Re: Can any thing be infinite
Posted: Fri Nov 07, 2014 3:48 pm
Audie wrote:Um squib that went over my head, I have no idea what you said.
A potential infinite never gets to infinity but rather approaches it. For example like a non-terminating process such as counting where we add 1 to the previous number, or lets say dividing between two points and then again between those points such that you keep dividing forever.
An actual infinite as a mathematical abstraction could represent the set of all natural numbers.
But lets imagine that an actual infinite number of objects, lets say books could exist. If you take away every second book what are you are left with? Infinity! How many did you take away? Infinity! Now if you add 1? Infinity Subtract 1? Infinity! If you add infinity? Infinity! If take infinity away? Perhaps 0.. but look at what happened when every second one was taken.. Now suppose you take all the books from the 4th one onwards {1,2,3,{4..n}}, now you are left with 3, but what was the count you took away? When it comes to an actual infinite the thing is you could take away equal quantities from equal quantities and end up with anything between 0 and infinity!
Actual infinites truly lead to absurdity, this is one of many reasons why it is believed that an unmoved mover must exist and that time & physical reality/events cannot be "actually" past infinite, or another way of saying it is that a temporally ordered number of events cannot be actually infinite. This conclusion comes from pure reason. (side note: God is different since God is not temporal, especially prior/sans creation. ) This point has been well argued, well before modern science, starting with Aristotle when he differentiated between actual and potential infinites. However independent of that we have good evidence supporting the standard inflationary big bang model which indicates an absolute beginning to time and space (even if there were a multiverse, There are different versions of the multiverse ie: L1, L2, L3). Also the view where people espouse that an actually infinite number of universes exists is demonstrably absurd given the above example (this is usually used as a way to explain away the apparent initial fine-tuning conditions of our observable universe). As such, since actual infinites lead to absurdity it is argued that an actual infinite number of universes cannot possibly exist in principle.
When we say God is infinitely loving for example it is not in the same terms of above, rather it is sort of like saying unendingly loving for example, its a way of describing Gods Love.. Similarly again with infinitely powerful, it is a describing of such a property so to speak, but not meant in the above terms. It's hard to express this because words don't easily convey what we are trying to say. As such in terms of God it can only be analogously explained..