Gorgias's primary occupation was as a teacher of rhetoric. According to Aristotle, his students included Isocrates. (Other students are named in later traditions; the "Suda" adds Pericles, Polus, and Alcidamas, Diogenes Laërtius mentions Antisthenes, and according to Philostratus, "I understand that he attracted the attention of the most admired men, Critias and Alcibiades who were young, and Thucydides and Pericles who were already old. Agathon too, the tragic poet, whom Comedy regards as wise and eloquent, often Gorgianizes in his iambic verse"). Additionally, although they are not described as his students, Gorgias is widely thought to have influenced the styles of the historian Thucydides, the tragic playwright Agathon, the doctor Hippocrates, the rhetorician Alcidamas, and the poet and commentator Lycophron.