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CHAPTER 8 WHAT FIRST NORMAL FORM REALLY MEANS
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and fractional parts (say). But even if we were to accept this argument, it seems to me we would then also have to accept the argument that the very same value might be atomic today and nonatomic tomorrow! Such would be the case for a fixed-point number, for example, if there were originally no operators to extract its integer and fractional parts but such operators were subsequently introduced. And it further seems to me that if the notion of atomicity is timedependent in this way, then (as already claimed) it really doesn t have any absolute meaning.
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Let s return for a moment to table T2 in Figure 8-2. In that figure, I showed P#_SET values as general sets. But it s much more useful in practice if they re, more specifically, relations (see Figure 8-3, where I ve renamed the column as P#_REL and the table accordingly as T3). Why is it more useful Because relations, not general sets, are what the relational model is all about.5 As a consequence, the full power of the relational algebra immediately becomes available for the relations in question they can be restricted, projected, joined, and so on. By contrast, if we use general sets instead of relations, then we need to introduce new operators (set union, set intersection, and so on) for dealing with those sets ... Much better to get as much mileage as we can out of the operators we already have!
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5. In case you re wondering, the difference is that general sets can contain anything, whereas relations contain tuples specifically. Note, however, that a relation certainly resembles a general set in that it too can be regarded as a single value.
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