It is said (2 + 2 = 4) is always true. Yet this is not true at all. At least under the current mathematical construct. For example....
2 tiny apples plus 2 tiny apples equals 4 tiny apples.
2 large apples plus 2 large apples equals 4 large apples.
If you think these two sets, are the same 4 apples....then ask a starving man. He will point out to you the difference.
So then to fix this problem we must assign dimensional quantities to abstract numbers. The same way we assign dimensional units to concrete numbers.
All abstract numbers....should be assigned an abstract quantity of dimension.
2 tiny apples plus 2 tiny apples equals 4 tiny apples.
2 large apples plus 2 large apples equals 4 large apples.
If you think these two sets, are the same 4 apples....then ask a starving man. He will point out to you the difference.
So then to fix this problem we must assign dimensional quantities to abstract numbers. The same way we assign dimensional units to concrete numbers.
All abstract numbers....should be assigned an abstract quantity of dimension.