Yes I am a feminist.
You're definitely correct that discussions of feminism are usually muddied by the existence of a variety of competing strands that are often not compatible with one another. It might be a good idea to very briefly give an overview of some of the types of feminism roving around the acadmeic world:
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Liberal Feminism: Essentially involves an extension of liberal political theory to women - revolves around equal rights, freedom of choice and formal equality in regards to legislation.
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Radical Feminism: Much emphasis placed upon relations of sexual violence between men and women, particularly involved in the critique of pornography. This is the Germaine Greer style of feminism often brought up within the public sphere.
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Socialist Feminism: Looks at the interactions between gendered and economic inequalities. Interested in the differential division of household work, labour market income inequality and the way women and men tend to occupy different sectors within the employment market. Not
particularly associated with Marxism.
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Difference Feminism: Broadly speaking, this position suggests that there are fundamental differences between women and men. Purusing gender "equality" is not taken to mean making men and women the same, but rather catering for their different needs and values.
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Postmodern Feminism: This paradigm questions the categories of male and female, and seeks to undermine the notion that there is any unitary feminine subject. Very difficult to explain in two sentences.