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Wittgenstein's Notes on Logic

Wittgenstein's Notes on Logic PDF Author: Michael Potter
Publisher: Oxford University Press, USA
ISBN: 0199215839
Category : Philosophy
Languages : en
Pages : 325

Book Description
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.

Wittgenstein's Notes on Logic

Wittgenstein's Notes on Logic PDF Author: Michael Potter
Publisher: Oxford University Press, USA
ISBN: 0199215839
Category : Philosophy
Languages : en
Pages : 325

Book Description
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
ISBN: 3030648117
Category : Philosophy
Languages : en
Pages : 228

Book Description
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
ISBN: 9780521335027
Category : Mathematics
Languages : en
Pages : 128

Book Description
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
ISBN: 9780520038479
Category : Philosophy
Languages : en
Pages : 356

Book Description
"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

A Logical Foundation for Potentialist Set Theory

A Logical Foundation for Potentialist Set Theory PDF Author: Sharon Berry
Publisher: Cambridge University Press
ISBN: 1108834310
Category : Science
Languages : en
Pages : 249

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

A Course in Model Theory

A Course in Model Theory PDF Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 052176324X
Category : Mathematics
Languages : en
Pages : 259

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

Logic and Representation

Logic and Representation PDF Author: Robert C. Moore
Publisher: Center for the Study of Language (CSLI)
ISBN: 9781881526155
Category : Language Arts & Disciplines
Languages : en
Pages : 222

Book Description
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.

Logic and Algebra

Logic and Algebra PDF Author: Aldo Ursini
Publisher: Routledge
ISBN: 1351434721
Category : Mathematics
Languages : en
Pages : 728

Book Description
""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 Manual of Intensional Logic

A Manual of Intensional Logic PDF Author: Johan F. A. K. van Benthem
Publisher: Center for the Study of Language and Information Publications
ISBN: 9780937073292
Category : Mathematics
Languages : en
Pages : 145

Book Description
Intensional logic is the technical study of such intensional phenomena in human reasoning as modality, knowledge, or flow of time. These all require a richer semantic picture than standard truth values in one static environment. Such a picture is provided by so-called possible worlds semantics, a paradigm which is surveyed in this book, both as to its external sources of motivation and as to the internal dynamics of the resulting program. In particular, Manual of Intensional Logic presents the major classical topics, including modal logic, tense logic, and conditional logic, all of which illustrate motivations coming from philosophy and linguistics. The Book also discusses recent computational applications in computer science and AI. Finally, Manual of Intensional Logic takes up recent developments in the study of language and information making themselves felt in the area. The Book examines the role of partial information--with illustrations drawn from different branches of Intensional Logic--and various influences stemming from current theories of the semantics of natural language, involving generalized quantifiers and theories of types.

A Concise Introduction to Logic

A Concise Introduction to Logic PDF Author: Craig DeLancey
Publisher: Open SUNY Textbooks
ISBN: 9781942341437
Category :
Languages : en
Pages :

Book Description