Online research in philosophy

The Hangman Paradox has a simple solution. The amazing refutation of the judge's decree rests on the axiom of knowledge-conservation. This axiom is false under unfavourable conditions. You can have a perfect piece of knowledge in the ordinary sense, i.e. a true justified conviction, and yet be unable to conserve it. More interesting than its solution is the element of self-reference, connecting the Hangman via Moore's Paradox and Buridan's Epistemic Paradox with the Liar. This one, I think, has also a natural solution, but less simple. The basic idea is given here, but the technical treatment goes far beyond this paper. It requires a strong, but conservative, extension of classical and three-valued logic to a six-valued logic with infinitely many levels of reflection.

In this paper, I examine a solution to the Liar paradox found in the work of Ockham, Burley, and Pseudo-Sherwood. I reject the accounts of this solution offered by modern commentators. I argue that this medieval line suggests a non-hierarchical solution to the Liar, according to which ?true? is analysed as an indexical term, and paradox is avoided by minimal restrictions on tokens of ?true?. In certain respects, this solution resembles the recent approaches of Charles Parsons and Tyler Burge; in other respects, it is related to a suggestion of Gödel. But, as a whole, it suggests an original solution to the Liar paradox, quite unlike any current proposals.

Alfred Mele and M.P. Smith have presented a puzzle about omnipotence which they call “the new paradox of the stone.” They have also proposed a solution to this puzzle. I briefly present their puzzle and their proposed solution and argue that their proposed solution is unsatisfactory. I further argue that if their suggested solution to the original paradox of the stone succeeds, a similar solution also solves the new paradox of the stone.

On the basis of arguments showing that none of the most influential analyses of Moore's paradox yields a successful resolution of the problem, a new analysis of it is offered. It is argued that, in attempting to render verdicts of either inconsistency or self-contradiction or self-refutation, those analyses have all failed to satisfactorily explain why a Moore-paradoxical proposition is such that it cannot be rationally believed. According to the proposed solution put forward here, a Moore-paradoxical proposition is one for which the believer can have no non-overridden evidence. The arguments for this claim make use of some of Peter Klein's views on epistemic defeasibility. It is further suggested that this proposal may have important meta-epistemological implications.

I argue that the standard Bayesian solution to the ravens paradox— generally accepted as the most successful solution to the paradox—is insufficiently general. I give an instance of the paradox which is not solved by the standard Bayesian solution. I defend a new, more general solution, which is compatible with the Bayesian account of confirmation. As a solution to the paradox, I argue that the ravens hypothesis ought not to be held equivalent to its contrapositive; more interestingly, I argue that how we formally represent hypotheses ought to vary with the context of inquiry. This explains why the paradox is compelling, while dealing with standard objections to holding hypotheses inequivalent to their contrapositives.

For Moore, it is a paradox that although I would be absurd in asserting that (it is raining but I don.

Moore's paradox pits our intuitions about semantic oddnessagainst the concept of truth-functional consistency. Most solutions tothe problem proceed by explaining away our intuitions. But``consistency'' is a theory-laden concept, having different contours indifferent semantic theories. Truth-functional consistency is appropriateonly if the semantic theory we are using identifies meaning withtruth-conditions. I argue that such a framework is not appropriate whenit comes to analzying epistemic modality. I show that a theory whichaccounts for a wide variety of semantic data about epistemic modals(Update Semantics) buys us a solution to Moore's paradox as a corollary.It turns out that Moorean propositions, when looked at through the lenseof an appropriate semantic theory, are inconsistent after all.

G. E. Moore famously noted that saying 'I went to the movies, but I don't believe it' is absurd, while saying 'I went to the movies, but he doesn't believe it' is not in the least absurd. The problem is to explain this fact without supposing that the semantic contribution of 'believes' changes across first-person and third-person uses, and without making the absurdity out to be merely pragmatic. We offer a new solution to the paradox. Our solution is that the truth conditions of any moorean utterance contradict its accuracy conditions. Thus we diagnose a contradiction in how the moorean utterance represents things as being; so we can do justice to the intuition that a Moore-paradoxical utterance is in some way senseless, even if we know what proposition it expresses.

I offer a model of self-knowledge that provides a solution to Moore’s paradox. First, I distinguish two versions of the paradox and I discuss two approaches to it, neither of which solves both versions of the paradox. Next, I propose a model of self-knowledge according to which, when I have a certain belief, I form the higher-order belief that I have it on the basis of the very evidence that grounds my first-order belief. Then, I argue that the model in question can account for both versions of Moore’s paradox. Moore’s paradox, I conclude, tells us something about our conceptions of rationality and self-knowledge. For it teaches us that we take it to be constitutive of being rational that one can have privileged access to one’s own mind and it reveals that having privileged access to one’s own mind is a matter of forming first-order beliefs and corresponding second-order beliefs on the same basis.