means The state of being limitless or endless — a quantity, distance, or duration without any boundary or end.

from From Latin infinitas, 'boundlessness,' built from in- ('not') plus finis ('end, limit, boundary') — the same finis that gives us 'finish' and 'finite.' So infinity is literally the un-finished, the thing with no edge to stop at. The sideways figure-eight symbol (∞) came much later, introduced by an English mathematician in the 17th century; its origin is debated, possibly a variant of an old Roman numeral for a very large number.