The Logical Foundations Of Scientific Theories

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The Logical Foundations of Scientific Theories

Author : Decio Krause,Jonas R.B. Arenhart
Publisher : Routledge
Page : 162 pages
File Size : 51,5 Mb
Release : 2016-07-15
Category : Mathematics
ISBN : 9781315535203

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The Logical Foundations of Scientific Theories by Decio Krause,Jonas R.B. Arenhart Pdf

This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philosophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes’ set theoretical predicates and the "da Costa and Chuaqui" approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science.

The Logical Foundations of Scientific Theories

Author : Decio Krause,Jonas R.B. Arenhart
Publisher : Routledge
Page : 161 pages
File Size : 47,8 Mb
Release : 2016-07-15
Category : Mathematics
ISBN : 9781315535197

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The Logical Foundations of Scientific Theories by Decio Krause,Jonas R.B. Arenhart Pdf

This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philosophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes’ set theoretical predicates and the "da Costa and Chuaqui" approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science.

The Logical Foundations of Mathematics

Author : William S. Hatcher
Publisher : Elsevier
Page : 330 pages
File Size : 51,9 Mb
Release : 2014-05-09
Category : Mathematics
ISBN : 9781483189635

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The Logical Foundations of Mathematics by William S. Hatcher Pdf

The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.

Foundations of the Logical Theory of Scientific Knowledge (Complex Logic)

Author : A.A. Zinov'ev
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401025010

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Foundations of the Logical Theory of Scientific Knowledge (Complex Logic) by A.A. Zinov'ev Pdf

Boston Studies in the Philosophy of Science are devoted to symposia, con gresses, colloquia, monographs and collected papers on the philosophical foundations of the sciences. It is now our pleasure to include A. A. Zi nov'ev's treatise on complex logic among these volumes. Zinov'ev is one of the most creative of modern Soviet logicians, and at the same time an innovative worker on the methodological foundations of science. More over, Zinov'ev, although still a developing scholar, has exerted a sub stantial and stimulating influence upon his colleagues and students in Moscow and within other philosophical and logical circles of the Soviet Union. Hence it may be helpful, in bringing this present work to an English-reading audience, to review briefly some contemporary Soviet investigations into scientific methodology. During the 1950's, a vigorous new research program in logic was under taken, and the initial published work -characteristic of most Soviet pub lications in the logic and methodology of the sciences - was a collection of essays, Logical Investigations (Moscow, 1959). Among the authors, in addition to Zinov'ev himself, were the philosophers A. Kol'man and P. V. Tavanec, and the mathematicians and linguists, S. A. Janovskaja, A. S. Esenin-Vol'pin, S. K. Saumjan, G. N. Povarov.

An Introduction to the Philosophy of Science

Author : Rudolf Carnap
Publisher : Courier Corporation
Page : 333 pages
File Size : 46,8 Mb
Release : 1995-01-17
Category : Science
ISBN : 9780486283180

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An Introduction to the Philosophy of Science by Rudolf Carnap Pdf

Stimulating, thought-provoking text by one of the 20th century's most creative philosophers makes accessible such topics as probability, measurement and quantitative language, causality and determinism, theoretical laws and concepts, more.

The Logical Foundations of the Marxian Theory of Value

Author : Adolfo García de la Sienra
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401126946

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The Logical Foundations of the Marxian Theory of Value by Adolfo García de la Sienra Pdf

Written before the impressive collapse of the socialist system in Eastern Europe, this book offers a quite objective and serious systematic analysis of the Marxian labor theory of value, Marx's main scientific legacy. After reconstructing the 'prototype' of this theory -- which is the theory as it was left by Marx himself in Capital -- the author proceeds to a careful and detailed analysis of its foundational problems, taking into account Böhm-Bawerk's important criticisms. After introducing advanced contemporary formal tools, the author proceeds to a thorough discussion of the dialectical method, just in order to tackle the foundational problems of the theory. He provides a formally precise and well motivated definition of abstract labor, and then proceeds to prove the existence of a measurement of abstract labor -- i.e. the existence of numerical labor-values. Using this result, the author provides rigorous axiomatic foundations for the theory of value and then proves the existence of a Marxian competitive equilibrium, which is tantamount to the proof of the possibility of reproduction for a capitalist economy. The author finishes the book by showing in detail how the problems of the prototype are solved, by reconstructing the Leontief model of the labor theory of value on the new logical bases. Written in a very clear style, in the language of contemporary philosophy of science, the book is of interest to philosophers of science and economists, applied logicians and all those interested in the scientific legacy of Karl Marx.

The Logical Foundations of Cognition

Author : John Macnamara,Gonzalo E. Reyes
Publisher : Oxford University Press
Page : 379 pages
File Size : 47,6 Mb
Release : 1994-10-13
Category : Psychology
ISBN : 9780195357820

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The Logical Foundations of Cognition by John Macnamara,Gonzalo E. Reyes Pdf

This volume examines the role of logic in cognitive psychology in light of recent developments, such as Gonzalo Reyes's new semantic theory. Chapters reveal the prospects of applying these new theories to cognitive psychology, cognitive science, linguistics, the philosophy of language and logic.

The Nature of Scientific Theory

Author : Lawrence Sklar
Publisher : Routledge
Page : 389 pages
File Size : 44,7 Mb
Release : 2014-06-23
Category : Philosophy
ISBN : 9781135646660

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The Nature of Scientific Theory by Lawrence Sklar Pdf

About the Series Contemporary philosophy of science combines a general study from a philosophical perspective of the methods of science, with an inquiry, again from the philosophical point of view, into foundational issues that arise in the various special sciences. Methodological philosophy of science has deep connections with issues at the center of pure philosophy. It makes use of important results, for example, in traditional epistemology, metaphysics and the philosophy of language. It also connects in various ways with other disciplines such as the history and sociology of the sciences, with pure logic, and with such branches of mathematics as probability theory. These volumes are, for the most part, devoted to readings in the methodological aspects of the philosophy of science. One volume, however, takes up the philosophical issues in the foundations of a particularly important special science, that is the issues in the foundations of theories of contemporary physics. The methodological volumes cover a number of crucial general problem areas. The first volume takes up issues in the nature of scientific explanation, and the related issues of the nature of scientific law and of the casual relation among events. The second volume explores issues in the nature and structure of scientific theories. The third volume collects inquiries into the nature of scientific change, as one theory is replaced by another. Volume four is devoted to readings concerning the nature of probability and the nature and justification of inductive reasoning in science. The following volume continues the exploration of the issue of confirming and rejecting theories with a series of readings devoted to Bayesian methodologies in science and to the exploration of non-inductive strategies for rationalizing belief. Finally, volume six explores three major problem areas in the foundation of physics: the nature and rationale for physical theories of space and time; the interpretive problems arising out of the quantum theory; and some puzzles arising out of statistical mechanical theories of physics. The readings are selected and arranged to provide the user with systematic access to the most important contemporary themes in methodological philosophy of science and in philosophy of physics. The selections include many recent contributions to the field, as well as papers and extracts from books and journals otherwise not easily available.

The Unity of Science

Author : Rudolf Carnap
Publisher : Routledge
Page : 71 pages
File Size : 50,9 Mb
Release : 2013-05-13
Category : Philosophy
ISBN : 9781136654282

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The Unity of Science by Rudolf Carnap Pdf

As a leading member of the Vienna Circle, Rudolph Carnap's aim was to bring about a "unified science" by applying a method of logical analysis to the empirical data of all the sciences. This work, first published in English in 1934, endeavors to work out a way in which the observation statements required for verification are not private to the observer. The work shows the strong influence of Wittgenstein, Russell, and Frege.

The Logical Foundations of Social Theory

Author : Gert H. Mueller
Publisher : University Press of America
Page : 261 pages
File Size : 43,5 Mb
Release : 2014-08-20
Category : Philosophy
ISBN : 9780761864394

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The Logical Foundations of Social Theory by Gert H. Mueller Pdf

The Logical Foundations of Social Theory describes Gert Mueller’s argument that physical, biological, social, moral, and cultural reality form an asymmetrical hierarchy of founding and controlling relationships that condition social reality rather than mechanically determining it. This book analyzes social stratification as labor, wealth and power, the moral order as solidarity, ideology and morality, and culture systems as art, science, and religion.

Patrick Suppes: Scientific Philosopher

Author : P. Humphreys
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 50,5 Mb
Release : 1994-09-30
Category : Language Arts & Disciplines
ISBN : 0792325532

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Patrick Suppes: Scientific Philosopher by P. Humphreys Pdf

Patrick Suppes is a philosopher and scientist whose contributions range over probability and statistics, mathematical and experimental psychology, the foundations of physics, education theory, the philosophy of language, measurement theory, and the philosophy of science. He has also been a pioneer in the area of computer assisted instruction. In each of these areas, Suppes has provided seminal ideas that in some cases led to shaping the direction of research in the field. The papers contained in this collection were commissioned with the mandate of advancing research in their respective fields rather than retrospectively surveying the contributions that Suppes himself has made. The authors form an interesting mixture of researchers in both formal philosophy of science and science itself all of whom have been inspired by his ideas. To maintain the spirit of constructive dialogue that characterizes Suppes's intellectual style, he has written individual responses to each article. In Volume 1: Probability and Probabilistic Causality, nineteen distinguished philosophers and scientists focus their attention on probabilistic issues. In Part I the contributors explore axiomatic representations of probability theory including qualitative and interval valued probabilities as well as traditional point valued probabilities. Belief structures and the dynamics of belief are also treated in detail. In Part II the rapidly growing field of probabilistic causation is assessed from both formal and empirical viewpoints. For probability theorists, statisticians, economists, philosophers of science, psychologists and those interested in the foundations of mathematical social science. In Volume 2: Philosophy of Physics, Theory Structure, and Measurement Theory, fifteen distinguished philosophers and scientists cover a wide variety of topics. Part III covers issues in quantum theory, geometry, classical mechanics, and computational physics. Part IV explores Suppes's well known set-theoretic account of scientific theories which has served him well throughout his career. Suppes's contributions to measurement theory have been widely used in mathematical psychology and elsewhere, and this material is the subject of Part V. For physicists, logicians, workers in mathematical social sicence, and philosophers of science. In Volume 3: Philosophy of Language and Logic, Learning and Action Theory, fourteen distinguished philosophers and scientists explore issues in the philosophy of language, logic, and philosophical psychology. Suppes's suggestions that quantum theory requires a rethinking of classical logic form a particularly sharp account of that controversial thesis, and Part VI deals with this issue together with topics in the philosophy of language and logic, including relational grammars and anaphora. Part VII deals with issues in psychology, action theory, and robotics, while Part VIII concludes with a general survey of Suppes's views in the philosophy of science. A comprehensive chronological and topical bibliography of Suppes's writings is included in this volume. For philosophers of language, theoretical linguists, logicians, workers in mathematical social sciences, and philosophers of science.

A Logical Foundation for Potentialist Set Theory

Author : Sharon Berry
Publisher : Cambridge University Press
Page : 249 pages
File Size : 55,6 Mb
Release : 2022-02-17
Category : Science
ISBN : 9781108834315

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A Logical Foundation for Potentialist Set Theory by Sharon Berry Pdf

A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.

Logical Foundations of Probability

Author : Rudolf Carnap
Publisher : Unknown
Page : 0 pages
File Size : 41,8 Mb
Release : 1962
Category : Electronic
ISBN : OCLC:1067867022

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Logical Foundations of Probability by Rudolf Carnap Pdf

Theory and Reality

Author : Peter Godfrey-Smith
Publisher : University of Chicago Press
Page : 412 pages
File Size : 44,6 Mb
Release : 2021-07-16
Category : Philosophy
ISBN : 9780226771137

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Theory and Reality by Peter Godfrey-Smith Pdf

How does science work? Does it tell us what the world is “really” like? What makes it different from other ways of understanding the universe? In Theory and Reality, Peter Godfrey-Smith addresses these questions by taking the reader on a grand tour of more than a hundred years of debate about science. The result is a completely accessible introduction to the main themes of the philosophy of science. Examples and asides engage the beginning student, a glossary of terms explains key concepts, and suggestions for further reading are included at the end of each chapter. Like no other text in this field, Theory and Reality combines a survey of recent history of the philosophy of science with current key debates that any beginning scholar or critical reader can follow. The second edition is thoroughly updated and expanded by the author with a new chapter on truth, simplicity, and models in science.