True or false? -
emw and I go to the zoo to see a newborn panda. It turns out that the one-day old panda has a head that is an absolutely perfect circle (from some particular direction, of course). We brought along a magic infinite-precision ruler/calculator. I measure the circumference to infinite precision. emw then measures the diameter to infinite precision. We press the divide key to divide the measured circumference by the measured diameter, again to infinite precision. Although we can't see the full result in the display, we've computed the exact value of pi.
If the claim seems plausible, it might be because it's true. Or, since I admitted that I'm sneaky, there might be something subtle that's wrong with it. Or, I might be double-sneaky and I wanted you to waste your time looking for something sneaky. Or I could be triple-sneaky and pointing this out to confuse you! In any case, the question stands.