self-examination vs reflexion

self-examination and reflexion both are nouns.

Word	Noun	Adjective	Verb	Adverb
self-examination	Yes	No	No	No
reflexion	Yes	No	No	No

As nouns, reflexion is a hypernym of self-examination; that is, reflexion is a word with a broader meaning than self-examination:

self-examination: the contemplation of your own thoughts and desires and conduct
reflexion: a calm, lengthy, intent consideration

Other hypernyms of self-examination include contemplation, musing, reflection, rumination, thoughtfulness.

self-examination (noun)	reflexion (noun)
the contemplation of your own thoughts and desires and conduct	the image of something as reflected by a mirror (or other reflective material)
	the ability to reflect beams or rays
	a likeness in which left and right are reversed
	a calm, lengthy, intent consideration
	a remark expressing careful consideration
	expression without words
	the phenomenon of a propagating wave (light or sound) being thrown back from a surface