Cutting Corners: A Critical Note on Priest’s Five-Valued Catuṣkoṭi

Graham Priest has offered a rational reconstruction of Buddhist thought that involves, first, modeling the Catuṣkoṭi by a four valued logic, and then later adding a fifth value, read as “ineffability”. This note examines that fifth value and raises some concerns about it that seem grave enough to reject it. It then sketches an alternative to Priest’s account that has no need for the fifth value

Lord Nicholls on the likelihood of crimes

In the decision to the British appeals case Re H (Minors), Judge Lord Nicholls, talking about criminal behavior, stated that that the more serious the allegation the less likely it is that the event occurred. There is actually quite a bit of discussion about the conclusions that should be drawn from this observation in the literature, but I have not found much discussion of the question whether the observation is right. I find this surprising, and in this essay I want to inspect this question

The Stories of Logics

In this paper, I investigate how far we can use stories to learn about logic. How can we engage with fiction in order to come to find out what logical principles are actually valid? Is that possible at all? I claim that it is, and I propose two case studies to make the point

Ineffability, Emptiness and the Aesthetics of Logic

In this essay, I explore the nature of the logical analysis of Buddhist thought that Graham Priest has offered in his book The Fifth Corner of Four (5of4). The paper traces the development of a logical value in- troduced in 5of4, which Priest has called e. The paper points out that certain criticisms I have made earlier still stand, but focuses on a recon- ceptualization of 5of4 in which these arguments carry less weight. This new perspective on the book, inspired by a response to my arguments by Priest himself, sees the logical analysis of Buddhism as aiming more for an allegorical, suggestive and aesthethic endeavour, rather a purely analytical one. I illustrate this view by focusing on the Ox herding pictures, as interpreted by Priest and Ueda Shizuteru, and I compare it to ideas in the discussion around Critical Buddhism

Humble Connexivity

In this paper, I review the motivation of connexive and strongly connexive logics, and I investigate the question why it is so hard to achieve those properties in a logic with a well motivated semantic theory. My answer is that strong connexivity, and even just weak connexivity, is too stringent a requirement. I introduce the notion of humble connexivity, which in essence is the idea to restrict the connexive requirements to possible antecedents. I show that this restriction can be well motivated, while it still leaves us with a set of requirements that are far from trivial. In fact, formalizing the idea of humble connexivity is not as straightforward as one might expect, and I offer three different proposals. I examine some well known logics to determine whether they are humbly connexive or not, and I end with a more wide-focused view on the logical landscape seen through the lens of humble connexivity

The Stories of Logics

In this paper, I investigate how far we can use stories to learn about logic. How can we engage with fiction in order to come to find out what logical principles are actually valid? Is that possible at all? I claim that it is, and I propose two case studies to make the point