Author: Jean-Yves Béziau Publisher: Birkhäuser ISBN: 9783034601467 Category : Mathematics Languages : en Pages : 410
Book Description
A collection of papers from Paul Hertz to Dov Gabbay - through Tarski, Gödel, Kripke - giving a general perspective about logical systems. These papers discuss questions such as the relativity and nature of logic, present tools such as consequence operators and combinations of logics, prove theorems such as translations between logics, investigate the domain of validity and application of fundamental results such as compactness and completeness. Each of these papers is presented by a specialist explaining its context, import and influence.
Author: Jean-Yves Béziau Publisher: Birkhäuser ISBN: 9783034601443 Category : Mathematics Languages : en Pages : 0
Book Description
A collection of papers from Paul Hertz to Dov Gabbay - through Tarski, Gödel, Kripke - giving a general perspective about logical systems. These papers discuss questions such as the relativity and nature of logic, present tools such as consequence operators and combinations of logics, prove theorems such as translations between logics, investigate the domain of validity and application of fundamental results such as compactness and completeness. Each of these papers is presented by a specialist explaining its context, import and influence.
Author: Arnold Koslow Publisher: Springer ISBN: 3319101935 Category : Mathematics Languages : en Pages : 519
Book Description
This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schröder, MacColl). This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic.
Author: James Gasser Publisher: Springer Science & Business Media ISBN: 940159385X Category : Philosophy Languages : en Pages : 351
Book Description
Modern mathematical logic would not exist without the analytical tools first developed by George Boole in The Mathematical Analysis of Logic and The Laws of Thought. The influence of the Boolean school on the development of logic, always recognised but long underestimated, has recently become a major research topic. This collection is the first anthology of works on Boole. It contains two works published in 1865, the year of Boole's death, but never reprinted, as well as several classic studies of recent decades and ten original contributions appearing here for the first time. From the programme of the English Algebraic School to Boole's use of operator methods, from the problem of interpretability to that of psychologism, a full range of issues is covered. The Boole Anthology is indispensable to Boole studies and will remain so for years to come.
Author: Jens Lemanski Publisher: Springer Nature ISBN: 3030330907 Category : Mathematics Languages : en Pages : 318
Book Description
The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study.
Author: Gabriel Ciobanu Publisher: Springer ISBN: 3319108824 Category : Computers Languages : en Pages : 493
Book Description
This book constitutes the refereed proceedings of the 11th International Colloquium on Theoretical Aspects of Computing, ICTAC 2014 held in Bucharest, Romania, in September 2014. The 25 revised full papers presented together with three invited talks were carefully reviewed and selected from 74 submissions. The papers cover various topics such as automata theory and formal languages; principles and semantics of programming languages; theories of concurrency, mobility and reconfiguration; logics and their applications; software architectures and their models, refinement and verification; relationship between software requirements, models and code; static and dynamic program analysis and verification; software specification, refinement, verification and testing; model checking and theorem proving; models of object and component systems; coordination and feature interaction; integration of theories, formal methods and tools for engineering computing systems; service-oriented architectures: models and development methods; models of concurrency, security, and mobility; theories of distributed, grid and cloud computing; real-time, embedded, hybrid and cyber-physical systems; type and category theory in computer science; models for e-learning and education; case studies, theories, tools and experiments of verified systems; domain-specific modeling and technology: examples, frameworks and practical experience; challenges and foundations in environmental modeling and monitoring, healthcare, and disaster management.
Author: Jean van Heijenoort Publisher: Harvard University Press ISBN: 9780674324497 Category : Mathematics Languages : en Pages : 684
Book Description
Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.
Author: Richard Garnett Publisher: General Books ISBN: 9781458942494 Category : Languages : en Pages : 382
Book Description
Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: ? First a shiver, and then a thrill, Then something decidedly like a spill, ? And the parson was sitting upon a rock, At half-past nine by the meet'n'house clock, ? Just the hour of the Earthquake shock! ? What do you think the parson found, When he got up and stared around ? The poor old chaise in a heap or mound, As if it had been to the mill and ground! You see, of course, if you're not a dunce, How it went to pieces all at once, ? All at once, and nothing first, ? Just as bubbles do when they burst. End of the wonderful one-hoss shay. Logic is logic. That's all I say. THE LAST LEAF. Bi OLIVER WENDELL HOLMEa I Saw him once before As he passed by the door, And again The pavement stones resound, As he totters o'er the ground With his cane. They say that in his prime, Ere the pruning knife of Time Cut him down, Not a better man was found By the crier on his round Through the town. But now he walks the streets, And he looks at all he meets, Sad and wan. And he shakes his feeble head That it seems as if he said, They are gone. The mossy marbles rest On the lips that he has prest In their bloom. And the names he loved to hear Have been carved for many a year On the tomb. tj My grandmamma has said ? Poor old lady! she is dead Long ago ? That he had a Roman nose, And his cheek was like a rose In the snow. But now his nose is thin, And it rests upon his chin Like a staff. And a crook is in his back, And a melancholy crack In his laugh. I know it is a sin For me to sit and grin At him here; But the old three-cornered hat, And the breeches, and all that, Are so queer. And if I should live to be The last leaf upon the tree In the spring, Let them smile as I do...
Author: Jean-Yves Béziau
Author: Jean-Yves Béziau
Author: Arnold Koslow
Author: Timothy J. Madigan
Author: James Gasser
Author: Jens Lemanski
Author: Gabriel Ciobanu
Author: Dale Jacquette
Author: Jean van Heijenoort
Author: Richard Garnett