Paraconsistent and dialetheist approaches to a theory of truth are faced with a problem: the expressive resources of the logic do not suffice to express that a sentence is just true—i.e., true and not also false—or to express that a sentence is consistent. In his recent book, Spandrels of Truth, Jc Beall proposes a ‘just true’-operator to identify sentences that are true and not also false. Beall suggests seven principles that a ‘just true’-operator must fulfill, and proves that his operator indeed fulfills all of them. He concludes that just true has been expressed in the language. I argue that, while the seven conditions may be necessary for an operator to express just true, they are not jointly sufficient. Specifically, first, I prove that a further plausible desideratum for necessary conditions on ‘just true’ is not fulfilled by Beall’s proposal, namely that ‘just true’ ascriptions should themselves be just true, and not also false (or equivalently, that the ‘just true’-operator iterates). Second, I show that Beall’s operator does not adequately express just true, but that it merely captures an arbitrary proper subset of the just true sentences. Further, there is no prospect of extending the proposal in order to encompass a more reasonable subset of the just true sentences without presupposing that we have antecedent means to characterize the class of just true sentences.

Contrary to Block’s assertion, ‘‘identity-crowding’’ does not provide an interesting instance of object-seeing without object-attention. The successful judgments and unusual phenomenology of identity-crowding are better explained by unconscious perception and non-perceptual phenomenology associated with cognitive states. In identity-crowding, as in other cases of crowding, subjects see jumbled textures and cannot individuate the items contributing to those textures in the absence of attention. Block presents an attenuated sense in which identity-crowded items are seen, but this is irrelevant to the debate about phenomenal experience of an object in the absence of object-attention. Finally, even unconscious object perception in identity-crowding likely involves an attention-like selective process.

In many theories in contemporary philosophy of mind, attention is constitutively linked to phenomenal consciousness (e.g. Prinz 2012). Ned Block (2013) has recently argued that ‘identity crowding’ provides an example of subjects consciously seeing something to which they are unable to attend. Here I examine the reasons that Block gives for thinking that this is a case of a consciously perceived item that we are unable to attend to, and I offer a different interpretation.

In this article, I present a schema for generating counterexamples to the argument form known as Hypothetical Syllogism (HS) with indicative conditionals. If my schema for generating counterexamples to HS works as I think it does, then HS is invalid for indicative conditionals.

It is standardly believed that the only way to justify an assertion in the face of a challenge is by making another assertion. Call this claim ASSERTIONS ONLY. Besides its intrinsic interest, ASSERTIONS ONLY is relevant to deciding between competing views of the norms that govern reasoned discourse. ASSERTIONS ONLY is also a crucial part of the motivation for infinitism and Pyrrhonian skepticism. I suggest that ASSERTIONS ONLY is false: I can justify an assertion by drawing attention to something that clearly makes the assertion true, or likely true.

It is sometimes alleged that arguments that probability functions should be countably additive show toomuch, and that theymotivate uncountable additivity as well. I show this is false by giving two naturally motivated arguments for countable additivity that do not motivate uncountable additivity.

Contemporary metaphysicians have been drawn to a certain attractive picture of the structure of the world. This picture consists in classical mereology, the priority of parts over wholes, and the well-foundedness of metaphysical priority. In this short note, I show that this combination of theses entails superatomism, which is a significant strengthening of mereological atomism. This commitment has been missed in the literature due to certain sorts of models of mereology being overlooked. But the entailment is an important one: we must either accept superatomism or reject one (or other) of the most widespread theses of contemporary metaphysics.

Probabilistic theories of ‘‘should” and ‘‘ought” face a predicament. At first blush, it seems that such theories must provide different lexical entries for the epistemic and the deontic interpretations of these modals. I show that there is a new style of premise semantics that can avoid this consequence in an attractively conservative way.