Varieties of contextuality based on complexion, quantum probabilities, and structural non-embeddability

Contextuality can either be synthetically defined in terms of outcome conditionality on the measurement conditions, or in terms of non-classical probability distributions. Another logico-algebraic strong form of contextuality characterizes collections of quantum observables that have no faithfully embedding into (extended) Boolean algebras. Any of these forms indicate a classical in- or underdetermination that can be termed value indefinite, and formalized by partial functions of theoretical computer sciences. he term contextual by indeterminate or value indefinite in the spirit of partial functions of theoretical computer sciences.