What do you mean you are not familiar with that mathematical form? If Peter is removed from Hilberts hotel, then Hilbert’s hotel is still full, but there is a diffrenc between the two sets in that one contains Peter and the other doesn’t.
I am not familiar with any mathematical form that allows you to subtract 1, 2, 3 or more members in order to create a “different” infinity from the one from which the members are subtracted… Do such infinities have transfinite numbers?
I am starting to believe that you do not have a full understanding of the nature of infinity. Do you realize that it is the nature of infinity that the parts are equal to the whole. It is easily shown that the set of odd integers is equal to the set of all integers.
Consequently, if we remove the number “2” and the number “3” from the infinite set , we are still left with an infinite set of numbers. Likewise if we remove two people from an infinite set of people, no matter what their names, in the same way the “2” and “3” are names, there is still an infinite set of people. Names are superfluous.
What we are talking about is the immutabilty of God. The nature of God that guarantees His immutability is infinitude. You can not change God’s infinitude because you cannot change infinity by subtraction of members whether or not the members are people or points of space.
I know the concept of infinity is not easily grasped. Cantor himself ended up in an asylum, so I understand how you might have confused “is different” with “it has changed” when referring to the infinite.
Objective rality could be constructed from discrete space I guess, but not if what/whoever created objective reality is immutable.
That is true except if the what/whotever is infinite.
I see we have come to an impass, you are going to insist the infinite can be changed therefore cannot be a property that guarantees immutabilty and I take an opposite view, an infinite cannot be changed by simple addtion, subtraction, or multiplication; only by exponentiation.
I know I have mathematics on my side, God only knows where your ideas are coming from.
Yppop