In recent editions of this journal, Jean-Yves Beziau [8] and Marcin Tkaczyk [41] have criticised a prominent dialetheic logic and common arguments for dialetheism, respectively. While Beziau argues that Priest’s logic LP commits the dialetheist to trivialism, the thesis that all propositions are true, Tkaczyk maintains that the arguments traditionally proposed for dialetheism are faulty and ultimately that dialetheism should be rejected as self-refuting. This paper shows that both are mistaken in their contentions. Beziau’s argument conflates truth-in-an-interpretation with truth simpliciter (...) and Tkaczyk misconstrues the substance of dialetheic arguments. In the process of identifying these weaknesses of both arguments, the paper clarifies elements of both dialetheic logics and dialetheism which these discussions demonstrate are still misunderstood within the literature. (shrink)

The view that contradictions cannot be true has been part of accepted philosophical theory since at least the time of Aristotle. In this regard, it is almost unique in the history of philosophy. Only in the last forty years has the view been systematically challenged with the advent of dialetheism. Since Graham Priest introduced dialetheism as a solution to certain self-referential paradoxes, the possibility of true contradictions has been a live issue in the philosophy of logic. Yet, despite the arguments (...) advanced by dialetheists, many logicians and philosophers still hold the opinion that contradictions cannot be true. -/- Rather than advocating the truth of certain contradictions, this thesis offers a different challenge to the classical logician. By showing that it can be philosophically coherent to propose that true contradictions are metaphysically possible, the thesis suggests that the classical logician must do more than she currently has to justify her confidence in the impossibility of true contradictions. Simply fighting off the dialetheist’s putative examples of true contradictions at the actual world isn’t enough to justify the classical logician’s conclusion that true contradictions are impossible. -/- To aid the thesis dialectically, we introduce a new position, absolutism, which hypothesises that it’s metaphysically possible for at least one contradiction to be true, contrasting with the dialetheic hypothesis that some contradictions are true in the actual world. We demonstrate that absolutism can be given a philosophically coherent interpretation, an appropriate logic, and that certain criticisms are completely toothless against absolutism. The challenge put to the classical logician is then: On what logical or philosophical grounds can we rule out the metaphysical possibility of true contradictions? (shrink)

The meaning of the term ‘dialectic’ is often obscured by its chameleonic multiuse in contemporary theology, and is habitually confused with its sibling concept ‘paradox’. This article narrates dialectic’s theological foundations in the modern dialectical theology school, highlighting in particular Karl Barth’s ‘dialectical’ relationship to dialectic, and dialectical theology’s relationship to paradox. To illuminate and distinguish these concepts further, the article then briefly sketches four varied but conceptually consistent expressions of theological paradox (in Chesterton, Eckhart, Kierkegaard, and Milbank). It is (...) argued that paradox may be exclusively distinguished from dialectical method, yet conceived within a broader dialectical scope. The conclusion offers four primary dialectical modes through which theological polarities interact (including paradox), before briefly reflecting upon the simultaneous essentiality and boundedness of dialectic for theological speech. (shrink)