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The Logic Of Variation
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Book Synopsis The Logic of Variation by : Willemijn Vermaat
Download or read book The Logic of Variation written by Willemijn Vermaat and published by . This book was released on 2005 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Logic of Chance written by John Venn and published by . This book was released on 1888 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic written by John Grier Hibben and published by . This book was released on 1905 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Logic of Categorial Grammars by : Richard Moot
Download or read book The Logic of Categorial Grammars written by Richard Moot and published by Springer. This book was released on 2012-06-30 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for students in computer science, formal linguistics, mathematical logic and to colleagues interested in categorial grammars and their logical foundations. These lecture notes present categorial grammars as deductive systems, in the approach called parsing-as-deduction, and the book includes detailed proofs of their main properties. The papers are organized in topical sections on AB grammars, Lambek’s syntactic calculus, Lambek calculus and montague grammar, non-associative Lambek calculus, multimodal Lambek calculus, Lambek calculus, linear logic and proof nets and proof nets for the multimodal Lambek calculus.
Book Synopsis A Course in Mathematical Logic by : Yu.I. Manin
Download or read book A Course in Mathematical Logic written by Yu.I. Manin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. This book is above all addressed to mathematicians. It is intended to be a textbook of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last ten or fifteen years. These include: the independence of the continuum hypothe sis, the Diophantine nature of enumerable sets, the impossibility of finding an algorithmic solution for one or two old problems. All the necessary preliminary material, including predicate logic and the fundamentals of recursive function theory, is presented systematically and with complete proofs. We only assume that the reader is familiar with "naive" set theoretic arguments. In this book mathematical logic is presented both as a part of mathe matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought. Foundational problems are for the most part passed over in silence. Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. 2. The first two chapters are devoted to predicate logic. The presenta tion here is fairly standard, except that semantics occupies a very domi nant position, truth is introduced before deducibility, and models of speech in formal languages precede the systematic study of syntax.
Book Synopsis A Course in Mathematical Logic by : I͡U. I. Manin
Download or read book A Course in Mathematical Logic written by I͡U. I. Manin and published by Springer Science & Business Media. This book was released on 1977 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems.
Book Synopsis Foundations of the Logical Theory of Scientific Knowledge (Complex Logic) by : A.A. Zinov'ev
Download or read book Foundations of the Logical Theory of Scientific Knowledge (Complex Logic) written by A.A. Zinov'ev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boston Studies in the Philosophy of Science are devoted to symposia, con gresses, colloquia, monographs and collected papers on the philosophical foundations of the sciences. It is now our pleasure to include A. A. Zi nov'ev's treatise on complex logic among these volumes. Zinov'ev is one of the most creative of modern Soviet logicians, and at the same time an innovative worker on the methodological foundations of science. More over, Zinov'ev, although still a developing scholar, has exerted a sub stantial and stimulating influence upon his colleagues and students in Moscow and within other philosophical and logical circles of the Soviet Union. Hence it may be helpful, in bringing this present work to an English-reading audience, to review briefly some contemporary Soviet investigations into scientific methodology. During the 1950's, a vigorous new research program in logic was under taken, and the initial published work -characteristic of most Soviet pub lications in the logic and methodology of the sciences - was a collection of essays, Logical Investigations (Moscow, 1959). Among the authors, in addition to Zinov'ev himself, were the philosophers A. Kol'man and P. V. Tavanec, and the mathematicians and linguists, S. A. Janovskaja, A. S. Esenin-Vol'pin, S. K. Saumjan, G. N. Povarov.
Book Synopsis The Rise of Modern Logic: from Leibniz to Frege by : Dov M. Gabbay
Download or read book The Rise of Modern Logic: from Leibniz to Frege written by Dov M. Gabbay and published by Elsevier. This book was released on 2004-03-08 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.
Book Synopsis A Companion to Philosophical Logic by : Dale Jacquette
Download or read book A Companion to Philosophical Logic written by Dale Jacquette and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.
Book Synopsis Genetics and the Logic of Evolution by : Kenneth M. Weiss
Download or read book Genetics and the Logic of Evolution written by Kenneth M. Weiss and published by John Wiley & Sons. This book was released on 2004-01-23 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors draw on what is known, largely from recent research, about the nature of genes and cells, the genetics of development and animal and plant body plans, intra- and interorganismal communication, sensation and perception, to propose that a few basic generalizations, along with the modified application of the classical evolutionary theory, can provide a broader theoretical understanding of genes, evolution, and the diverse and complex nature of living organisms.
Book Synopsis The Logic of Life by : François Jacob
Download or read book The Logic of Life written by François Jacob and published by Princeton University Press. This book was released on 2022-08-02 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The most remarkable history of biology that has ever been written.”—Michel Foucault Nobel Prize–winning scientist François Jacob’s The Logic of Life is a landmark book in the history of biology and science. Focusing on heredity, which Jacob considers the fundamental feature of living things, he shows how, since the sixteenth century, the scientific understanding of inherited traits has moved not in a linear, progressive way, from error to truth, but instead through a series of frameworks. He reveals how these successive interpretive approaches—focusing on visible structures, internal structures (especially cells), evolution, genes, and DNA and other molecules—each have their own power but also limitations. Fundamentally challenging how the history of biology is told, much as Thomas Kuhn’s Structure of Scientific Revolutions did for the history of science as a whole, The Logic of Life has greatly influenced the way scientists and historians view the past, present, and future of biology.
Book Synopsis The Logic of Partial Information by : Areski Nait Abdallah
Download or read book The Logic of Partial Information written by Areski Nait Abdallah and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: One must be able to say at all times - in stead of points, straight lines, and planes - tables, chairs and beer mugs. (David Hilbert) One service mathematics has rendered the human race. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled "discarded nonsense. " (Eric T. Bell) This book discusses reasoning with partial information. We investigate the proof theory, the model theory and some applications of reasoning with par tial information. We have as a goal a general theory for combining, in a principled way, logic formulae expressing partial information, and a logical tool for choosing among them for application and implementation purposes. We also would like to have a model theory for reasoning with partial infor mation that is a simple generalization of the usual Tarskian semantics for classical logic. We show the need to go beyond the view of logic as a geometry of static truths, and to see logic, both at the proof-theoretic and at the model-theoretic level, as a dynamics of processes. We see the dynamics of logic processes bear with classical logic, the same relation as the one existing between classical mechanics and Euclidean geometry.
Book Synopsis Logic as Universal Science by : A. Korhonen
Download or read book Logic as Universal Science written by A. Korhonen and published by Springer. This book was released on 2013-02-05 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic as Universal Science offers a detailed reconstruction of the underlying philosophy in The Principles of Mathematics showing how Russell sought to deliver a death blow to the dominant Kantian view that formal logic is a concise and dry science and unable to enlarge our understanding.
Book Synopsis The Musical Idea and the Logic, Technique, and Art of Its Presentation, New Paperback English Edition by : Arnold Schoenberg
Download or read book The Musical Idea and the Logic, Technique, and Art of Its Presentation, New Paperback English Edition written by Arnold Schoenberg and published by Indiana University Press. This book was released on 2006-07-18 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents one of the most important documents in twentieth century musical thought.
Book Synopsis Logic Made Easy: How to Know When Language Deceives You by : Deborah J. Bennett
Download or read book Logic Made Easy: How to Know When Language Deceives You written by Deborah J. Bennett and published by W. W. Norton & Company. This book was released on 2005-07-12 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easy-to-follow introduction to logic that examines the relationship between language and logic, with dozens of visual and real-life examples of how language often defies logic.
Book Synopsis The Logic of Language by : Michael Shapiro
Download or read book The Logic of Language written by Michael Shapiro and published by Springer Nature. This book was released on 2022-08-21 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a basis for the exploration of language in a more systematic way. By surveying the several major divisions of language (phonology, morphology, syntax, lexis, tropology) and explicating the way in which sound and meaning cohere in them, this text lays bare––for students, scholars and advanced readers alike––the lineaments of an understanding of what makes language the sign system par excellence, in the service of its most important function as the instrument of cognition and of communication. This book is intended as a companion volume to Shapiro’s The Speaking Self: Language Lore and English Usage. The two volumes taken in tandem will provide a solid grounding in the observational science of linguistics, linking theory with practice in a way that will expand one’s understanding of language as a global phenomenon.
Book Synopsis Logic and Philosophy of Mathematics in the Early Husserl by : Stefania Centrone
Download or read book Logic and Philosophy of Mathematics in the Early Husserl written by Stefania Centrone and published by Springer Science & Business Media. This book was released on 2010-05-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl’s early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl’s logico-mathematical work. The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl’s Nachlaß that have not yet been the object of systematical scrutiny. This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.