@Reconstructo,
Reconstructo;130363 wrote:Yes, I'm shining a light on this animal known as "proof" and trying to see whether there's really any difference between it and that less respectable animal "persuasion."
Of course I know the standard supposed differences between the two, but I wonder if "proof" is just ideal of "perfect" persuasion. Geometrical proofs are perhaps that most persuasive statements after tautologies. But do we see them as proofs only because we find them utterly persuasive? What if half of the population didn't find Euclid's "proofs" persuasive? Can someone prove to me that proof is functionally different than persuasion without persuading me?...
Many people are not persuaded by proofs like in geometry, so no, they are not "ideal" or perfect persuasion. If they were perfect persuasion, then everyone, without exception, would be persuaded by them. I have personally met people who believe contradictory things, and they do not care that they are contradictory. Perfect proof is no guarantee of being persuasive.
What is persuasive is, by definition, dependent upon who one is talking about, and what is a proof is not. Persuasion is a matter of psychology, and proof is something altogether different. Proof is persuasive to rational people, which, by the way, is merely a tautology, not an observation about the world. But proof is irrelevant to very irrational people. Yet they can be persuaded of some things.
Your last question involves two things that it may be useful to comment on. First, "prove to" is often used to mean "persuade", so your question amounts to:
[INDENT][INDENT]Can someone persuade me that proof is functionally different than persuasion without persuading me?[/INDENT][/INDENT]
The answer is obviously "no".
The other thing is that talking about the function of something is a different matter than its meaning. In this case, however, it does not matter, because they do not serve the same function, as the example of people believing contradictory things proves. A proof that does not persuade is not performing the same function as persuasion.