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Author: Max Cresswell Publisher: Cambridge University Press ISBN: 1316760456 Category : Mathematics Languages : en Pages : 365
Book Description
Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.
Author: Max Cresswell Publisher: Cambridge University Press ISBN: 1316760456 Category : Mathematics Languages : en Pages : 365
Book Description
Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.
Author: Adriane Rini Publisher: Springer Science & Business Media ISBN: 9400700504 Category : Philosophy Languages : en Pages : 246
Book Description
Aristotle’s modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a ‘realm of darkness’. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle’s results. This volume provides a simple interpretation of Aristotle’s modal syllogistic using standard predicate logic. Rini distinguishes between red terms, such as ‘horse’, ‘plant’ or ‘man’, which name things in virtue of features those things must have, and green terms, such as ‘moving’, which name things in virtue of their non-necessary features. By applying this distinction to the Prior Analytics, Rini shows how traditional interpretive puzzles about the modal syllogistic melt away and the simple structure of Aristotle’s own proofs is revealed. The result is an applied logic which provides needed links between Aristotle’s views of science and logical demonstration. The volume is particularly valuable to researchers and students of the history of logic, Aristotle’s theory of modality, and the philosophy of logic in general.
Author: Richard Patterson Publisher: Cambridge University Press ISBN: 9780521522335 Category : Philosophy Languages : en Pages : 308
Book Description
This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.
Author: Yitzhak Y. Melamed Publisher: Oxford University Press ISBN: 0190089857 Category : Philosophy Languages : en Pages : 361
Book Description
"Ever since the beginnings of philosophical thought in Greek antiquity, philosophers have made use of modalities such as necessity and possibility. In particular, the concepts of necessity and 'what must be' played an important role in Pre-Socratic thought. For example, Anaximander maintained that things perish into that from which they came to be 'in accordance with what must be' (kata to chreôn). Heraclitus held that 'everything comes about in accordance with strife and what must be (kat' erin kai chreôn)'. In his poem, Parmenides asserts that what is (to eon) is entirely still and changeless because 'powerful Necessity (Anagkê) holds it in the bonds of a limit, which encloses it all around'. Among the atomists, Democritus identified necessity with a whirl of atoms, holding that 'everything comes about in accordance with necessity, inasmuch as the whirl - which he calls necessity - is the cause of the coming about of all things'. Finally, Plato in the Timaeus describes the creation of the cosmos as the result of the interplay between divine demiurgic Intelligence and natural Necessity. While necessity figures centrally in the cosmologies presented by Plato and the Pre-Socratics, we do not have any evidence that these thinkers provided an account of the nature of necessity in general. The first philosopher known to have provided such an account is Aristotle. In his logical and metaphysical works, Aristotle develops a systematic theory of necessity and related modalities such as possibility and impossibility"--
Author: Luca Castagnoli Publisher: Cambridge University Press ISBN: 1009302566 Category : Philosophy Languages : en Pages : 445
Book Description
This Companion provides a comprehensive guide to ancient logic. The first part charts its chronological development, focussing especially on the Greek tradition, and discusses its two main systems: Aristotle's logic of terms and the Stoic logic of propositions. The second part explores the key concepts at the heart of the ancient logical systems: truth, definition, terms, propositions, syllogisms, demonstrations, modality and fallacy. The systematic discussion of these concepts allows the reader to engage with some specific logical and exegetical issues and to appreciate their transformations across different philosophical traditions. The intersections between logic, mathematics and rhetoric are also explored. The third part of the volume discusses the reception and influence of ancient logic in the history of philosophy and its significance for philosophy in our own times. Comprehensive coverage, chapters by leading international scholars and a critical overview of the recent literature in the field will make this volume essential for students and scholars of ancient logic.
Author: Rachana Kamtekar Publisher: Oxford University Press ISBN: 0192885340 Category : Philosophy Languages : en Pages : 321
Book Description
Oxford Studies in Ancient Philosophy is a volume of original articles on all aspects of ancient philosophy. The articles may be of substantial length, and include critical notices of major books. OSAP is now published twice yearly, in both hardback and paperback. "'Have you seen the latest OSAP?' is what scholars of ancient philosophy say to each other when they meet in corridors or on coffee breaks. Whether you work on Plato or Aristotle, on Presocratics or sophists, on Stoics, Epicureans, or Sceptics, on Roman philosophers or Greek Neoplatonists, you are liable to find OSAP articles now dominant in the bibliography of much serious published work in your particular subject: not safe to miss." - Malcolm Schofield, Cambridge University "OSAP was founded to provide a place for long pieces on major issues in ancient philosophy. In the years since, it has fulfilled this role with great success, over and over again publishing groundbreaking papers on what seemed to be familiar topics and others surveying new ground to break. It represents brilliantly the vigour-and the increasingly broad scope-of scholarship in ancient philosophy, and shows us all how the subject should flourish." - M.M. McCabe, King's College London
Author: James Wilkinson Miller Publisher: Routledge ISBN: 1317375424 Category : Philosophy Languages : en Pages : 97
Book Description
Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.
Author: Edwin Mares Publisher: Cambridge University Press ISBN: 1009375318 Category : Mathematics Languages : en Pages : 281
Book Description
This book provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. Its fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.
Author: Max Cresswell
Author: Max Cresswell
Author: J. van Rijen
Author: J Van Rijen
Author: Adriane Rini
Author: Richard Patterson
Author: Yitzhak Y. Melamed
Author: Luca Castagnoli
Author: Rachana Kamtekar
Author: James Wilkinson Miller
Author: Edwin Mares