PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 10, 20260 citationsOpen Access

Recursive Consistency Requirement in the Paton System

View Full Paper
APAndrew John Paton

Key Points

  • The aim is to establish a consistency requirement within the Paton System framework to avoid self-contradiction.
  • Analysis of the Paton System framework
  • Examination of admissibility conditions
  • Discussion on recursive logical loops
  • Identified the Recursive Consistency Requirement as essential for coherence
  • Clarified that failing the requirement leads to logical contradictions
  • Established connections between admissibility and recursive systems

Abstract

This note states a consistency requirement within the Paton System framework. Because the Paton System describes admissibility as the governing condition for continuation in recursive systems, the framework itself must satisfy the same admissibility conditions it describes. If it did not, the theory would become self-contradictory and enter a recursive logical loop. The Recursive Consistency Requirement therefore ensures structural coherence within the Paton System architecture.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69af95a470916d39fea4d7abhttps://doi.org/10.5281/zenodo.18911121
Ask AI
Helpful
Bookmark
Share
View Full Paper