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Author: John Stuart Mill
Publisher: Courier Corporation
ISBN: 0486841979
Category : Philosophy
Languages : en
Pages : 130
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Book Description
John Stuart Mill (1806–73) was the most influential English philosopher of the nineteenth century. His vast intellectual output covered a range of subjects — traditional philosophy and logic, economics, political science — and included this work, a founding document in the area now known as social science. In The Logic of the Moral Sciences, Mill applied his considerable talents to examining how the study of human behavior, society, and history could be established on a rational, philosophical basis. The philosopher maintains that casual empiricism and direct experiment are not applicable to the study of complex social phenomena. Instead, "empirical laws," drawn from historical generalizations, must be derivable from a deductive science of human nature. Mills' insights and approaches have remained relevant in the century and a half since this treatise's publication. This volume will prove of vital interest to historians of philosophy and the social sciences as well as to undergraduate social science majors.
Author: John Stuart Mill
Publisher: Courier Corporation
ISBN: 0486841979
Category : Philosophy
Languages : en
Pages : 130
Get Book Here
Book Description
John Stuart Mill (1806–73) was the most influential English philosopher of the nineteenth century. His vast intellectual output covered a range of subjects — traditional philosophy and logic, economics, political science — and included this work, a founding document in the area now known as social science. In The Logic of the Moral Sciences, Mill applied his considerable talents to examining how the study of human behavior, society, and history could be established on a rational, philosophical basis. The philosopher maintains that casual empiricism and direct experiment are not applicable to the study of complex social phenomena. Instead, "empirical laws," drawn from historical generalizations, must be derivable from a deductive science of human nature. Mills' insights and approaches have remained relevant in the century and a half since this treatise's publication. This volume will prove of vital interest to historians of philosophy and the social sciences as well as to undergraduate social science majors.
Author: Andrew W. Appel
Publisher: Princeton University Press
ISBN: 0691164738
Category : Computers
Languages : en
Pages : 160
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Book Description
A facsimile edition of Alan Turing's influential Princeton thesis Between inventing the concept of a universal computer in 1936 and breaking the German Enigma code during World War II, Alan Turing (1912–1954), the British founder of computer science and artificial intelligence, came to Princeton University to study mathematical logic. Some of the greatest logicians in the world—including Alonzo Church, Kurt Gödel, John von Neumann, and Stephen Kleene—were at Princeton in the 1930s, and they were working on ideas that would lay the groundwork for what would become known as computer science. This book presents a facsimile of the original typescript of Turing's fascinating and influential 1938 Princeton PhD thesis, one of the key documents in the history of mathematics and computer science. The book also features essays by Andrew Appel and Solomon Feferman that explain the still-unfolding significance of the ideas Turing developed at Princeton. A work of philosophy as well as mathematics, Turing's thesis envisions a practical goal—a logical system to formalize mathematical proofs so they can be checked mechanically. If every step of a theorem could be verified mechanically, the burden on intuition would be limited to the axioms. Turing's point, as Appel writes, is that "mathematical reasoning can be done, and should be done, in mechanizable formal logic." Turing's vision of "constructive systems of logic for practical use" has become reality: in the twenty-first century, automated "formal methods" are now routine. Presented here in its original form, this fascinating thesis is one of the key documents in the history of mathematics and computer science.
Author: John Stuart Mill
Publisher:
ISBN:
Category : Knowledge, Theory of
Languages : en
Pages : 610
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Book Description
Author: Rafal Urbaniak
Publisher: Springer Science & Business Media
ISBN: 3319004824
Category : Science
Languages : en
Pages : 240
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Book Description
This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.
Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486139646
Category : Mathematics
Languages : en
Pages : 516
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Book Description
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
Author: Theodore Sider
Publisher: Oxford University Press
ISBN: 0192658816
Category : Philosophy
Languages : en
Pages : 305
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Book Description
Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
Author: DAVID PROTHEROE DOUGLAS LEWIN
Publisher: Springer
ISBN: 1489968563
Category : Computers
Languages : en
Pages : 713
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Book Description
Author: Eugenia Cheng
Publisher: Basic Books
ISBN: 154167250X
Category : Mathematics
Languages : en
Pages : 296
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Book Description
How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
Author: Merrie Bergmann
Publisher: McGraw-Hill Humanities/Social Sciences/Languages
ISBN: 9780073535630
Category : Philosophy
Languages : en
Pages : 0
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Book Description
This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.
Author: Fred Kröger
Publisher: Springer Science & Business Media
ISBN: 3540674012
Category : Computers
Languages : en
Pages : 440
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Book Description
Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic; TLA (Temporal Logic of Actions); automata theoretical connections; model checking; and related theories. All theoretical details and numerous application examples are elaborated carefully and with full formal rigor, and the book will serve as a basic source and reference for lecturers, graduate students and researchers.
