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completely disconnected from reality

There are a lot of people who think water comes from the sink and electricity comes from the wall.

It's easy to persuade such people with flowery rhetoric, because they have no capacity to even think about the costs.

But You can pursuade them easily by another narrative, too. We need 16%, the chasm, to change the course

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I agree, where do you get that 16% number from?

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I had once learned the 16% from the gaussian distribution as a critical mass.

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2 standard deviations away from the median

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Just one actually, and from the mean of a normal distribution.

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One SD is 34 percent

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That's on both sides and it's 32. Two standard deviations is how the standard 95% confidence intervals are formed. That only leaves about 5%: https://www.z-table.com/

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1 standard deviation is 68 percent