The Formalization Of Dialectics

This book explores the relationship between Hegel’s dialectics and formal logic. It examines the concept of dialectics, its meaning, and its use in contemporary thought. The volume opens the “old” debate about the formalization of Hegel’s dialectics and is motivated by the idea that asking about the connection between Hegel’s dialectics and formal logic is still relevant, for various reasons: Firstly, a new Hegel is circulating nowadays in the philosophical literature, with specific reference to Hegel’s dialectical logic and its relation to the history and philosophy of logic. Secondly, new research about the connection between contradictory logical systems and Hegel's dialectics is also being developed. Finally, there have been recent confirmations that the concept of dialectics is of general interest, and that the usual perplexities about the Hegelian triadic and fairly mechanic device of ‘yes, not, and not not’ are in remission. The chapters feature philosophically and historically motivated presentations of formal features of Hegel’s dialectics, critical considerations about the very idea of ‘formalizing dialectics’ and presentations of past attempts to formalize Hegel’s dialectics. The Formalization of Dialectics will be a key resource for scholars and researchers of the history and philosophy of logic and Hegel’s dialectics. It will also be of interest to anyone who wants to know more about the concept of dialectics, its meaning and its use in contemporary thought. This book was originally published as a special issue of History and Philosophy of Logic.

This book explores the relationship between Hegel’s dialectics and formal logic. It examines the concept of dialectics, its meaning, and its use in contemporary thought. The volume opens the “old” debate about the formalization of Hegel’s dialectics and is motivated by the idea that asking about the connection between Hegel’s dialectics and formal logic is still relevant, for various reasons: Firstly, a new Hegel is circulating nowadays in the philosophical literature, with specific reference to Hegel’s dialectical logic and its relation to the history and philosophy of logic. Secondly, new research about the connection between contradictory logical systems and Hegel's dialectics is also being developed. Finally, there have been recent confirmations that the concept of dialectics is of general interest, and that the usual perplexities about the Hegelian triadic and fairly mechanic device of ‘yes, not, and not not’ are in remission. The chapters feature philosophically and historically motivated presentations of formal features of Hegel’s dialectics, critical considerations about the very idea of ‘formalizing dialectics’ and presentations of past attempts to formalize Hegel’s dialectics. The Formalization of Dialectics will be a key resource for scholars and researchers of the history and philosophy of logic and Hegel’s dialectics. It will also be of interest to anyone who wants to know more about the concept of dialectics, its meaning and its use in contemporary thought. This book was originally published as a special issue of History and Philosophy of Logic.

Classical logic is typically concerned with abstract analysis. The problem for a synthetic logic is to transcend and unify available data to reconstruct the object as a totality. Three rules are proposed to pass from classic logic to synthetic logic. We present the category logic of qualitative opposition using examples from various sciences. This logic has been defined to include the neuter as part of qualitative opposition.

Classical logic is typically concerned with abstract analysis. The problem for a synthetic logic is to transcend and unify available data to reconstruct the object as a totality. Three rules are proposed to pass from classic logic to synthetic logic.

Provability, Computability and Reflection

The Rational Kernel of the Hegelian Dialectic is the last in a trilogy of political-philosophical essays, preceded by Theory of Contradiction and On Ideology, written during the dark days at the end of the decade after May '68. With the late 1970¿s ¿triumphant restoration¿ in Europe, China and the United States, Badiou and his collaborators return to Hegel with a Chinese twist. By translating, annotating and providing commentary to a contemporaneous text by Chinese Hegelian Zhang Shi Ying, Badiou and his collaborators attempt to diagnose the status of the dialectic in their common political and philosophical horizon. Readers of Badiou¿s more recent work will find a crucial developmental step in his work in ontology and find echoes of his current project of a 'communist hypothesis'. This translation is accompanied by a recent interview that questions Badiou on the discrepancies between this text and his current thought, on the nature of dialectics, negativity, modality and his understanding of the historical, political and geographical distance that his text introduces into the present.

This book traces the development of Dialectical Logic within the history of modern western philosophy, culminating in Marx s materialist dialectics. It brings out the essential contours of Logic through a detailed exposition of the ontological and epistem