The Aftermath of Syllogism

The Aftermath of Syllogism

Author: Marco Sgarbi

Publisher: Bloomsbury Publishing

Published: 2018-01-25

Total Pages: 233

ISBN-13: 1350043532

DOWNLOAD EBOOK

Syllogism is a form of logical argument allowing one to deduce a consistent conclusion based on a pair of premises having a common term. Although Aristotle was the first to conceive and develop this way of reasoning, he left open a lot of conceptual space for further modifications, improvements and systematizations with regards to his original syllogistic theory. From its creation until modern times, syllogism has remained a powerful and compelling device of deduction and argument, used by a variety of figures and assuming a variety of forms throughout history. The Aftermath of Syllogism investigates the key developments in the history of this peculiar pattern of inference, from Avicenna to Hegel. Taking as its focus the longue durée of development between the Middle Ages and the nineteenth century, this book looks at the huge reworking scientific syllogism underwent over the centuries, as some of the finest philosophical minds brought it to an unprecedented height of logical sharpness and sophistication. Bringing together a group of major international experts in the Aristotelian tradition, The Aftermath of Syllogism provides a detailed, up to date and critical evaluation of the history of syllogistic deduction.


Aristotle's Syllogism and the Creation of Modern Logic

Aristotle's Syllogism and the Creation of Modern Logic

Author: Lukas M. Verburgt

Publisher: Bloomsbury Publishing

Published: 2023-01-26

Total Pages: 321

ISBN-13: 1350228850

DOWNLOAD EBOOK

Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.


Relational Syllogisms and the History of Arabic Logic, 900-1900

Relational Syllogisms and the History of Arabic Logic, 900-1900

Author: Khaled El-Rouayheb

Publisher: BRILL

Published: 2010-06-14

Total Pages: 304

ISBN-13: 9004190996

DOWNLOAD EBOOK

Relational inferences are a well-known problem for Aristotelian logic. This book charts the development of thinking about this anomaly, from the beginnings of the Arabic logical tradition in the tenth century to the end of the nineteenth. Based in large part on hitherto unstudied manuscripts and rare books, the study shows that the problem of relational inferences was vigorously debated in the thirteenth, fourteenth and fifteenth centuries. In the course of the seventeenth and eighteenth centuries, Ottoman logicians (writing in Arabic) came to recognize relational inferences as a distinct kind of 'unfamiliar syllogism' and began to investigate their logic. These findings show that the development of Arabic logic did not - as is often supposed - come to an end in the fourteenth century. On the contrary, Arabic logic was still being developed by critical and fecund reflections as late as the eighteenth and nineteenth centuries.


Logic of Imagination

Logic of Imagination

Author: John Sallis

Publisher: Indiana University Press

Published: 2012-07-20

Total Pages: 311

ISBN-13: 025301364X

DOWNLOAD EBOOK

The Shakespearean image of a tempest and its aftermath forms the beginning as well as a major guiding thread of Logic of Imagination. Moving beyond the horizons of his earlier work, Force of Imagination, John Sallis sets out to unsettle the traditional conception of logic, to mark its limits, and, beyond these limits, to launch another, exorbitant logic—a logic of imagination. Drawing on a vast range of sources, including Plato, Aristotle, Kant, Hegel, Nietzsche, and Freud, as well as developments in modern logic and modern mathematics, Sallis shows how a logic of imagination can disclose the most elemental dimensions of nature and of human existence and how, through dialogue with contemporary astrophysics, it can reopen the project of a philosophical cosmology.


Virtue Ethics and Contemporary Aristotelianism

Virtue Ethics and Contemporary Aristotelianism

Author: Andrius Bielskis

Publisher: Bloomsbury Publishing

Published: 2020-05-28

Total Pages: 303

ISBN-13: 135012219X

DOWNLOAD EBOOK

This compelling and distinctive volume advances Aristotelianism by bringing its traditional virtue ethics to bear upon characteristically modern issues, such as the politics of economic power and egalitarian dispute. This volume bridges the gap between Aristotle's philosophy and the multitude of contemporary Aristotelian theories that have been formulated in the twentieth and twenty-first centuries. Part I draws on Aristotle's texts and Thomas Aquinas' Aristotelianism to examine the Aristotelian tradition of virtues, with a chapter by Alasdair MacIntyre contextualising the different readings of Aristotle's philosophy. Part II offers a critical engagement with MacIntyrean Aristotelianism, while Part III demonstrates the ongoing influence of Aristotelianism in contemporary theoretical debates on governance and politics. Extensive in its historical scope, this is a valuable collection relating the tradition of virtue to modernity, which will be of interest to all working in virtue ethics and contemporary Aristotelian politics.