Sure, you use a delta function when you want to make a simplifying assumption. But this post is about questioning the assumption. That’s exactly when you wouldn’t use a delta function. Your third answer flatly contradicts Shminux. No, he does not believe that there are any perfect dice. Sometimes it’s right to contradict people, but if you don’t notice you’re doing it, it’s a sign that you’re the one who is confused.
The third answer was meant to be used in conjunction with the second; that’s what the scare quotes around “unbiased” were meant to convey, along with the phrase “frequencies very close to uniform”. Sorry if that was insufficiently clear.
Also, if we’re questioning (i.e. testing) the assumption, then we still need the assumption around as a hypothesis against which to test. That’s exactly how it’s used in the post.
Sure, you use a delta function when you want to make a simplifying assumption. But this post is about questioning the assumption. That’s exactly when you wouldn’t use a delta function. Your third answer flatly contradicts Shminux. No, he does not believe that there are any perfect dice. Sometimes it’s right to contradict people, but if you don’t notice you’re doing it, it’s a sign that you’re the one who is confused.
The third answer was meant to be used in conjunction with the second; that’s what the scare quotes around “unbiased” were meant to convey, along with the phrase “frequencies very close to uniform”. Sorry if that was insufficiently clear.
Also, if we’re questioning (i.e. testing) the assumption, then we still need the assumption around as a hypothesis against which to test. That’s exactly how it’s used in the post.
No, really, it was perfectly clear. The problem is that it was wrong.