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Description Logic: The Theory of Formal Inference (Dover Books on Recreational Math)
Geared toward college undergraduates new to the subject, this concise introduction to formal logic was written by Alice Ambrose and Morris Lazerowitz, a pair of noted scholars and prolific authors in this field. A preliminary section opens the subject under the heading of truth-functions. Two subsequent parts on quantification and classes, each subdivided into numerous brief specifics, complete the overview. Suitable for students of philosophy as well as mathematics, the three-part treatment begins with the intuitive development of the standard theory of sentential connectives (called "operators"). The theory is further developed with the assistance of truth-tables and ultimately as a logistic system. Part II explores first-order quantification theory. In addition to examining most of the familiar laws that can be expressed by monadic formulas, the text addresses polyadic principles and the theories of identity and descriptions. Part III focuses on elementary concepts of classes, from class membership and class inclusion to the algebra of classes. The book concludes with a series of exercises.
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Logic: The Theory of Formal Inference (Dover Books on ~ Logic: The Theory of Formal Inference (Dover Books on Recreational Math) - Kindle edition by Ambrose, Alice, Lazerowitz, Morris. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Logic: The Theory of Formal Inference (Dover Books on Recreational Math).
Logic: The Theory of Formal Inference (Dover Books on ~ Buy Logic: The Theory of Formal Inference (Dover Books on Recreational Math) on FREE SHIPPING on qualified orders . As an alternative, the Kindle eBook is available now and can be read on any device with the free Kindle app. Ships from and sold by .
Introduction to Logic - Dover Publications / Dover Books ~ Coherent, well-organized text familiarizes readers with complete theory of logical inference and its applications to math and the empirical sciences. Part I deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Last section introduces numerous examples of axiomatically formulated .
Introduction to Logic: and to the Methodology of Deductive ~ Introduction to Logic: and to the Methodology of Deductive Sciences (Dover Books on Mathematics) - Kindle edition by Tarski, Alfred. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Introduction to Logic: and to the Methodology of Deductive Sciences (Dover Books on Mathematics).
Introduction to Mathematical Logic ~ 3 Formal number theory 154 3.1 An axiom system 154 3.2 Number-theoretic functions and relations 170 3.3 Primitive recursive and recursive functions 174 3.4 Arithmetization. Godel numbers 190 3.5 The fixed-point theorem. Godel's incompleteness theorem 203 3.6 Recursive undecidability. Church's theorem 216 4 Axiomatic set theory 225
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: Customer reviews: An Introduction to Formal Logic ~ This book is a beautiful entry-point, a must, in the world of logic. This book now stands in my list of outstanding books on logic : 1. A. Tarski's "Introduction to Logic", a jewel, followed by P. Smith's superb entry-point "An introduction to Formal logic" and the lovely "Logic, a very short introduction" by Graham Priest 2. D.
Recommended Books on Higher Mathematics / Math Vault ~ A comprehensive, mostly-non-technical survey on critical thinking and the various forms of logic in our daily routines, with Part II of the book dedicated to the development of formal logic and other math-based reasoning.
Mathematical logic - Wikipedia ~ Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. It bears close connections to metamathematics, the foundations of mathematics, and theoretical computer science. The unifying themes in mathematical logic include the study of the expressive power of formal systems and the deductive power of formal proof systems.
Foundations of mathematics - Wikipedia ~ Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague.
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