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The eyelashes look good! Finch was implying it was him who hacked the first internet. I enjoyed this episode for the Finch/Fusco change up. Caleb was technically going to be victim and perpetrator for a twist on the usual either/or. Carter did look good as she was breaking all the rules for Reese.

Suzanne Hunt

I love this show! I have finally caught up! Luke Kleintank (Caleb) is a great actor. He plays one of the reacurring interns on Bones and is now the main agent on FBI International! I love how by-the-book Carter is willing to break all the rules to protect Reese!

igor.kh

Great episode! I had forgotten how many so-so episodes there were in the first half of Season 2. While many of the episodes did some character or background development, for me, the real standouts have only been Contingency/Bad Code (2x01/2x02 - Root episodes), Critical (2x07 - the one with the surgeon) and 2πR (this one). BTW, the title is pronounced "two pi R", with the Greek letter π (pi) referring to the mathematical constant; it represents the length of the circumference of a circle of radius R. It is a reference to the metaphor that Finch uses at the end to convince Caleb not to kill himself ("the world doesn't have any extra pieces, like a complete circle"). I love how, right from the start, despite sitting in prison, John's only concern is how Finch is going to deal with new numbers, which never stop coming. To me it shows how committed he is to his new purpose in life, contrasted with how lost he felt at the beginning on the show. The stuff with Carter sneaking around to tamper with the evidence on John was fun, but less believable. That level of commitment is beyond what we've really seen from her. The bits of math and computer code that we saw on screen were well done and looked authentic. Other shows that don't care about details as much would have just shown some barely convincing gibberish. There's a funny goof. When Finch writes the first math formula on the blackboard it's incomplete. But when we see the paper that Caleb crumpled and threw away, the formula there for adding up the numbers from 1 to 100 is complete and correct. They probably didn't want to bother Michael Emerson to do another take just to get the formula right. :-) The case story was really strong, with the resolution not obvious until more than half-way through the episode. It's interesting that The Machine could pick up on premeditated danger of self-harm. From time to time, we hear that all the data that our devices collect about us could be used for medical purposes, like for example picking up one someone's depression or suicidal tendencies. AFAIK, this idea hasn't really been successfully implemented, so it remains in the realm of science fiction. POI picked up on this idea quite early on. This is one of the many ways that the show goes beyond just a "vigilante procedural". Now a little bit of philosophy. Let me do a bit better than Finch to answer: Why is math useful? Forget about the obvious basic numerical literacy for a moment. What is more important to note is that math is beautiful. Like any beauty, it is subjective to the beholder. Some don't see it, but others get captured by it. Inadvertently, learning enough math to appreciate its beauty gives you a powerful tool. And just like with a hammer, this tool makes you see (rightly or wrongly) many problems as mathematical nails. When used rightly, this tool can lead to miraculous results, like for example sending audio and video from any point of the globe to another over the internet. Some modern technology looks like magic, but magic whose techno-spells and incantations anyone can learn with enough time and effort. Like any magic it requires a price. And that price is math! :-)