Dictionary:

intellection

  (ĭn'tl-ĕk'shən)

1. The act or process of using the intellect; thinking or reasoning.
2. A thought or an idea.

[Middle English intelleccioun, understanding, from Latin intellēctiō, intellēctiōn-, synecdoche, from intellēctus, intellect. See intellect.]

The noun has one meaning:

Meaning #1: the process of thinking (especially thinking carefully)
  Synonyms: thinking, thought, cerebration, mentation