He then traveled to Nîmes to study philosophy under David Derodon, a partisan of the atomism of Pierre Gassendi.

In Geneva, Chouet carried out experiments and published results on the action of snake venom, on the variation in a barometer's reading associated with changes in elevation, on the operation of a siphon, and on magnets.

Among Chouet's students were the astronomer and mathematician Nicolas Fatio de Duillier, as well as polygraphs Pierre Bayle and Jean Leclerc.

In 1686 he resigned from his professorship at the Académie de Genève and took up a place in the Council of Twenty Five, a self-appointing executive body that exercised most of the actual power of government in the then-independent Geneva.

[1] Chouet played a key role in the educational reforms of the Académie de Genève, introduced in 1701 and 1704 by the initiative of Jean-Alphonse Turrettini.

He modernized the instruction within the Académie and helped to enlarge and organize the Bibliothèque de Genève, opening its collection to the general public.