Final answer:
Taylor Mill's essay primarily argues for expansive individual liberty including the right for personal choices to be free from legal interference, and the 'harm principle', which protects personal liberty as long as no harm is done to others, underpinned by the assumptions about freedom's role in society and the inherent value of liberty.
Step-by-step explanation:
In the essay discussed, Taylor Mill primarily argues for three main points concerning individual liberty and the inclusion of women in emerging rights within societies based on classical liberalism. The first point that Mill contends for is the expansive notion of individual freedom within society, which includes not only the classical liberal tenets of speech and press but also the broader aspect of legal non-interference in the personal choices of adults that do not cause harm to others. The second point Mill emphasizes, as discussed in class with substantive detail, is the 'harm principle'. This principle is rooted in the belief that personal liberty should be protected by law and cultural norms, even when such liberty involves personal risks, as long as no harm is done to others. Mill provides support for these points by underlying two assumptions: the belief that freedom nurtures an atmosphere for experimentation and open dialogue that helps in discarding perilous notions and the intrinsic high value ascribed to personal liberty.