nevertheless

As a noun taxonomy

is the science or the technique used to make a classification.

As an adverb nevertheless is

(conjunctive) in spite of what preceded; yet.

As a noun while

is an uncertain duration of time, a period of time.

As a conjunction while

is during the same time that.

As a verb while

is to pass (time) idly.

As an adverb nevertheless is

in spite of what preceded; yet.

In conjunctive terms the difference between otherwise and nevertheless

is that otherwise is in all other respects while nevertheless is in spite of what preceded; yet.

As adverbs the difference between otherwise and nevertheless

is that otherwise is differently, in another way while nevertheless is in spite of what preceded; yet.

As an adjective otherwise

is other than supposed; different.

As adverbs the difference between nevertheless and neverthelater

is that nevertheless is in spite of what preceded; yet while neverthelater is nevertheless.