True, but this is reversed in the FE scenario. The FE version goes:
I assume the angles are equal, therefore the triangles are similar.
Now the only way to prove that the triangles are not similar is to prove that the angles are not equal.
I'm not saying it's a logical fallacy to try and prove they aren't similar, I'm saying it can't be done.
Ahh. I think I see what you're saying.
I assume the earth is flat, therefore there must be a conspiracy.
I assume the angles are equal, therefore the triangles must be similar.
The similarity of the triangles, like the conspiracy, can only be disproved in one way. With it's premise: the angles/fe theory. Good point.
What methods do you propose for deciding if two triangles are similar, without measuring their angles (or checking the ratios of the length of two of their sides, which requires mesurement also)?
Ahh, see, you have just admitted that there is another way to to disprove the similarity, without even discussing the angles. I say that we could do this with the conspiracy too. I could disprove it in some other way.
Now, of course, your point that there's really nothing to measure, and that's fair enough. But if I have two triangles with obviously disproportionate sides, then all I have to do is say: look at the sides! They're obviously out of proportion. Your theory is obviously wrong.
So yeah. Look at this conspiracy! It makes no sense, it would have to be dating back far too long, it has no motive, and there's no evidence whatsoever of it! Isn't that enough! It makes as much sense as the hamsters.
I don't believe hamsters rule the earth because I have no line of reasoning that leads to that conclusion.
Obviously, then, the conspiracy is working exceptionally well.
Now, assume that hamsters do rule the earth. Therefore there is obviously a conspiracy. Please prove there isn't.
See? It's unreasonable. Yet it's what FEers do.
You're right that you only need to prove which theory is more reasonable, but I don't agree that you can do that by proving how logical/illogical the conspiracy is. The conspiracy is simply a consequence of the FE theory.
The more illogical the consequence, the more illogical the theory. If I develop a theory that has a completely illogical consequence, the theory is that much more illogical. If my triangles' sides are obviously out of proportion, it's illogical to assume they are, and it's illogical to assume the triangles are similar.
Additionally, now you seem to be saying I can prove the conspiracy illogical, while before you were saying I couldn't (without first tackling the FE theory).