The Molyneux question asks: would a blind person, who knows spheres and cubes only from touch, be able to recognize these shapes visually immediately upon becoming sighted, without touching them? Molyneux himself answered no. Locke accepted Molyneux’s negative answer. But Locke’s answer appears inconsistent with the doctrine of common sensibles, according to which some ideas are given in more than one sense modality. Motivated by alleviating this tension, philosophers have put forth several interpretations of Locke’s views on shape perception. Here (...) I motivate a novel interpretation of Locke that can better resolve the tension. (shrink)

The paper presents, a new large deviations principles (SLDP) of non-Freidlin-Wentzell type, corresponding to the solutions Colombeau-Ito’s SDE. Using SLDP we present a new approach to construct the Bellman function ????(????, ????) and optimal control ????(????, ????) directly by way of using strong large deviations principle for the solutions Colombeau-Ito’s SDE. As important application such SLDP, the generic imperfect dynamic models of air-to-surface missiles are given in addition to the related simple guidance law. A four, examples have been illustrated proposed (...) approach and corresponding numerical simulations have been illustrated and analyzed. Using SLDP approach, Jumps phenomena, in financial markets, also is considered. Jumps phenomena, in financial markets is explained from the first principles, without any reference to Poisson jump process. In contrast with a phenomenological approach we explain such jumps phenomena from the first principles, without any reference to Poisson jump process. (shrink)