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fubarobfusco comments on [Poll] Less Wrong and Mainstream Philosophy: How Different are We? - Less Wrong
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The philosophers call these Gettier problems.
This particular story introduces what seems like it should be an extraneous detail: Bob, in saying he doesn't carry cash, is intending to deceive. But our everyday concept of truth is related somehow to honesty; the truth is what a well-informed and honest person would say. Bob here is being dishonest (he wants the mugger to believe something Bob thinks is false) and misinformed, so his dishonesty fails at his goal of protecting his cash. This goal is already lost. Knowing that, the question "but is his statement true?" seems to be unneeded essentialism.
My impression is that this is what the whole debate is about. What matters to Corresponders is whether or not statements describe reality. Bob's statement correctly predicts whether or not he has cash on him- and "correct prediction" is their standard for truth. They wouldn't care that his dishonesty and misinformation cancel each other out, but would agree that in general dishonesty and misinformation lead to less correct predictions.