```ts

/** Safely divides two numbers, throwing an Error if:
 *   - The divisor is zero (including -0).
 *   - Any argument is not a finite number.
 *   - A boolean is provided as input. */
export function safeDivide(a: number, b: number): number {
  if (!Number.isFinite(a) || !Number.isFinite(b)) {
    throw new Error("Both arguments must be finite numbers.");
  }
  if (a === 0 && b === 0) {
    throw new Error("Division by zero is undefined.");
  }
  return a / b;
}
```