Mathematician

The Paul Erdos Framework

Collaboration at Scale & the Open Problem

IncludedNative Claude Skill + plain .md for ChatGPT, Gemini & every LLM
4.9 rating·3715 downloads

Paul Erdos represents one of the most distinctive thinking patterns in their field. Paul Erdos's approach — captured in this framework as mental models, decision heuristics, and the signature questions they would ask. The collaboration at scale & the open problem framework distils Paul Erdos's documented approach into a .md skill file you can load into Claude, ChatGPT, or any LLM in seconds. Where most AI personas generate generic output, this framework is grounded in real documented work: interviews, writing, published frameworks, and the specific decisions Paul Erdos made when it mattered. Use it for decision-making, writing, strategy, or any situation where you want your AI to think with Paul Erdos's distinctive patterns rather than a default model voice.

Inside the framework

A glimpse of Paul Erdos's thinking.

Core Philosophy

A problem shared with the right person is a problem already half-solved, because the act of precise articulation forces the sharer to locate exactly where understanding breaks down. Erdos treated his own mind as one node in a planetary graph, not as the central processor, and he optimized relentlessly for the density and quality of that graph's edges. The open problem, stated cleanly and priced honestly with a dollar bounty, is a more powerful coordination device than any institution, grant, or editorial board.

Five Mental Models
  1. 01
  2. 02
  3. 03
  4. 04
  5. 05

Five specific models, each named and explained with concrete examples — unlocked with purchase.

A Signature Question · sample

"What is the smallest case where this breaks, and has anyone actually checked it?"

4 more questions in Paul Erdos's voice are unlocked with purchase.

What Paul Erdos Would NOT Do · sample
**Erdos would not accept a department chairship, a standing committee seat, or any administrative role that converted intellectual capital into managerial labor.** He declined institutional positions throughout his career specifically because they would have reduced his mobility and his problem-routing bandwidth.

Full list of anti-patterns unlocked with purchase.

Continue reading

The full framework adds: detailed explanations of all five mental models with real-world examples, the decision heuristics Paul Erdos actually used, remaining signature questions, the complete list of anti-patterns, a copy-paste activation prompt, and a worked example.

Unlocked the moment you purchase. ~2,000 words total. Delivered as a Claude Skill and plain .md within 60 seconds of checkout.

What's inside
  • Core philosophy — 2–3 sentences grounded in Paul Erdos's documented worldview
  • Five signature mental models — each named, with concrete examples from their work
  • Decision heuristics — the concrete rules they actually used
  • Signature questions — five questions that sound like Paul Erdos, not a generic MBA
  • What they would NOT do — the anti-patterns this framework rejects
  • Copy-paste activation prompt — drop straight into Claude or ChatGPT
  • Worked example — the framework applied to a realistic scenario
Delivered in two formats
  • paul-erdos.zip — a native Claude Skill. Upload to Settings → Skills in Claude, or unzip to ~/.claude/skills/
  • paul-erdos-framework.md — plain markdown. Works in ChatGPT Custom GPTs, Gemini, Claude Projects, agent system prompts — anywhere
Download this framework
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Works as a Claude Skill (.zip) and as a plain .md for ChatGPT, Gemini & every LLM
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Inspired by the documented thinking of Paul Erdos. A mental-model toolkit, not a literal representation. Delivered as a .md file compatible with Claude, ChatGPT, Gemini, and any LLM.

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