text: is space infinite?   here's the issue:  the finite mind has no hope of apprehending the infinite.  we can define space "  mathematics. a set of elements or points satisfying specified geometric postulates: non-euclidean space.  the infinite extension of the three-dimensional region in which all matter exists.   the expanse in which the solar system, stars, and galaxies exist; the universe.  the region of this expanse beyond earth's atmosphere.   an extent or expanse of a surface or three-dimensional area: water covered a large space at the end of the valley.  a blank or empty area: the spaces between words.  an area provided for a particular purpose: a parking space.  reserved or available accommodation on a public transportation vehicle.   a period or interval of time.  a little while: let's rest for a space.  sufficient freedom from external pressure to develop or explore one's needs, interests, and individuality: “the need for personal space inevitably asserts itself” (maggie scarf).  music. one of the intervals between the lines of a staff.  printing. one of the blank pieces of type or other means used for separating words or characters.  one of the intervals during the telegraphic transmission of a message when the key is open or not in contact.  blank sections in printed material or broadcast time available for use by advertisers."  this is a defineable term because the finite mind percieves it as a finite entity with physical properties.  space has a potential to either be filled or be empty.  infinity cannot be bounded thus because it is unboundable and therefor indefineable.  if you were to ask is the universe infinite one could only, thoughtfully, respond "no".  this conclusion will be arrived at when the respondant considers that the universe has a definition applied to it and therefore a value that can be discussed and modeled.  you can discuss what is out side the universe, when the universe was created, etc.  not so with infinity.  infinity, as best i can discuss it (which is not very well as i am a finite being), is simultaneously all things existing and all things never existing.  the base problem with my definition is that "things" and "existence" are finite concepts fitting within the bounds of perception.  infinity must be something other than that.  are you beginning to see the issues with a discussion of infinity?  try this one, "infinity is all unthings non-existing".  that's the closest i can get.  give it a shot.  but recognize that anything within the perceivable physical reality isn't infinite.