Topics in The Formal Methodology of Empirical Sciences

Mind Out of Matter aims to transform the way we think about consciousness and the physical world. Unlike many contemporary volumes, it develops a robust and philosophically satisfying account of the mind/body relationship without doing violence to fundamental physics. It expunges popular but ludicrous assumptions about the `in principle' capabilities of cognizers and, with the help of tools from mathematics and scientific fields, supplants flawed notions of representation, function, and mental state with objective and physically grounded alternatives. It debunks quantum theories of consciousness, constructs a simple zombie recipe, and evaluates recent research on chaotic analogue networks. This book is indispensable for readers in philosophy of mind, cognitive science, and artificial intelligence, and for mathematicians applying complexity theory or information theory to biological cognition.

Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous materials. This activity brings together a number of related themes, including: (1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "compensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations.

Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous materials.