It’s like saying “a randomly chosen positive natural number is really big, so all numbers should be really big”.
You can’t randomly choose a positive natural number using an even distribution. If you use an uneven distribution, whether the result is likely to be big depends on how your distribution compares to your definition of “big”.
Choose from those positive numbers that a C++ int variable can contain, or any other* non-infinite subset of positive natural numbers, then. The point is the observation of “most numbers need more than 1 digit to be expressed” not implying in any way some sort of “need” for the 1-digit numbers to “change”, to satisfy the number fairy, or some abstract concept thereof.
* (For LW purposes: Any other? No, not any other. Choose one with a cardinality of at least 10^6. Heh.)
You can’t randomly choose a positive natural number using an even distribution. If you use an uneven distribution, whether the result is likely to be big depends on how your distribution compares to your definition of “big”.
Choose from those positive numbers that a C++ int variable can contain, or any other* non-infinite subset of positive natural numbers, then. The point is the observation of “most numbers need more than 1 digit to be expressed” not implying in any way some sort of “need” for the 1-digit numbers to “change”, to satisfy the number fairy, or some abstract concept thereof.
* (For LW purposes: Any other? No, not any other. Choose one with a cardinality of at least 10^6. Heh.)