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Numbering should start at zero (1982)
y numbering should start at zero To denote the subsequence of natural numbers 2, 3, ..., 12 without the pernicious three dots, four conventions are open to us Are there reasons to prefer one convention to the other? Yes, there are. The observation that conventions a) and b) have the advantage that the difference between the bounds as mentioned equals the length of the subsequence is valid.
The observation that conventions a) and b) have the advantage that the difference between the bounds as mentioned equals the length of the subsequence is valid. Consider now the subsequences starting at the smallest natural number: inclusion of the upper bound would then force the latter to be unnatural by the time the sequence has shrunk to the empty one. Remark The programming language Mesa, developed at Xerox PARC, has special notations for intervals of integers in all four conventions.
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