I listen to a lot of podcasts, and The Infinite Monkey Cage is one of my favorites. Driving to and from work is a little less unbearable when your show is on. On behalf of everyone who’s alive today because your blend of science and humor prevented me from dozing off and crashing into them: thank you.

I was, however, disappointed by your response to ongoing criticism that your program’s title promotes inhumane monkey husbandry practices. Your assertion that an infinite monkey cage would be “roomy” is misleading at best. An infinite cage might be roomy, or it might not. An infinitely tall cylindrical cage would feel pretty cramped if it were only as wide as the monkey inside it. The monkey’s movements would be limited to climbing and spinning. While monkeys are avid climbers, I believe most would find such an environment claustrophobic.

You might think that an infinitely long, infinitely wide cage would have to be better. It wouldn’t. It all depends on the cage-height-to-monkey-height ratio. A nine-inch-long Geoffroy’s tamarin, for example, wouldn’t be happy in an 8.75” high cage. He’d have more freedom to travel, but he’d be forced to maintain an unnaturally stooped posture, leading inevitably to back, neck, and/or hip pain. A veterinarian wouldn’t be able to squeeze into the cage to treat him; your only recourse would be to toss in some ibuprofen-laced bananas and hope for the best. The prognosis would be bleak: monkeys almost never comply with this treatment plan, because ibuprofen-laced bananas taste terrible.

A cage that extends infinitely far in all three dimensions would be roomy – but a solitary monkey in such a cage would be lonely. Monkeys are social animals and can’t handle that kind of isolation, even if you give them iPads and show them how to use Facebook. The obvious solution would be to add an infinite number of monkeys for company, but you’d need to get the density right. If each monkey were a thousand miles from its nearest neighbor, you’d wind up with a desolate cage populated by infinitely many melancholy monkeys. On the other hand, if they were packed in too tightly, the monkeys would begin to get on each other’s nerves. They’d gossip and call each other names, and soon you’d have an all-out infinite monkey brawl on your hands.

Maybe you should start with a finite number of monkeys. That’s all you’d be able to afford anyway, after blowing your budget on cage construction and amenities like gravity, air, and monkey food. If you put a bunch of monkeys in a cage that extends infinitely in all dimensions, then in theory they’d be able to spread out to a comfortable density. But be careful – monkeys can travel only so fast, so if you put too many monkeys too close together, the ones in the center will die of old age before they ever get to experience roominess.

I don’t mean to lecture you. I’m just concerned that some of your more impressionable listeners might take your remarks at face value and wind up constructing poorly-designed, inhumane monkey cages. Perhaps you should consider changing the name of your show to something more socially responsible, like The Sustainable Monkey Habitat.

Image credits: Typing monkey from WikiMedia; spider monkey from Tancread’s flickr stream; sideways-looking monkey from epSos.de’s flickr stream; banana from Wikipedia; delighted mandrill from Chris Arneil’s flickr stream; Klein bottle from Acme Klein Bottle.

Update: A finite number of monkeys respond to this letter in the last few minutes of the July 2 episode (“Does Size Matter?“).