# Episode 1: The Grammar of Mathematics

**Objective:** To master mathematical statements, logical connectives, and quantifiers to build the "logical skeleton" necessary for constructing proofs.

### I. Introduction: Thinking Like a Mathematician

* **Defining the Statement:** Mathematics only deals with **declarative sentences** that are unambiguously true or false.

* **What is NOT a statement:** Distinguishing statements from questions, commands, opinions, and paradoxes like "This sentence is false".

* **The Universe of Discourse:** Introducing the concept that the truth of a claim depends on the set of objects being discussed (e.g., integers vs. real numbers).

### II. Segment 1: The Logical Building Blocks (Connectives)

### III. Segment 2: The Logic of Promises (Conditionals)

### IV. Segment  ...