© 2017 Walter de Gruyter GmbH, Berlin/Boston. The aim of this paper is to propose that both Hegel and Peirce are committed to two arguments against the notion that metaphysics is impossible, where not only do they claim metaphysics is possible, but that they also insist on the indispensability of this philosophical discipline. In the first argument, both Hegel and Peirce argue that it is impossible to eliminate metaphysical concepts from ordinary language and our scientific practices. In the second argument, both Hegel and Peirce argue that metaphysics is a necessary part of intellectual enquiry on the grounds that metaphysics is indispensable for human development. Such is the philosophical significance of both their views on the indispens...