Yin and yang have different properties. However they also unite together, complete each other and would not exist without each other. Therefore they are one.
This is a reversal of an earlier claim, made by you, that different regions of space could not have different properties. No one has argued that things can't compose to have an emergent identity. It was you who would deny a tire is still a tire when it got bolted onto a car (because now "it is one" with the car). Do you reject the earlier claim or have you misstated your new position? If it's the former then great, you now have an ontological foundation for, well, basically anything and everything. If it's the latter then you still have an a totally batty position that's basically nihilism.
When we get right down to it you're just telling me I shouldn't do math because I see the world differently then you, but you're wrong. It is not impossible to see the world in more than one way.
I never claimed you can only see the world one way. Some ways of seeing it (including yours) are wrong or so muddled as to not even qualify to have a truth value. You can, obviously, do mathematic if you want but it doesn't make sense to do it giving your other beliefs and it's internally inconsistent if you want to make dorky claims like "god is math".