Wittgenstein's Notes on Logic

Wittgenstein's Notes on Logic PDF

Author: Michael Potter

Publisher: Oxford University Press on Demand

Published: 2009-01-22

Total Pages: 325

ISBN-13: 0199215839

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Michael Potter shows, for the first time, that Wittgenstein's early Notes on Logic are a work of philosophical and historical importance. Using a challenging blend of biography and philosophy, he draws new conclusions about the nature of the Notes, the genesis of the Tractatus, and Wittgenstein's working methods.

LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science

LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science PDF

Author: Andrea Iacona

Publisher: Springer Nature

Published: 2021-05-10

Total Pages: 228

ISBN-13: 3030648117

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This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students. This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers, undergraduates and graduates in mathematics, computer science or related fields in which logic is required.

Notes on Logic and Set Theory

Notes on Logic and Set Theory PDF

Author: P. T. Johnstone

Publisher: Cambridge University Press

Published: 1987-10-08

Total Pages: 128

ISBN-13: 9780521335027

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A succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. Suitable for all introductory mathematics undergraduates, Notes on Logic and Set Theory covers the basic concepts of logic: first-order logic, consistency, and the completeness theorem, before introducing the reader to the fundamentals of axiomatic set theory. Successive chapters examine the recursive functions, the axiom of choice, ordinal and cardinal arithmetic, and the incompleteness theorems. Dr. Johnstone has included numerous exercises designed to illustrate the key elements of the theory and to provide applications of basic logical concepts to other areas of mathematics.

Logic Matters

Logic Matters PDF

Author: P. T. Geach

Publisher: Univ of California Press

Published: 1980-04-30

Total Pages: 356

ISBN-13: 9780520038479

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"This is a significant and ofren rather demanding collection of essays. It is an anthology purring together the uncollected works of an important twentieth-century philosopher. Many of the articles treat one or another of the more important issues considered by analytic philosophers during the last quarter-century. Of significant importance to philosophers interested in researching the many topics contained in Logic Matters is the inclusion in this anthology of a rather extensive eight-page name-topic index."--Thomist "The papers are arranged by topic: Historical Essays, Traditional Logic, Theory of Reference and Syntax, Intentionality, Quotation and Semantics, Set Theory, Identity Theory, Assertion, Imperatives and Practical Reasoning, Logic in Metaphysics and Theology. The broad range of issues that have engaged Geach's complex and systematic reasoning is impressive. In addition to classical logic, topics in ethics, ontology, and even the logic of religious dogmas are tackled .... the work in this collection is more brilliant and ingenious than it is difficult and demanding."--Philosophy of Science "Geach displays his mastery of applying logical techniques and concepts to philosophical questions. Compared with most works in philosophical logic this book is remarkable for its range of topics. Plato, Aristotle, Aquinas, Russell, Wittgenstein, and Quine all figure prominently. Geach's style is remarkably lively considering the rightly argued matter. Although some of the articles treat rather technical questions in mathematical logic, most are accessible to philosophers with modest backgrounds in logic." --Choice

Logic and Algebra

Logic and Algebra PDF

Author: Aldo Ursini

Publisher: Routledge

Published: 2017-10-05

Total Pages: 728

ISBN-13: 1351434721

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""Attempts to unite the fields of mathematical logic and general algebra. Presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the blossoming of research in mathematical logic in Italy since the 1960s.

A Course in Model Theory

A Course in Model Theory PDF

Author: Katrin Tent

Publisher: Cambridge University Press

Published: 2012-03-08

Total Pages: 259

ISBN-13: 052176324X

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Concise introduction to current topics in model theory, including simple and stable theories.

Frege&s lectures on logic

Frege&s lectures on logic PDF

Author: Gottlob Frege

Publisher: Open Court Publishing

Published: 2004

Total Pages: 196

ISBN-13: 9780812695465

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"By looking at Frege's lectures on logic through the eyes of the young Carnap, this book casts new light on the history of logic and analytic philosophy. As two introductory essays by Gottfried Gabriel and by Erich H. Reck and Steve Awodey explain, Carnap's notes allow us to better understand Frege's deep influence on Carnap and analytic philosophy, as well as the broader philosophical matrix from which both continental and analytic styles of thought emerged in the 20th century."--BOOK JACKET.

Logic and Representation

Logic and Representation PDF

Author: Robert C. Moore

Publisher: Center for the Study of Language (CSLI)

Published: 1995

Total Pages: 222

ISBN-13: 9781881526155

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Logic and Representation brings together a collection of essays, written over a period of ten years, that apply formal logic and the notion of explicit representation of knowledge to a variety of problems in artificial intelligence, natural language semantics and the philosophy of mind and language. Particular attention is paid to modelling and reasoning about knowledge and belief, including reasoning about one's own beliefs, and the semantics of sentences about knowledge and belief. Robert C. Moore begins by exploring the role of logic in artificial intelligence, considering logic as an analytical tool, as a basis for reasoning systems, and as a programming language. He then looks at various logical analyses of propositional attitudes, including possible-world models, syntactic models, and models based on Russellian propositions. Next Moore examines autoepistemic logic, a logic for modelling reasoning about one's own beliefs. Rounding out the volume is a section on the semantics of natural language, including a survey of problems in semantic representation; a detailed study of the relations among events, situations, and adverbs; and a presentation of a unification-based approach to semantic interpretation. Robert C. Moore is principal scientist of the Artificial Intelligence Center of SRI International.

Design, Analysis and Test of Logic Circuits Under Uncertainty

Design, Analysis and Test of Logic Circuits Under Uncertainty PDF

Author: Smita Krishnaswamy

Publisher: Springer Science & Business Media

Published: 2012-09-21

Total Pages: 130

ISBN-13: 9048196442

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Logic circuits are becoming increasingly susceptible to probabilistic behavior caused by external radiation and process variation. In addition, inherently probabilistic quantum- and nano-technologies are on the horizon as we approach the limits of CMOS scaling. Ensuring the reliability of such circuits despite the probabilistic behavior is a key challenge in IC design---one that necessitates a fundamental, probabilistic reformulation of synthesis and testing techniques. This monograph will present techniques for analyzing, designing, and testing logic circuits with probabilistic behavior.

Logic Colloquium '01

Logic Colloquium '01 PDF

Author: Association for Symbolic Logic

Publisher: A K Peters/CRC Press

Published: 2005-03-07

Total Pages: 504

ISBN-13:

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A compilation of papers presented at the 2001 European Summer Meeting of the Association for Symbolic Logic, Logic Colloquium '01 includes surveys and research articles from some of the world's preeminent logicians. Two long articles are based on tutorials given at the meeting and present accessible expositions of research in two active areas of logic, geometric model theory and descriptive set theory of group actions. The remaining articles cover seperate research topics in many areas of mathematical logic, including applications in Computer Science, Proof Theory, Set Theory, Model Theory, Computability Theory, and aspects of Philosophy. This collection will be of interest not only to specialists in mathematical logic, but also to philosophical logicians, historians of logic, computer scientists, formal linguists and mathematicians in the areas of algebra, abstract analysis and topology. A number of the articles are aimed at non-specialists and serve as good introductions for graduate students.