Mechanization of Reasoning in a Historical Perspective


Book Description

This volume is written jointly by Witold Marciszewski, who contributed the introductory and the three subsequent chapters, and Roman Murawski who is the author of the next ones - those concerned with the 19th century and the modern inquiries into formalization, algebraization and mechanization of reasonings. Besides the authors there are other persons, as well as institutions, to whom the book owes its coming into being. The study which resulted in this volume was carried out in the Historical Section of the research project Logical Systems and Algorithms for Automatic Testing of Reasoning, 1986-1990, in which participated nine Polish universities; the project was coordinated by the Department of Logic, Methodology and Philosophy of Science of the Bia??l??ystok Branch of the University of Warsaw, and supported by the Ministry of Education (some of its results are reported in (Srzednicki (Ed.) 1987). The major part of the project was focussed on the software for computer-aided theorem proving called Mizar MSE (Multi-Sorted first-order logic with Equality, reported in (Marciszewski 1994a)) due to Dr. Andrzej Trybulec. He and other colleagues deserve a grateful mention for a hands-on experience and theoretical stimulants owed to their collaboration.




Mechanization of Reasoning in a Historical Perspective


Book Description

This volume is written jointly by Witold Marciszewski, who contributed the introductory and the three subsequent chapters, and Roman Murawski who is the author of the next ones - those concerned with the 19th century and the modern inquiries into formalization, algebraization and mechanization of reasonings. Besides the authors there are other persons, as well as institutions, to whom the book owes its coming into being.The study which resulted in this volume was carried out in the Historical Section of the research project Logical Systems and Algorithms for Automatic Testing of Reasoning,1986-1990, in which participated nine Polish universities; the project was coordinated by the Department of Logic, Methodology and Philosophy of Science of the Bia??l??ystok Branch of the University of Warsaw, and supported by the Ministry of Education (some of its results are reported in (Srzednicki (Ed.) 1987). The major part of the project was focussed on the software for computer-aided theorem proving called Mizar MSE (Multi-Sorted first-order logic with Equality, reported in (Marciszewski 1994a)) due to Dr. Andrzej Trybulec. He and other colleagues deserve a grateful mention for a hands-on experience and theoretical stimulants owed to their collaboration.







Mechanizing Proof


Book Description

Most aspects of our private and social lives—our safety, the integrity of the financial system, the functioning of utilities and other services, and national security—now depend on computing. But how can we know that this computing is trustworthy? In Mechanizing Proof, Donald MacKenzie addresses this key issue by investigating the interrelations of computing, risk, and mathematical proof over the last half century from the perspectives of history and sociology. His discussion draws on the technical literature of computer science and artificial intelligence and on extensive interviews with participants. MacKenzie argues that our culture now contains two ideals of proof: proof as traditionally conducted by human mathematicians, and formal, mechanized proof. He describes the systems constructed by those committed to the latter ideal and the many questions those systems raise about the nature of proof. He looks at the primary social influence on the development of automated proof—the need to predict the behavior of the computer systems upon which human life and security depend—and explores the involvement of powerful organizations such as the National Security Agency. He concludes that in mechanizing proof, and in pursuing dependable computer systems, we do not obviate the need for trust in our collective human judgment.




Essays in Logic and Ontology


Book Description

The aim of this book is to present essays centered upon the subjects of Formal Ontology and Logical Philosophy. The idea of investigating philosophical problems by means of logical methods was intensively promoted in Torun by the Department of Logic of Nicolaus Copernicus University during last decade. Another aim of this book is to present to the philosophical and logical audience the activities of the Torunian Department of Logic during this decade. The papers in this volume contain the results concerning Logic and Logical Philosophy, obtained within the confines of the projects initiated by the Department of Logic and other research projects in which the Torunian Department of Logic took part.




Logic, Probability and Science


Book Description

From the contents: Charles MORGAN: Canonical models and probabilistic semantics. - Francois LEPAGE: A many-valued probabilistic logic. - Piers RAWLING: The exchange paradox, finite additivity, and the principle of dominance. - Susan VINEBERG: The logical status of conditionalization and its role in confirmation. - Deborah MAYO: Science, error statistics, and arguing from error. - Mark N. LANCE: The best is the enemy of the good: Bayesian epistemology as a case study in unhelpful idealization. - Robert B. GARDNER & Michael C. WOOTEN: An application of Bayes' theorem to population genetics. - Peter D. JOHNSON, Jr.: Another look at group selection."




Evandro Agazzi: Right, Wrong and Science


Book Description

Solving the problem of the negative impact of science and technology on society and the environment is indeed the greatest challenge of our time. To date, this challenge has been taken up by few professional philosophers of science, making this volume a welcome contribution to the general debate. Agazzi’s treatment involves viewing modern science and technology as each constituting systems. Against the background of this approach, he provides a penetrating analysis of science, technology and ethics, and their interrelations. Agazzi sees the solution to the problem as lying in the moral sphere and including a multilateral assumption of responsibility on the part of decision makers both within and outside of science.




Analytic Philosophy in Finland


Book Description

Finland is internationally known as one of the leading centers of twentieth century analytic philosophy. This volume offers for the first time an overall survey of the Finnish analytic school. The rise of this trend is illustrated by original articles of Edward Westermarck, Eino Kaila, Georg Henrik von Wright, and Jaakko Hintikka. Contributions of Finnish philosophers are then systematically discussed in the fields of logic, philosophy of language, philosophy of science, history of philosophy, ethics and social philosophy. Metaphilosophical reflections on the nature of philosophy are highlighted by the Finnish dialogue between analytic philosophy, phenomenology, pragmatism, and critical theory.




Knowledge Cultures


Book Description

This volume compares the western ideas of knowledge with the African. It aims at creating a mirror through which the western knowledge culture can look at itself through an unusual and interesting angle. The culture of Sub-Saharan Africa is the substance from which we, in this book, have tried to construe an epistemological mirror.




To be Or Not to Be? Is that the Question? And Other Studies in Ontology, Epistemology and Logic


Book Description

This volume may be of interest for all those who wish that philosophy had a scientific character. As an adherent of the Polish Lvov-Warsaw Philosophical School, the author of this collection of papers endeavours to clarify some basic notions of epistemology, ontology and psychology of cognitive acts, such as judgment, existence, being etc. In his investigations he refrains from unnecessary rejection of common-sense knowledge but at the same time searches for suitable patterns in contemporary sciences. Regarding formal logic as a fundamental tool for the precise expression and justification of thoughts, the author tries to clear logic from ontological commitments, shows how to construct logic of norms and how to use safely different definitions in research works. The book presents a new conception of antinomies and an innovatory approach to realistic epistemology. Moreover, some applications of logical methods are illustrated by examples of semantical analyses of the general notion of similarity and the biological concept of homology.