# Episode 6: The Critic’s Eye

**Objective:** To transition from a passive consumer of mathematics to an active critic and analyst, using systematic tools to audit, write, and compare proofs.

### I. Introduction: The Detective Mindset

* **The Goal of Part V:** Moving beyond "doing" mathematics to the higher-level skill of proof literacy.

* **Proof as a Narrative:** Understanding that a proof is a story whose plot is logical necessity, not just a jumble of equations.

* **The Implicit Contract:** The unspoken agreement that a writer’s informal prose could be translated into formal logic if required.

### II. Segment 1: How to Read a Proof (Chapter 16)

* **The 11-Point Proof Evaluation Dashboard:** Introducing the definitive checklist for auditing any argument, including:

* **Logical ...