Tarantino dedicated his work Saggi Filosofici to the memory of his mentor Fiorentino; in the same year he was assigned the chair of theoretical philosophy.
He started to gain wider recognition thanks to his critical essays published on the journal Rivista di Filosofia Scientifica (by Morselli).
[1] Among his former pupils were Enrico de Nicola and the nobleman Francesco Dentice di Accadia, prefect of Pisa.
In the last part of his life, he returned to his hometown Gravina in Puglia, where he lived in the house of one of his nephews who had the same name and had formerly studied in Pisa under his patronage.
In 1947, Tarantino donated a large part of his collection of books to the library "Ettore Pomarici Santomasi", located in Gravina in Puglia.