Martin Heidegger holds the position according to which every entity is grounded in being and being is ungrounded. Some interpreters have recently shown that this metaphysical picture is untenable because Heidegger’s characterization of being leads to a contradiction. This paper challenges this approach. With the help of dialetheism and paraconsistent logic, metaphysical and logical sense is made of Heidegger’s position, developing two inconsistent, but not logically trivial, grounding theories (called para-foundationalism 1.0 and para-foundationalism 2.0). Finally, employing the inconsistent grounding theories developed in this paper, an interpretation is given of one of the most obscure concepts of the so-called late Heidegger, namely the Last God.