On 30 Jun., 23:50, "Mike Terry" > It is not I making the claim, it is you. I just responded to the claims in > your thread, that YOU started. So it is you who have to provide the proof, > not me.
I have provided a proof that there are countably many intervals and as many intervals in the complement. The proof is built upon the continuity of the sliding of endpoints. After rejecting your idea of a function moving the endpoints and leading from countably many intervals to uncountably many intervals, by sliding the endpoints in a completely arbitrary manner, there remains nothing to prove.
I have proved that transfinity is inconsistent unless nonsensical assumptions are made. But such can always be made. For instance you can believe in solipsism. There is nothing to prove or to disprove in unscientific belief like that or matheology.
