How does the type of organization $($e$.$g$.,$government vs$.$corporation$)$impact the style and approach of leadership? Moreover, create and expand this question with at least three sub$-$questions with detailed answer for all of them. In your answers, incorporate insights from modern organizational realities and apply different philosophical concepts such as social ontology, Machiavelli $($The Prince$),$Confucius $($The Analects$),$Plato $($The Republic$),$and Stoic principles and Social Ontology. Provide detailed explanations with real$-$life examples of well$-$known government and corporate organizations.