Detection and quantification capabilities represent fundamental performance characteristics of measurement processes, yet there have been decades of confusion and miscommunication regarding the underlying concepts and terminology. New, co-ordinated documents prepared by the International organization for standardization (ISO) [1] and the International union of pure and applied chemistry (IUPAC) [2] promise to alleviate this situation by providing, for the first time, a harmonized position of standards and recommendations for adoption by the international scientific community. The first section of this paper contains a brief introduction to the events leading to the ISO and IUPAC efforts. Section 2 consists of (1) a brief review of the history of 'detection limits' in chemistry, illustrating the critical need for the development of a sound and uniform system of terms and symbols; and (2) a review of the ISO-IUPAC deliberations and the ensuing harmonized position on concepts and nomenclature. Section 3 treats fundamental applications of the underlying concepts, together with a series of unresolved or 'open' questions involving: detection and quantification capabilities in the signal and concentration domains, respectively; and the link between calibration and detection and quantification limits, together with the blank-intercept dichotomy. Also included are special treatments and approximations, developed in part for the IUPAC document, involving the non-central-t, and the exact (non-normal) distribution of the estimated concentration. The final section (Section 4) introduces issues and approaches to multiple independent and multivariate detection decisions and limits, and concludes with a glimpse at some challenges involving the multivariate blank and non-monotonic calibration functions.