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Thanks for the correction on informal definitions. I'm surprised though that this is the policy, since quite some pages, such as Definition:Real Number and Definition:Ordered Pair do start with an informal definition. --barto (talk) 17:42, 1 August 2017 (EDT)
- Or wait... So we do allow them, but only if they are transcluded? I want to state this kind of rules clearly, once and for all. --barto (talk) 17:45, 1 August 2017 (EDT)
- They need refactoring. Ordered Pair already has an "informal definition" in a transcluded subpage. --prime mover (talk) 18:16, 1 August 2017 (EDT)
- You're overthinking this. Informal definitions happen to be there because someone has posted up such an informal definition, having found it defined more-or-less informally in an elementary work on the subject. There's no particular reason for there to be a house rule about it. I for one would not like us to be shackled to such a rule. As you say, this is not twitipedia, and we do not start the page with an explanatory preamble. The main section of a definition page should contain a definition and nothing else. --prime mover (talk) 18:21, 1 August 2017 (EDT)
On the order of definitions in more and more general contexts
For example, the first section in Definition:Convergent Series is about topological semigroups. In view of not scaring away young students, I thought we might, as a general policy, try to place the most elementary definitions on top. --barto (talk) 07:36, 4 August 2017 (EDT)
It also makes sense, mathematically (and historically), because it's the order in which the generalized definitions were invented or motivated. --barto (talk) 07:39, 4 August 2017 (EDT)