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Further Comments on Yablo's Construction

Karl Schlechta

Abstract

We continue our analysis of Yablo's coding of the liar paradox by infinite acyclic graphs. The present notes are based on and continue the author's previous results on the problem. In particular, our approach is often more systematic than before.

Further Comments on Yablo's Construction

Abstract

We continue our analysis of Yablo's coding of the liar paradox by infinite acyclic graphs. The present notes are based on and continue the author's previous results on the problem. In particular, our approach is often more systematic than before.

Paper Structure

This paper contains 21 sections.

Table of Contents

  1. Introduction
  2. Outline
  3. Basic Definitions and Facts
  4. Strategy
  5. Satisfying the Antagonistic Requirements (C1) and (C2) In the Limit
  6. Elementary Cells
  7. Introduction
  8. Basic Discussion
  9. Values for y and z in Yablo Cells
  10. Yablo Cells Formed By Paths
  11. Branching points
  12. Paths
  13. The Problem with Diamonds
  14. Combining Cells
  15. Result
  16. ...and 6 more sections

Theorems & Definitions (23)

  • Definition 1.1
  • Definition 1.2
  • Definition 1.3
  • Remark 1.1
  • Remark 1.2
  • Definition 1.4
  • Definition 1.5
  • Example 1.1
  • Definition 1.6
  • Definition 2.1
  • ...and 13 more