[FRC4ME]

I recently had a conversation that went something like this:

Student: I refuse to believe pi exists.
Me: Why? Its just like, say, the number 3.
Student: But you can give me 3 apples; you cannot give me pi apples.
Me: So, you're saying for a number to exist, it must be perfectly expressable in terms of apples?
Student: Yes.
Me: Alright, what if I could give you pi apples. Would pi exist?
Student: Yes.
Me: What about pi oranges?
Student: Yes.
Me: Pi circles?
Student: Yes.
Me: How about pi radii of a circle?
Student: I see where you're going, but you'll never get it exact.
Me: You give me a perfect circle, I'll give you a perfect pi of a circle.
Student: Okay, I'll do that. How do I make a perfect circle?
Me: With pi...
Student: Bah! I'll draw a circle close enough, then.
Me: Okay, but my estimate of pi will be only as accurate as your estimate of the circle.
Student: Stop it! You still can't give me pi apples!
Me: I could give you apple pie.
Student: Mmm, pie.
Me: Mmm.