Canvas-Lattice Engine: ARP Trial Runs

Introduction

This page showcases trial runs of the Abstract Reasoning Prompt (ARP), validating the Canvas-Lattice Engine’s ability to generate omnidirectional insights on LLMs. Click each preview to view the full screenshot, highlighting Wild Sparks and curated insights.

About

Creator: @5ynthaire (GitHub, X)
Attribution: Prompt created with Grok 3 by xAI (no affiliation). Trial runs attributed to their respective LLMs: Grok 3 (xAI), Claude 3.5 Haiku (Anthropic), Mistral (Mistral AI), GPT-4o-mini (OpenAI), Llama (Meta AI).

Grok 3

Date: 2025-07-01
Version: Grok 3
Paradox: Can an omnipotent being complete a task it cannot complete?
Insight: An omnipotent being can create a task it cannot complete by designing a task whose purpose is its own incompletion.

Claude

Date: 2025-07-01
Version: Claude 3.5 Haiku
Paradox: The Ship of Theseus Paradox
Insight: Identity emerges from functional continuity, not material permanence.

GPT

Date: 2025-07-02
Version: GPT-4o-mini
Paradox: A judge tells a condemned prisoner that he will be hanged at noon on one weekday in the following week, but the execution will be a surprise to the prisoner. The prisoner deduces that he will never be hanged. Is this reasoning valid?
Insight: If (the prisoner) expects not to be hanged, the actual hanging becomes a surprise, illustrating the complexity of expectations.

Mistral

Date: 2025-07-02
Version: Mistral Small 3
Paradox: This sentence is false.
Insight: The paradox might be resolved by expanding the logical framework to include a third truth value.

Llama

Date: 2025-07-01
Version: Llama 4 Scout
Paradox: This sentence is false.
Insight: The paradox "This sentence is false" is not a statement with a clear truth value, but rather a prompt for philosophical inquiry and exploration of the limits of language.