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> How did software get so reliable without proof?

Two words: survivorship bias!

The software field exploded in the past half a century, producing a huge volume of activity producing a huge amount of cruft. A lot of the unreliable stuff gets shaken out; so what we see is a biased sample consisting of the successes that remain. Software that is halfway successful gets to be maintained, and over many years or decades, the reliability improves.



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