Knowing and Being in Ancient Philosophy, ed. D. Bloom, L. Bloom, and M. Byrd, Cham, Switzerland: Palgrave Macmillan,73-95., 2022
Pre-publication draft I Paradox has been defined as "an apparently unacceptable conclusion derive... more Pre-publication draft I Paradox has been defined as "an apparently unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises." 2 Metaphysical premises seem especially prone to generate paradox. This is for two reasons. Many paradoxes (call them R paradoxes) arise as a result of recursive reference, in which a statement, or part of a statement, explicitly or implicitly refers to itself. Examples are the liar paradox ("this sentence is a lie") and the Russell paradox ("Is the set of all sets that are not members of themselves a member of itself?"). 3 Metaphysical paradoxes are prone to recursive reference as metaphysical discourse itself is an aspect of reality for which metaphysics must give an account. For example, a radical metaphysical relativism, according to which any position is true only relative to a particular believer or belief system, generates a paradox as a result of a "turning of tables" argument, like that of Plato's Theaetetus 170c-171c.
Uploads
Papers by Owen Goldin