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mysticism
1 : the experience of mystical union or direct communion with ultimate reality reported by mystics
2 : the belief that direct knowledge of God, spiritual truth, or ultimate reality can be attained through subjective experience (as intuition or insight)
3 a : vague speculation : a belief without sound basis b : a theory postulating the possibility of direct and intuitive acquisition of ineffable knowledge or power
[M-W's Col. Dic.]

What does "communion" mean in the above setting?

"a theory postulating the possibility of direct and intuitive acquisition - "If it's "direct", then how come it's "intuitive" because 'intuition' is through indirect means.

Please guide me. Thanks.
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What does "communion" mean in the above setting?-- 3. ( foll by with ) strong emotional or spiritual feelings (for): communion with nature

"a theory postulating the possibility of direct and intuitive acquisition - "If it's "direct", then how come it's "intuitive" because 'intuition' is through indirect means.-- I have explained to you previously that words with overlapping meanings are often used in dictionary definitions (and other fields) to reinforce and clarify the definitions. The reader must take what he knows of the defining words, and each person has his own understanding of a word's meaning.
Comments  
Students: Are you brave enough to let our tutors analyse your pronunciation?
Mister Micawber I have explained to you previously that words with overlapping meanings are often used in dictionary definitions (and other fields) to reinforce and clarify the definitions.
Indeed you have and am grateful for this. Actually, I was thinking that the two words have somewhat opposite meanings.

I think the following definitions of the words overlap.

direct (adj)

5 a : marked by absence of an intervening agency, instrumentality, or influence making direct observations of nature

intuitive (adj)

1 a : known or perceived by intuition : directly apprehended had an intuitive awareness of his sister's feelings
[M-W's Col. Dic.]
Mister MicawberThe reader must take what he knows of the defining words, and each person has his own understanding of a word's meaning.
I couldn't really understand the above quoted material, especially the bold part. It would be kind of you if you could explain it a bit. Thanks a lot.

Regards
Jackson
Everyone has his own mental definition of a word; no two people's definitions are identical; no one's definition is complete; there is heavy overlap but no perfect congruity.