You seem to be redefining a political philosophy into what you think it should mean. Anarchism did not start 2000 years ago. Anarchism is pure post-enlightenment, although like most philosophical thought, precursors are seen and inspiration is taken from Greek, Roman and religious/Christian sources.
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You seem to be appending an ideology to a political philosophy that is neutral on how gender is perceived.
What you take as 'anarchism' is merely anarcha-feminism(https://en.wikipedia.org/wiki/Anarcha-feminism).
Anarchism itself got started over 2000 years ago and could also be compatible within a society where women is seen as 'property'
You seem to be redefining a political philosophy into what you think it should mean. Anarchism did not start 2000 years ago. Anarchism is pure post-enlightenment, although like most philosophical thought, precursors are seen and inspiration is taken from Greek, Roman and religious/Christian sources.