I believe you, because you are a reasonable person. The argument that you can't prove the second algebraically is a complete a waste of time.
And they get confidence from the fact they write thousands of lines of code, and they never see certain kinds of bug. And from their perspective, amongst those thousands of lines of code, a single impure method call will look egregious.
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Are there any Scala and Haskell bugs that programmers feel confident don't exist because the compiler assured them?
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