Scientific inquiry possibly shares with people's ordinary understanding the same evolutionary determinants, and affect-laden intuitions that shape moral judgments also play a decisive role in decision-making, planning, and scientific reasoning. Therefore, if ordinary understanding does differ from scientific inquiry, the reason does not reside in the fact that the former (but not the latter) is endowed with moral considerations.

An attention shift from a stationary to a changing object has to occur in feature space, in order to bind these stimuli into a unitary percept. This time-consuming shift leads to the perception of a changing stimulus further ahead along its trajectory. This attentional framework is able to accommodate the flash-lag effect in its multiple empirical manifestations.

The Hilbert space formalism is a powerful language to express many cognitive phenomena. Here, relevant concepts from signal detection theory are recast in that language, allowing an empirically testable extension of the quantum probability formalism to psychophysical measures, such as detectability and discriminability.