Counter = opposite to.
From dictionary.com:
–adverb
1. in the wrong way; contrary to the right course; in the reverse or opposite direction.
2. contrary; in opposition (usually prec. by run or go): to run counter to the rules.
–adjective
3. opposite; opposed; contrary.
–noun
4. something that is opposite or contrary to something else.
Intuitive = your intuition.
Counterintuitive = the opposite of what your intuition would say.
From dictionary.com:
coun·ter·in·tu·i·tive adj. Contrary to what intuition or common sense would indicate: "Scientists made clear what may at first seem counterintuitive, that the capacity to be pleasant toward a fellow creature is ... hard work"
In other words: It is intuitive that the sample calculations are on the sample calculations page. It is counterintuitive that the results graphs are in the table of contents. Anti-intuitive is not a word.
Sigh.
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