A minimal theory of truth

I am grateful to Arnold Koslow for many extremely fruitful conversations about truth and for helpful comments on earlier drafts.     

Bilattices and the theory of truth

Conclusion While Kripke's original paper on the theory of truth used a three-valued logic, we believe a four-valued version is more natural. Its use allows for possible inconsistencies in information about the world, yet contains Kripke's development within it. Moreover, using a four-valued logic makes it possible to work with complete lattices rather than complete semi-lattices, and thus the mathematics is somewhat simplified. But more strikingly, the four-valued version has a wide, natural generalization to the family of interlaced bilattices. Thus, with little more work, the theory is extended to a broad class of settings. Indeed, a result like Theorem 6.2 would not even be possible to state without the interlaced bilattice machinery. We hope the notion of interlaced bilattice will make apparent further such connections.     

Toward a postmodern correspondence theory of truth

The correspondence theory of truth no longer holds the privileged place it once held. In a postmodern world there simply does not appear to be any objective reality to which our ideas might correspond in order to be true. Thus, today other theories of truth have become popular. Most theists bemoan the loss of correspondence and muster arguments to oppose the postmodern perspective. This paper argues that even given the postmodern perspective of our age a correspondence theory of truth is still a viable.     

Judgment and the identity theory of truth

The identity theory of truth takes on different forms depending on whether it is combined with a dual relation or a multiple relation theory of judgment. This paper argues that there are two significant problems for the dual relation identity theorist regarding thought’s answerability to reality, neither of which takes a grip on the multiple relation identity theory.     

Propositional quantification and the prosentential theory of truth

Philosophical Studies -