This work is the result of a master's research project presented in 2007 at the Pontifical Catholic University of Paraná (PUCPR). It deals with approaches to theories, the education of the Greek world based on the principles of paideia expressed by Plato in The Republic, whose foundations are based on "eleutheros", "arete", "aletheia" and "diké", in other words freedom, virtue, truth and justice, and the utopian ideals of Ernest Block's dialectic of hope, which stimulated thinking and the search for dreams that could be realised, humanising social utopias. These theories underpin the ideas of Freire's pedagogy in the struggle for freedom and justice driven by utopia founded on the hope of a better life in a society dominated by freedom, in which man re-educated by the principles of "arete", "aletheia" and "diké" is responsible for his own destiny, that the principle of utopia nourishes the paidéia so that hope through the word directs the oppressed towards their freedom.