The "cardinality" section of that Wikipedia page describes my objection well. I don't doubt the real numbers are not recursively enumerable, but that doesn't mean they have a larger cardinality than the integers.
If you're trolling to troll, then expect the hate because you're being annoying.
If you think you're right and all the mathematicians are wrong, pony up. Hell, you'll have a lot more lulz when you win a fields metal.
If you don't pony up I don't know why you would be surprised people assume you're arrogant. You can doubt the status quo without being arrogant. We both know that you're not going to take someone's word just because they said so, so why expect others?