All our knowledge is based on self-reflexive theorizing, as well as on operational means of empirical perception. Some of the questions that arise are the following: are these limitations reflected by our models? Under what circumstances does chance kick in? Is chance in physics merely epistemic? In other words, do we simply not know enough, or use too crude levels of description for our predictions? Or are certain events "truly", that is, irreducibly, random?
The book tries to answer some of these questions by introducing intrinsic, embedded observers and provable unknowns; that is, observables and procedures which are certified (relative to the assumptions) to be unknowable or undoable. A (somewhat iconoclastic) review of quantum mechanics is presented which is inspired by quantum logic. Postulated quantum (un-)knowables are reviewed. More exotic unknowns originate in the assumption of classical continua, and in finite automata and generalized urn models, which mimic complementarity and yet maintain value definiteness. Traditional conceptions of free will, miracles and dualistic interfaces are based on gaps in an otherwise deterministic universe.
Karl Svozil studied theoretical physics in Vienna and Heidelberg, and has been visiting many institutions world-wide; including the University of California at Berkeley and the Lomonosov University. He works at the Institute for Theoretical Physics of the Vienna University of Technology and holds an honorary position at the Department of Computer Science of The University of Auckland, reflecting his interest in physical aspects of theoretical computer science. He has been president of the International Quantum Structure Association, and has served on various scientific committees, among them the FWO panel for Interdisciplinary research.