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

(Appeared in: J. Bernard-J. Kelemen: Zeichen, Denken, Praxis , Institut fur Sozio-Semiotische Studien: Vienna, 1990, pp. 249-267. To print the published version, click here.).

Central topics in medieval logic are here treated in a way that is congenial to the modern reader, without compromising historical reliability. The achievements of medieval logic are made available to a wider philosophical public then the medievalists themselves. The three genres of logica moderna arising in a later Middle Ages are covered: obligations, insolubles and consequences - the first time these have been treated in such a unified way. The articles on obligations look at the role of (...) logical consistence in medieval disputation techniques. Those on insolubles concentrate on medieval solutions to the Liar Paradox. There is also a systematic account of how medieval authors described the logical content of an inference, and how they thought that the validity of an inference could be guaranteed. (shrink)

Medieval logicians advanced far beyond the logic of Aristotle, and this book shows how far that advance took them in two central areas. Broadie focuses upon the work of some of the great figures of the fourteenth century, including Walter Burley, William Ockham, John Buridan, Albert of Saxony, and Paul of Venice, and deals with their theories of truth conditions and validity conditions. He reveals how much of what seems characteristically twentieth-century logic was familiar long ago. Broadie has extensively (...) revised his text for this second edition, while preserving the character of the first. There are now fuller accounts of supposition, of intentional contexts, and of medieval syllogistic, and the conclusion has been substantially expanded. (shrink)

I argue that the medieval form of dialectical disputation known as obligationes can be viewed as a logical game of consistency maintenance. The game has two participants, Opponent and Respondent. Opponent puts forward a proposition P; Respondent must concede, deny or doubt, on the basis of inferential relations between P and previously accepted or denied propositions, or, in case there is none, on the basis of the common set of beliefs. Respondent loses the game if he concedes a contradictory (...) set of propositions. Opponent loses the game if Respondent is able to maintain consistency during the stipulated period of time. The obligational rules are here formalised by means of familiar notational devices, and the application of some game-theoretical concepts, such as (winning) strategy, moves, motivation, allows for an analysis of some crucial properties of the game. In particular, the primacy of inferential (syntactic) relations over semantic aspects and the dynamic character of obligations are outlined. (shrink)

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections (...) in the preservation process, and hope you enjoy this valuable book. (shrink)

Medieval Modal Logic & Science uses modal reasoning in a new way to fortify the relationships between science, ethics, and politics. Robert C. Trundle accomplishes this by analyzing the role of modal logic in the work of St. Augustine and St. Thomas Aquinas, then applying these themes to contemporary issues. He incorporates Augustine's ideas involving thought and consciousness, and Aquinas's reasoning to a First Cause. The author also deals with Augustine's ties to Aristotelian modalities of thought regarding science and (...) logic, reassessing the commonly held belief in Augustine's Platonism to not be a mistake as much as a simplistic view of his philosophy. Trundle links contemporary issues in epistemology, morality, theology, and logic, making several useful connections between ancient and medieval studies in modal logic and modern concerns. These applications of modal theory illuminate many puzzles in the works of Heidegger, Wittgenstein, Whitehead, and Kuhn. (shrink)

This book presents novel formalizations of three of the most important medieval logical theories: supposition, consequence and obligations. In an additional fourth part, an in-depth analysis of the concept of formalization is presented - a crucial concept in the current logical panorama, which as such receives surprisingly little attention.Although formalizations of medieval logical theories have been proposed earlier in the literature, the formalizations presented here are all based on innovative vantage points: supposition theories as algorithmic hermeneutics, theories of (...) consequence analyzed with tools borrowed from model-theory and two-dimensional semantics, and obligations as logical games. For this reason, this is perhaps the first time that these medieval logical theories are made fully accessible to the modern philosopher and logician who wishes to obtain a better grasp of them, but who has always been held back by the lack of appropriate ‘translations' into modern terms.Moreover, the book offers a reflection on the very nature of logic, a reflection that is prompted by the comparisons between medieval and modern logic, their similarities and dissimilarities. It is thus a contribution not only to the history of logic, but also to the philosophy of logic, the philosophy of language and semantics.The analysis of medieval logic is also relevant for the modern philosopher and logician in that, being the unifying methodology used across all disciplines at that time, logic really provided unity to science. It thus presents a unified model of scientific investigation, where logic plays the aggregating role. (shrink)

This volume, the first dedicated and comprehensive companion to medieval logic, covers both the Latin and the Arabic traditions, and shows that they were in fact sister traditions, which both arose against the background of a Hellenistic heritage and which influenced one another over the centuries. A series of chapters by both established and younger scholars covers the whole period including early and late developments, and offers new insights into this extremely rich period in the history of logic. The (...) volume is divided into two parts, 'Periods and Traditions' and 'Themes', allowing readers to engage with the subject from both historical and more systematic perspectives. It will be a must-read for students and scholars of medieval philosophy, the history of logic, and the history of ideas. (shrink)

PART ONE ELEMENTS OF SCHOLASTIC LOGIC I THE LEGACY OF SCHOLASTIC LOGIC "\ T 7E MAY safely describe the initial scholastic contri- VV bution to logical ...

While for a long time the study of medieval logic focused on editorial projects and reconstructions of central medieval doctrines such as the theories of signification, supposition, consequences, and obligations, nowadays the spectrum of analysis has broadened and is increasingly informed by modern logical research, whose perspective is then applied to medieval logic. Promoting this tendency, logicians and researchers concerned with semantics in the Gesellschaft für Philosophie des Mittelalters und der Renaissance (GPMR) founded a working group bringing (...) together medieval logic and modern applied logic. The present volume is a seminal document of these interests and activities. It analyzes theories in medieval logic which are useful for solving questions of recent logic and explains crucial parts of medieval logic, philosophy, and theology by applying techniques of present-day logic. (shrink)

This chapter deals with medieval logic from the time when it first had full resources for systematic creative contributions onward. It focuses on the era when the ancient heritage was available and medieval logic was able to add something substantial to it, even to surpass it in some respects. The chapter explains that characterization such as this cannot be adequately expressed with years or by conventional period denominations; however, it is hoped that the grounds for drawing boundaries will (...) become clearer during the course of the story. (shrink)

Logic of John Buridan - Acts of the 3rd European Symposium on Medieval Logic & Semantics, Copenhagen 16-21 November 1975.

Introduction Since my work in medieval logic has concentrated on dialectic. I have tried to trace scholastic treatments of dialectic to discussions of it in ...

Terence Parsons presents a new study of the development and continuing value of medieval logic, which expanded Aristotle's basic principles of logic in important ways. Parsons argues that the resulting system is as rich as contemporary first-order symbolic logic.

Philosophy in the medieval Latin West before 1200 is often thought to have been dominated by Platonism. The articles in this volume question this view, by cataloguing, describing and investigating the tradition of Aristotelian logic during this period, examining its influence on authors usually placed within the Aristotelian tradition (Eriugena, Anselm, Gilbert of Poitiers), and also looking at some of the characteristics of early medieval Platonism. Abelard, the most brilliant logician of the age, is the main subject of (...) three articles, and the book concludes with two more general discussions about how and why medieval philosophy should be studied. (shrink)

What I want to talk about here is a puzzle for historians of philosophy who, like me, have spent a fair amount of time studying the history of mediaeval logic and semantic theory. I don’t know how to solve it, but in various forms it has come up repeatedly in my own work and in the work of colleagues I have talked with about it. I would like to share it with you now.

Though Arthur Prior is now best known for his founding of modern temporal logic and hybrid logic, much of his early philosophical career was devoted to history of logic and historical logic. This interest laid the foundations for both of his ground-breaking innovations in the 1950s and 1960s. Because of the important rôle played by Prior's research in ancient and medieval logic in his development of temporal and hybrid logic, any student of Prior, temporal logic, or hybrid logic should (...) be familiar with the medieval logicians and their work. In this article we give an overview of Prior's work in ancient and medieval logic. (shrink)

This book presents the very latest research on the medieval use of sophisms in logical and grammatical investigation by twenty-three of the leading experts in Europe and beyond. Important insights into the genre of sophismatic treatises have been gained only very recently, and the organisation of the European Symposium on this topic in 1990 led to a concentration of research and evaluation of insights. The papers are divided into three groups: one covers textual study and analysis of the role (...) of sophisms in the medieval curriculum; another deals with grammatical sophisms; and the third covers particular logical sophisms, from 'Man is the worthiest of creatures' and problems in the theory of reference to the Liar paradox and the work of William of Ockham. (shrink)

In the twelfth and thirteenth centuries, new ways of storytelling and inventing fictions appeared in the French-speaking areas of Europe. This new art still influences our global culture of fiction. Virginie Greene explores the relationship between fiction and the development of neo-Aristotelian logic during this period through a close examination of seminal literary and philosophical texts by major medieval authors, such as Anselm of Canterbury, Abélard, and Chrétien de Troyes. This study of Old French logical fictions encourages a broader (...) theoretical reflection about fiction as a universal human trait and a defining element of the history of Western philosophy and literature. Additional close readings of classical Greek philosophers Plato and Aristotle, and modern analytic philosophy including the work of Bertrand Russell and Rudolf Carnap, demonstrate peculiar traits of Western rationalism and expose its ambivalent relationship to fiction. (shrink)

HISTORICAL INTRODUCTION Although many of the details of the development of logic in the Middle Ages remain to be filled in, it is well known that between ...

Recent students of late medieval intellectual history have treated Oxford theologians' Sentences lectures from the 1320s to 1330s as revealing the interface of the theological, logical, and scientific thinking characteristic of a historically momentous ‘New English Theology’. Its conceptual achievement, historians generally concur, was the casting off of the speculative metaphysics of such thirteenth-century authors as Robert Grosseteste and Roger Bacon; its methodological novelty made it akin to twentieth-century analytic philosophy and seminal for the early Scientific Revolution. Yet the (...) metaphysically cast thirteenth-century sciences of perspectiva and astrologia persisted among scholars long into the early modern period. To show how this apparent paradox may be dissolved, this article details the intersection of thirteenth-century metaphysics and fourteenth-century analysis in the lectures of a controversial and influential proponent of the Oxford theology of the 1330s. (shrink)

While the formal treatment of arguments in the late medieval modi arguendi owes much to dialectic, this does not remove the substance and function of the argumentative modes discussed from the realm of rhetoric. These works, designed to teach law students skills in legal argumentation, remain importantly focused on persuasive features of argumentation which have traditionally been strongly associated with a rhetorical approach, particularly in efforts to differentiate from it dialectic as a more strictly scientific and logical form of (...) reasoning. This also sheds some light on the relative roles logic and rhetoric play in the legal discourse of our own time. In their approach to persuasive legal discourse, the modi arguendi stand between the argumentative rhetorics of Antiquity and the rhetoricized dialectics of the Renaissance, and by linking the minute technicalities of professionalized law with broad general considerations of justice, utility, nature, and emotion, they mediate between the modem trend towards atomized field-specific rhetorics and the classical idea of a unified civic rhetoric. (shrink)

This is the first of a three-volume anthology intended as a companion to The Cambridge History of Later Medieval Philosophy. Volume 1 is concerned with the logic and the philosophy of language, and comprises fifteen important texts on questions of meaning and inference that formed the basis of Medieval philosophy. As far as is practicable, complete works or topically complete segments of larger works have been selected. The editors have provided a full introduction to the volume and detailed (...) introductory headnotes to each text; the volume is also indexed comprehensively. (shrink)

We present how the theory of reasoning developed by Tadeusz Czeżowski, a Polish logician and a member of the Lvov-Warsaw School (LWS) can be applied to the mediaeval texts which interpret the Bible, which we collectively call as Biblical exegesis (BE). In the first part of the paper, we characterise Czeżowski's theory of reasoning with some modifications based on remarks of Kazimierz Ajdukiewicz. On these grounds, we discuss the nature of reasoning and its different types, as well as the problem (...) of textual representation of reasoning. In the second part, we describe the analytical nature of some BE at the end of twelfth century and in the thirteenth century by referring to the examples of Stephen Langton, Robert Grosseteste, Bonaventure, Albert the Great and Thomas Aquinas. We argue that they represented an analytical approach in BE, characterised by advanced use of logic and specific methods, including reasoning reconstruction and logical analysis. In the third part, we present selected examples to show how Czeżowski's framework helps in identifying various types of reasoning. We indicate some universal problems with the textual representation of reasoning found in the BE of the authors in question. Lastly, we point out how Czeżowski's framework enables the understanding of phenomena such as ‘Special Biblical Inference’. Thanks to this experiment, we can see how a framework as advanced as that offered by LWS representatives can be put to the test using mediaeval Biblical commentaries, yielding interesting results. (shrink)

The specialized essays in this collection study whether non-Aristotelian traditions of ancient logic had a role for medieval logicians. Special attention is given to Stoic logic and semantics, and to Neoplatonism.

BEFORE Frege’s Begriffsschrift, propositional logic was submerged in the often murky theory of the "hypothetical syllogism." With the exception of the Stoa, a handful of astute mediaeval logicians, Leibniz, and Bolzano, one might well obtain the impression from studying the history of logic that Frege created his theory ex nihilo—which is substantially true, since Frege was apparently little influenced by previous work. One might also obtain the impression, especially by reading Frege himself, that very little was being done on propositional (...) logic in the 19th century. This claim would be false. As one might expect from a philosopher who is sometimes grouped with Frege and De Morgan as one of the greatest nineteenth century logicians, Charles S. Peirce dealt extensively with propositional logic, or as he would have called it, with the theory of the hypothetical syllogism. (shrink)

Jerónimo Pardo's analysis of the problems raised by some popular trinitarian paralogisms is studied in this paper. The purpose is to show how the notions employed by the theologians in order to solve theological problems were introduced into a textbook on logic to deal with some genuinely logical problems. First, the problem, common to all logical approaches, of achieving a fine-grained analysis of the logical form of syllogistical inferences. Second, the problem, typical of the terminist approach to logic, of guaranteeing (...) that Latin is an adequate vehicle for logical analysis. (shrink)