I'll just add this tidbit on probability.
If I give you seven independent pieces of evidence that point to the same conclusion, but there's a 9/10 chance I'm wrong about each piece of evidence individually, it's still better odds I'm right.
Why?
1.0 * 0.9 = 0.9
1.0 * 0.9 * 0.9 = 0.81
1.0 * 0.9 * 0.9 * 0.9 = 0.729
1.0 * 0.9 * 0.9 * 0.9 * 0.9 = 0.6561
1.0 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 = 0.59049
1.0 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 = 0.531441
1.0 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 * 0.9 = 0.4782969
That's the power of bringing lots of evidence to bear.
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