Logical Modalities from Aristotle to Carnap PDF Download

Author: Max Cresswell
Publisher: Cambridge University Press
ISBN: 1316760456
Category : Mathematics
Languages : en
Pages : 365

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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: Jaakko Hintikka
Publisher: Springer Science & Business Media
ISBN: 9401017115
Category : Philosophy
Languages : en
Pages : 225

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Book Description
The papers collected in this volume were written over a period of some eight or nine years, with some still earlier material incorporated in one of them. Publishing them under the same cover does not make a con tinuous book of them. The papers are thematically connected with each other, however, in a way which has led me to think that they can naturally be grouped together. In any list of philosophically important concepts, those falling within the range of application of modal logic will rank high in interest. They include necessity, possibility, obligation, permission, knowledge, belief, perception, memory, hoping, and striving, to mention just a few of the more obvious ones. When a satisfactory semantics (in the sense of Tarski and Carnap) was first developed for modal logic, a fascinating new set of methods and ideas was thus made available for philosophical studies. The pioneers of this model theory of modality include prominently Stig Kanger and Saul Kripke. Several others were working in the same area independently and more or less concurrently. Some of the older papers in this collection, especially 'Quantification and Modality' and 'Modes of Modality', serve to clarify some of the main possibilities in the semantics of modal logics in general.

Author: Yitzhak Y. Melamed
Publisher: Oxford University Press
ISBN: 0190089857
Category : Philosophy
Languages : en
Pages : 361

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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: Rudolf Carnap
Publisher: Routledge
ISBN: 1317830601
Category : Philosophy
Languages : en
Pages : 369

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Book Description
This is IV volume of eight in a series on Philosophy of the Mind and Language. For nearly a century mathematicians and logicians have been striving hard to make logic an exact science. But a book on logic must contain, in addition to the formulae, an expository context which, with the assistance of the words of ordinary language, explains the formulae and the relations between them; and this context often leaves much to be desired in the matter of clarity and exactitude. Originally published in 1937, the purpose of the present work is to give a systematic exposition of such a method, namely, of the method of " logical syntax".

Author: Luca Castagnoli
Publisher: Cambridge University Press
ISBN: 1009302566
Category : Philosophy
Languages : en
Pages : 445

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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

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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: Edwin Mares
Publisher: Cambridge University Press
ISBN: 1009375318
Category : Mathematics
Languages : en
Pages : 281

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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: Brian Ball
Publisher: Routledge
ISBN: 0429787618
Category : Philosophy
Languages : en
Pages : 249

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Book Description
This book presents 12 original essays on historical and contemporary philosophical discussions of judgment. The central issues explored in this volume can be separated into two groups namely, those concerning the act and object of judgment. What kind of act is judgment? How is it related to a range of other mental acts, states, and dispositions? Where and how does assertive force enter in? Is there a distinct category of negative judgments, or are these simply judgments whose objects are negative? Concerning the object of judgment: How many objects are there of a given judgment? One, as on the dual relation theory of Frege and Moore? Or many as in Russell’s later multiple relation theory? If there is a single object, is it a proposition? And if so, is it a force-neutral, abstract entity that might equally figure as the object of a range of intentional attitudes? Or is it somehow constitutively tied to the act itself? These and related questions are approached from a variety of historical and contemporary perspectives. This book sheds new light on current controversies by drawing on the details of the distinct intellectual contexts in which previous philosophers’ positions about the nature of judgment were formulated. In turn, new directions in present-day research promise to raise novel interpretive prospects and challenges in the history of philosophy.

Author: John Marenbon
Publisher: Oxford University Press
ISBN: 0190246979
Category : History
Languages : en
Pages : 768

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Book Description
This Handbook shows the links between medieval and contemporary philosophy. Topic-based essays on all areas of philosophy explore this relationship and introduce the main themes of medieval philosophy. They are preceded by the fullest chronological survey now available of the different traditions: Latin and Greek, Islamic and Jewish.

Author: Amanda Beech
Publisher: MIT Press
ISBN: 1913029662
Category : Philosophy
Languages : en
Pages : 274

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Book Description
Perspectives from philosophy, aesthetics, and art on how to envisage the construction site of possible worlds. Given the highly coercive and heavily surveilled dynamics of the present moment, when the tremendous pressures exerted by capital on contemporary life produces an aggressively normative “official reality,” the question of the construction of other possible worlds is crucial and perhaps more urgent than ever. This collection brings together different perspectives from the fields of philosophy, aesthetics, and art to discuss the mechanisms through which possible worlds are thought, constructed, and instantiated, forcefully seeking to overcome the contemporary moment's deficit of conceptualizing alternate realities—its apparent fear of imagining possible new and compelling futures—to begin the arduous task of producing the political dynamics necessary for actual construction. Implicit in this dynamic between the imaginary and the possible is the question of how thinking intertwines with both rationality and the inherited contingencies and structures of the world. With no ascertainable ground on which to build, with no confidence in any given that could guarantee our labors, how do we even envisage the construction site(s) of possible worlds, and with what kind of diagrams, tools, and languages can we bring them into being?