The historical case studies also act as a reductio. Feyerabend takes the premise that Galileo's advancing of a heliocentric cosmology was an example of scientific progress. He then demonstrates that Galileo did not adhere to the conditions of methodological monism. Feyerabend also argues that, if Galileo had adhered to the conditions of methodological monism, then he could not have advanced a heliocentric cosmology. This implies that scientific progress would have been impaired by methodological monism. Again, an absurdity for proponents of the scientific method.