself at a competitive disadvantage if it discriminates[1].
[1] Actually that's really only true when society detests the discrimination in question. It could certainly be plausible that if a society detests brown-eyed people working in factories (for whatever silly reason), any company who attempts to hire a brown-eyed person to a factory job would be boycotted to the point where hiring that person would be a net loss, even though otherwise his hiring practices may be at a competitive advantage over the competition. Suffice it to say, I don't think society detests women being paid on par with men, given it is an apples to apples comparison, so I don't think this analysis applies.
Ultimately I think he communicated the same thing that you did, but in fewer words. He didn't say "women who act like men are paid more," just that when the behaviors are the same, which would include career choice, child rearing decisions, etc., the pay is the same. There is *nothing* sexist about that statement.
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I rarely read signatures, but I did read yours.
Never ask two questions in a business letter. The reply will discuss the one you are least interested, and say nothing about the other.