Thus genidentity implies the existence of an entire infinite series of intermediate objects. In this Lewin sees an analogy between physical objects and real numbers, as defined by so-called Dedekind cuts in the ordering of rational numbers. Genidentity so defined is postulated to have various characteristics, such as symmetry, transitivity, density, and continuity. When reviewed in the light of contemporary standards of logical precision, it becomes clear that Lewin had the correct intuition, even though he did not have the benefit of a highly developed terminology of definition theory or modern day symbolic logic. However, genidentity has never been explicitly discussed in the experimental sciences. Rather, it has always been a basic assumption hovering in the background, tacitly assumed. The credit for having made these assumptions explicit for the first time doubtlessly belongs to Kurt Lewin, usually renowned for his psychological work in the field of Gestalt psychology. See also Counterpart theory Identity (philosophy) Ship of Theseus, Locke's Socks, Grandfather's old axe References Martin Becker (1998) Zum Begriff der Genidentität — Eine Untersuchung der Wissenschaftstheoretischen Schriften von Kurt Lewin (Master Thesis), Johann Wolfgang Goethe-University, Frankfurt am Main. Barry Smith and Kevin Mulligan (1982) Pieces of a Theory, §6, in B. Smith (ed.), Parts and Moments. Studies in Logic and Formal Ontology, Munich: Philosophia. Philosophy of science Concepts in metaphysics