The Completeness of Scientific Theories


Book Description

Earlier in this century, many philosophers of science (for example, Rudolf Carnap) drew a fairly sharp distinction between theory and observation, between theoretical terms like 'mass' and 'electron', and observation terms like 'measures three meters in length' and 'is _2° Celsius'. By simply looking at our instruments we can ascertain what numbers our measurements yield. Creatures like mass are different: we determine mass by calculation; we never directly observe a mass. Nor an electron: this term is introduced in order to explain what we observe. This (once standard) distinction between theory and observation was eventually found to be wanting. First, if the distinction holds, it is difficult to see what can characterize the relationship between theory :md observation. How can theoretical terms explain that which is itself in no way theorized? The second point leads out of the first: are not the instruments that provide us with observational material themselves creatures of theory? Is it really possible to have an observation language that is entirely barren of theory? The theory-Iadenness of observation languages is now an accept ed feature of the logic of science. Many regard such dependence of observation on theory as a virtue. If our instruments of observation do not derive their meaning from theories, whence comes that meaning? Surely - in science - we have nothing else but theories to tell us what to try to observe.




Testing Scientific Theories


Book Description

Testing Scientific Theories was first published in 1984. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. Since much of a scientist's work consists of constructing arguments to show how experiments and observation bear on a particular theory, the methodologies of theory testing and their philosophical underpinnings are of vital concern to philosophers of science. Confirmation of scientific theories is the topic of Clark Glymour's important book Theory and Evidence,published in 1980. His negative thesis is that the two most widely discussed accounts of the methodology of theory testing - hypothetico-deductivism and Bayesianism - are flawed. The issues Glymour raises and his alternative "bootstrapping" method provided the focus for a conference sponsored by the Minnesota Center for Philosophy of Science and for this book. As editor John Earman says in his preface, the papers presented in Testing Scientific Theories germinate so many new ideas that philosophers of science will reap the harvest for years to come. Topics covered include a discussion of Glymour's bootstrapping theory of confirmation, the Bayesian perspective and the problems of old evidence, evidence and explanation, historical case studies, alternative views on testing theories, and testing particular theories, including psychoanalytic hypotheses and hypotheses about the completeness of the fossil record.




Completeness and Reduction in Algebraic Complexity Theory


Book Description

This is a thorough and comprehensive treatment of the theory of NP-completeness in the framework of algebraic complexity theory. Coverage includes Valiant's algebraic theory of NP-completeness; interrelations with the classical theory as well as the Blum-Shub-Smale model of computation, questions of structural complexity; fast evaluation of representations of general linear groups; and complexity of immanants.




Completeness in Science


Book Description

"Examines the achievements of science that further our understanding of the natural universe, and the possible extent and limitations of those achievements." -- Preface.




Understanding, Explanation, and Scientific Knowledge


Book Description

The first comprehensive exploration of the nature and value of understanding, addressing burgeoning debates in epistemology and philosophy of science.




Quantum Measure Theory


Book Description

This book is the first systematic treatment of measures on projection lattices of von Neumann algebras. It presents significant recent results in this field. One part is inspired by the Generalized Gleason Theorem on extending measures on the projection lattices of von Neumann algebras to linear functionals. Applications of this principle to various problems in quantum physics are considered (hidden variable problem, Wigner type theorems, decoherence functional, etc.). Another part of the monograph deals with a fascinating interplay of algebraic properties of the projection lattice with the continuity of measures (the analysis of Jauch-Piron states, independence conditions in quantum field theory, etc.). These results have no direct analogy in the standard measure and probability theory. On the theoretical physics side, they are instrumental in recovering technical assumptions of the axiomatics of quantum theories only by considering algebraic properties of finitely additive measures (states) on quantum propositions.




Testing Scientific Theories


Book Description

Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible to scholars, students, researchers, and general readers. Rich with historical and cultural value, these works are published unaltered from the original University of Minnesota Press editions. The books offered through Minnesota Archive Editions are produced in limited quantities according to customer demand and are available through select distribution partners.







Game Theory, Experience, Rationality


Book Description

When von Neumann's and Morgenstern's Theory of Games and Economic Behavior appeared in 1944, one thought that a complete theory of strategic social behavior had appeared out of nowhere. However, game theory has, to this very day, remained a fast-growing assemblage of models which have gradually been united in a new social theory - a theory that is far from being completed even after recent advances in game theory, as evidenced by the work of the three Nobel Prize winners, John F. Nash, John C. Harsanyi, and Reinhard Selten. Two of them, Harsanyi and Selten, have contributed important articles to the present volume. This book leaves no doubt that the game-theoretical models are on the right track to becoming a respectable new theory, just like the great theories of the twentieth century originated from formerly separate models which merged in the course of decades. For social scientists, the age of great discover ies is not over. The recent advances of today's game theory surpass by far the results of traditional game theory. For example, modem game theory has a new empirical and social foundation, namely, societal experiences; this has changed its methods, its "rationality. " Morgenstern (I worked together with him for four years) dreamed of an encompassing theory of social behavior. With the inclusion of the concept of evolution in mathematical form, this dream will become true. Perhaps the new foundation will even lead to a new name, "conflict theory" instead of "game theory.




The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics


Book Description

The SAGE Encyclopedia of Theory is a landmark work that examines theory in general and the broad split between the "hard" and "soft" sciences, a split that is being re-examined as approaches to scientific questions become increasingly multidisciplinary.