Paraconsistent logic philosophy book

Consistency, contradiction and negation hardcover at. Paraconsistent logics are those which permit inference from inconsistent. What are the arguments for the necessity of paraconsistent logic. Someone reasoning with a paraconsistent logic can begin with inconsistent. Paraconsistent logic stanford encyclopedia of philosophy. This book is the first in the field of paraconsistency to offer a comprehensive overview. The papers are on the cutting edge of the literature some of which discuss current.

Paraconsistent logic is motivated not only by philosophical. What are the arguments for the necessity of paraconsistent. This covers most of the known systems, including discussive and adaptive logic, with original papers by the founders. Jun 14, 2016 this chapter offers a new approach to paraconsistent set theory by means of employing lfis and their powerful consistency operator into sets, as well as into sentences. Part of the handbook of philosophical logic book series halo, volume 6.

Paraconsistent logic project gutenberg selfpublishing. Can tao te ching be translated using paraconsistent logic. Paraconsistent logic internet encyclopedia of philosophy. The book is a landmark contribution to the projects of modal and paraconsistent logic, as well as philosophical logic more generally. Reprinted as the introductory chapters of paraconsistent logic, g. The book will give an attentive reader a solid understanding of the preservationist program, from its foundations to its cutting edge. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, manyvalued logic, relevance and paraconsistent logic, free logics, extensional v. A logic is called paraconsistent if it rejects the rule called ex contradictione quodlibet, according to which any conclusion follows from inconsistent premises. A logical consequence relation is said to be paraconsistent if it is not explosive. We show that basic field and compactness properties hold, by way of novel proofs that make no use of consistencyreliant inferences. But they are also aware that no book of any complexity contains only truths. For classical logic is the same as lp, except that it adds an extra assumption. According to the authors paraconsistent logic seems to be useful when applied in philosophy and theology consider the.

Paraconsistent logic news newspapers books scholar jstor april 2018 learn how and when to remove this template message. The author approaches ontology, metaphysics, and logic as having offered. Classical, aristotelian logic is an extreme form of consistencyseeking, showing an absolute intolerance by rejecting contradictions outright. This book is a basic tool for those who want to know more about paraconsistent logic, its history and philosophy, the various systems of paraconsistent logic and their applications. Alternatively, paraconsistent logic is the subfield of logic that is concerned with studying and developing paraconsistent or inconsistencytolerant systems of logic inconsistencytolerant logics have been discussed since at least 1910 and arguably much earlier, for example in. What is the most famous book on philosophical logic. This book gives an overview of paraconsistent logics that is logics which allow for inconsistency. The present volume is edited by jeanyves beziau, walter carnielli and dov gabbay, expert logicians versed in a variety of logics. He was a frequent collaborator with the late richard sylvan, a fellow proponent of dialetheism and paraconsistent logic. Paraconsistent logic is a eld of research based on the distinction between contradiction and triviality. Relations between paraconsistent logic and other logics. Paraconsistent logic refers to alternative nonclassical systems of logic which reject the principle of explosion, which states that once a contradiction has been asserted, any proposition can be inferred from it.

Paraconsistent logic comprises a major logical theory and offers the broadest possible perspective on the debate of negation in logic and philosophy. I have tried searching this subreddit and didnt find anything discussing this. Stefan zweig has written a book called brazil, country of the future, it does not seem that his. I recently listened to an interview with graham priest about paraconsistent logic but still remain unconvinced that there is any good reason to question the principle of noncontradiction. Most importantly it exemplifies a mode of doing philosophy of science that seems a welcome departure from the traditional focus on purely analytic arguments. The expression was coined by the peruvian philosopher mir o quesada as an answer to newton da costa looking for a good name for the systems he was working on. But it seems to me that most of them are about symbolic logic, baby logic or modal logic.

Logical systems are worth considering in their own right since we can learn about very abstract structural properties of logics and the concepts employed within them such as negation, necessity and consistency. Consistency, contradiction and negation logic, epistemology, and the unity of science book 40 kindle edition by carnielli, walter, coniglio, marcelo esteban. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. At least in one sense, classical logic is not simpler than paraconsistent logic, or at least lp.

My university course on philosophy of logic uses a. Use features like bookmarks, note taking and highlighting while reading paraconsistent logic. Paraconsistency is about trying to find a solution that transcends the problem i. Thus, if a consequence relation is paraconsistent, then even in circumstances where the available information is inconsistent, the consequence relation does not explode into triviality.

It is amazing how many inconsistent but nontrivial theories there are claimed to be. The following is a list of works by philosopher graham priest books. He has published over papers in journals and book chapters, including nous, mind, philosophy of science, synthese, erkenntnis, journal of philosophical logic, and analysis, among others. Alternatively, paraconsistent logic is the subfield of logic that is concerned with studying and developing paraconsistent or inconsistencytolerant systems of logic. This paper begins an analysis of the real line using an inconsistencytolerant paraconsistent logic. Download it once and read it on your kindle device, pc, phones or tablets. Essays on the inconsistent, graham priest, richard routley and jean norman eds. However, formatting rules can vary widely between applications and fields of interest or study. Grant that classical logic is simpler than paraconsistent logic. The introduction to priest 2005 is a clear statement of the case for paraconsistent logics. A paraconsistent logic is a logical system that attempts to deal with contradictions in a discriminating way.

This chapter offers a new approach to paraconsistent set theory by means of employing lfis and their powerful consistency operator into sets. Historically speaking, paraconsistency and dialetheism have been common themes in indian logic, especially jainist and buddhist logic. Pdf download philosophy of logic free unquote books. View that there are important paraconsistent logical theories.

While logicians have proposed many technically developed paraconsistent logical systems and. Some but not all paraconsistent logics are also dialetheic, meaning they hold to a view known as dialetheism, the view that some contradictions are simultaneously true and false. If a theory has a paraconsistent underlying logic, it may be inconsistent without being trivial that is, entailing everything. But if it does not also contain every proposition as it would for classical logic. Priest, graham, routley, richard and norman, jean eds. Although allowing for inconsistency, paraconsistent logics are worth considering. Inconsistencytolerant logics have been discussed since at least.

Quinn in 1940 published a book titled mathematical logic, and in 1970 under the title philosophy of logic, which by logic is understood as a systematic study of logical truths, and under the philosophy of logic a tool for analyzing natural language. Marcelo e coniglio this book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics. Popular logic and philosophy books goodreads share book. Assembling the previously scattered works of the preservationist school, this collection contains all of the most significant works on the basic theory of the preservationist approach to paraconsistent logic. A logic is paraconsistent if it does not validate the principle that from a pair of contradictory sentences, a and. And i would like to know what is the most famous book in this area. This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including conne. It is a powerful tool for reasoning under contradictoriness as it investigates logic systems in which contradictory information does not lead to arbitrary conclusions. I agree with the need for some form of consistency in philosophy. Paraconsistent logic bibliography sorted by topic stanford.

Priest, a longtime resident of australia, now residing in new york city, is the author of numerous books, and has published articles in nearly every major philosophical and logical journal. Paraconsistent logic routledge encyclopedia of philosophy. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like graham. Consistency, contradiction and negation by walter carnielli available from rakuten kobo. A system which contains contradictory proposition is inconsistent. It also has extensive histories of paraconsistent logic and philosophy, and a paper by the routleys on moral dilemmas. The book includes almost every major author currently working in the field. This book presents a comprehensive overview on paraconsistent logical systems to change this situation. Remarks on the applications of paraconsistent logic. Consistency, contradiction and negation walter carnielli,marcelo esteban coniglio this book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. Handbook of the 5th world congress on paraconsistency. Paraconsistent mathematics refers to attempts to develop mathematics on top of a foundation of paraconsistent logic and paraconsistent set theory. This book presents a comprehensive overview on paraconsistent logical. This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, read more.