In this paper, author deals with Heidegger's account of the modern age as the epoch based on Western metaphysics. In the first part of the paper, he shows that, according to Heidegger, modern interpretation of the reality as the world picture, is essentially determined by Descartes' philosophy. Then, author exposes Heidegger's interpretation of the turn which already took place in Plato's metaphysics and which made possible Descartes' metaphysics and modern epoch. In the second part of the paper, author explores Heidegger's interpretation of science and technology as shoots of very metaphysics. Heidegger emphasizes that the essence of technology corresponds to the essence of subjectivity and shows how the metaphysics of subjectivity subsequently finds its end in Nietzsche's metaphysics of the will to power, as the last word of Western philosophy. In the concluding part, author argues that the contemporary processes of globalization can be just understood as processes of completion of metaphysics. They can be identified as a global rule of the essence of technology. On the basis of Heidegger's vision of overcoming metaphysics, author concludes that it opens the possibility of a philosophy of finitude which points to dialogue with the Other as a way of resolving the key practical issues of the contemporary world.