A real case · you decide

The Case — does the picture lie?

Ogle — a sharp classmate who trusts every slick diagram on sight

The idea in play: a wordless picture is a proof only when it accounts for EVERY lot — audit what it drew against what it claimed.

Ogle slides a phone across the desk. "Look — a one-line visual proof that (a+b)² = a² + b². Two squares, done. Slick, right? I'm sold."

The picture is genuinely pretty: a big square, and inside it two smaller squares labelled a² and b². It LOOKS complete.

But a wordless proof persuades by showing every piece. The move is not to admire it or to reject it on reflex — it is to COUNT the lots the picture draws and compare them to the lots the words claim.

Ogle: "So the fix isn't to stop looking at pictures — it's to count the lots every time. A picture earns the word 'proof' when nothing it draws goes unnamed."

Open the Proof Studio →