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Reading technique · Advanced

Contrapositive Reading

Reading a conditional clue backwards: if the consequence is false, the trigger must be false too.

Why it works

'If A then B' and 'if not B then not A' are the same statement. Most readers only watch for the trigger to fire; the backwards reading often resolves first.

Trigger

Any conditional clue, checked every time its consequence is ruled out rather than confirmed.

Common mistake

Only checking a conditional clue's forward direction, and never revisiting it when the consequence — not the trigger — becomes false.

Example

'If Mina is the baker, Theo owns the turtle' also means: if Theo doesn't own the turtle, Mina isn't the baker.

On Bambleweeny's board

Bambleweeny applies this automatically at Proficient and Expert difficulty. At Beginner difficulty it does not — one of the few places a careful reader can outperform the built-in solve.

Put it to work

See this technique on a live board, or go back and browse the rest of the library.