Free Logic - A Generalization

The Principle of Univocality has two parts: an existence assumption and a uniqueness assumption. The existence assumption holds that every name refers to at least one individual, and the uniqueness assumption states that every name refers to at most one individual. This Element investigates violations of the Principle of Univocality.

List of contents

1. Introduction; 2. Why free logic?; 3. Truth and models; 4. Proofs and logical consequence; 5. Costs and benefits of each system; 6. Conclusion: revisiting the motivations; References.

Summary

The Principle of Univocality has two parts: an existence assumption and a uniqueness assumption. The existence assumption holds that every name refers to at least one individual, and the uniqueness assumption states that every name refers to at most one individual. This Element investigates violations of the Principle of Univocality.

Foreword

This Element extends classical free logic by covering both terms that refer to nothing, and ambiguous or confused terms.

Product details

• Authors: Greg Frost-Arnold, Greg (Hobart and William Smith Colle Frost-Arnold, Frost-Arnold Greg
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.01.2025
• EAN: 9781009114059
• ISBN: 978-1-0-0911405-9
• No. of pages: 110
• Series: Elements in Philosophy and Logic
• Subjects: Humanities, art, music > Philosophy > General, dictionaries; Non-fiction book > Philosophy, religion > Philosophy: general, reference works; Philosophy of Language, PHILOSOPHY / Logic, Philosophy of Science, Philosophy: metaphysics and ontology, Philosophy: logic, Philosophy: epistemology and theory of knowledge