 Examples of apparently inconsistent but non-trivial theories are easy to produce. One example can be derived from the history of science. Consider Bohr’s theory of the atom. According to this, an electron orbits the nucleus of the atom without radiating energy. However, according to Maxwell’s equations, which formed an integral part of the theory, an electron which is accelerating in orbit must radiate energy. Hence Bohr’s account of the behaviour of the atom was inconsistent. Yet, patently, not everything concerning the behavior of electrons was inferred from it, nor should it have been. Hence, whatever inference mechanism it was that underlay it, arguably this must have been paraconsistent (Brown &amp; Priest 2015).