Graham Clay

Kant's theory of cognition centrally builds on his conception of self‐consciousness and the transcendental use of the phrase “I think”: the ability to add the phrase “I think” to a representation is a necessary condition of the ability to cognize objects. The paper argues that “I think”, rather than denoting the content of a predicative judgement, is typically an expression of the subject's thinking. It expresses a kind of self‐consciousness that, without assertively representing the subject itself, indicates that representational contents are unified in a single consciousness of a single subject. Our aim is thus to develop and defend an expressivist interpretation of Kant's “I think”.

This paper examines the role of reason in Shepherd's account of acquiring knowledge of the external world via first principles. Reason is important, but does not have a foundational role. Certain principles enable us to draw the required inferences for acquiring knowledge of the external world. These principles are basic, foundational and, more importantly, self‐evident and thus justified in other ways than by demonstration. Justificatory demonstrations of these principles are neither required, nor possible. By drawing on textual and contextual evidence, I will show that Shepherd should have said that we know the first principles of any science, in general, and that “everything which begins to exist must have a cause”, in particular, via intuition, not via reason. Reasoning about such principles can help their self‐evidence shine through in certain cases; their justification, and our being justified in believing them, does not come from this reasoning, however.

This essay considers the implications for the powers metaphysic of the no-successor problem: As there are no successors in the set of real numbers, one state cannot occur just after another in continuous time without there being a gap between the two. I show how the no-successor problem sets challenges for various accounts of the manifestation of powers. For powers that give rise to a manifestation that is a new state, the challenge of no-successors is similar to that faced on Bertrand Russell's analysis by causal relations. Powers whose manifestation is a processes and powers that manifest through time are challenged differently. To avoid powers appearing enigmatic, these challenges should be addressed, and I point to some possible ways this might be achieved. A prerequisite for addressing these challenges is a careful focus on the nature and timing of the manifesting and manifestation of powers.

I present a cumulative case for the thesis that we only know propositions that are certain for us. I argue that this thesis can easily explain the truth of eight plausible claims about knowledge: (1) There is a qualitative difference between knowledge and non-knowledge. (2) Knowledge is valuable in a way that non-knowledge is not. (3) Subjects in Gettier cases do not have knowledge. (4) If S knows that P, P is part of S’s evidence. (5) If S knows that P, ~P is epistemically impossible for S. (6) If S knows that P, S can rationally act as if P. (7) If S knows that P, S can rationally stop inquiring whether P. (8) If S knows each of {P1, P2, … Pn}, and competently deduces Q from these propositions, S knows that Q. I then argue that the skeptical costs of this thesis are outweighed by its explanatory power.

Shepherd’s argument against Hume’s thesis that an object can begin its existence uncaused has received short shrift in the secondary literature. I argue that the key to understanding that argument’s success is understanding its dialectical context. Shepherd sees the dialectical situation as follows. Hume presents an argument against Locke and Clarke the conclusion of which is that an object can come into existence uncaused. An essential premise of that argument is Hume’s theory of mental representation. Hume’s theory of mental representation, however, is itself implausible and unsupported. Therefore, one need not accept this premise or this conclusion. Thus, Shepherd proceeds to her discussion of the relation of cause and effect free to help herself to the thesis that every beginning of existence must have a cause. Additionally, she elsewhere pays down the debt she incurs in that argument by presenting her own alternative theory of mental representation, which is both plausible in its own right, and can account for the error that she takes Hume to make.

The relation between Hume’s constructive and skeptical aims has been a central concern for Hume interpreters. Hume’s two definitions of ‘cause’ in the Treatise and first Enquiry apparently represent an important constructive achievement, but this paper argues that the definitions must be understood in terms of Hume’s skepticism. The puzzle I address is simply that Hume gives two definitions rather than one. I use Don Garrett’s interpretation as a foil to develop my alternative skeptical interpretation. Garrett claims the definitions exhibit a general susceptibility to two kinds of definition that all “sense-based concepts” share. Against Garrett, I argue that the definitions express an imperfection Hume finds only in our concept of causation. That imperfection is absent from other sense-based concepts, and prompts skeptical sentiments in Hume’s conclusion to the Treatise’s Book 1. I close by comparing my interpretation with those of Helen Beebee, Stephen Buckle, Galen Strawson and Paul Russell.

Dutch book arguments have been applied to beliefs about the outcomes of measurements of quantum systems, but not to beliefs about quantum objects prior to measurement. In this paper, we prove a quantum version of the probabilists' Dutch book theorem that applies to both sorts of beliefs: roughly, if ideal beliefs are given by vector states, all and only Born-rule probabilities avoid Dutch books. This theorem and associated results have implications for operational and realist interpretations of the logic of a Hilbert lattice. In the latter case, we show that the defenders of the eigenstate-value orthodoxy face a trilemma. Those who favor vague properties avoid the trilemma, admitting all and only those beliefs about quantum objects that avoid Dutch books.