Nocturne pretty much said what I wanted to say regarding this, and used words I wouldn't have thought of.
But I am going to pick a small nit regarding the example of 2+2=4 in base 10 while 2+2=10 in base 4.
These do not constitute different subjective perceptions of reality, but simply slightly different ways of writing mathematical facts. It is like saying II+II=IV in Roman numerals. They are simply different notations. 10 in base 4 is 4 in base 10, not "ten" (in a way independent of base).
The deception occurs because "2" is used in both notational systems, but base 4 only has symbols 0,1,2, abd 3.