Immanent Reasoning or Equality in Action A Plaidoyer for the Play Level /

• Main Authors: Rahman, Shahid (Author, http://id.loc.gov/vocabulary/relators/aut), McConaughey, Zoe (http://id.loc.gov/vocabulary/relators/aut), Klev, Ansten (http://id.loc.gov/vocabulary/relators/aut), Clerbout, Nicolas (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Logic, Argumentation & Reasoning, Interdisciplinary Perspectives from the Humanities and Social Sciences, 18
• Subjects: Logic.; Mathematical logic.; Mathematical Logic and Foundations.; Mathematical Logic and Formal Languages.

This monograph proposes a new way of implementing interaction in logic. It also provides an elementary introduction to Constructive Type Theory (CTT). The authors equally emphasize basic ideas and finer technical details. In addition, many worked out exercises and examples will help readers to bette...

Table of Contents:

• 1. Introduction: Some Brief Historical and Philosophical Remarks
• 2. A Brief Introduction to Constructive Type Theory
• 3. Basic Notions for Dialogical Logic
• 4. Advanced Dialogues: Play Level
• 5. Advanced Dialogues: Strategy Level
• 6. Local Reasons and Dialogues for Immanent Reasoning
• 7. The Dialogical Roots of Equality: Dialogues for Immanent Reasoning
• 8. The Remarkable Case of the Axiom of Choice
• 9. From Dialogical Strategies To CTT-Demonstrations And Back
• 10. Material Dialogues
• 11. Concluding Remarks: A Plaidoyer for the Play Level.