C.U.L.T.The Adversary · Workshop 03

Cultivating Underdeveloped Leaders Today

First Proof

Six steps. About 30 minutes. Up to 8 stars. The constellation you're building is called First Proof.

← The Adversary
0 / 8 stars
First Proof constellation
Showing default examples (Tier 2 — Building) · Take The Star Chart for examples matched to your level.

"I think it's right" and "I know it's right" are completely different sentences.

Math is the only subject in school where you can be certain. Not in the bullshit way of "everyone agrees" or "it sounds good." In the real way: you can show the steps. Each step has a reason. Each reason holds up. That's a proof.

The cadet who learns to defend their answer doesn't just get math. They learn how to defend any answer in any subject — because the muscle is the same. Show your reasoning. Make every step justified. Hand the page to anyone in the room and let them check it.

By the end of this workshop you'll have ordered a real proof, separated valid defenses from "I think so" defenses, found a hidden mistake in someone else's work, and built your own three-step proof of any math claim you choose. The hardest step on this planet, and the most important.

Step 1 · Read

Got it?

If you understand the difference between thinking you're right and knowing you are — tap below.

★ star earned
Step 2 · Order the steps

Put the steps of this proof in the right order

The problem: If x + 5 = 12, what is x?

Below are four steps that solve it. They're scrambled. Tap each step in the order you'd actually do it. Click a placed step to clear it.

Tap to place in order

Your order

1First step...
2Second step...
3Third step...
4Fourth step...
0 of 4 placed ★ star earned
Step 3 · Defend

Which of these are valid defenses for a math claim?

Multi-select. Some of these defenses actually hold up in math. Others are "I think so" dressed up to sound smart. Pick the ones that are real defenses.

★ star earned
Step 4 · Find the error

There's a mistake in this proof. Which line?

Below is a worked solution. The final answer is wrong. Find the line where the error happened. Click that line.

Problem: Solve 3x + 6 = 18.
★ star earned
Step 5 · Build a proof

Pick a math claim. Write three steps that prove it.

Any claim. Big or small. "4 + 3 equals 3 + 4." "If x + 2 = 10, then x = 8." "A square with side 5 has area 25." You don't need it to be impressive — you need every step to be justified.

Write the claim, then three numbered steps. Each line at least 10 characters.

YOUR PROOF
CLAIM
STEP 1
STEP 2
STEP 3
★★ 2 stars earned
Step 6 · Reflect

What does it feel like to know you're right vs to think you're right?

You just built a proof. There's a feeling that comes with that — the difference between hoping and knowing. Name it. The cadets who can name this feeling will chase it for the rest of their lives.

15 characters minimum
★ star earned