Herodotus, Greek historian [ 484 BC- 425 BC ] considered Father of History.
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Plato was the ancient Greek philosopher who was the focus of study for Italian humanists.
Plato.
The study of Greek and Roman history, culture, art, literature and theatre is called classics.
There are those that study the history of Greek myth as a history of how the culture evolved. Then there are 'Neo Pagans' who likely think they follow Greek gods and goddesses among others. So, the answer is no, they aren't worshiped as they were in the days of Ancient Greece.
They study World History, American History, and Guam History.