normality

As nouns the difference between norm and normality

is that norm is that which is regarded as normal or typical while normality is the state of being normal or usual; normalcy.

As a verb norm

is to endow (a vector space, etc) with a norm.

As a proper noun Norm

is a diminutive=Norman given name.

In uncountable terms the difference between normality and formality

is that normality is the state of being normal or usual; normalcy while formality is the state of being formal.

As nouns the difference between taxonomy and normality

is that taxonomy is the science or the technique used to make a classification while normality is the state of being normal or usual; normalcy.

Unremarkableness is a synonym of normality.

As nouns the difference between normality and unremarkableness

is that normality is the state of being normal or usual; normalcy while unremarkableness is the state or condition of being unremarkable.