The term “emergent properties” seems to be the phrase used to express the assumption that these things will just occur if enough complexity/processing-power is present.
My experience is that "emergence" is a vague magic word/just so story used to explain anything by people of a certain reductionist bent.
I know little neurology, but in physics at least not only can properties of the whole be completely independent of any property of the parts, but in the extreme case properties of the whole possessing a value requires that the parts are without properties.
So I see no reason for the mind to be emergent from or just a matter of additional complexity over standard computational processes.
The spin of an atom along a certain axis being well-defined requires that the individual particles of the atom to have no well-defined properties at all.
In general a piece of matter has no well-defined number of particles in it, just a probability distribution for what number it might be measured as possessing. Even this probability distribution is observer dependent not objective.