Funk N. Furter wrote:I said A?A, which I then proved, or rather Trotsky did, with his constantly changing bag of sugar.
Actually, you said that A=A for only an
instant, and then A'=A' and so forth. Trotsky says that your position renders you a sophist: "A sophist will respond that a pound of sugar is equal to itself “at any given
moment” (Trotsky).
So if we are to believe Trotsky, then you're a sophist. You must either renounce your allegiance, or admit to sophistry. There's no 3rd way.
Meanwhile, let's look at Trotsky's claim:
We can posit sets A and !A, as follows:
fig. 1
As it is a logical certainty that everything must either be A or !A, we needn't posit further sets.
When asked to place A into one of these two sets, a person of normal cognitive ability would do as follows:
fig. 2
However, Mr. Fucking Genius Trotsky claims that A is not equal to A, as illustrated thus:
fig. 3
Hence, we are left with but 2 possibilities:
P1. A=!A (See fig 4.)
P2. A doesn't exist (See fig 1.)
As we can readily observe that lots of shit does in fact exist, P2 is clearly false. Hence, we can conclude that Trotsky's claim that A?A is equivalent to A=!A, as illustrated here:
fig. 4
QED
Note: No rainbows were sexually abused in the creation of this post.