Examine the logical coherence between the following political philosophies and their theoretical definitions:
1. Evidence 1: A political system ensures that the state places absolutely no obstacles or regulatory barriers on a citizen's personal life choices. Inference 1: This system is primarily operationalizing the concept of positive liberty.
2. Evidence 2: A theorist argues that a starving person is not truly free, and society must provide education and healthcare to unlock their potential. Inference 2: This argument fundamentally relies on the framework of positive liberty ('freedom to').
3. Evidence 3: Negative liberty is strictly defined as the condition where individuals act in a vacuum without external coercion. Inference 3: Therefore, negative liberty represents 'freedom from' restrictive interventions.