This article deals with the problem of curiosity from the point of view of education and morality. Curiosity raises the triple problem of intruding into the sphere of others, of wandering in the sensuous world and of its relationship to pride and to our desire to know. If it is part of “going out of oneself”, it has a predatory dimension that consists in stealing the secrets of others. In the Augustinian tradition, the moral critique of curiosity is a critique of sensuousness, of the concupiscence of the flesh and of the use of the five senses. To this indiscreet curiosity we oppose, through the example of the philosopher-traveller in Varanasi, India, the surprise curiosity, which participates in an atmosphere, or a situation, without appropriating any form of knowledge or intruding in the sphere of the other. In research, it consists in a good ethical distance like the Aristotelian concept of the Mean.