An insightful anthology on universal logic features the work of many specialists. He has been working in france, poland, switzerland, brazil and. Preface this book is an introduction to logic for students of contemporary philosophy. Computational logic volume 9 handbook of the history of logic. This is the first volume of a collection of papers in honor of the fiftieth birthday of jeanyves beziau. Phrase searching you can use double quotes to search for a series of words in a particular order. The road to universal logic festschrift for the 50th birthday of jeanyves beziau volume ii.
Click download or read online button to get computational logic volume 9 handbook of the history of logic vol 9 book now. Current status of the research on universal logic using. The road to universal logic festschrift for the 50th birthday of. Jeanyves beziau is the editorinchief of the journal logica universalis and of the south american journal of logican online, openaccess journalas well as of the springer book series studies in universal logic.
From paraconsistent logic to universal logic by jeanyves beziau. Around and beyond the square of opposition studies in. Read the road to universal logic festschrift for the 50th birthday of jeanyves beziau volume ii by available from rakuten kobo. It also provides tools and concepts for those who want to study classes of already existing logics or want to design and build fresh ones. The present book contains recent works on universal logic. A number of approaches to universal logic have been proposed since the twentieth century, using model theoretic, and categorical approaches. This book features a collection of papers from paul hertz to dov gabbay through tarski, godel, kripke that give a general perspective about logical systems. The road to universal logic festschrift for the 50th birthday of jeanyves beziau. The book begins with an intuitive presentation of lds in the context of traditional current views of monotonic and nonmonotonic logics. The road to universal logic festschrift for the 50th birthday. Around and beyond the square of opposition studies in universal logic.
Festschrift for 50th birthday of jeanyves beziau volume i. Universal logic 3 jeanyves beziau works on a programme he calls universal logic. Logic or absolute laws of logic, but rather a type of logical structures who are fundamental mother structures in the sense of bourbaki. Read download fibring logics oxford logic guides pdf pdf. Jeanyves beziau is the editorinchief of the journal logica universalis and of the south american journal of logic an online, openaccess journalas well as of the springer book series studies in universal logic. Universal logic is a general siudy of logic in ibe same way as universal algebra is a general study of algebra. Universal is an artificial intelligence software company enables machines to see, react, and learn with humanlike flexibility at maximum robot speed. A collection of papers from paul hertz to dov gabbay through tarski, godel, kripke giving a general perspective about logical systems. Jeanyves beziaus research works federal university of rio. I find this book extremely useful and important, because it signifies the arrival of a new renaissance in logic, a new revival not only of logic, but of the vision of logic as a unifying tool for. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions identity, rule, quantification and history of logic leibniz, peirce, hilbert.
If your roommate picked up the book and thumbed through it, they would not immediately become a logic student. Shop amongst our popular books, including 10, the road to universal logic, the arbitrariness of the sign in question and more from jean yves beziau. Indeed, the book was concerned with the logic of the symbolic method, and. The road to universal logic ebook by 9783319101934. In the context defined by beziau, three main approaches to universal logic have been explored in depth. After describing my family background and interest for mathematics and philosophy at school, i explain how i became interested in logic when studying at the university in paris. Depends a bit what level you are at, and if you have any math background. It was a consequence of learning more about universal algebra and its connection with polish logic. Universal logic is not a new logic, but a general theory of logics, considered as mathematical structures. Book of proof is an ultimate guidebook even for those having the slightest of the inclination towards mathematical maturity. Dana scotts work with generalized consequence relations. He has a phd in philosopy and a phd in mathematics.
The road to universal logic festschrift for the 50th. These papers discuss questions such as the relativity and nature of logic, present tools such as consequence operators and combinations of logics, prove. Universal logic helps to clarify basic concepts explaining what is an extension and what is a deviation of a given logic, what does it mean for a logic to be equivalent or translatable into another one. What is the best intro to logic book for a self learner. Wildcard searching if you want to search for multiple variations of a word, you can substitute a special symbol called a wildcard for one or more letters. Pdf from universal algebra to universal logic researchgate. Jean yves beziau 1997 logic and logical philosophy 5. Towards a general theory of logic by beziau, jeanyves university of neuchatel. Jeanyves beziau is a swiss logician, philosopher and mathematician, phd in mathematics and phd in philosophy.
From paul hertz to dov gabbay studies in universal logic jeanyves beziau on. Paul hertz to dov gabbay studies in universal logic jeanyves beziau on. Categories for software engineering jose luiz fiadeiro. For example, world war ii with quotes will give more precise results than world war ii without quotes. An introduction to formal logic textbook equity open.
After describing my family background and interest for mathemat. Wojcicki has summarized these works in his book theory of logical calculi wojcicki 1988. A number of approaches to universal logic have been proposed since the twentieth century, using modeltheoretic and categorical approaches. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions. Universal logic aims to be to logic what universal algebra is to algebra. The expression universal logic prompts a number of misunderstandings pressing up against. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer. Yet, it is possible for someone besides a logic student to read this book. But his book is very interesting from the point of view of the philosophy of mathematics because he anticipated the idea of universal algebra by his search for. He is the originator of universal logic as a general theory of logical structures.
Each paper is presented by a specialist who explains its context. It allows to give precise definitions of notions often discussed by philosophers. This expression is highly ambiguous because it can mean two opposite things. He is also the editor of college publications book series logic phds. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. The expression universal logic prompts a number of misunderstandings pressing up against to the confusion prevailing nowadays around the very. This book contains various works on universal logic by researchers from around the world. Universal logic is not a new logic, but a general theory of logics, con. France, brazil, poland, california ucla, stanford, ucsd and switzerland.
Universal logic is the field of logic that is concerned with giving an account of what features are common to all logical structures. Computational logic volume 9 handbook of the history of. The road to universal logic ebook by 9783319153681. Free shipping and pickup in store on eligible orders. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including arnon avron, john corcoran, wilfrid.
These papers discuss questions such as the relativity and nature of logic, present tools such as consequence operators and combinations of. Beziaus plan, seems to side with the metaphysician, would have to side with both. Universal logic is the field of logic that studies the common features of all logical systems. The papers touch upon a wide range of topics including combination of logic, nonclassical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic. Even a girard, a brady or a hintikka would admit that, while anything cannot be considered as a logic, there are di. Beziau s explanations of what he means by universal logic are sampled from both the preface to his 2005 edited volume logica universalis. The present book contains recent works on universal logic by firstclass researchers from all around the world. Pdf universal algebra originates in hypercomplex numbers systems and. I decided to change the name abstract logic for universal logic at the beginning of 1993. A first version of this book was written when he was in brazil in the late. This second volume of a collection of papers offers new perspectives and challenges in the study of logic. Universal logic is the field of logic that studies the common features of all logical systems, aiming to be to logic what universal algebra is to algebra.
It covers i basic approaches to logic, including proof theory and especially model theory, ii extensions of standard logic such as modal logic that are. Jeanyves beziau works in the field of logicin particular, paraconsistent logic, the square of opposition and universal logic. He is the editorinchief and founder of the journal logica universalis, the south american journal of logic, the springer book series studies in universal logic, the college publication book series logic phds and book encyclopedia of logic as well as the area editor of logic of the internet encyclopedia of philosophy he is the organizer of. This book provides a gentle, software engineering oriented introduction to category theory. Ill only assign four chapters out of this and there is too much text. Universal logic conceptualizes a new logic, where the main inference connective is understood as meaning containment. I describe how i discovered the work of newton da costa on paraconsistent logic, how i met him in paris and then. It is less orientated towards the pure logician and more towards the practical consumer of logic.
This book features a collection of papers from paul hertz to dov gabbay. A good start for the absolute basics is paul tellers book it is free here, and has an answer manual for all the exercises which is somewhat of a rarity if you get through that and what to continue, check out peter smiths site, it has a great guide aimed at philosophers, though for self learners. The book lays a foundation for more theoretical courses like topology, analysis, and abstract algebra. Universal logic is to logic what universal algebra is to algebra. The book is full of new and challenging ideas that will guide the future of this exciting subject. The main part of the book presents the formal theory of lds for the formal logician. It is presented in honor of the fiftieth birthday of jeanyves beziau. Humberstone, il 2012, dana scotts work with generalized consequence relations.
Around and beyond the square of opposition studies in universal logic 2012th edition. Read the road to universal logic festschrift for 50th birthday of jeanyves beziau volume i by available from rakuten kobo. Beziau s universal logic is rather a general theory of logics. Jeanyves beziau 1997 logic and logical philosophy 5. He is the founder and editorinchief of the journal logica universalis and book. This theory, relevant to both quantification theory and modal logic both are tied to the logical square shows that there exists a field, between logic and geometry, where logicalgeometrical ndimensional solids highly symmetrical structures whose edges are implication arrows, instead of being limited to the square the poorest and ugliest. Springer also started to publish a book series on the topic, studies in universal logic, with beziau as series editor. It was a consequence of learning more about universal algebra and its connection with polish logic i soon realized that universal algebra was very popular among people working in polish logic. Beziau, jeanyves edt and a great selection of related books, art and collectibles available now at.
I tell how i came back to the land of the future, starting more editorial projects, organizing logic. It is a stateoftheart source of cuttingedge studies in the new interdisciplinary field of universal logic. Jeanyves beziau is a professor and researcher of the brazilian research council cnpq at the university of brazil in rio. Universal logic is a general theory of logics, considered as mathematical structures. For several years i have been developing a general theory of logics that i have called universal logic. It highlights logic, proofs, and other basic objects and language used in higher mathematics. He is the founder and editorinchief of the journal logica. It will be of interest for people who want to better understand what logic is.
1103 564 221 953 1419 889 11 820 322 855 1299 1448 490 1099 859 148 1253 965 833 1447 1471 1172 483 212 1107 1269 1050 197 990 596 452 800 787