Final answer:
The Greek philosophy that values pleasure as the greatest good and supports personal agency in determining one's fate is Hedonism, specifically the variant advocated by Epicurus known as Epicureanism. It focuses on a life of moderation and virtue to attain ataraxia and ultimately aims for eudaimonia, or flourishing.
Step-by-step explanation:
The Greek philosophy that states pleasure is the greatest good and that man should make his own fate is known as Hedonism, particularly the form taught by Epicurus. Epicurus's Hedonism, also known as Epicureanism, emphasizes not the indulgence in physical pleasures but the pursuit of a life of moderation, virtue, and philosophy resulting in mental and emotional tranquility or ataraxia. This philosophy sought to reduce pain and increase pleasure, but it did so within the context of leading a virtuous and contemplative life. It differs from the momentary and bodily pleasure; instead, it is about leading a fulfilling life by achieving inner peace and contentment. The goal was eudaimonia, commonly translated as 'flourishing' or 'happiness', which is achieved by living in a way that fulfills one's potential and practicing virtues that are proper to human nature.