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LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science by Andrea Iacona Pdf
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.
These lectures on logic, more specifically proof theory, are basically intended for postgraduate students and researchers in logic. The question at stake is the nature of mathematical knowledge and the difference between a question and an answer, i.e., the implicit and the explicit. The problem is delicate mathematically and philosophically as well: the relation between a question and its answer is a sort of equality where one side is ``more equal than the other'': one thus discovers essentialist blind spots. Starting with Godel's paradox (1931)--so to speak, the incompleteness of answers with respect to questions--the book proceeds with paradigms inherited from Gentzen's cut-elimination (1935). Various settings are studied: sequent calculus, natural deduction, lambda calculi, category-theoretic composition, up to geometry of interaction (GoI), all devoted to explicitation, which eventually amounts to inverting an operator in a von Neumann algebra. Mathematical language is usually described as referring to a preexisting reality. Logical operations can be given an alternative procedural meaning: typically, the operators involved in GoI are invertible, not because they are constructed according to the book, but because logical rules are those ensuring invertibility. Similarly, the durability of truth should not be taken for granted: one should distinguish between imperfect (perennial) and perfect modes. The procedural explanation of the infinite thus identifies it with the unfinished, i.e., the perennial. But is perenniality perennial? This questioning yields a possible logical explanation for algorithmic complexity. This highly original course on logic by one of the world's leading proof theorists challenges mathematicians, computer scientists, physicists, and philosophers to rethink their views and concepts on the nature of mathematical knowledge in an exceptionally profound way.
Truth, etc. is a wide-ranging study of ancient logic based upon the John Locke lectures given by the eminent philosopher Jonathan Barnes in Oxford. Its six chapters discuss, first, certain ancient ideas about truth; secondly, the Aristotelian conception of predication; thirdly, various ideas about connectors which were developed by the ancient logicians and grammarians; fourthly, the notion of logical form, insofar as it may be discovered in the ancient texts; fifthly, the question of the 'justification of deduction'; and sixthly, the attitude which has been called logical utilitarianism and which restricts the scope of logic to those forms of inference which are or might be useful for scientific proofs. In principle, the book presupposes no knowledge of logic and no skill in ancient languages: all ancient texts are cited in English translation; and logical symbols and logical jargon are avoided so far as possible. There is no scholarly apparatus of footnotes, and no bibliography. It can be read in an armchair. Anyone interested in ancient philosophy, or in logic and its history, will find it interesting.
Concept and Judgment in Brentano's Logic Lectures by Robin D. Rollinger Pdf
Concept and Judgment in Brentano's Logic Lectures provides an analysis of an important feature of Brentano's philosophy in the 19th century. Relevant materials in both German and English are also included in the volume.
This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.
Popular Lectures on Mathematical Logic by Hao Wang Pdf
Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.
Frege&s lectures on logic by Gottlob Frege,Rudolf Carnap Pdf
"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.
Lectures in Logic and Set Theory: Volume 2, Set Theory by George Tourlakis Pdf
Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).
Georg Wilhelm Friedrich Hegel gave many lectures in logic at Berlin University between 1818 and his untimely death in 1831. Edited posthumously by Hegel's son, Karl, these lectures were published in German in 2001 and now appear in English for the first time. Because they were delivered orally, Lectures on Logic is more approachable and colloquial than much of Hegel's formal philosophy. The lectures provide important insight into Hegel's science of logic, dialectical method, and symbolic logic. Clark Butler's smooth translation helps readers understand the rationality of Hegel's often dark and difficult thought. Readers at all levels will find a mature and particularly clear presentation of Hegel's systematic philosophical vision.
Reasoning and the Logic of Things by Charles Sanders Peirce Pdf
Charles Sanders Peirce (1839-1914) was an American philosopher, physicist, mathematician and founder of pragmatism. This book provides readers with philosopher's only known, complete account of his own work. It comprises a series of lectures given in Cambridge, Massachusetts in 1898.
Hegel's Science of Logic by Richard Dien Winfield Pdf
This text provides a truly comprehensive guide to one of the most important and challenging works of modern philosophy. The systematic complexity of Hegel's radical project in the Science of Logic prevents many from understanding and appreciating its value. By independently and critically working through Hegel's argument, this book offers an enlightening aid for study and anchors the Science of Logic at a central position in the philosophical canon.
Pragmatic Logic presents the analysis and design of digital logic systems. The author begins with a brief study of binary and hexadecimal number systems and then looks at the basics of Boolean algebra. The study of logic circuits is divided into two parts, combinational logic, which has no memory, and sequential logic, which does. Numerous examples highlight the principles being presented. The text ends with an introduction to digital logic design using Verilog, a hardware description language. The chapter on Verilog can be studied along with the other chapters in the text. After the reader has completed combinational logic in Chapters 4 and 5, sections 9.1 and 9.2 would be appropriate. Similarly, the rest of Chapter 9 could be studied after completing sequential logic in Chapters 6 and 7. This short lecture book will be of use to students at any level of electrical or computer engineering and for practicing engineers or scientists in any field looking for a practical and applied introduction to digital logic. The author's ""pragmatic"" and applied style gives a unique and helpful ""non-idealist, practical, opinionated"" introduction to digital systems.