A degree or quantity of space
interval, gap, reach, span, range, remoteness, mileage, yardage, footage; see also expanse, extent, length 1, 2.
A place or places far away
background, horizon, as far as the eye can see, sky, heavens, outer space, the blue, far lands, outpost, outskirts, foreign countries, new worlds, other worlds, strange places, distant terrain, foreign terrain, unknown terrain, objective, the country, beyond the horizon, ends of the earth, antipodes, jumping-off place, the beyond, the back of beyond, the sticks*. see also country 1.
Antonyms neighborhood*, surroundings, neighbors.
A measure of space
mile, statute mile, English mile, rod, yard, foot, inch, kilometer, meter, centimeter, millimeter, micrometer, league, fathom, ell, span, hand, cubit, furlong, block, way, ways*, a stone's throw*, as the crow flies*, down the road a piece*, spitting distance*, whoop and a holler*, long haul*; see also inch 1, measure 1, mile.
Aloofness
remoteness, coolness, reserve, restraint; see indifference 1, reserve 2.