Plasma_Wolf wrote:So the cat is indestructible, which is a fatal flaw for Schrödinger's experiment.
It is well known that cats have nine lives.2.
Administering one fatal dose of poison (D) will only expend one of the cat's lives.3.
Hence, in order to actually kill the cat, you need nine fatal doses (9D)4.
Therefore a cat can be killed with a dose of 9D5.
Hence the fatal dose for a cat is 9D, by definition of fatal dose.6.
But cats have nine lives...7.
By induction, the fatal dose for a cat is infinite.8.
An infinite amount of poison would occupy an infinite volume.9.
Hence any finite size of vial will not contain a fatal dose.10.
Therefore, the cat is indestructible.
Pretty sure the logic doesn't hold up between lines 5 and 6. You're using "kill" and "actually kill" as separate ideas. In line 2, you're talking about removing one life of the cat. In lines 4 and 5, you're talking about removing all the cat's lives. But when you get to line 6 you conflate the two ideas. Put differently, it seems like when you say a cat has nine lives, for each of those lives, you don't consider it used until the cat has used 9 lives, and so on recursively.
I think it's more like if you kill a cat, it comes back as a ZombieCat. If you kill a ZombieCat, it comes back as a ZombieZombieCat (a.k.a. a (Zombie)2
Cat). A killed (Zombie)2
Cat comes back as a (Zombie)3
Cat, and so on. But when you kill a (Zombie)8
Cat, it stays dead. Depending on the mechanics of kitty-reanimation, the 9D dose of cat poison may need to be administered serially to each iteration of zombiehood.
I'm 90% sure that the proof was meant to have an obvious flaw, but I thought the idea of 9 lives implying infinite kitties was cute, so I wanted an excuse to draw attention to it again.