Vagueness in the Exact Sciences: Impacts in Mathematics, Physics, Chemistry, Biology, Medicine, Engineering and Computing (de Gruyter Stem)

Vagueness in the Exact Sciences : Impacts in Mathematics, Physics, Chemistry, Biology, Medicine, Engineering and Computing The book starts with the assumption that vagueness is a fundamental property of this world. From a philosophical account of vagueness via the presentation of alternative mathematics of vagueness, the subsequent chapters explore how vagueness manifests itself in the various exact sciences: physics, chemistry, biology, medicine, computer science, and engineering. Preface Contents List of Contributing Authors 1 Vagueness from the philosophical point of view 2 Vague mathematics 3 Vague theory of computation 4 Fuzzy hypotheses tests with crisp data using nonasymptotic fuzzy estimators 5 Fuzzy sets in quantum mechanics 6 Vagueness in chemistry 7 Vagueness in medicine: on indistinct phenomena, vague concepts, and uncertain knowledge 8 Vagueness in technology 9 The semiotic topos of vagueness Index of notation Index of people