Author: Terence Parsons Publisher: ISBN: 0199688842 Category : History Languages : en Pages : 346
Book Description
Studies the development and logical complexity of medieval logic, the expansion of Aristotle's notation by medieval logicians, and the development of additional logical principle--
Author: Andrew Williams Publisher: Createspace Independent Publishing Platform ISBN: 9781548317362 Category : Languages : en Pages : 338
Book Description
Andrew Williams presents a new study of the development and logical complexity of medieval logic. Basic principles of logic were used by Aristotle to prove conversion principles and reduce syllogisms. Medieval logicians expanded Aristotle's notation in several ways, such as quantifying predicate terms, as in 'No donkey is every animal', and allowing singular terms to appear in predicate position, as in 'Not every donkey is Brownie'; with the enlarged notation come additional logical principles. The resulting system of logic is able to deal with relational expressions, as in De Morgan's puzzles about heads of horses. A crucial issue is a mechanism for dealing with anaphoric pronouns, as in 'Every woman loves her mother'. Parsons illuminates the ways in which medieval logic is as rich as contemporary first-order symbolic logic, though its full potential was not envisaged at the time. Along the way, he provides a detailed exposition and examination of the theory of modes of common personal supposition, and the useful principles of logic included with it. An appendix discusses the artificial signs introduced in the fifteenth century to alter quantifier scope.
Author: Catarina Dutilh Novaes Publisher: Springer Science & Business Media ISBN: 1402058535 Category : Philosophy Languages : en Pages : 325
Book Description
This book presents formalizations of three important medieval logical theories: supposition, consequence and obligations. These are 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. The analysis of medieval logic is relevant for the modern philosopher and logician. This is the first book to render medieval logical theories accessible to the modern philosopher.
Author: D.P. Henry Publisher: Routledge ISBN: 0429594240 Category : History Languages : en Pages : 132
Book Description
Originally published in 1972, Medieval Logic and Metaphysics shows how formal logic can be used in the clarification of philosophical problems. An elementary exposition of Leśniewski’s Onotology, an important system of contemporary logic, is followed by studies of central philosophical themes such as Negation and Non-being, Essence and Existence, Meaning and Reference, Part and Whole. Philosophers and theologians discussed include St Anselm, St Thomas Aquinas, Abelard, Ockham, Scotus, Hume and Russell.
Author: Catarina Dutilh Novaes Publisher: Cambridge University Press ISBN: 1108107591 Category : Philosophy Languages : en Pages : 566
Book Description
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.
Author: Mikko Yrjönsuuri Publisher: Springer Science & Business Media ISBN: 9401597138 Category : Philosophy Languages : en Pages : 264
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.
Author: John Marenbon Publisher: BRILL ISBN: 9047422945 Category : History Languages : en Pages : 268
Book Description
Medieval logic is usually divided into the branches that derived from Aristotle's organon - the 'logica vetus' and 'logica nova', and those invented in the Middle Ages, the 'logica modernorum'. In this volume, a group of distinguished specialists asks whether the ancient roots of medieval logic were not in fact more varied. Stoic logic was mostly lost, but were some of its themes transmitted, even in distorted form, through Boethius and through the grammatical tradition? And did other schools, such as the sceptics and the Platonists, contribute in their own ways to medieval logic?
Author: Terence Parsons
Author: Andrew Williams
Author: Catarina Dutilh Novaes
Author: Philotheus Boehner
Author: D.P. Henry
Author: Catarina Dutilh Novaes
Author: Philotheus Boehner
Author: Mikko Yrjönsuuri
Author: Sara Lianna Uckelman
Author: John Marenbon