There is no corporal philosophy at the level of other philosophical subdisciplines. A research line has begun whose ultimate goal is to determine whether a somatic philosophy can be built. From a pragmatist and biopolitical approach, the present study investigated why it has not been possible to develop grounded somatic philosophy. As an answer, the “idealist–dualist episteme” is described, which encompasses invariants in the history of idealist philosophy at the ontological, gnoseological, ethical–political, and pedagogical levels. These constants reflect somatophobia, as well as an ontological and gnoseological disregard of the body, which has led to the irrelevance of the body and corporeality in philosophy until the arrival of the “bodily turn”. The critique of this prevailing idealism and dualism will enable a review of current approaches based on these positions, such as embodiment, enactivism, embodied cognition, or embodied artificial intelligence. It opens up a new philosophical line with a universalis scope that is open to the eclectic construction of a pragmatic corporal philosophy that takes into account Chinese, Japanese, or African philosophies.