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by seanhunter
970 days ago
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> Prospective theorems are not theorems until a proof is presented. At which point they become retrospective theorems. ... > The presence of a counter-example to Sean Hunter's "theorem" simply demonstrates that it's not a theorem. It's a misnomer. That is what I said. I showed a mathematical statement and I showed how you could falsify it. Since you said "mathematics is not falsifiable" I have shown your statement is not true. Do you see why? You were the one who decided that the distinction between conjectures and theorems is important. I have now shown two examples of mathematics that was falsified. Unless you're trying to say neither me nor Euler was a mathematician in which case we can agree about me but not about Euler. |
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>That is what I said. I showed a mathematical statement and I showed how you could falsify it. >Since you said "mathematics is not falsifiable" I have shown your statement is not true.
You have taken it upon yourself to interpret "Mathematics is not falsifiable" as broadly as needed in order to confirm your own biases; and then proceeded to attack a strawman instead of a steelman. That's the lack of charity...
>You were the one who decided that the distinction between conjectures and theorems is important.
And you were the one who decided that it isn't; so you falsely equated them.
What you have demonstrated is the falsification of the statement "X is a theorem"; not the falsification of "mathematics is not falsifiable." - a hasty generalization fallacy.
Which doesn't demonstrate anything of import or relevance whatsoever. Obviously a non-theorem is not a theorem. This is no more interesting than demonstrating that non-Mathematics is not Mathematics.
This in no way diminishes or falsifies my own claim that theorems are unfalsifiable! And neither is Mathematics.
Because if you do falsify it - then it was never a theorem. By definition. Theorems are true, not false. A false theorem is a contradiction in terms. A misconception. An error in reasoning.
Maybe Euler wasn't a Mathematician either. Who knows? Those sort of questions are undecidable.