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Against Method
Feyerabend did not agree with any one scientific method. He believed that "You need a toolbox full of different kinds of tools. Not only a hammer and pins and nothing else". Meaning that sticking to just one scientific method was bad for science and would destroy science. He instead believed that the only true scientific method was opportunism. -
Putman on Incommensurability
In 1987 Paul Feyerabend wrote about how his views differed from Putman's in regards to incommensurability. Feyerabend believed that incommensurability was a rare thing and only occurs when "the descriptive terms of one language (theory, point of view) do not permit the use of the descriptive terms of another language (theory, point of view)". Feyerabend, Paul. “Putnam On Incommensurability.” The British Journal for the Philosophy of Science, vol. 38, no. 1, 1987, doi:10.1093/bjps/38.1.75-b. -
Theoreticians, Artists and Artisans
Paul Feyerabend argued that theorists are contradictory. He claimed that in order to gain knowledge you had to experience something with your senses. He said "how can experiments that are temporal processes and, therefore, 'illusions' inform us about an illusion-free reality". Feyerabend believed that theoreticians needed artisans to connect them to the real world. Source
Feyerabend, Paul. “Theoreticians, Artists and Artisans.” Leonardo, vol. 29, no. 1, 1996, p. 23., doi:10.2307/1576272. -
Conquest of Abundance
Feyerabend believed that humans had a passion for reductionism. He believed "completely closed cultures do not exist; the openness of cultures is connected with the inherent ambiguity of thought, perception, and actions". And that humans compressed reality through religion, science, and philosophy for our survival. Source:
Oberheim, Eric. “Conquest of Abundance: A Tale of Abstraction versus the Richness of Being. Paul Feyerabend.” Isis, vol. 92, no. 3, 2001, pp. 597–598., doi:10.1086/385303.