The Completeness of Scientific Theories

The Completeness of Scientific Theories
Author: Martin Carrier
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2012-12-06
Genre: Science
ISBN: 9401109109

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

Testing Scientific Theories
Author: John Earman
Publisher: U of Minnesota Press
Total Pages: 495
Release: 1983
Genre: Science
ISBN: 1452907684

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.

Completeness and Reduction in Algebraic Complexity Theory

Completeness and Reduction in Algebraic Complexity Theory
Author: Peter Bürgisser
Publisher: Springer Science & Business Media
Total Pages: 174
Release: 2013-03-14
Genre: Mathematics
ISBN: 3662041790

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.

Understanding, Explanation, and Scientific Knowledge

Understanding, Explanation, and Scientific Knowledge
Author: Kareem Khalifa
Publisher: Cambridge University Press
Total Pages: 265
Release: 2017-10-05
Genre: Philosophy
ISBN: 1107195632

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

Quantum Measure Theory

Quantum Measure Theory
Author: J. Hamhalter
Publisher: Springer Science & Business Media
Total Pages: 412
Release: 2013-03-14
Genre: Mathematics
ISBN: 9401701199

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.

Theories of Scientific Method

Theories of Scientific Method
Author: Robert Nola
Publisher: Routledge
Total Pages: 343
Release: 2014-12-18
Genre: Philosophy
ISBN: 1317493486

What is it to be scientific? Is there such a thing as scientific method? And if so, how might such methods be justified? Robert Nola and Howard Sankey seek to provide answers to these fundamental questions in their exploration of the major recent theories of scientific method. Although for many scientists their understanding of method is something they just pick up in the course of being trained, Nola and Sankey argue that it is possible to be explicit about what this tacit understanding of method is, rather than leave it as some unfathomable mystery. They robustly defend the idea that there is such a thing as scientific method and show how this might be legitimated. This book begins with the question of what methodology might mean and explores the notions of values, rules and principles, before investigating how methodologists have sought to show that our scientific methods are rational. Part 2 of this book sets out some principles of inductive method and examines its alternatives including abduction, IBE, and hypothetico-deductivism. Part 3 introduces probabilistic modes of reasoning, particularly Bayesianism in its various guises, and shows how it is able to give an account of many of the values and rules of method. Part 4 considers the ideas of philosophers who have proposed distinctive theories of method such as Popper, Lakatos, Kuhn and Feyerabend and Part 5 continues this theme by considering philosophers who have proposed naturalised theories of method such as Quine, Laudan and Rescher. This book offers readers a comprehensive introduction to the idea of scientific method and a wide-ranging discussion of how historians of science, philosophers of science and scientists have grappled with the question over the last fifty years.

Game Theory, Experience, Rationality

Game Theory, Experience, Rationality
Author: W. Leinfellner
Publisher: Springer Science & Business Media
Total Pages: 476
Release: 2013-06-29
Genre: Business & Economics
ISBN: 9401716544

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

The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics
Author: James Mattingly
Publisher: SAGE Publications
Total Pages: 1057
Release: 2022-09-21
Genre: Philosophy
ISBN: 1483347710

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.