The symbol for infinity is a sideways figure '8', like so: ∞
Going by the XY axes, regular '8' is vertically oriented, two loops enclosing the space directly above and below its epicentre.
Notice, then, that the space beside the epicentre is completely unbound.
That IS infinity, as that space extends beyond the figure '8' forever.
So to symbolize the concept of endless space, we use '∞', representing the space remaining unbound by the closed loops of the '8'.
And because ∞ aligns with the X axis, and if we take the intersection of XY as 0, infinity extends towards the right as positive numbers, and towards the left as negative numbers.
'∞' is clearly a well-though out, and exquisitely designed symbol for infinity... as long as we accept the symbol '8' to represent the concept of 'eight'.