Extended Quantum Logic

The concept of quantum logic is extended so that it covers a more general set of propositions that involve non-trivial probabilities. This structure is shown to be embedded into a multi-modal framework, which has desirable logical properties such as an axiomatization, the finite model property and decidability.     

The problem with descriptive correctness

In the 1980s and early 1990s, the normativity of meaning was thought to be more-or-less ‘incontestable.’ But in the last 25 years, many philosophers of mind and language have contested it in several seemingly different ways. This, however, is somewhat illusory. There is an unappreciated commonality among most anti-normativist arguments, and this commonality, I argue, poses a problem for anti-normativism. The result, however, is not a wholesale rejection of anti-normativism. Rather, an insight from the anti-normativist position can be harnessed to reveal an unappreciated position in the normativity of meaning debate.