Auke Montesano Montessori

In this paper, I argue that mental types can overlap. That is, one token mental state can be multiple types. In particular, I argue that a perceptual experience can simultaneously be a belief. This does not imply that belief and experience are type-identical, they merely share some of their tokens. When a subject perceives with content _p_, that content is usually accessible to the subject. By endorsing _p_, whether automatically or consciously, the subject comes to believe that _p_. In this instance, the perceptual experience, while retaining its content and phenomenology, becomes a belief. The possibility of this kind of overlap turns out to have epistemic benefits, especially in the face of arguments by Alex Byrne and Kathrin Glüer. I consider several objections to overlap, including the idea that perception and belief have different kinds of content, that beliefs tend to outlast experiences and differences in phenomenology.

Strict finitism is the position that only those natural numbers exist that we can represent in practice. Michael Dummett, in a paper called Wang’s Paradox, famously tried to show that strict finitism is an incoherent position. By using the Sorites paradox, he claimed that certain predicates the strict finitist is committed to are incoherent. More recently, Ofra Magidor objected to Dummett’s claims, arguing that Dummett fails to show the incoherence of strict finitism. In this paper, I shall investigate whether Magidor is successful in preventing Dummett from proving the incoherence of strict finitism. Though not all the counterarguments Magidor presents are successful, she does in the end manages to corner Dummett. There remains a small opportunity for Dummett to insist on the incoherence of strict finitism, but this is a very small opening. The final conclusion of this paper is that Dummett cannot logically prove the incoherence of strict finitism, even though not all hope is lost.