It's annoying to remember the grammar rule for quantities that dictates
when to use *many* vs. *much*, *fewer* vs. *less*, etc.

Shockingly enough, knowing the concept of countability in math makes it easy. Or as easy as English can be, anyway.

## Countable

Bijection with (not necessarily proper) subset of natural numbers, $$\mathbb{N}$$.

## Uncountable

Not in bijection with a subset of the natural numbers.

## Heuristic for telling which one without rigorous proof

Think *discrete* vs. *continuous* quantities.

## Examples

|-----------+-------------| | countable | uncountable | |-----------+-------------| | many | much | | fewer | less | |-----------+-------------|