Information, possible worlds and the cooptation of scepticism

The article investigates the sceptical challenge from an information-theoretic perspective. Its main goal is to articulate and defend the view that either informational scepticism is radical, but then it is epistemologically innocuous because redundant; or it is moderate, but then epistemologically beneficial because useful. In order to pursue this cooptation strategy, the article is divided into seven sections. Section one sets up the problem. Section two introduces Borel numbers as a convenient way to refer uniformly to (the data that individuate) different possible worlds. Section three adopts the Hamming distance between Borel numbers as a metric to calculate the distance between possible worlds. In sections four and five, radical and moderate informational scepticism are analysed using Borel numbers and Hamming distances, and shown to be either harmless (extreme form) or actually fruitful (moderate form). Section six further clarifies the approach by replying to some potential objections. In the conclusion, the Peircean nature of the overall approach is briefly discussed.