Urmie Ray - Böcker

On Science: Concepts, Cultures, and Limits explores science and its relationship with religion, philosophy, ethics, mathematics, and with socio-economic changes.The book gives an overview of the metaphysical contexts in which science emerged and the particular forms science has taken in history. It examines the preoccupation of ancient cultures with the validity of interpretations of natural phenomena, the role of the study of materials in the substantiation of the conceptual world, and the establishment of modern science on both experimentation and mathematics. This theoretical discussion is illustrated by a host of examples from physics to the life sciences, which highlight how current concepts developed over the centuries, or even millennia.The volume underscores some of the weaknesses inherent in a scientific approach, and how in the modern context of a wealth-driven technological orientation, these have been conducive to a gradual distortion of science into its exact opposite, a dogmatic faith. It further discusses the nature of scientific education in the world, and how conditions can be created to ensure pioneering creativity and to preserve scientific rigor.The book will be of great interest to scholars, teachers and researchers of science, the metaphysics and philosophy of science, mathematics, science and technology studies, epistemology, ethics, history and sociology. It will also be useful for general readers who are interested in the history of scientific discoveries and ideas as well as in the issues surrounding science today, in particular its relations with many urgent problems.

On Science: Concepts, Cultures, and Limits explores science and its relationship with religion, philosophy, ethics, mathematics, and with socio-economic changes.The book gives an overview of the metaphysical contexts in which science emerged and the particular forms science has taken in history. It examines the preoccupation of ancient cultures with the validity of interpretations of natural phenomena, the role of the study of materials in the substantiation of the conceptual world, and the establishment of modern science on both experimentation and mathematics. This theoretical discussion is illustrated by a host of examples from physics to the life sciences, which highlight how current concepts developed over the centuries, or even millennia.The volume underscores some of the weaknesses inherent in a scientific approach, and how in the modern context of a wealth-driven technological orientation, these have been conducive to a gradual distortion of science into its exact opposite, a dogmatic faith. It further discusses the nature of scientific education in the world, and how conditions can be created to ensure pioneering creativity and to preserve scientific rigor.The book will be of great interest to scholars, teachers and researchers of science, the metaphysics and philosophy of science, mathematics, science and technology studies, epistemology, ethics, history and sociology. It will also be useful for general readers who are interested in the history of scientific discoveries and ideas as well as in the issues surrounding science today, in particular its relations with many urgent problems.

A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie algebra with Lorentzian root lattice; and has an associated automorphic form having a product expansion describing its structure. Lie superalgebras are generalizations of Lie algebras, useful for depicting supersymmetry – the symmetry relating fermions and bosons. Most known examples of Lie superalgebras with a related automorphic form such as the Fake Monster Lie algebra whose reflection group is given by the Leech lattice arise from (super)string theory and can be derived from lattice vertex algebras. The No-Ghost Theorem from dual resonance theory and a conjecture of Berger-Li-Sarnak on the eigenvalues of the hyperbolic Laplacian provide strong evidence that they are of rank at most 26. The aim of this book is to give the reader the tools to understand the ongoing classification and construction project of this class of Lie superalgebras and is ideal for a graduate course. The necessary background is given within chapters or in appendices.