Here's how it breaks down:
* "You": Refers to the person you are disagreeing with.
* "beg": Implies a respectful and polite disagreement.
* "to differ": Means to have a different opinion.
Example:
Person A: "I think that's the best way to do it."
Person B: "You beg to differ, but I believe there's a more efficient method."
Essentially, "you beg to differ" is a softer and more nuanced way of saying "I disagree" or "I think you're wrong." It shows respect for the other person's opinion while still stating your own.