Some recent logo developments I've designed for my affiliations, Apolitical and Psychothalamus:
Made to reflect the conflicted nature of politics, the snake has a long history of duality. Snakes have been regarded as venomous, harmful and evil and they have also been regarded as medicinal and pure. The white snake thus represents all sorts of 'protagonistic' associations - left-wing, redistributive justice, idealism, social, welfare - while the black snake represents all sorts of 'antagonistic' associations - right-wing, competitive justice, realism, survival.
The sword has always been a symbol of power, so the dual snakes curling around it represent the battle between opposing forces (who take general sides based on the above mentioned points) over power throughout history.
Basically inspired by the idea of a brain in a vat, but instead of a vat I've used a bell jar so that all of its associated connotations - vacuums, science, and even Sylvia Plath - might be conjured.