Question

what are the numbers between -3 and -4. Are the numbers integers?

Answer 1

DENSITY OF THE REALS

The false picture of the reals as a “row of points” suggests that to the right of each real number is the “next” real number That is wrong: The points on the real line are dense, meaning that the real line has no gaps. More precisely:

Between any two distinct points on the real line is an infinite number of other points.

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There are infinitely many real numbers between -3 and -4. There are no integers less than -4 AND greater than -3.

@kinijean
http://www.abstractmath.org/MM/MMRealDensity.htm