In some contexts one considers the more general notion of order-indiscernibles, and the term sequence of indiscernibles often refers implicitly to this weaker notion. In our example of binary formulas, to say that the triple (a, b, c) of distinct elements is a sequence of indiscernibles implies
More generally, for a structure with domain and a linear ordering , a set is said to be a set of -indiscernibles for if for any finite subsets and with and and any first-order formula of the language of with free variables, .[1]p. 2
^J. Baumgartner, F. Galvin, "Generalized Erdős cardinals and 0#". Annals of Mathematical Logic vol. 15, iss. 3 (1978).
Jech, Thomas (2003). Set Theory. Springer Monographs in Mathematics (Third Millennium ed.). Berlin, New York: Springer-Verlag. ISBN 978-3-540-44085-7. Zbl 1007.03002.