Distributing probability over non-determinism

Physical Probability

By “physical probability” I mean the empirical concept of probability in ordinary language. It can be represented as a function of an experiment type and an outcome type, which explains how non-extreme physical probabilities are compatible with determinism. Two principles, called specification and independence, put restrictions on the existence of physical probabilities, while a principle of di...

Non-deterministic approximation of photon number discriminating detectors using non-discriminating detectors

We present a scheme for non-deterministically approximating photon number resolving detectors using non-discriminating detectors. The model is simple in construction and employs very few physical resources. Despite its non-determinism, the proposal may nonetheless be suitable for use in some quantum optics experiments in which non-determinism can be tolerated. We analyze the detection scheme in...

Semanti Domains for Combining Probability and Non-Determinism

Resource-Distribution via Boolean Constraint (Extended Abstract)

Proof-search (the basis of logic programming) with multiplicative inference rules, such as linear logic's R and OL, is problematic because of the required non-deterministic splitting of resources. Similarly , searching with additive rules such as NL and R requires a non-deterministic choice between two formulae. Many strategies which resolve such non-determinism, either locally or globally, are...

Probability, Modality and Triviality

Many philosophers accept the following three theses: (1) that probability is amodal concept; (2) that, if determinism is true, therewould still be objective modal facts; and (3) that if determinism is true, there are no genuine objective probabilities (chances). I argue that these 3 claims are inconsistent, and that their widespread acceptance is thus quite troubling. I suggest, as others have,...