[TimT]

Yes

I remember a paradox about an arrow fired at a target. Before the shot it is distance D from the target. At some point, it will be D/2 from the target. At another point, it is (D/2)/2 from the target. You can continue to cut the remaining distance in half, but you never get to the target.

again yes

by definition all rational #s are finite ie they can be expressed as a fraction.

there is no rational # that is not also finite

here's something else to think about, between any 2 rationals #s is an infinite # of irrational #s, the reverse is not true,

Yes.. same is true when measuring something.....

I know it pretty basic calculus... local linearity was something of an eye opener... as x approaches zero.

However x never gets to zero... there are infinite divisions