Word for word copying is of course protected, but proofs themselves; results, are not.
Noone cannot copyright a new for example,
if I were to prove Rule 110 Turing completeness,
then I can publish the result.
The same is not true for music; listening to a song written by someone else, and then playing it on my own instrument is in some cases illegal if
I play it for others, or put it on youtube.
As a mathematican, I know that none of my work can be copyrighted. Proofs are discovered, not invented. Which is great!
Copyright is not required for a field to survive.
I believe that coding and doing mathematics is quite similar; you have a certain amount of "mana" that only lasts for so long. A potion of mana, a.k.a. Red Bull (name your poison here), can make you stay focused a bit longer, but I believe you can only produce a certain amount of intellectual work each day.
I usually don't do scheduled research math for more than four hours a day. It does not work that way anyways, insight cannot be scheduled.
There is a project on wikibooks that aims to include mathematical proofs from various topics;
http://en.wikibooks.org/wiki/The_Book_of_Mathematical_Proofs
The goal is that one can link from wikipedia to this book, where all proofs are allowed.
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Word for word copying is of course protected, but proofs themselves; results, are not. Noone cannot copyright a new for example, if I were to prove Rule 110 Turing completeness, then I can publish the result. The same is not true for music; listening to a song written by someone else, and then playing it on my own instrument is in some cases illegal if I play it for others, or put it on youtube.
As a mathematican, I know that none of my work can be copyrighted. Proofs are discovered, not invented. Which is great! Copyright is not required for a field to survive.
I believe that coding and doing mathematics is quite similar; you have a certain amount of "mana" that only lasts for so long. A potion of mana, a.k.a. Red Bull (name your poison here), can make you stay focused a bit longer, but I believe you can only produce a certain amount of intellectual work each day. I usually don't do scheduled research math for more than four hours a day. It does not work that way anyways, insight cannot be scheduled.
There is a project on wikibooks that aims to include mathematical proofs from various topics; http://en.wikibooks.org/wiki/The_Book_of_Mathematical_Proofs The goal is that one can link from wikipedia to this book, where all proofs are allowed.