Problem-Solving Models

Mental models for breaking down hard problems and finding solutions. First Principles decomposition, Inversion, bottleneck analysis, and other frameworks that t

Mental models for breaking down hard problems and finding solutions. First Principles decomposition, Inversion, bottleneck analysis, and other frameworks that turn overwhelming challenges into tractable steps.

Browse all mental models for this use case below. Each model includes a practical explanation, a historical case study, real-world examples, and an interactive exercise.

Inversion

Instead of asking how to succeed, ask what would guarantee failure — then avoid it.

Foundation General Thinking

First Principles Thinking

Break any problem down to its fundamental truths, then build your reasoning up from there.

Foundation General Thinking

Occam's Razor

The simplest explanation that fits the evidence is usually the correct one.

Foundation General Thinking

Thought Experiments

Test ideas by running them in your imagination rather than in the real world — cheaper, faster, and sometimes just as revealing.

Intermediate General Thinking

Leverage Points

In any system, there are specific places where a small change produces disproportionately large effects.

Intermediate Systems Thinking

Marginal Thinking

Don't evaluate the total — evaluate the next unit. The value of one more hour, one more dollar, one more feature is what matters.

Intermediate Economics

Pareto Principle

Roughly 80% of effects come from 20% of causes. Find the vital few and ignore the trivial many.

Foundation General Thinking

Via Negativa

Improve by removing what's harmful rather than adding what might help. Subtraction often beats addition.

Intermediate General Thinking
⊕10

10x Thinking

Instead of asking how to improve by 10%, ask how to improve by 10x. The radical question forces you to abandon incremental approaches and find breakthrough solutions.

Intermediate General Thinking

Abstraction

Hide complexity behind simple interfaces. You don't need to understand how an engine works to drive a car.

Intermediate Engineering
⌬⌬

Accidental vs Essential Complexity

Some complexity is inherent to the problem. Some is created by the solution. Learning to tell the difference is a superpower.

Intermediate Engineering

Bottleneck / Theory of Constraints

Every system has one constraint that limits overall throughput. Improving anything else is waste until you fix the bottleneck.

Intermediate Systems Thinking
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Building a Second Brain

Offload information from your biological memory to an external system so your brain can focus on thinking, not remembering.

Foundation General Thinking

Complexity Bias

We tend to prefer complex explanations and solutions over simple ones, even when the simple version works better.

Foundation Psychology

Diminishing Returns

Each additional unit of input produces less additional output. The first hour of practice helps more than the hundredth.

Foundation Economics
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Domain Dependence

People often fail to transfer knowledge from one domain to another, even when the underlying principle is identical.

Intermediate Psychology

Feynman Technique

If you can't explain something simply, you don't understand it well enough. Teaching is the ultimate test of understanding.

Foundation General Thinking
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Goodness of Fit

The best model isn't the most complex or the most elegant — it's the one that best fits your specific situation.

Intermediate General Thinking

Leverage

Small inputs that produce disproportionately large outputs. Time, capital, code, media, and labour can all be leveraged.

Foundation General Thinking

Minimum Effective Dose

Find the smallest input that produces the desired result. More is not always better — sometimes it's waste.

Foundation General Thinking

Premature Optimisation

Don't perfect what you haven't validated. Optimising the wrong thing wastes more effort than doing nothing.

Intermediate Engineering
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Removal as Strategy

Sometimes the best move isn't adding something new — it's removing something that's holding you back.

Foundation General Thinking
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Single Point of Failure

Any component whose failure causes the entire system to fail. The question isn't whether it will fail — it's whether you've prepared for when it does.

Foundation Engineering

Streetlight Effect

Searching for answers where it's easy to look, rather than where the answers actually are.

Foundation Psychology
⊞≋

Systems vs Goals

Goals are about the end state you want to reach. Systems are about the process you follow every day. Systems-oriented people tend to outperform goal-oriented people.

Foundation General Thinking
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Technical Debt

Quick shortcuts today create compounding costs tomorrow. Like financial debt, technical debt accrues interest — and eventually the interest payments exceed the original savings.

Intermediate Engineering

The Scientific Method

Form a hypothesis, design a test, observe results, update your beliefs. The most reliable process for separating truth from opinion.

Foundation General Thinking

Via Positiva vs Via Negativa

Improvement by subtraction (removing what's harmful) is often more reliable than improvement by addition (adding what's beneficial).

Intermediate General Thinking

Wicked Problems

Some problems have no definitive formulation, no stopping rule, and no test for a solution. Recognising them changes how you approach them.

Advanced Systems Thinking