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Books > Humanities > Philosophy > Topics in philosophy > Logic

Essays of Francis Bacon (Hardcover): Francis Bacon Essays of Francis Bacon (Hardcover)
Francis Bacon; Edited by 1stworld Library
R612 Discovery Miles 6 120 Ships in 10 - 15 working days

Purchase one of 1st World Library's Classic Books and help support our free internet library of downloadable eBooks. Visit us online at www.1stWorldLibrary.ORG - - SALOMON saies; A good Name is as a precious oyntment; And I assure my selfe, such wil your Graces Name bee, with Posteritie. For your Fortune, and Merit both, have been Eminent. And you have planted Things, that are like to last. I doe now publish my Essayes; which, of all my other workes, have beene most Currant: For that, as it seemes, they come home, to Mens Businesse, and Bosomes. I have enlarged them, both in Number, and Weight; So that they are indeed a New Worke. I thought it therefore agreeable, to my Affection, and Obligation to your Grace, to prefix your Name before them, both in English, and in Latine. For I doe conceive, that the Latine Volume of them, (being in the Universall Language) may last, as long as Bookes last. My Instauration, I dedicated to the King: My Historie of Henry the Seventh, (which I have now also translated into Latine) and my Portions of Naturall History, to the Prince: And these I dedicate to your Grace; Being of the best Fruits, that by the good Encrease, which God gives to my Pen and Labours, I could yeeld. God leade your Grace by the Hand. Your Graces most Obliged and faithfull Servant,

Fuzzy Sets, Logics and Reasoning about Knowledge (Hardcover, 2000 ed.): Didier Dubois, Henri Prade, Erich Peter Klement Fuzzy Sets, Logics and Reasoning about Knowledge (Hardcover, 2000 ed.)
Didier Dubois, Henri Prade, Erich Peter Klement
R4,246 Discovery Miles 42 460 Ships in 18 - 22 working days

Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning. It takes a state-of-the-art look at multiple-valued and fuzzy set-based logics, in an artificial intelligence perspective. The papers, all of which are written by leading contributors in their respective fields, are grouped into four sections. The first section presents a panorama of many-valued logics in connection with fuzzy sets. The second explores algebraic foundations, with an emphasis on MV algebras. The third is devoted to approximate reasoning methods and similarity-based reasoning. The fourth explores connections between fuzzy knowledge representation, especially possibilistic logic and prioritized knowledge bases. Readership: Scholars and graduate students in logic, algebra, knowledge representation, and formal aspects of artificial intelligence.

The Logic of Intentional Objects - A Meinongian Version of Classical Logic (Hardcover, 1998 ed.): Jacek Pasniczek The Logic of Intentional Objects - A Meinongian Version of Classical Logic (Hardcover, 1998 ed.)
Jacek Pasniczek
R2,764 Discovery Miles 27 640 Ships in 18 - 22 working days

Intentionality is one of the most frequently discussed topics in contemporary phenomenology and analytic philosophy. This book investigates intentionality from the point of view of intentional objects. According to the classical approach to this concept, whatever can be consciously experienced is regarded as an intentional object. Thus, not only ordinary existing individuals but also various kinds of non-existents and non-individuals are considered as intentional (including such bizarre entities as quantifier objects: `some dog', `every dog'). Alexius Meinong, an Austrian philosopher, is particularly well-known as the `inventor' of an abundant ontology of objects among which even incomplete and impossible ones, like `the round square', find their place. Drawing inspirations from Meinong's ideas, the author develops a simple logic of intentional objects, M-logic. M-logic closely resembles classical first-order logic and, as opposed to the formally complicated contemporary theories of non-existent objects, it is much more friendly in apprehending and applications. However, despite this resemblance, the ontological content of M-logic far exceeds that of classical logic. In this book formal investigations are intertwined with philosophical analyses. On the one hand, M-logic is used as a tool for investigating formal features of intentional objects. On the other hand, the study of intentionality phenomena suggests further ways of extending and modifying M-logic. Audience: The book is addressed to logicians, cognitive scientists, philosophers of language and metaphysics with either a phenomenological or an analytic background.

Definition (Hardcover): Richard Robinson Definition (Hardcover)
Richard Robinson
R2,903 Discovery Miles 29 030 Ships in 10 - 15 working days

The purpose of this book is to clarify the concept of definition and improve defining activities.

Medieval Formal Logic - Obligations, Insolubles and Consequences (Hardcover, 2001 ed.): Mikko Yrjoensuuri Medieval Formal Logic - Obligations, Insolubles and Consequences (Hardcover, 2001 ed.)
Mikko Yrjoensuuri
R2,786 Discovery Miles 27 860 Ships in 18 - 22 working days

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.

From Dedekind to Goedel - Essays on the Development of the Foundations of Mathematics (Hardcover, 1996 ed.): Jaakko Hintikka From Dedekind to Goedel - Essays on the Development of the Foundations of Mathematics (Hardcover, 1996 ed.)
Jaakko Hintikka
R5,403 Discovery Miles 54 030 Ships in 18 - 22 working days

Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to GAdel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and GAdel are not entirely neglected, either. Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.

Truth and Consequence in Medieval Logic. (Hardcover, New edition): Ernest Addison Moody Truth and Consequence in Medieval Logic. (Hardcover, New edition)
Ernest Addison Moody
R2,022 Discovery Miles 20 220 Ships in 18 - 22 working days
Goal-Directed Proof Theory (Hardcover, 2000 ed.): Dov M. Gabbay, N. Olivetti Goal-Directed Proof Theory (Hardcover, 2000 ed.)
Dov M. Gabbay, N. Olivetti
R2,801 Discovery Miles 28 010 Ships in 18 - 22 working days

Goal Directed Proof Theory presents a uniform and coherent methodology for automated deduction in non-classical logics, the relevance of which to computer science is now widely acknowledged. The methodology is based on goal-directed provability. It is a generalization of the logic programming style of deduction, and it is particularly favourable for proof search. The methodology is applied for the first time in a uniform way to a wide range of non-classical systems, covering intuitionistic, intermediate, modal and substructural logics. The book can also be used as an introduction to these logical systems form a procedural perspective. Readership: Computer scientists, mathematicians and philosophers, and anyone interested in the automation of reasoning based on non-classical logics. The book is suitable for self study, its only prerequisite being some elementary knowledge of logic and proof theory.

Collected Papers - Volume 3: 1945-1957 (Hardcover, 1st ed. 2019): Alfred Tarski Collected Papers - Volume 3: 1945-1957 (Hardcover, 1st ed. 2019)
Alfred Tarski
R4,881 Discovery Miles 48 810 Ships in 18 - 22 working days

Alfred Tarski was one of the two giants of the twentieth-century development of logic, along with Kurt Goedel. The four volumes of this collection contain all of Tarski's published papers and abstracts, as well as a comprehensive bibliography. Here will be found many of the works, spanning the period 1921 through 1979, which are the bedrock of contemporary areas of logic, whether in mathematics or philosophy. These areas include the theory of truth in formalized languages, decision methods and undecidable theories, foundations of geometry, set theory, and model theory, algebraic logic, and universal algebra.

The Death of Argument - Fallacies in Agent Based Reasoning (Hardcover, 2004 ed.): J.H. Woods The Death of Argument - Fallacies in Agent Based Reasoning (Hardcover, 2004 ed.)
J.H. Woods
R4,072 Discovery Miles 40 720 Ships in 18 - 22 working days

The present work is a fair record of work I've done on the fallacies and related matters in the fifteen years since 1986. The book may be seen as a sequel to Fallacies: Selected papers 1972-1982, which I wrote with Douglas Walton, and which appeared in 1989 with Foris. This time I am on my own. Douglas Walton has, long since, found his own voice, as the saying has it; and so have I. Both of us greatly value the time we spent performing duets, but we also recognize the attractions of solo work. If I had to characterize the difference that has manifested itself in our later work, I would venture that Walton has strayed more, and I less, from what has come to be called the Woods-Walton Approach to the study of fallacies. Perhaps, on reflection "stray" is not the word for it, inasmuch as Walton's deviation from and my fidelity to the WWA are serious matters of methodological principle. The WWA was always conceived of as a way of handling the analysis of various kinds of fallacious argument or reasoning. It was a response to a particular challenge [Hamblin, 1970]. The challenge was that since logicians had allowed the investigation of fallacious reasoning to fall into disgraceful disarray, it was up to them to put things right. Accordingly, the WWA sought these repairs amidst the rich pluralisms of logic in the 1970s and beyond.

Semantics and Beyond - Philosophical and Linguistic Inquiries (Hardcover, Digital original): Piotr Stalmaszczyk Semantics and Beyond - Philosophical and Linguistic Inquiries (Hardcover, Digital original)
Piotr Stalmaszczyk
R4,332 Discovery Miles 43 320 Ships in 10 - 15 working days

Papers in the collection concentrate on different issues relevant for contemporary research within semantics, such as the linguistic and philosophical status of representations, reference theory and indexicals, situation semantics, formal semantics, normativity of meaning and speech acts, and different approaches to context and contextualism. The authors investigate the links between semantics and syntax, and between semantics, pragmatics, and speech act theory, and demonstrate that it is possible to integrate findings from different disciplines. Recent studies often advocate a 'pragmatic turn' in the study of meaning and context; however, the papers in the volume show that semantics and meaning remain in the center of research carried out within contemporary linguistics and philosophy, especially the philosophy of language. The volume includes contributions by: Brian Ball (St Anne's College, Oxford), John Collins (University of East Anglia), Luis Fernandez Moreno (Complutense University of Madrid), Chris Fox (University of Essex), Filip Kawczynski (University of Warsaw), Katarzyna Kijania-Placek (Jagiellonian University), Joanna Klimczyk (Polish Academy of Sciences), Paul Livingston (University of New Mexico), Mark Pinder (University of Bristol), Ernesto Perini-Santos (Universidade Federal de Minas Gerais), Tabea Reiner (Ludwig-Maximilians-Universitat, Munich), Stefan Riegelnik (University of Zurich), Arthur Sullivan (Memorial University of Newfoundland), Massimiliano Vignolo (University of Genoa), and Marian Zouhar (Slovak Academy of Sciences). The volume should be of interest to linguists, philosophers of language, and philosophers in general.

Carnap's Logical Syntax of Language (Hardcover): P. Wagner Carnap's Logical Syntax of Language (Hardcover)
P. Wagner; Edited by Michael Beaney
R3,114 Discovery Miles 31 140 Ships in 18 - 22 working days

This volumes aim is to provide an introduction to Carnaps book from a historical and philosophical perspective, each chapter focusing on one specific issue. The book will be of interest not only to Carnap scholars but to all those interested in the history of analytical philosophy.

Transcendental Arguments - Problems and Prospects (Hardcover): Robert Stern Transcendental Arguments - Problems and Prospects (Hardcover)
Robert Stern
R3,936 Discovery Miles 39 360 Ships in 10 - 15 working days

Fourteen new essays by a distinguished team of authors offer a broad and stimulating re-examination of transcendental arguments. This is the philosophical method of arguing that what is doubted or denied by the opponent must be the case, as a condition for the possibility of experience, language, or thought. The line-up of contributors features leading figures in the field from both sides of the Atlantic; they discuss the nature of transcendental arguments, and consider their role and value. In particular, they consider how successful such arguments are as a response to sceptical problems. The editor's introduction provides historical context and philosophical orientation for the discussions. This is the first major appraisal of transcendental arguments since the 1970s; they have continued to play a significant role in philosophy, and recent developments in epistemology and metaphysics have raised new questions and challenges for them. Transcendental Arguments will be essential reading for anyone interested in this area of philosophy, and the starting-point for future work.

Logic from a Rhetorical Point of View (Hardcover, Reprint 2012): Witold Marciszewski Logic from a Rhetorical Point of View (Hardcover, Reprint 2012)
Witold Marciszewski
R4,526 Discovery Miles 45 260 Ships in 10 - 15 working days
The Enchiridion (Hardcover): Epictetus The Enchiridion (Hardcover)
Epictetus; Translated by Thomas Wentworth Higginson; Edited by Tony Darnell
R380 Discovery Miles 3 800 Ships in 18 - 22 working days
Model of Perception That the Qur'an and Science Is Harmony (Hardcover): Mzailani Model of Perception That the Qur'an and Science Is Harmony (Hardcover)
Mzailani
R679 Discovery Miles 6 790 Ships in 10 - 15 working days

The study is the linking of view of science with the Qur'an related to the development of science. Approach that links, this faith is one way to provide an appropriate understanding of the true religion with the development of contemporary science. During the times that are not sent Messengers and Prophets, Muslims who have an understanding of the Qur'an must play a role in the expanding missionary and apostle and prophet continued to work to continue the history of civilization. In this paper the finding of investigating people about view of people about the harmonize between the Quran and science is formulated through mathematics formula.

Logic, Language and Computation (Hardcover, 1997 ed.): S. Akama Logic, Language and Computation (Hardcover, 1997 ed.)
S. Akama
R2,792 Discovery Miles 27 920 Ships in 18 - 22 working days

The editors of the Applied Logic Series are happy to present to the reader the fifth volume in the series, a collection of papers on Logic, Language and Computation. One very striking feature of the application of logic to language and to computation is that it requires the combination, the integration and the use of many diverse systems and methodologies - all in the same single application. The papers in this volume will give the reader a glimpse into the problems of this active frontier of logic. The Editors CONTENTS Preface IX 1. S. AKAMA Recent Issues in Logic, Language and Computation 1 2. M. J. CRESSWELL Restricted Quantification 27 3. B. H. SLATER The Epsilon Calculus' Problematic 39 4. K. VON HEUSINGER Definite Descriptions and Choice Functions 61 5. N. ASHER Spatio-Temporal Structure in Text 93 6. Y. NAKAYAMA DRT and Many-Valued Logics 131 7. S. AKAMA On Constructive Modality 143 8. H. W ANSING Displaying as Temporalizing: Sequent Systems for Subintuitionistic Logics 159 9. L. FARINAS DEL CERRO AND V. LUGARDON 179 Quantification and Dependence Logics 10. R. SYLVAN Relevant Conditionals, and Relevant Application Thereof 191 Index 245 Preface This is a collection of papers by distinguished researchers on Logic, Lin guistics, Philosophy and Computer Science. The aim of this book is to address a broad picture of the recent research on related areas. In particular, the contributions focus on natural language semantics and non-classical logics from different viewpoints."

Essays in Logic and Ontology (Hardcover): Jacek Malinowski, Andrzej Pietruszczak Essays in Logic and Ontology (Hardcover)
Jacek Malinowski, Andrzej Pietruszczak
R3,459 Discovery Miles 34 590 Ships in 18 - 22 working days

The aim of this book is to present essays centered upon the subjects of Formal Ontology and Logical Philosophy. The idea of investigating philosophical problems by means of logical methods was intensively promoted in Torun by the Department of Logic of Nicolaus Copernicus University during last decade. Another aim of this book is to present to the philosophical and logical audience the activities of the Torunian Department of Logic during this decade. The papers in this volume contain the results concerning Logic and Logical Philosophy, obtained within the confines of the projects initiated by the Department of Logic and other research projects in which the Torunian Department of Logic took part.

The Logics of Preference - A Study of Prohairetic Logics in Twentieth Century Philosophy (Hardcover, 1987 ed.): N.J. Moutafakis The Logics of Preference - A Study of Prohairetic Logics in Twentieth Century Philosophy (Hardcover, 1987 ed.)
N.J. Moutafakis
R1,564 Discovery Miles 15 640 Ships in 18 - 22 working days

With characteristic incisiveness Georg Henrik von Wright identifies pro- haireticIogic (i. e. the logic of preference) as the core of a general theory of value concepts. Essentially, this nucleus involves the logical study of acts from the point of view of their preferability. 1 (italics added) Though the term prohairesis is found in Plato, as well as in Aristotle's treatment of the relations of preference, it is von Wright who introduces this word into contemporary analytical philoso- phy, and succinctly specifies the philosophical dimensions it encompasses. The above emphasis upon the philosophical study of the formalization of preferences is a matter of utmost importance for understanding the type of in- quiry this investigation attempts to initiate. Over the past one hundred years the literature on general theories of subjective utility has become massive, where one considers the work done in psychometrics, econometrics, statistical theories, probability theories, etc., etc. Histories in these areas are strong in tracing various evolutions in the development of the concept of preference in decision-making. However, what has not been investigated with sustained at- tention are the fundamentally philosophical inquiries into the formalization of preference-relations.

What is Negation? (Hardcover, 1999 ed.): Dov M. Gabbay, Heinrich Wansing What is Negation? (Hardcover, 1999 ed.)
Dov M. Gabbay, Heinrich Wansing
R5,331 Discovery Miles 53 310 Ships in 18 - 22 working days

The notion of negation is one of the central logical notions. It has been studied since antiquity and has been subjected to thorough investigations in the development of philosophical logic, linguistics, artificial intelligence and logic programming. The properties of negation-in combination with those of other logical operations and structural features of the deducibility relation-serve as gateways among logical systems. Therefore negation plays an important role in selecting logical systems for particular applications. At the moment negation is a 'hot topic', and there is an urgent need for a comprehensive account of this logical key concept. We therefore have asked leading scholars in various branches of logic to contribute to a volume on "What is Negation?." The result is the present neatly focused collection of re search papers bringing together different approaches toward a general characteri zation of kinds of negation and classifications thereof. The volume is structured into four interrelated thematic parts. Part I is centered around the themes of Models, Relevance and Impossibility. In Chapter 1 (Negation: Two Points of View), Arnon Avron develops two characteri zations of negation, one semantic the other proof-theoretic. Interestingly and maybe provokingly, under neither of these accounts intuitionistic negation emerges as a genuine negation. J. Michael Dunn in Chapter 2 (A Comparative Study of Various Model-theoretic Treatments of Negation: A History of Formal Negation) surveys a detailed correspondence-theoretic classifcation of various notions of negation in terms of properties of a binary relation interpreted as incompatibility."

Dissociation in Argumentative Discussions - A Pragma-Dialectical Perspective (Hardcover, 2009 ed.): Agnes Van Rees Dissociation in Argumentative Discussions - A Pragma-Dialectical Perspective (Hardcover, 2009 ed.)
Agnes Van Rees
R2,735 Discovery Miles 27 350 Ships in 18 - 22 working days

Dissociation is a pervasive argumentative technique that can be found in argumentative discussions from all realms of public and private life. Up till now, a comprehensive and systematic argumentation theoretical study of dissociation does not exist. This book aims to fill this gap. The treatment in this book, in several respects, is innovative. To begin with, so far, dissociation has been studied mainly from a monologual orientation. This book specifically focuses on dialogual aspects of the use of dissociation in argumentative discussions. In the second place, extant studies deal primarily with examples of dissociation from the philosophical and literary spheres or from the political arena. This book discusses a great variety of examples, many from every-day contexts, from such sources as newspapers, television shows, websites, Parliamentary Reports, and ordinary conversations. Last, but not least, the present book examines a broad range of features of dissociation. The first part of the book clarifies the notion of dissociation and provides insight into the way in which dissociation becomes manifest in argumentative discourse. The second part of the book, using the theoretical perspective of Pragma-Dialectics, answers the question how dissociation is used by the participants in argumentative discussions to realize their dialectical and rhetorical aims. The third and last part of the book discusses the strengths and weaknesses of the use of dissociation in argumentative discussions, both with regard to its dialectical soundness and to its persuasive effectiveness.

Ars Topica - The Classical Technique of Constructing Arguments from Aristotle to Cicero (English, Greek, Hardcover, 2009 ed.):... Ars Topica - The Classical Technique of Constructing Arguments from Aristotle to Cicero (English, Greek, Hardcover, 2009 ed.)
Sara Rubinelli; Introduction by David S. Levene
R2,746 Discovery Miles 27 460 Ships in 18 - 22 working days

Ars Topica is the first full-length study of the nature and development of topoi, the conceptual ancestors of modern argument schemes, between Aristotle and Cicero.

Aristotle and Cicero configured topoi in a way that influenced the subsequent tradition. Their work on the topos-system grew out of an interest in creating a theory of argumentation which could stand between the rigour of formal logic and the emotive potential of rhetoric. This system went through a series of developments and transformations resulting from the interplay between the separate aims of gaining rhetorical effectiveness and of maintaining dialectical standards.

Ars Topica presents a comprehensive treatment of Aristotle s and Cicero s methods of topoi and, by exploring their relationship, it illuminates an area of ancient rhetoric and logic which has been obscured for more than two thousand years.

Through an interpretation which is philologically rooted in the historical context of topoi, the book lays the ground for evaluating the relevance of the classical approaches to modern research on arguments, and at the same time provides an introduction to Greek and Roman theory of argumentation focussed on its most important theoretical achievements."

Formalizing Medieval Logical Theories - Suppositio, Consequentiae and Obligationes (Hardcover, 2007 ed.): Catarina Dutilh Novaes Formalizing Medieval Logical Theories - Suppositio, Consequentiae and Obligationes (Hardcover, 2007 ed.)
Catarina Dutilh Novaes
R4,183 Discovery Miles 41 830 Ships in 18 - 22 working days

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.

Logic and Philosophy of Mathematics in the Early Husserl (Hardcover, 2010 ed.): Stefania Centrone Logic and Philosophy of Mathematics in the Early Husserl (Hardcover, 2010 ed.)
Stefania Centrone
R2,786 Discovery Miles 27 860 Ships in 18 - 22 working days

Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl's early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl's logico-mathematical work.

The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schroder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl's Nachlass that have not yet been the object of systematical scrutiny.

This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic."

On Aristotle "Prior Analytics", v. 1, 14-22 (Hardcover): Of Aphrodisias Alexander On Aristotle "Prior Analytics", v. 1, 14-22 (Hardcover)
Of Aphrodisias Alexander; Volume editing by Ian Mueller
R3,995 Discovery Miles 39 950 Ships in 10 - 15 working days

The commentary of Alexander of Aphrodisias on Aristotle's Prior Analytics 1.8-22 is a very important text, being the main ancient commentary with chapters in which Aristotle invented modal logic - the logic of propositions about what is necessary or contingent (possible). The first volume of Ian Mueller's translation covered chapters 1.8-13, and reached as far as the chapter in which Aristotle discussed the notion of contingency. In this, the second volume, the 'greatest' commentator, Alexander, concludes his discussion of Aristotle's modal logic. Aristotle also invented the syllogism, a style of argument involving two premises and a conclusion. Modal propositions can be deployed in syllogisms, and in the chapters included in this volume Aristotle discusses all the syllogisms containing at least one contingent premiss. In each volume, Ian Mueller provides a comprehensive explanation of Alexander's commentary on modal logic as a whole.

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