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Notes on Logic and Set Theory

1987-10-08 Mathematics
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Release : 1987-10-08
Genre : Mathematics
Kind : eBook
Book Rating : 027/5 ( reviews)

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Book Synopsis Notes on Logic and Set Theory by : P. T. Johnstone

Download or read book Notes on Logic and Set Theory written by P. T. Johnstone. This book was released on 1987-10-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Wittgenstein's Notes on Logic

2009-01-22 Philosophy
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Release : 2009-01-22
Genre : Philosophy
Kind : eBook
Book Rating : 839/5 ( reviews)

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Book Synopsis Wittgenstein's Notes on Logic by : Michael Potter

Download or read book Wittgenstein's Notes on Logic written by Michael Potter. This book was released on 2009-01-22. Available in PDF, EPUB and Kindle. Book excerpt: 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 Matters

1980-04-30 Philosophy
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Release : 1980-04-30
Genre : Philosophy
Kind : eBook
Book Rating : 479/5 ( reviews)

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Book Synopsis Logic Matters by : P. T. Geach

Download or read book Logic Matters written by P. T. Geach. This book was released on 1980-04-30. Available in PDF, EPUB and Kindle. Book excerpt: "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: Lecture Notes for Philosophy, Mathematics, and Computer Science

2021-05-10 Philosophy
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Release : 2021-05-10
Genre : Philosophy
Kind : eBook
Book Rating : 117/5 ( reviews)

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Book Synopsis LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science by : Andrea Iacona

Download or read book LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science written by Andrea Iacona. This book was released on 2021-05-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantifiers, Propositions and Identity

2011-07-14 Mathematics
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Release : 2011-07-14
Genre : Mathematics
Kind : eBook
Book Rating : 527/5 ( reviews)

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Book Synopsis Quantifiers, Propositions and Identity by : Robert Goldblatt

Download or read book Quantifiers, Propositions and Identity written by Robert Goldblatt. This book was released on 2011-07-14. Available in PDF, EPUB and Kindle. Book excerpt: Develops new semantical characterisations of many logical systems with quantification that are incomplete under the traditional Kripkean possible worlds interpretation. This book is for mathematical or philosophical logicians, computer scientists and linguists, including academic researchers, teachers and advanced students.

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