Mediaeval And Renaissance Logic

Mediaeval and Renaissance Logic PDF Book Detail:
Author: Dov M. Gabbay
Publisher: Elsevier
ISBN: 9780080560854
Size: 51.21 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 728
View: 4091

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Book Description: Starting at the very beginning with Aristotle's founding contributions, logic has been graced by several periods in which the subject has flourished, attaining standards of rigour and conceptual sophistication underpinning a large and deserved reputation as a leading expression of human intellectual effort. It is widely recognized that the period from the mid-19th century until the three-quarter mark of the century just past marked one of these golden ages, a period of explosive creativity and transforming insights. It has been said that ignorance of our history is a kind of amnesia, concerning which it is wise to note that amnesia is an illness. It would be a matter for regret, if we lost contact with another of logic's golden ages, one that greatly exceeds in reach that enjoyed by mathematical symbolic logic. This is the period between the 11th and 16th centuries, loosely conceived of as the Middle Ages. The logic of this period does not have the expressive virtues afforded by the symbolic resources of uninterpreted calculi, but mediaeval logic rivals in range, originality and intellectual robustness a good deal of the modern record. The range of logic in this period is striking, extending from investigation of quantifiers and logic consequence to inquiries into logical truth; from theories of reference to accounts of identity; from work on the modalities to the stirrings of the logic of relations, from theories of meaning to analyses of the paradoxes, and more. While the scope of mediaeval logic is impressive, of greater importance is that nearly all of it can be read by the modern logician with at least some prospect of profit. The last thing that mediaeval logic is, is a museum piece. Mediaeval and Renaissance Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science and AI, linguistics, cognitive science, argumentation theory, philosophy, and the history of ideas. - Provides detailed and comprehensive chapters covering the entire range of modal logic - Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic

Medieval And Renaissance Logic In Spain

Medieval and Renaissance Logic in Spain PDF Book Detail:
Author: Ignacio Angelelli
Publisher: Georg Olms Verlag
ISBN: 9783487111353
Size: 37.74 MB
Format: PDF, ePub, Mobi
Category : Logic
Languages : en
Pages : 479
View: 6792

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Book Description:

Medieval Formal Logic

Medieval Formal Logic PDF Book Detail:
Author: Mikko Yrjonsuuri
Publisher: Springer Science & Business Media
ISBN: 9780792366744
Size: 34.98 MB
Format: PDF, ePub, Docs
Category : Philosophy
Languages : en
Pages : 237
View: 388

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Book Description: 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.

Analogy After Aquinas

Analogy after Aquinas PDF Book Detail:
Author: Domenic D'Ettore
Publisher: Catholic University of America Press
ISBN: 0813231221
Size: 23.42 MB
Format: PDF, ePub
Category : Philosophy
Languages : en
Pages : 224
View: 5567

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Book Description: Since the first decade of the 14th Century, Thomas Aquinas’s disciples have struggled to explain and defend his doctrine of analogy. Analogy after Aquinas: Logical Problems, Thomistic Answers relates a history of prominent Medieval and Renaissance Thomists’ efforts to solve three distinct but interrelated problems arising from their reading both of Aquinas’s own texts on analogy, and from John Duns Scotus’s arguments against analogy and in favor of univocity in Metaphysics and Natural Theology. The first of these three problems concerns Aquinas’s at least apparently disparate statements on whether a name is said by analogy through a single concept or through diverse concepts. The second problem concerns the model of analogy suited for predicating names analogously across the categories of being or about God and creatures. Is “being” said analogously about God and creatures, or substance and accidents, on the model of how “healthy” is said of medicine and an animal, or on the model of how “principle” is said of a point and a line? The third problem comes from outside challenges to Aquinas’s thought, in particular Scotus’ claims that univocal names alone can mediate valid demonstrations, and any demonstration that failed to use its mediating terms univocally would fail by the fallacy of equivocation. Analogy after Aquinas makes a unique contribution to the study of philosophical theology in the tradition of Thomas Aquinas by showing the historical and philosophical connection between these three problems, as well as the variety of solutions proposed by leading representatives of this tradition. Thomists considered in the book include: Hervaeus Natalis (1250-1323), Thomas Sutton (1250-1315), John Capreolus (1380-1444), Dominic of Flanders (1425-1479), Paul Soncinas (d. 1494), Thomas dio vio Cajetan (1469-1534), Francis Silvestri of Ferrara (1474-1528), and Chrysostom Javelli (1470-1538).

Diagramming Devotion

Diagramming Devotion PDF Book Detail:
Author: Jeffrey F Hamburger
Publisher: Louise Smith Bross Lecture
ISBN: 022664281X
Size: 12.52 MB
Format: PDF, Docs
Category : Art and literature
Languages : en
Pages : 384
View: 7115

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Book Description: During the European Middle Ages, diagrams provided a critical tool of analysis in cosmological and theological debates. In addition to drawing relationships among diverse areas of human knowledge and experience, diagrams themselves generated such knowledge in the first place. In Diagramming Devotion, Jeffrey F. Hamburger examines two monumental works that are diagrammatic to their core: a famous set of picture poems of unrivaled complexity by the Carolingian monk Hrabanus Maurus, devoted to the praise of the cross, and a virtually unknown commentary on Hrabanus's work composed almost five hundred years later by the Dominican friar Berthold of Nuremberg. Berthold's profusely illustrated elaboration of Hrabnus translated his predecessor's poems into a series of almost one hundred diagrams. By examining Berthold of Nuremberg's transformation of a Carolingian classic, Hamburger brings modern and medieval visual culture into dialogue, traces important changes in medieval visual culture, and introduces new ways of thinking about diagrams as an enduring visual and conceptual model.

Medievalia Et Humanistica

Medievalia Et Humanistica PDF Book Detail:
Author: Reinhold F. Glei
Publisher: Rowman & Littlefield
ISBN: 144222052X
Size: 18.41 MB
Format: PDF
Category : Literary Criticism
Languages : en
Pages : 158
View: 7404

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Book Description: Since its founding in 1943, Medievalia et Humanistica has won worldwide recognition as the first scholarly publication in America to devote itself entirely to medieval and Renaissance studies. Volume 38 showcases a broad range of medieval scholarship, including five original articles, one review article, and seven review notices.