This paper offers an analysis of a hitherto neglected text on insoluble propositions dating from the late XiVth century and puts it into perspective within the context of the contemporary debate concerning semantic paradoxes. The author of the text is the italian logician Peter of Mantua (d. 1399/1400). The treatise is relevant both from a theoretical and from a historical standpoint. By appealing to a distinction between two senses in which propositions are said to be true, it offers (...) an unusual solution to the paradox, but in a traditional spirit that contrasts a number of trends prevailing in the XiVth century. It also counts as a remarkable piece of evidence for the reconstruction of the reception of English logic in italy, as it is inspired by the views of John Wyclif. Three approaches addressing the Liar paradox (Albert of Saxony, William Heytesbury and a version of strong restrictionism) are first criticised by Peter of Mantua, before he presents his own alternative solution. The latter seems to have a prima facie intuitive justification, but is in fact acceptable only on a very restricted understanding, since its generalisation is subject to the so-called revenge problem. (shrink)

The overarching aim of this excellent book is to demonstrate the common ground between medieval logic and logical theories of the twentieth century by analyzing some important medieval approaches to three important topics in medieval logic and then showing that in each case, once we determine what is really going on in the medieval theory, it can be formalized in such a way as to show how it resembles one or more developments in (...) twentieth-century logical theory. Analysis in terms of modern logical theory has a lot to offer the study of medieval logical theories, the author claims, and twentieth-century theory can learn some interesting lessons from examining its medieval counterparts. Much of the material in these specific discussions has been presented in earlier versions in the author's published articles. "The Philosophy of Formalization" , however, is new. English translations are used in the text, though the Latin is supplied in the footnotes. (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 (...) class='Hi'>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)

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)

One of the founding myths of analytic philosophy is that the predicate logic that was developed in the late 19th century was far more powerful than its predecessors. This ambitious book argues on the contrary that medieval philosophers developed "a system of logic that is similar to the predicate calculus in richness and power" – or that, as Parsons put it in his presidential address to the APA, "the core of medieval logic is as (...) accurate and as expressive as the core of contemporary logic.". (shrink)

The first book devoted to a systematic investigation of the logic of the high Middle Ages, this work demonstrates the magnitude of the achievement of medieval logicians. Broadie focuses on the work of some of the great figures of the 14th century, including Walter Burley, William Ockham, John Buridan, Albert of Saxony, and Paul of Venice, and analyzes their theories of truth conditions and valid conditions. Among the topics considered are the medieval exposition of the quantifier (...) shift fallacy, and the rules of valid inference devised to deal with arguments whose premises are not all present-tensed. Revealing how much of what seems characteristically 20th-century logic was actually familiar long ago, Broadie here demonstrates how medieval logic may yet contribute to the solution of 20th-century problems. (shrink)

An awareness of the wide scope of medieval logic and the role it played in university education at all levels, together with the way it was used in writings on both science and theology, is crucial for the historian of medieval thought. The growth of this awareness since the mid-twentieth century is shown by the ongoing expansion of editorial work, together with the discussion of the logic actually found in such prominent authors as Aquinas and (...) Scotus. It has gone hand in hand with the use of developments in modern logic. First came the realization that medieval logic extended beyond basic Aristotelian syllogistic, and could be related to modern developments in propositional and quantificational logic in... (shrink)

"The role of logic in the Middle Ages. Regarding the role of logic within the framework of arts and sciences during the Middle Ages, we have to distinguish two related aspects, one institutional and the other scientific. As to the first aspect, we have to remember that the medieval educational system was based on the seven liberal arts, which were divided into the trivium, i.e., three arts of language, and the quadrivium, i.e., four mathematical arts. The so-called (...) trivial arts were grammar, rhetoric, and logic, and during a period of several centuries virtually every educated person, at least every university graduate, received a training in these matters, especially in logic. Students in the medieval faculty of arts probably spent more time studying logic than any other discipline. This first -- institutional -- aspect concerning the role of logic is explained by the second -- scientific -- aspect. The trivial disciplines provided techniques of analysis and a technical vocabulary that permeate philosophical, scientific and theological writings. Logic, as mentioned before, was referred to and was generally regarded as the art of arts and the science of sciences. The increasing cultural dominance of the universities with their obligatory disputationes and their hierarchy of examinations on the one hand and the outstanding status of logic on the other were corresponding features of the educational world of the 13th century. The core of the logic curriculum from the 12th century onwards was provided by the logical works of Aristotle. These represented the material for the study of types of predication, the analysis of simple propositions or statements (2) and their relations of inference and equivalence, the analysis of modal propositions, of the structure and the types of the syllogism, dialectical topics, fallacies and scientific reasoning as based on the demonstrative syllogism. Medieval logicians, however, realized that there were other, non-Aristotelian, approaches to logical subjects, questions and methods that could be investigated.. (shrink)

This paper is about the development of logic in the Aristotelian tradition, from Aristotle to the mid-fourteenth century. I will compare four systems of logic with regard to their expressive power. 1. Aristotle’s own logic, based mostly on chapters 1-2 and 4-7 of his Prior Analytics 2. An expanded version of Aristotle’s logic that one finds, e.g., in Sherwood’s Introduction to Logic and Peter of Spain’s Tractatus 3-5. Versions of the logic of later (...) supposition theorists such as William Ockham, John Buridan, and Paul of Venice. Version 4 is the logic without relatives ; version 5 adds relatives. I am ignoring modals, conditionals that are not ut nunc, infinitizing negation, exclusives and exceptives, all exponibles, all insolubles, and terms with simple or material supposition, ampliation and restriction, and many other things. (shrink)

Reseñado por RAFAEL RAMIS BARCELÓUniversitat de les Illes Balears – IEHM, Palma, [email protected].

The humanist treatises presented here are only peripheral to the history of logic, but I think historians of logic may read them with interest, if perhaps with irritation. In the early sixteenth century the humanists set about to demolish medieval logic based on syllogistic and disputation, and to replace it in the university curriculum with a 'rhetorical' logic based on the use of topics and persuasion. To a very large extent they succeeded. Although Aris (...) totelian logic retained a vigorous life in the schools, it never again attained to the overwhelming primacy it had so long enjoyed in the northern universities. It has been the custom to take the arguments of the humanists at face value, and the word 'scholastic' has continued to have pejorative overtones. This is easy to understand, because until recently our knowledge of the high period of medieval logic has been slight, and the humanists' testimony as to its decadent state in the sixteenth century has, for the most part, been accepted uncritically. Within the past two decades important work on medieval logic has recovered the brilliant achievement of thirteenth and fourteenth century logicians, philosophers, and natural scientists. New studies are constantly appearing, and the logico-semantic system of the terminists has become fruitful territory not only for historians of logic but also for students of modern linguistics and semiotics. (shrink)

This thesis is on the history and philosophy of logic and semantics. Logic can be described as the ‘science of reasoning’, as it deals primarily with correct patterns of reasoning. However, logic as a discipline has undergone dramatic changes in the last two centuries: while for ancient and medieval philosophers it belonged essentially to the realm of language studies, it has currently become a sub-branch of mathematics. This thesis attempts to establish a dialogue between the modern (...) and the medieval traditions in logic, by means of ‘translations’ of the medieval logical theories into the modern framework of symbolic logic, i.e. formalizations. One of its conclusions is that, when properly understood within their own framework, the interest of medieval logical theories for modern investigations go beyond mere historical interest, but that a thorough conceptual analysis of such theories must be undertaken in order to avoid conceptual misprojections. While such translations of medieval into modern logic have been attempted before, the approach presented here is innovative in that attention is paid to the similarities as well as to the dissimilarities between the two traditions, and to what can be learned from the medieval masters for modern investigations in logic and semantics. (shrink)

This special issue contains three papers on evolutions in logic during the so-called ‘post-medieval’ period (roughly the years 1450–1700). The papers discuss the following topics: (1) traditions of logic in the British Isles during the sixteenth and seventeenth centuries; (2) approaches to validity in medieval and post-medieval logic; and (3) scholastic and humanist interpretations of the prologue to Galen’s Art of Medicine. All papers provide an original contribution to research on post-medieval logic, (...) which to date is still in the early stages. Together they testify to the great diversity of the discourse on logic during the period under consideration, something that has not been sufficiently appreciated in the scholarship. (shrink)

Medieval analyses of molecular propositions include many non-truthfunctional connectives in addition to the standard modern binary connectives (conjunction, disjunction, and conditional). Two types of non-truthfunctional molecular propositions considered by a number of 13th- and 14th-century authors are temporal and local propositions, which combine atomic propositions with `while' and `where'. Despite modern interest in the historical roots of temporal and tense logic, medieval analyses of `while' propositions are rarely discussed in modern literature, and analyses of `where' propositions (...) are almost completely overlooked. In this paper we introduce 13th- and 14th-century views on temporal and local propositions, and connect the medieval theories with modern temporal and spatial counterparts. (shrink)

According to the received view (Bocheński, Kneale), from the end of the fourteenth to the second half of nineteenth century, logic enters a period of decadence. If one looks at this period, the richness of the topics and the complexity of the discussions that characterized medieval logic seem to belong to a completely different world: a simplified theory of the syllogism is the only surviving relic of a glorious past. Even though this negative appraisal is grounded (...) on good reasons, it overlooks, however, a remarkable innovation that imposes itself at the beginning of the sixteenth century: the attempt to connect the two previously separated disciplines of logic and mathematics. This happens along two opposite directions: the one aiming to base mathematical proofs on traditional (Aristotelian) logic; the other attempting to reduce logic to a mathematical (algebraical) calculus. This second trend was reinforced by the claim, mainly propagated by Hobbes, that the activity of thinking was the same as that of performing an arithmetical calculus. Thus, in the period of what Bocheński characterizes as ‘classical logic’, one may find the seeds of a process which was completed by Boole and Frege and opened the door to the contemporary, mathematical form of logic. (shrink)

The book begins with a reconstruction of Aristotle's syllogistic as viewed by some of the well-known logicians of the thirteenth and fourteenth centuries, that is, as expanded to include singular p...

This book begins with standard ontological topics--such as the nature of existence--and of metaphysics generally, such as the status of universals, form, and accidents. What is the proper subject matter of metaphysical speculation? Are essence and existence really distinct in bodies? Does the body lose its unifying form at death? Can an accident of a substance exist in separation from that substance? Are universals real, and, if so, are they anything more than general concepts? Among the figures it examines are (...) Thomas Aquinas, John Duns Scotus, William of Ockham, Walter Chatton, John Buridan, Dietrich of Freiburg, Robert Holcot, Walter Burley, and the 11th-century Islamic philosopher Ibn-Sina. There is also an emphasis on metaphysics broadly conceived. Thus, additional discussions of connected topics in medieval logic, epistemology, and language provide a fuller account of the range of ideas included in the later medieval worldview. (shrink)

The framework of conceptual realism provides a logically ideal language within which to reconstruct the medieval terminist logic of the 14th century. The terminist notion of a concept, which shifted from Ockham's early view of a concept as an intentional object to his later view of a concept as a mental act , is reconstructed in this framework in terms of the idea of concepts as unsaturated cognitive structures. Intentional objects are not rejected but are reconstructed as (...) the objectified intensional contents of concepts. Their reconstruction as intensional objects is an essential part of the theory of predication of conceptual realism. It is by means of this theory that we are able to explain how the identity theory of the copula, which was basic to terminist logic, applies to categorical propositions. Reference in conceptual realism is not the same as supposition in terminist logic. Nevertheless, the various "modes" of personal supposition of terminist logic can be explained and justified in terms of this conceptualist theory of reference. (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)

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)

Paul Thom's book presents Kilwardby's science of logic as a body of demonstrative knowledge about inferences and their validity, about the semantics of non-modal and modal propositions, and about the logic of genus and species. This science is thoroughly intensional. It grounds the logic of inference on "that in virtue of which" the inference holds. It bases the truth conditions of propositions on relations between conceptual entities. It explains the logic of genus and species through the (...) notion of essence. Thom interprets this science as a formal logic of intensions with its own proof theory and semantics. This comprehensive reconstruction of Kilwardby's logic shows the medieval master to be one of the most interesting logicians of the thirteenth century. (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)

This paper considers the nature of the changes that took place in logic teaching at the University of Oxford from the beginning of the sixteenth century, when students attended university lectures on Aristotle’s texts as well as studying short works dealing with specifically medieval developments, to the beginning of the eighteenth century when teaching was centred in the colleges, the medieval developments had largely disappeared, and manuals summarizing Aristotelian logic were used. The paper also (...) considers the reasons for these changes, including changes in English society, and the effect of humanism and the more scholarly Aristotelianism that it produced. (shrink)

The aim of the article is to present the results of research conducted as part of the project Polonica Philosophica Orientalia: namely, to give an overview of the most important logical and metaphysical treatises written in Vilnius between the sixteenth and eighteenth centuries that are currently accessible in some of the Vilnius libraries. Although the research focused primarily on the Vilnius University Library and its resources, some interesting results were also obtained while researching the Wróblewski Library of the Lithuanian Academy (...) of Sciences. Most sources containing information about the state and the nature of metaphysical and logical investigations conducted in Vilnius during the period discussed are the manuscripts of lecture courses delivered for the students of Vilnius University and other schools. The analysis of those manuscripts has revealed a strong and long-lasting influence of scholastic Aristotelianism in both logic and metaphysics. Namely, up to the mid-eighteenth century, the main questions discussed in logic were Aristotelian syllogism, the square of opposition and the medieval topics of semantical antinomies, modalities and supposition theory, while investigations into metaphysical issues were limited to commentaries on Aristotle’s theoretical treatises without seriously questioning their main theses. In the second part of the eighteenth century, a moderate shift towards subjectivism and psychologism was observed in both of these disciplines. This was influenced by modern epistemologists. Logicians and metaphysicians of Vilnius University developed an interest in the topics of human understanding and cognition. However, this shift did not take a radical form – while the majority of eighteenth-century authors sought a combination of scholastic and modern ideas, a critical and even hostile stance towards modern philosophy and science is still noticeable in many of the analysed sources. An overview of the research supported by statistical data is followed by some preliminary remarks on how and where investigation of this topic might be continued in the future. (shrink)

This paper is dedicated to the first universities and mendicant schools, where thousands of students began to converge during the thirteenth century. Logic played an unpreceded role in basic and higher education. A “Parisian logical model” of education was shaped at the University of Paris, adopted by mendicant Orders in their schools of logic, diffused in all disciplines, and progressively spread in Southern Europe. Medieval education became heavily based upon logical, and even “logician” practices, with the (...) “syllogization” of exegetical, disputational, and evaluation practices.The notion of logical skill conveniently captures this unique situation for the discipline of logic, as well as the way medieval thinkers conceived of logic as a universal, transdisciplinary method, a natural operation of the mind, a modality of knowledge, the very form of teaching and graduating, a “habitus,” a technique and a science.The divisions of Aristotelian logic, the “artificial logic,” were for the first time naturalized and projected on the very structure of human mind, which was thereby “logicalized” and ascribed a “natural logic.” A strong anthropological dimension was bestowed on logic. The discipline of logic was deemed a necessary instrument in the philosophical “perfection” and the Christian “reparation” of man as an intellectual creature by a group of logically skilled, professional philosophers and theologians, whereas men deprived of logical education were described as “logically disabled,” and stuck into inferior forms of humanity.The world of medieval intellectual elites displayed a variety of social uses of logic, beyond academic circles, especially in the performance of pastoral duties. The possible historical records of the social usefulness of logic are explored: for students, the majority in medieval universities, who left university without a degree, but with a solid logical education, for ordinary mendicant friars, dedicated to preaching and confession, who frequented logical schools, and for members of the parish clergy sent to the faculties of arts. (shrink)

Among the various testimonia assembled by Iwakuma and Ebbesen to the twelfth-century school of philosophers known as the Nominales,Iwakuma Yukio and Sten Ebbesen, “Logico -Theological Schools from the Secon d Half of the 12th Century: A List of Sources,” Vivarium XXX (1992):173–210. four record their commitment to the apparently outrageous thesis that nothing grows. My aim in this essay is to explore the reasons the Nominale s had for maintaining this thesis and to investigate the role that the (...) theory which supported it played in the development of late twelfth- and early thirteenth-century debates over the character of the hypostatic union. My investigation concerns onl y one aspect of twelfth-century NominalismSince this group were apparently the first ever to be called ‘nominalists’ I think that we may justifiably capitalize the name of the theory to indicate that we are referring to their version of it. but once this part of their system is understood, we will be better able to characterise the whole and the way in which the views of the Nominales conflicted with those of their opponents. S o long as the testimonia remain few and rather slight such a reconstruction offers our only hope for finding the Nominales and their influence where their name has not been recorded. (shrink)

In this work, the papers are presented which, on the basis of L.M. de Rijk's monumental 'Logica modernorum' (1962-1967), sketch the development of medieval theories on meaning and reference from the beginnings well into the 17th century. The book also presents studies of these theories from a modern point of view.

British logic teaching in the sixteenth and seventeenth centuries was provided in England by Oxford and Cambridge, both medieval foundations, and in Scotland by the universities of St Andrews and A...

This study of the interpretations of Aristotle's "Categories" in the thirteenth century provides an introduction to some main themes of medieval philosophical ...

Among the various testimonia assembled by Iwakuma and Ebbesen to the twelfth-century school of philosophers known as the Nominales,Iwakuma Yukio and Sten Ebbesen, “Logico -Theological Schools from the Secon d Half of the 12th Century: A List of Sources,” Vivarium XXX (1992):173–210. four record their commitment to the apparently outrageous thesis that nothing grows. My aim in this essay is to explore the reasons the Nominale s had for maintaining this thesis and to investigate the role that the (...) theory which supported it played in the development of late twelfth- and early thirteenth-century debates over the character of the hypostatic union. My investigation concerns onl y one aspect of twelfth-century NominalismSince this group were apparently the first ever to be called ‘nominalists’ I think that we may justifiably capitalize the name of the theory to indicate that we are referring to their version of it. but once this part of their system is understood, we will be better able to characterise the whole and the way in which the views of the Nominales conflicted with those of their opponents. S o long as the testimonia remain few and rather slight such a reconstruction offers our only hope for finding the Nominales and their influence where their name has not been recorded. (shrink)

The ArgumentIt is well known that theTractatusof Peter of Spain (later Pope John XXI) was one of the most popular logic textbooks in the Middle Ages and early Renaissance. Less known is theTractatus'sconsiderable reputation and diffusion among the Jews, as evidenced by five translations, two commentaries, and what appears to be anabbreviatio— if not of theTractatusitself, then of a similar work. The present article attempts to understand the phenomenon of theTractatus'spopularity and offers an analysis of the three translations whose (...) authors are known — those by Shemaryah ha-Ikriti (Greece, early to mid-fourteenth century), Abraham Abigdor (late fourteenth century), and Judah b. Samuel Shalom (either Italy or Spain, mid-fifteenth century) — and their subsequent fate. The more popular versions of Abraham Abidgor and Judah Shalom provided Jewish students, many of whom would likely become physicians, with a grounding in logic comparable to that of their Christian counterparts. (shrink)

Epistemic logic is one of the most exciting areas in medieval philosophy. Neglected almost entirely after the end of the Middle Ages, it has been rediscovered by philosophers of the twentieth century. Epistemic Logic in the Later Middle Ages provides the first comprehensive study of the subject. Ivan Boh explores the contrast between epistemic and alethic conceptions of consequence, the general epistemic rules of consequence, the search for conditions of knowing contingent propositions, the problems of substitutivity (...) in intentional contexts, the considerations of epistemic/doxastic iterated modalities, and the problems of composite and divided senses in authors ranging from Abelard to Frachantian. Boh concludes with a comparison between medieval endeavors and the epistemic logic of our own times. Written in a clear and readable style with minimal symbolic apparatus, this book employs modern symbolism and conceptual frameworks, and complements the studies of the syntacticand semantic dimensions of medieval logic. (shrink)

This paper introduces the reader to the medieval Hebrew tradition of logic by considering its treatment of Aristotelian syllogistic. Starting in the thirteenth century European Jews translated Arabic and Latin texts into Hebrew and produced commentaries and original compendia.Because they stood culturally and geographically at the cross-roads of two great traditions they were influenced by both.This is clearly seen in the development of syllogistic theory, where the Latin tradition ultimately replaces, though never entirely, its Arabic counterpart.Specific attention (...) is devoted to the debate about the so-called Galenian fourth figure.In medieval Hebrew logic one finds both defenders and detractors of the figure, the former appearing towards the beginning of the period in question.With the ascendancy of scholastic logic the fourth figure virtually disappears from Hebrew texts. (shrink)

Peter Adamson presents a lively introduction to six hundred years of European philosophy, from the beginning of the ninth century to the end of the fourteenth century. The medieval period is one of the richest in the history of philosophy, yet one of the least widely known. Adamson introduces us to some of the greatest thinkers of the Western intellectual tradition, including Peter Abelard, Anselm of Canterbury, Thomas Aquinas, John Duns Scotus, William of Ockham, and Roger Bacon. (...) And the medieval period was notable for the emergence of great women thinkers, including Hildegard of Bingen, Marguerite Porete, and Julian of Norwich. Original ideas and arguments were developed in every branch of philosophy during this period - not just philosophy of religion and theology, but metaphysics, philosophy of logic and language, moral and political theory, psychology, and the foundations of mathematics and natural science. (shrink)

Many fourteenth-century logicians took affirmative propositions to maintain that the subject term and the predicate term stand or supposit for the same. This is called the identity theory of predication by historians and praedicatio identica by Paul of Venice and others. The identity theory of predication was an important part of early fourteenth-century Trinitarian discussions as well, but what was called praedicatio identica by Duns Scotus and his followers in this context was something different. After some remarks on (...) Scotus’s view and its background, I shall analyse Adam Wodeham’s explanation of Scotus’s praedicatio identica and how he understood the assumptions pertaining to supposition in the Scotist approach. I also describe Wodeham’s own solution to Trinitarian sophisms, which did not deviate from the identity theory of predication. (shrink)

Collection of articles on medieval logic and semantics. Introduction by Sten Ebbesen and 24 contributions by scholars in the history of medieval theories of language. The papers in this volume treat several aspects of the history of theories of language from the 12th to the 14th century, aspects that have in a way or another been dealt with by Ebbesen himself.Festschrift in honor of Sten Ebessen in the occasion of his 65th birthday.

The recovery of Aristotle’s logic during the twelfth century was a great stimulus to medieval thinkers. Among their own theories developed to explain Aristotle’s theories of valid and invalid reasoning was a theory of consequence, of what arguments were valid, and why. By the fourteenth century, two main lines of thought had developed, one at Oxford, the other at Paris. Both schools distinguished formal from material consequence, but in very different ways. In Buridan and his followers (...) in Paris, formal consequence was that preserved under uniform substitution. In Oxford, in contrast, formal consequence included analytic consequences such as ‘If it’s a man, then it’s an animal’. Aristotle’s notion of syllogistic consequence was subsumed under the treatment of formal consequence. Buridan developed a general theory embracing the assertoric syllogism, the modal syllogism and syllogisms with oblique terms. The result was a thoroughly systematic and extensive treatment of logical theory and logical consequence which repays investigation. (shrink)

This book presents an exhaustive study of the three 13-century discussions explicitly dealing with the notion of Significatio. The study aims to show that the three discussions emerge because of apparently opposite claims about the signification of words in the authoritative literature of the period. It also shows that the three discussions develop in the same direction - towards a unified use of the notion of signification, which keeps its explanatory role in semiotics, but loses its role in grammar (...) and logic. (shrink)