2 + 2 does not always equal 4. Did you even read the link I provided?

I did.

The article talks about Nominal, Ordinal, Interval and Ratio scales.

Using last two scales, Interval and Ratio, 2 + 2 IS 4.

Using first two scales, Nominal and Ordinal, addition operation. "+" is not defined on those two scales.

(Just as you don't have defined operation of addition on set of lemmings, even if they stand in line and you name them using combinations of digits.)

Statement using "+" can not be associated with (applied to) Nominal or Ordinal scales. Therefore, Nominal or Ordinal scales can't be used to prove that 2+2 is something other than 4.

Maybe there's some other universal set of values with defined "+" operation, where 2+2 is something new?

(But here I would like to point out that in general use operation "+" is defined on set of values, not on set of numbers.)

EDIT: Found it:

"When 50 milliliters of water are added to 50 milliliters of alcohol, the volume of the two mixed together is only about 96 or 97 milliliters.

When mixed together, the combined molecules fit together better than when they are alone, so they take up less space. Water and ethanol mix to form a solution."

So, 2 ml of water + 2 ml of alcohol gives 3.84 to 3.88 ml of solution. Not 4 ml.