PROTEUS studies main strategies devised by Western philosophy in representing time in cosmology. It aims atmodifying current metaphysics and its relationship with cosmology in the light of recent scientific debates in quantumgravity and quantum cosmology, thereby boosting a new research field in history and philosophy of cosmology. Theproject is based on two hypotheses: 1) the history of philosophy reveals a guideline that can be traced back to Platoand that characterizes physical and metaphysical approaches to the question of the beginning of the universe in termsof a tension between fundamentality and non-fundamentality of time; 2) there is a conceptual problematic assumptionin Western culture and it consists in shaping the problem of the origin of the world as a problem of thinking about thevery same conditions of possibility of the origin of a process that is not in time. The project spells out the conceptualroots of current representations of time in quantum gravity and quantum cosmology and highlights the conceptualbreak that they provide with respect to philosophical concepts of time portrayed in previous systems. PROTEUSexplores in detail the notions of time and the paradoxes emerging in the philosophy and cosmology of Plato and Kantand identifies the fundamental characters of emergent time in current quantum gravity theories. In identifying thesefundamental features, PROTEUS produces conceptual innovation in metaphysics in such a way that philosophicalinvestigation is complementary to the development of current theories. PROTEUS elaborates alternative argument(s)to anthropic principle, as well as new categories accounting for the notion of ‘contingent necessity’ of the world.The research team includes members from different backgrounds (philosophy, mathematics and physics) and willpromote the application of a new methodology emphasizing the relevance of the history of philosophy and the actualinteraction between philosophers and scientists.