1) order: The verb order has different meanings. One of them is the following:
to organize (things) in a particular list or series : to put things in a particular order or position
2) organise: Also the verb organise has different meanings. One of them is the following:
to arrange or order things so that they can be found or used easily and quickly : to put things into a particular arrangement or order
(Source of the definitions: http://www.learnersdictionary.com/)
My question refers only to the meanings of 1) and 2) above. I am not interested in other meanings. So with the definitions above I am not able to discover a difference between 1) and 2). But I assume that there are nuances between the word organise and order in the meaning 1) vs. 2).
So can you teach me exactly what the differences are?
Some examples: Is it exactly the same when I say:
1) The books are ordered alphabetically by author.
vs. The books are organized alphabetically by author.
2) His office is a mess. He needs someone to help him order his work/papers.
vs. His office is a mess. He needs someone to help him organize his work/papers.
3) She took a moment to order her thoughts before she responded.
vs. She took a moment to organize her thoughts before she responded.
4) The book is ordered around a central theme.
vs. The book is organized around a central theme.
5) I spent some time ordering my closet last weekend.
vs. I spent some time organizing my closet last weekend.
6) You need to learn to order better.
vs. You need to learn to organize better.
Edit: Added more examples:
7) I ordered the photos chronologically.
vs. I organized the photos chronologically.
8) Please order these files according to case significance.
vs. Please organize these files according to case significance.