Recent content by ATAUD

I have been thinking about aleph null for some time. Especially about the probability of the diagonal only fulfilling 1/10 different possibilities. I came to the conclusion that this is true yet only for the way we quantify. .12814823842197512941... .16549821975219849124...

So basically you can make an infinite amount of different lists of reals, and you can always get a real which wouldn't be on the list, which is aleph null, and therefore it's sensical to think that all the aleph nulls could be arranged in an order by using a graph, reasonable! But hang on a...

Pehaps infinity doesn't have a value whatsoever, yet if that's the case I don't know why omega would play in the game before ever reaching absolute infinity without it being an assumption of the order of infinity. If there exist 9 different possibilites after a number in the sequence...

Correct me if I'm wrong, but what I understood with your arguments is that the diagonal has a next number, the next number has 9 different possibilites or 10 if we include zero, no matter the list, the number that goes after that number can't fullfill those 9 possibilites at the same time. Yet I...

The diagonal is a real number that tends to infinity, that's why I assumed it would be treated the same as infinity. Yes when I was talking about the cardinality I was referring to 1-1 correspondance. The diagonal is not changed, instead it was copied and changed, therefore it was changed. My...

I am very open minded and I would fully trust in Cantor's diagonal proof yet this question is the one that keeps holding me back. My question is the following: In any given infinite set, there exist a certain cardinality within that set, this cardinality can be holded as a list. When you change...