30 Jun '16 08:5614 edits

I know the standard theory is that the universe is finite in size but unbounded but, just suppose you were told from a reliable source that the universe is infinite and unbounded and space is infinite in all directions.

Now, does it make any sense to say there might exist, say, a planet, that is literally an

Or does it only make sense to talk about, say, a planet, being a finite distance away from you despite it being correct to say space is 'infinite'?

If it makes no sense to say something can exist literally 'infinitely' far away, what argument can you give to convincingly explain

Also, does it make any sense to say there might exist, say, a planet, that literally an infinite distance from your current location

Also, the direction could be viewed as the direction from point A light must take to take the least amount of time to go from point A to point B; but if A and B are infinitely apart, that light will take an infinite amount of time to get there which I assume is the same as saying it will not ever get there in which case, because the light will not get there from any direction, you have nothing to discriminate between the different directions and thus it is meaningless to say it is in any particular direction, such as 'south'? Does that really make sense?

The reason I want to know is because I discovered it has some relevance to the research I am doing into probability or, to be more specific, some work I am currently doing on a problem of defining the prior probability (assuming that those particular prior probabilities are definable i.e. exists in this case, and I haven't yet worked out that they do ) of there existing at least n number of things in some category c.

Now, does it make any sense to say there might exist, say, a planet, that is literally an

*infinite*distance from your current location?Or does it only make sense to talk about, say, a planet, being a finite distance away from you despite it being correct to say space is 'infinite'?

If it makes no sense to say something can exist literally 'infinitely' far away, what argument can you give to convincingly explain

*why*it makes no sense?Also, does it make any sense to say there might exist, say, a planet, that literally an infinite distance from your current location

*in a particular direction*such a south? You see, I wonder in particular if that is nonsense because when we imagine the direction of something is away from you, we imagine the shortest line, specifically a straight line, that can be drawn from point A to point B and note the direction that line radiates away from point A. But if that something is infinitely far away from A, you cannot imagine that straight line since that line would have to be infinitely long and you cannot imagine infinitely long.Also, the direction could be viewed as the direction from point A light must take to take the least amount of time to go from point A to point B; but if A and B are infinitely apart, that light will take an infinite amount of time to get there which I assume is the same as saying it will not ever get there in which case, because the light will not get there from any direction, you have nothing to discriminate between the different directions and thus it is meaningless to say it is in any particular direction, such as 'south'? Does that really make sense?

The reason I want to know is because I discovered it has some relevance to the research I am doing into probability or, to be more specific, some work I am currently doing on a problem of defining the prior probability (assuming that those particular prior probabilities are definable i.e. exists in this case, and I haven't yet worked out that they do ) of there existing at least n number of things in some category c.