While there he published in 1632 a lecture on Vesuvius and on the causes of the earthquake, and in 1635 a treatise on the color green, which he dedicated to Isabel Henriques, who was celebrated in the academies of Madrid for her intellect, and who lived later in Amsterdam.
[citation needed] Aside from the works already mentioned, Cardoso published a comprehensive treatise on cosmogony, physics, medicine, philosophy, theology, and natural sciences, printed at Venice in 1673 under the title Philosophia Libera in Septem Libros Distributa, and dedicated to the doge and senate of that city.
In this work, which critically discusses the various philosophical systems, he appears as a decided opponent of the Kabbalah and of the pseudo-Messiah Sabbatai Zevi, of whom his brother Miguel was an adherent.
In ten chapters he emphasizes the "excelencias" (distinguishing features) of the Jews, their selection by God, their separation from all other peoples by special laws, their compassion for the sufferings of others, their philanthropy, chastity, faith, etc.
; and in ten other chapters he refutes the "calunias" (calumnies) brought against them; viz., that they worship false gods, smell badly, are hard and unfeeling toward other peoples, have corrupted Scripture, blaspheme holy images and the host, kill Christian children and use the blood for ritual purposes.