StackExchange Friday: How can time dilation be symmetric?

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I'm going to try to get some regular posts here, but I will never write anything that hasn't already been written, and I will more than likely not do a better job than the author. So rather than attempting it, I'll simply point to it. For your inquisitive mind:

Suppose we have two twins travelling away from each other, each twin moving at some speed v:
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Twin  observes twin ’s time to be dilated so his clock runs faster than twin ’s clock. But twin  observes twin ’s time to be dilated so his clock runs faster than twin ’s clock. Each twin thinks their clock is running faster. How can this be? Isn’t this a paradox?


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