So when a young black man gets killed (prior to the recent police shootings), it's generally not considered "news", while a middle-aged white woman being killed is treated as news. And to a large degree, that is accurate -- young black men are killed in significantly disproportionate numbers, which is why we don't treat it as anything new.
But the result is that, societally, we don't pay as much attention to certain people's deaths as we do to others. So, currently, we don't treat all lives as though they matter equally.
Just like asking dad for your fair share, the phrase "black lives matter" also has an implicit "too" at the end: it's saying that black lives should also matter. But responding to this by saying "all lives matter" is willfully going back to ignoring the problem.
It's a way of dismissing the statement by falsely suggesting that it means "only black lives matter," when that is obviously not the case. And so saying "all lives matter" as a direct response to "black lives matter" is essentially saying that we should just go back to ignoring the problem.
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