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To expand on this. At first glance, we don't know what value Anne has. But marital status is a boolean value. Since marital status is boolean, it follows by th
by Double_Cast 12y ago
To expand on this.
At first glance, we don't know what value Anne has. But marital status is a boolean value. Since marital status is boolean, it follows by the Law of the Excluded Middle that Anne is either {married | unmarried}. If we brute force the question by simulating each possible value that Anne can assume (and follow the implications), we arrive at the correct answer.
But imagine a case where we test for flavors of ice cream rather than marital status.
> Jack is looking at Anne, but Anne is looking at George. Jack has chocolate ice cream, but George has vanilla ice cream. Is a person with chocolate ice cream looking at an person with vanilla ice cream?
Can we correctly answer the new question? No, because Anne might have strawberry ice cream. A flavor isn't a boolean value!
Also consider that simulation (especially when exhausting every possibility) expends a lot of energy. Therefore, the default strategy is to use a heuristic. And the heuristic is chosen by pattern-matching the "feel" of the question. Unfortunately, the feel of the original question doesn't trigger a heuristic which takes into account the boolean nature of marital status. So rather than assign Anne a value of {married | unmarried}, we assign Anne a value of {null} and call it a day.
- dllthomas 12y agoAnd of course it requires assuming "unmarried" is not distinct from "widowed" and "divorced", which may or may not hold up.
- phkahler 12y ago>> And of course it requires assuming "unmarried" is not distinct from "widowed" and "divorced", which may or may not hold up. Not really. Many people consider those other options as special cases of "married" or "unmarried". In that case, how you match them up is not relevant to the problem because she still fits one or the other. She could also be a cat, which would change the answer.
- dllthomas 12y agoI totally agree that '[m]any people consider those other options as special cases of "married" or "unmarried"'. It's possible it's most people. However, I assert that enough people consider "unmarried" different from "divorced" or "widowed" that the assumption your audience thinks the other way "may not hold up".