Final answer:
The claim that Socrates had little influence on the young Athenian political aspirants is false. He significantly influenced the political thought of his time and had disciples who were deeply involved in politics.
Step-by-step explanation:
The statement that Socrates had little influence among the young men of Athens who were interested in pursuing a political career in the future is false. Socrates, through his method of critical questioning, significantly influenced the political thought of his time. His disciples included notable figures like Alcibiades, and some of his followers even opposed Athenian democracy. Despite being charged with corrupting the youth, his interactions reflected a deep engagement with young men who debated important matters of state and philosophy. Hence, his influence on political aspirants was considerable, contrasting with the idea that he had little impact on the young Athenians' political ambitions.