Hello again !
Please excuse my english. I'm not a native speaker;

Anarchy is not a philosophy [...]

This is what I learned in school:

Philosophy is a science.
There is no plural to a science.
You wouldn't say: Look at the two mathematics
That plural doesn't exist.
In that sense you can't have your own mathematic.
And anarchy can not be a philosophy.

Anarchism can be ( like stoizism for example) a discipline* of philosophy.

Philosophy is the science of truth and wisdom and by defintion parent to all other sciences.

*I couldn't find a better word in english, yet; It's like a set of goggles you put on to look at a question or problem. Example: 'Phytagoras-Geometry-Goggles' to solve a construction question.