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by wodenokoto
523 days ago
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There are two values, TRUE and FALSE. Null is not a value, it the the lack of a value. You have a list of people and you ask if they own a car. You didn't get around to asking George, so that, somehow means he owns a car because you are using boolean logic? Or does it mean he doesn't own a car, because you are using boolean logic? No, it means you haven't gathered this data point and don't know. |
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If there are three possible values, TRUE, FALSE and NULL (unknown), then you're probably working with something like Kleene logic. You can't truly be working with Boolean logic, though, any more than you can be doing integer arithmetic when 15.37 is a member of your domain.
To put it another way, if we're talking about the mathematical definition of boolean algebra and not just some programming language's quirky implementation that happens to be called "bool", then boolean values would by definition be non-nullable. That logic that allows nulls has been implemented using the same unified set of keywords and operator names is a pragmatic decision that simplifies the language implementation and spec, not a principled one that tries to be pedantic about mathematical terminology.