Let us describe the concept of an incrementing sequence. To start with, consider examples. One incrementing sequence can be the alphabet: A, B, C, (D, E, F, G, H, I, J, K ...) Another incrementing sequence can be counting numbers: 1, 2, 3, (4, 5, 6, 7, 8, 9, 10, 11, ...)
The sequences are different. One is described by a fixed set of symbols, whereas another is described by a rule of arranging further sequences of fixed symbols, or alternatively of mutating representations of integral quantity. However, these sequences have similarity, too: for each element, there is a defined value, and a defined element that comes prior and after. With the alphabet, sometimes there is no defined element that comes before or after, giving it unique elements of "first" and "last". The the numbers, there may be a first or last, or often there is neither, depending on which set of numbers people consider. Additionally, with the numbers, there are further elements in-between each pair of elements, defined as well by the rules of incrementation; however, there are views of numbers where these are ignored for certain uses. Notably for these sequences, there are not interlinkages considered _other_ than those of which element comes before another, or which comes after. This does not mean they are not related by arithmetic operations or spellings of words, it just means that these relations are not part of the meaning of a "sequence". Additionally, each element has an index. For the numbers, each element's index is equal to its value: number #1 is indeed the number 1, whereas number #2 is the number 2. With the alphabet, as we have a first, letter 1 is A, and there is a second letter B. This treatment of the alphabet as a sequence is a convention in the English language, to consider the letters to have an order when this order is minimally related to their usefulness if at all, other than remembering and sharing what they are. As the alphabet is this kind of incrementing seque
