Abstract
This chapter contains sections titled: This introductory chapter, _Identity and Discrimination_, talks about the theme of the book and provides an overview of each chapter. Discriminability is a rough guide to distinctness; discriminable things are always distinct, distinct things are often but not always discriminable. The logic of identity generates a logic of approximate criteria of identity, in some ways similar and in some different (identity is reflexive, symmetric and transitive; indiscriminability is reflexive, symmetric and non‐transitive). The logic of identity generates a logic of approximate criteria of identity, in some ways similar and in some different (identity is reflexive, symmetric and transitive; indiscriminability is reflexive, symmetric and non‐transitive). This is the theme of this book. In particular, techniques are developed for working approximate criteria of identity into exact ones.