From the start the better logicians found much to take exception to in Prantl. Peirce, for example, describes him as "a writer of little judgment and over-rated learning, whose useful history of logic is full of blunders, misappreciations, and insensate theories, and whose own Billingsgate justifies almost any tone toward him". As is indicated in this comment, Prantl attempted to judge and assess the value of the logical achievements that he made the object of his study. However, he (...) himself had little logical acumen. If not justified, this is to some extent excused by Heinrich Scholz, the first comprehensive historian of logic after Prantl. In his Abriß der Geschichte der Logik, which first appeared in 1931 and has now been translated, he maintains that no trustworthy conception of the history of logic was possible until modern and mathematical logic provided a precise criterion for formal logic. In particular he maintains that logic in the course of its history has assumed different Gestalten, which must be distinguished if sense is to be made of it. He is especially concerned to distinguish formal logic, whether in its ancient Aristotelian or its modern mathematical Gestalt, from its non-formal extensions into psychology, epistemology, and metaphysics. It is certainly true that the rise of mathematical logic has also witnessed a renewed interest in the history of logic. Scholars using the means provided by modern analysis have found much in the past of great logical interest, which had previously been dismissed as worthless extravagance. The logic of the Stoics and of the 14th-century scholastics are prime examples. (shrink)

This chapter contains sections titled: A Timeline of Medieval Logicians A Guide to the Literature.

History of Logic and Semantics offers a collection of studies on the development of the Aristotelian and terminist approaches to language, from the Boethian reception of Aristotle to the post-medieval terminism. These articles were also published in Vivarium, Volume 53, Nos. 2-4.

History of Logic in China: 5 Questions is a collection of short interviews based on 5 questions presented to some of the most influential and prominent scholars in the field. We hear their views on the field, the aim, the scopes, the future direction of research and how their work fits in these respects. Interviews with Rens Bod, Chung-Ying Cheng, Cui Qingtian, Dong Zhitie, Chris Fraser, Yiu-Ming Fung, Jane Geaney, Chad Hansen, Christoph Harbsmeier, Ju Zhonglin, Hsien-Chung Lee, Jer-Shiarn (...) Lee, Michiel Leezenberg, Liu Peiyu, Thierry Lucas, Gregor Paul, Dan Robins, Shen Jianying, Sun Zhongyuan, Wang Kexi, Yang Wujin, Zhai Jincheng, Zheng Weihong, Zhou Shan and Zhou Yunzhi. (shrink)

Aristotle was the first thinker to devise a logical system. He drew upon the emphasis on universal definition found in Socrates, the use of reductio ad absurdum in Zeno of Elea, claims about propositional structure and negation in Parmenides and Plato, and the body of argumentative techniques found in legal reasoning and geometrical proof. Yet the theory presented in Aristotle’s five treatises known as the Organon—the Categories, the De interpretatione, the Prior Analytics, the Posterior Analytics, and the Sophistical Refutations—goes far (...) beyond any of these. (shrink)

The author offers some interesting suggestions for the rewriting of the history of logic which modern developments in symbolic logic demand. He divides the history into two parts, the first dealing with what is called the Aristotelian core of logic and the improvements made on that core within a basically classical tradition, and the second, with the tradition of improvements inspired by Leibniz' idea of mathematical logic. The book is brief and much less of (...) a comprehensive history than a prolegomena.--R. H. K. (shrink)

It must be acknowledged that the essays presented here do not constitute a systematic account of any sort but represent occasional forays. Some deal with matters that happened to evoke Rescher's interest, others grew out of a chance encounter with a text he deemed to be of particular value. Throughout, challenges of the work itself more than compensated the author's efforts. Logic has always been of crucially important concern to philosophers. Rescher's own involvement with the history of (...) class='Hi'>logic goes back to his work on Leibniz in the 1950's (represented by Chapter 8 of the present book). Thereafter, during the 1960's he devoted considerable effort to the contributions of the medieval logicians of the Arabic-using world (here represented in Chapters 2-6). Moreover, Rescher have from time to time returned to the area to look at some aspects of the more recent scene, as Chapters 8-9 illustrate. In some instances the present essays have been overtaken by subsequent events-events which in fact helped to promote. This is true in particular in chapter 6's work on Arabic work regarding temporal modalities, which was instrumental in evoking the important contributions of Tony Street of Cambridge University. (shrink)

Excerpt from A History of Formal Logic In this edition of the most considerable history Of formal logic yet published, the Opportunity has Of course been taken to make some adjustments seen to be necessary in the original, with the author's full concurrence. Only in 36, however, has the numeration of cited passages been altered owing to the introduction of new matter. Those changes are as follows. About the Publisher Forgotten Books publishes hundreds of thousands of (...) rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

The book is a collection of the author¿s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains (...) essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered. This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields. (shrink)

This volume brings together the studies by the late Gabriel Nuchelmans (1922-96) on the history of logic and semantics from the 12th to the 17th century. They exemplify his conviction that the study of problems of modern analytical philosophy can help in understanding the authors of earlier centuries - and that the study of earlier solutions can stimulate modern discussions. The first articles deal with medieval theories of the proposition and predication; the final section is concerned with Renaissance (...) philosophy, from Lorenzo Valla to Locke. (shrink)

This is a "revised, updated and enlarged translation" of the second edition of the single volume Romanian work Istoria Logicii published by Editura Didactica, Bucharest, 1975.

The editors of the Handbook of the History of Logic adopted various strategies of narration in particular volumes of the entire work. Presentations are sometimes o...

Inductive Logic is number ten in the 11-volume Handbook of the History of Logic. While there are many examples were a science split from philosophy and became autonomous (such as physics with Newton and biology with Darwin), and while there are, perhaps, topics that are of exclusively philosophical interest, inductive logic — as this handbook attests — is a research field where philosophers and scientists fruitfully and constructively interact. This handbook covers the rich history of (...) scientific turning points in Inductive Logic, including probability theory and decision theory. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. (shrink)

Comme tout hommage posthume réussi, le livre que nous recensons souffre de ce douloureux paradoxe : celui dont on honore la mémoire aurait adoré le lire. Il s’agit également de l’un des très rares hommages posthumes dont la liste des contributeurs comprend le nom du défunt lui-même. Joli pied de nez qu’aurait sans aucun doute apprécié l’apparemment très austère Angel d’Ors (1951-2012). Les quelque treize contributions réunies par Paloma Pérez-Ilzarbe et María Cerezo sont parfaitement représen...

Ayda Ignez Arruda was a key figure in the development of the Brazilian school of Paraconsistent logic and the first person to write a historical survey of the field. Despite her importa...

A Short History of Logic by William Ritchie Sorley, first published in 1911, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent (...) damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it. (shrink)

The book is a collection of the author’s selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its epistemological status, the history of the philosophical background of the concept of number, the structuralist epistemology of mathematics and the phenomenological philosophy of mathematics. Part II contains (...) essays in the history of logic and mathematics. They address such issues as the philosophical background of the development of symbolism in mathematical logic, Giuseppe Peano and his role in the creation of contemporary logical symbolism, Emil L. Post's works in mathematical logic and recursion theory, the formalist school in the foundations of mathematics and the algebra of logic in England in the 19th century. The history of mathematics and logic in Poland is also considered.This volume is of interest to historians and philosophers of science and mathematics as well as to logicians and mathematicians interested in the philosophy and history of their fields. (shrink)

AbstractŁukasiewicz introduced a new methodological approach to the history of logic. It consists of the use of modern formal logic in the research of the history of logic. Although he was not the first to use formal logic in his historical research, Łukasiewicz was the first who used it consistently and formulated it as a requirement for a historian of logic. The aim of this paper is to present Łukasiewicz's contribution and the (...) class='Hi'>history of its formulation. In addition, the paper will present its reception. There are two main themes in Łukasiewicz’s work on the history of logic. He discussed Stoic logic and Aristotle’s syllogistic. The second part of the paper focuses on current reception of Łukasiewicz’s contribution and on the question of whether there is a difference between knowledge about his contribution to Stoic logic and to Aristotle’s syllogistic, given that it has been hypothesised that Łukasiewicz’s contribution is currently more known among Aristotelian scholars than among those who focus on Stoic logic. Based on the papers that have appeared in the last five years at Web of Science and Scopus this hypothesis has not been confirmed. (shrink)

In 1934 a most singular event occurred. Two papers were published on a topic that had (apparently) never before been written about, the authors had never been in contact with one another, and they had (apparently) no common intellectual background that would otherwise account for their mutual interest in this topic.1 These two papers formed the basis for a movement in logic which is by now the most common way of teaching elementary logic by far, and indeed is (...) perhaps all that is known in any detail about logic by a number of philosophers (especially in North America). This manner of proceeding in logic is called ‘natural deduction’. And in its own way the instigation of this style of logical proof is as important to the history of logic as the discovery of resolution by Robinson in 1965, or the discovery of the logistical method by Frege in 1879, or even the discovery of the syllogistic by Aristotle in the fourth century BC. (shrink)

No detailed description available for "Studies on the History of Logic".

By using examples drawn from the periodical Nature, I show that research into the history of logic in the nineteenth century involves journals and periodicals which are normally not considered as standard sources for logic or its history.

Volume 9 of the Routledge History of Philosophy surveys ten key topics in the philosophy of science, logic and mathematics in the twentieth century. Each of the essays is written by one of the world's leading experts in that field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig Wittgenstein's Tractatus ; a survey of logical positivism; the philosophy of physics and of science; probability theory, cybernetics and an essay on (...) the mechanist/vitalist debates. The volume also contains a helpful chronology to the major scientific and philosophical events in the twentieth century. It also provides an extensive glossary of technical terms in the notes on major figures in these fields. (shrink)

The Deutsche Forschungsgemeinschaft (DFG)is supporting a research project entitled ?Case studies towards the establishment of a social history of logic? with a grant, initially for two years. The project is being carried out by a team of five members under the direction of Professor Christian Thiel in the Institut für Philosophie and the Interdisziplinäres Institut für Wissenschaftstheorie und Wissenschaftsgeschichte (IIWW) of the University of Erlangen-Nürnberg.

Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to Gödel, The Emergence of Classical Logic, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in (...) class='Hi'>Logic. Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central. In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world. Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly authoritative chapters, rich in detail and interpretative reach. The aim of the Editors is to have placed before the relevant intellectual communities a research tool of indispensable value. Together with the other volumes, Greek, Indian and Arabic Logic, will be essential reading for everyone with a curiosity about logic's long development, especially researchers, graduate and senior undergraduate students in logic in all its forms, argumentation theory, AI and computer science, cognitive psychology and neuroscience, linguistics, forensics, philosophy and the history of philosophy, and the history of ideas. (shrink)

This short note reviews briefly the history of logic in the last 100 years or so, discussing the rise of “classical” logic, and then of non-classical logic. The role of logic in contemporary departments of mathematics, computer science, and philosophy is then discussed. A few final words address the question of where logic might be going.

ABSTRACT: A comprehensive introduction to ancient (western) logic from earliest times to the 6th century CE, with a focus on issues that may be of interest to contemporary logicians and covering important topics in Post-Aristotelian logic that are frequently neglected (such as Peripatetic hypothetical syllogistic, the Stoic axiomatic system of propositional logic and various later ancient developments).

According to Kant, the division of the categories “is not the result of a search after pure concepts undertaken at haphazard,” but is derived from the “complete” classification of judgments developed by traditional logic. However, the sorts of judgments that he enumerates in his table of judgments are not all ones that traditional logic has dealt with; consequently, we must say that he chose the sorts of judgments in question with a certain intention. Besides, we know that his (...) choice of judgments and categories is strongly influenced by certain views of natural science that he fully accepts. For this reason, his argumentations are sometimes seriously inconsistent. As to Kant’s argumentations of categories, many problems have already been pointed out, but in this paper, I take up the categories of quantity and quality once more, and make clear his argumentations’ hidden logic and its distortion from the point of view of the history of logic and natural science. First, I confirm that there are non-negligible problems in his explanation to the effect that his derivation of the categories of quantity and quality is based on the quantity and quality of judgments. Next, I reconsider the meaning of his treating the categories of quantity and quality as pure concepts of the understanding. Finally, I conclude that by having recourse to the categories of quantity and quality Kant tried unjustly to apriorize the distinction between the “extensive magnitude” and “intensive magnitude” that has a long formational history since Aristotle. (shrink)

Convinced that logic has a history and that its history always manages to surprise the philosophers, Claude Imbert has devoted much of her work to the study of the Stoic school and of the late-nineteenth-century German logician Gottlob Frege. In the fifth chapter of her book Pour une histoire de la logique, she examines the trajectory of Frege's awareness of what his new logic entails, in particular the way it subverts the project of Kant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be (...) preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)