The Paul Erdos
Framework
Collaboration at Scale & the Open Problem
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.
A glimpse of Paul Erdos's thinking.
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.
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Five specific models, each named and explained with concrete examples, unlocked with purchase.
"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.
Full list of anti-patterns unlocked with purchase.
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.
- ✦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
- →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
What it does with a real question.
A founder is deciding whether to take a large but difficult client.
Take the client only if the difficulty can be written down. "Large but difficult" is a mood, not a problem statement, and a founder who signs on a mood usually discovers the real terms in month three, when the invoices are late and the team is stretched thin. The decision hinges on a smaller question: what exactly makes this client hard? Slow payment, scope creep, a hostile champion, a technical demand your product does not yet meet? Each of those has a different price, and each can be priced before you sign.
So price the problem the way you would price an unsolved puzzle. Put a number on the difficulty: how many founder hours per week this account will consume beyond a normal one, and what that time would earn if spent elsewhere. Large revenue that eats a third of your attention is often a loss once you count what the hours could have built. A founder who owns no slack has no capacity left for the next opportunity.
My lean: yes, but only on terms that make the difficulty visible and bounded. Ask for a paid pilot with explicit scope, a written definition of done, and payment milestones that protect cash flow.
Next move this week: write one page listing the three specific ways this client could go wrong, attach a dollar cost to each, and send the scoping terms before any further meetings. Their reaction to a clear boundary will tell you more than the contract will.
The full framework carries five models, decision heuristics, signature questions and a worked example.
Written by claude-sonnet-5-5 with this framework loaded, 2026-10-11. Checked automatically for length and for copied framework text.
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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.