Quote:

**Crowcide**:

You made a positive claim, I asked for evidence. There is nothing nonsensical about that.

Your whole post is incoherent rambling mostly. The reals aren't about events or probability. These things have nothing to do with the construction of the reals, the completeness axiom, or why 1 = .999~.

This whole thread seems to have a theme, non mathematicians ramble some math and say why it doesn't seem like it should be, or how it doesn't jive with their intuition. This is not relevant, this is math. Offer a real formal proof or at least address the proofs you've been given.

To be fair, it was probably a ramble. I am kinda out of it lol.

I don't mean to be mean but I was kinda offended

a) I am a mathematician

b) Intuition is an extremely valuable tool, it helps us be critical, persistent, and able to spot holes in established theories.

Certainly, one should not rely on their intuition, otherwise we suppress valuable math like chaos theory (read Lorenz's first major* presentation(?) on chaos theory; lots of preambles on how it sounds crazy but it *might* be true).

I will not be writing a formal proof for two reasons

1) I am lazy

2) I'm not ready

I only wish to inspire doubt, so I will ask the following question (on a whim, I have not looked at this one thoroughly):

Assume we pick a number A (at random, which is of course beyond human capability)

What was the probability of us not picking that number? If the probability of us not picking that number was 1, was it actually possible for us to pick that number? If it was impossible for us to have picked that number, then how could we pick it in the first place? Is it a contradiction if the probability is 1?

(btw, this might be 75% of a formal contradiction proof, albeit phrased wrong and in question form)

Lastly, in parallel, but slightly unrelated to what was previously stated: If a number exists between two real numbers, is it a real number?

I am sorry, this might not be useful either, and yeah it's probably rambling too (and I spent way too long writing it lol, distractions distractions).

EDIT: *Found out appropriate word was stared out lol.