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Inversion shows us that we don’t always need to be geniuses, nor do we need to limit its application to mathematical and scientific proofs. Simply invert, always invert, when you are stuck. If you take the results of your inversion seriously, you might make a great deal of progress on solving your problems.
Rhiannon Beaubien • The Great Mental Models Volume 1: General Thinking Concepts
Inversion is a powerful tool to improve your thinking because it helps you identify and remove obstacles to success. The root of inversion is “invert,” which means to upend or turn upside down. As a thinking tool it means approaching a situation from the opposite end of the natural starting point. Most of us tend to think one way about a problem:
... See moreRhiannon Beaubien • The Great Mental Models Volume 1: General Thinking Concepts
success. The root of inversion is “invert,” which means to upend or turn upside down. As a thinking tool it means approaching a situation from the opposite end of the natural starting point. Most of us tend to think one way about a problem: forward. Inversion allows us to flip the problem around and think backward.
Rhiannon Beaubien • The Great Mental Models Volume 1: General Thinking Concepts

There are two approaches to applying inversion in your life. Start by assuming that what you’re trying to prove is either true or false, then show what else would have to be true. Instead of aiming directly for your goal, think deeply about what you want to avoid and then see what options are left over.
Rhiannon Beaubien • The Great Mental Models Volume 1: General Thinking Concepts
This inversion approach became a staple of Bernays’s work.