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.

Apostolos Syropoulos, Xanthi, Greece;Basil K. Papadopoulos, Democritus University of Thrace, Section of Mathematics, Xanthi, Greece.