- February 9th, 2020, 7:45 am
#348655
I have heard it argued that, mathematically, in an infinite universe, whatever can be true must be true. So, in an infinite universe my red dragon Bluebell, mentioned earlier, must exist. I find that counter-intuitive. My philosophy will not allow Bluebell. I will accept no more absurdity than I must. There’s too much of it already. Some here, find the idea of a finite space equally absurd and will not allow it for similar reasons (counter-intuitive). However, if space is just conceived as an infinite largely empty void, the possibility of which I think some of you are arguing for, it can (must?) still contain a finite number of objects. So we must be careful not to be misled by the way some mathematical arguments are presented. I think the “infinite empty space” philosophy (Gater is specific about his view here) allows that there are not an infinite number of Bluebells and not necessarily even one Bluebell.
I am not forced to accept an infinite universe by my philosophy though. But I am clear it does not show the infinite space view must be wrong. It is tempting to argue that a difficulty for that position is that the experimental evidence supports the admittedly weird idea that space is something and not just a void. For example, space as substance explains the motion of the planets, gravitational lensing, and the recent detection of gravity waves. This is not bad science. We are left arguing about the interpretation of the data. I think if we can find another way to explain these findings it might give the infinite empty space argument more force, though, again, if we can’t it doesn’t mean it must be wrong either.
It is very hard to imagine the ”what is north of the North Pole” kind of nothing proposed by Hawking. We want to imagine it as a void. But that is not what he was suggesting. There is literally nothing there, no void, to be imagined. Is this something that cannot be countenanced? If so, is this a failure of logic or a failure of imagination? I think that may be the nub of the issue.
I do not think the notion of “no void” can be shown to be logically mistaken. It may be that in our observable universe space is substance that is curved and closed so that we cannot get outside of it and it is sensible to think of time and space as having a beginning. Maybe, it really is all there is. But if space as void is infinite, we cannot generalise from our knowledge of the infinitely small part of it that we can observe to make firm statements about the rest. Logically there may be other miniverses, these may stand in some kind of (unknowable) relationship to each other, in which case the notion of a void that allows for such relations seems to have some merit. Whether that void is infinite seems beyond the ability of our logic and experience to provide definitive answers. Maybe we are in a black hole within a bigger black hole etc. like some set of awesome Russian dolls. May there is a final largest black hole beyond which there is Hawking’s nothing. Maybe it’s just black holes all the way down. I need a drink now.