2023, Ficara E. & Priest G., The Formalization of Dialectics, 120 страниц, the print ISBNs are 9781032631660, 103263166X, Digital ISBN: 9781003813729, Publisher: Taylor and Francis

Cover
Half Title
Title Page
Copyright Page
Contents
Citation Information
Notes on Contributors
Introduction: The Formalization of Dialectics
References
1 Form, Formality, Formalism in Hegel’s Dialectic-Speculative Logic
1. Introduction
2. Logical Form and Formalization in Hegel’s Dialectic-Speculative Logic
2.1. ‘Thinking as Form’ and ‘Forms of Thinking’
2.2. Form and Content: Logical Form in General and Transcendental Logic
2.3. Dialectical Formality Against Formalism: Hegel’s ‘Absolute Form’
3. The Formality of Logical Form: Hegel’s Logic and the System of Philosophy
3.1. Logical and Real Forms
3.2. The Dialectic of Logical Form and the Project of Logical Formalization
References
2 Intuitionist and Classical Dimensions of Hegel’s Hybrid Logic
1. Introduction
2. The Pre-Analytic Russell, Hegel, and Geometry
3. Hegel, Geometry and Logic
4. Intuitionistic Logic’s Rejection of LEM as a Model for Hegel’s Logic.
5. Conclusion
ORCID
References
3 The Logical Structure of Dialectic
1. Introduction
2. Dialetheism
3. Outline of the Model
4. Applications: Hegel
5. Applications: Marx
6. Conclusion
References
Appendix. Technical Appendix
A.1 The Logic LP
A.2 The Dialectical Progression
4 Hegelian Conjunction, Hegelian Contradiction
1. Introduction
2. The Basic Proposal
3. A Formal Account
3.1. Models
3.2. Closure and Truth for Early Stages
3.3. Truth in a Model (or ‘In Reality’)
3.4. Hegelian Dialectical Entailment
4. Remarks on Some Formal Features
4.1. Simplification Fails
4.2. Explosion
4.3. Idempotence Fails
4.4. True Contradictions are Not Also False
5. Replies to a Few Objections
5.1. False Conjuncts!
5.2. Excluded Middle
5.3. Hegel's ‘Completion Principle’ is Clearly Pragmatic!
5.4. What of the Iterated Hegelian Process?
6. Closing Remarks
Acknowledgments
ORCID
References
5 Hegel’s Interpretation of the Sorites
1. Introduction
2. Hegel’s Sorites
2.1. Hegel’s Liar
2.2. The Sorites
2.3. The Logic and Metaphysics of the Sorites
2.3.1. Reflexion and Negation
2.3.2. The Einheit of Quality and Quantity
2.4. The EE and the Virtuous Progression of Reason
3. Hegel and the Contemporary Interpretations of Vagueness
3.1. How Tadpolefrogs Become Frogtadpoles
3.2. The Dialetheic Theory of Vagueness
4. Formalizing the EE?
4.1. The H-Conjunction
4.2. The Consequences
ORCID
References
6 Hegel’s Logic of Self-Predication
1. Introduction
2. The Question of Formality
3. Self-Predication and Existential Implication
4. Contradiction, Truth, and Modality
5. Illustrating the Concept: The Concept of Finitude
5.1. The Concept of Finitude
6. Hegel and the Square of Opposition
6.1. Hegel and the Traditional Square of Opposition
6.2. Hegel and the Modern Formalization of the Square of Opposition
7. The Formality of the Concept
7.1. The Abstract Concept
7.2. The Problem of Quantity
8. Conclusion: From Concept to Absolute Idea
References
7 A Lack of Form in Hegel’s Logic? Hegel and the Trans-classical Logic of Gotthard Günther
1. Introduction
2. The Opposition and Mediation of Being and Consciousness
2.1. The Logic of Being and the Logic of Consciousness
2.2. The Mediation of the Logic of Being and Consciousness
3. The Reflection of Reflection in Trans-classical Logic
4. Hegel Persists in Bivalence
5. A Different Form of Logic
5.1. The Changed Character of Logical Values
5.2. Polyvalence as Multiple Bivalence
6. Too Much Form in Hegel
References
Index