Why do cats purr? Why do Cheshire cats grin?
Or, page 7 of the paperback edition of The Straight Dope (1986 edition, at least).
I’m not really so concerned with the “why” part of the question - the utility of a purring mother to a young kitten is obvious, and for the most part, “because they can” is really enough of a reason for me in most other situations when adult cats tend to purr. I find myself making similar sounds in similar situations sometimes, both of contentment and fear/pain. I see that there has been some recent studies that show that the frequency of sound of typical purring is helpful to healing - http://www.animalvoice.com/catpurrP.htm
But, I’m still having a hard time with the “how” - back in 1976, Cecil wrote “Since it’s very difficult to induce a cat to purr while you are examining his hyoid apparatus, the truth may never be known.” Well, since then, all sorts of methods of viewing the inside of a body have been developed - I’m going to avoid the obvious jokes about PET or CAT scans, but has no one ever thought to stick a purring kitty in medical imaging devices? Dope one up on catnip and/or some other kitty drug, so it’s nice and happy and sedate and won’t move, get the owner to pet it and get it purring, and slide it on in to the machine. Or do some sort of modified ultrasound on one of those hairless cats (they’ve got to be good for something). If they can “see” these tiny little tumors with modern medical machinery, can’t they figure out the source of vibrations that are so strong that a blind and deaf newborn kitten can detect?
Personally, purring is what gives cats an edge over dogs in companionship animals. But, if it really does help with healing, the interesting question becomes not so much why cats purr, but why only the feline family has developed such a useful mechanism.