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2+2=4...
If the numbers are just measures of units and have no properties, then they must have an associated unit. If they don't, then they cannot be a measure of anything; which means the definition of the numbers is false; which means that which you wrote does not exist. So those numbers must have a a 'default', universal unit that allows them to exist or else your proof that 2+2<>4is invalid because it is grounded in a false truth that the numbers are indeed a measure of something.
The only constant unit(by your definition) is distance. Inches, feet, yards, milimeters, or nanometers; the numbers are implied to be a measure of distance unless another unit is otherwise specified.
Therefore 2 + 2 = 4.
Wow...I needed this. Talk about a brain excercise...
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