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Is medieval logic formal? And if yes, in what sense? There are striking affinities between medieval and contemporary theories of language. Authors from the two periods share formal ambitions and maintain complex, and at time uneasy, relations with natural language. However, modern scholars became careful not to overlook the specificities of theories developed more than five hundred years apart, in particular with respect to their 'formal' character. In 1972, Alfonso Maieru noted that the efforts of medieval logicians to identify logical structures in language formal enough to become objects of scientific consideration. He also stressed that the language investigated is a historical one, Latin, so that one can legitimately wonder to which extent ... one is allowed to speak of 'formal logic' in the middle ages. In other words, medieval logic is characterized by a tension between 'formalist ambitions' and constraints proper to natural language. Today, our knowledge of the field has considerably expanded, calling for a new assessment of the question.
Keckermann remarked of the sixteenth century, "never from the begin ning of the world was there a period so keen on logic, or in which more books on logic were produced and studies oflogic flourished more abun dantly than the period-in which we live. " 1 But despite the great profusion of books to which he refers, and despite the dominant position occupied by logic in the educational system of the fifteenth, sixteenth and seven teenth centuries, very little work has been done on the logic of the post medieval period. The only complete study is that of Risse, whose account, while historically exhaustive, pays little attention to the actual logical 2 doctrines discussed. Otherwise, one can tum to Vasoli for a study of humanism, to Munoz Delgado for scholastic logic in Spain, and to Gilbert and Randall for scientific method, but this still leaves vast areas untouched. In this book I cannot hope to remedy all the deficiencies of previous studies, for to survey the literature alone would take a life-time. As a result I have limited myself in various ways. In the first place, I con centrate only on those matters which are of particular interest to me, namely theories of meaning and reference, and formal logic.
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--
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.
No detailed description available for "Dialectic and Its Place in the Development of Medieval Logic".
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 (Avicenna).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.
The very first dedicated, comprehensive companion to medieval logic, covering both the Latin and Arabic sister traditions.
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.
Augustine inaugurated the project of constructing models of the Trinity in language drawn from Platonic and Aristotelian philosophy, especially the conceptual framework of Aristotle's Categories. He used the Aristotelian notions of substance and relation to set up a model whose aim was not so much to demystify the Trinity as to demonstrate the logical consistency of maintaining that there is one and only one God at the same time as maintaining that there are three distinct persons, each of whom is God. Standing against this tradition are various heretical accounts of the Trinity. The book also analyzes these traditions, using the same techniques. All these accounts of the Trinity are evaluated relative to the three constraints under which they were formed, bearing in mind that the constraints on philosophical theorizing are not limited to internal consistency but also take note of explanatory power.
The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.