Final answer:
Socrates' extensive writings on philosophy were not the basis of all subsequent ancient Greek philosophy.
Step-by-step explanation:
False. Socrates never wrote anything down, and his beliefs and arguments were recorded by his student Plato. Socrates challenged the sophists and emphasized the importance of questioning oneself to arrive at essential truths about morality and ethical conduct.
While Socrates' ideas and teachings had a profound impact on ancient Greek philosophy, it was Plato's writings that served as the basis of subsequent philosophical developments.