... although an intelligence tester may suppose that there is only one possible continuation to the sequence 100 gecs, 1,000 gecs, 10,000 gecs, ..., mathematical and philosophical sophisticates know that an indefinite number of rules (even rules stated in terms of mathematical functions as conventional as ordinary polynomials) are compatible with any such finite initial segment. So if the tester urges me to respond, after 100 gecs, 1,000 gecs, 10,000 gecs, ..., with the unique appropriate next number of gecs, the proper response is that no such unique number exists, nor is there any unique (rule determined) infinite sequence that continues the given one (Kripke 1982, 18).
- Kripke, Saul. 1982. Wittgenstein on Rules and Private Language. Cambridge: Harvard University Press.