Examine the logical coherence between the following definitions and their constitutional context:
1. Evidence 1: Article 12 lists the Government and Parliament of India, and local authorities, to establish exactly who is bound by Fundamental Rights. Inference 1: Therefore, the constitutional definition of 'State' is structural and administrative, focusing on entities wielding public power.
2. Evidence 2: A 'nation' is theoretically defined as a community of people sharing a common culture, history, or language. Inference 2: Consequently, Article 12 explicitly includes 'a community with shared culture' in its legal definition of the State.
3. Evidence 3: Article 36 states that in Part IV, 'the State' has the same meaning as in Part III. Inference 3: Thus, the structural definition established in Article 12 applies identically to the Directive Principles of State Policy.