Final answer:
Both Karl Marx and John Stuart Mill sought to improve the conditions of the working class, with Marx advocating for socialism and Mill seeking the reform of capitalism.
Step-by-step explanation:
One way in which the ideas of Karl Marx compare to the ideas of John Stuart Mill is in their shared concern for the plight of the working class under capitalism. Marx, a German philosopher and a founder of sociology analyzed the social power dynamics between the 'have' and 'have-nots', predicting that the proletariat would rise against the bourgeoisie to create a socialist utopia. On the other hand, Mill, a proponent of individual freedom and utilitarianism, advocated for governmental intervention to improve working-class conditions and supported extending the right to vote to workers and women to facilitate social reforms. Despite their different end goals, with Marx foreseeing the collapse of capitalism in favor of socialism and Mill seeking the reform of capitalism, both philosophers critically assessed the negative aspects of capitalism and sought to enhance the welfare of the working class.