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==== Expertise in a free society ==== Starting from the argument that a historical universal scientific method does not exist, Feyerabend argues that science does not deserve its privileged status in western society. Since scientific points of view do not arise from using a universal method which guarantees high quality conclusions, he thought that science has no intrinsic claim to intellectual authority over other intellectual traditions like religion or myths. Based on these arguments, Feyerabend defended the idea that science should be separated from the state in the same way that religion and state are separated in a modern secular society He envisioned a free society in which "all traditions have equal rights and equal access to the centres of power." For example, parents should be able to determine the ideological context of their children's education, instead of having limited options because of scientific standards. According to Feyerabend, science should also be subjected to democratic control: not only should the subjects that are investigated by scientists be determined by popular election, scientific assumptions and conclusions should also be supervised by committees of lay people. He thought that citizens should use their own principles when making decisions about these matters. He rejected the view that science is especially "rational" on the grounds that there is no single common "rational" ingredient that unites all the sciences but excludes other modes of thought. Feyerabend thought that scientific expertise was partially exaggerated by needless uses of jargon and technical language and that many contributions towards science were made by laypeople. Rather than distinguish between "experts" and "laypeople" and privilege the former, Feyerabend distinguishes between "cranks" and "respectable researchers" which is defined by the virtues of inquirers rather than their credentials. In Feyerabend's words,

"The distinction between the crank and the respectable thinker lies in the research that is done once a certain point of view is adopted. The crank usually is content with defending the point of view in its original, undeveloped, metaphysical form, and he is not prepared to test its usefulness in all those cases which seem to favor the opponent, or even admit that there exists a problem. It is this further investigation, the details of it, the knowledge of the difficulties, of the general state of knowledge, the recognition of objections, which distinguishes the 'respectable thinker' from the crank. The original content of his theory does not" According to this view, we cannot identify who counts as a crank based on the content of their beliefs. Someone who believes in flat earth theory, climate change denial, or astrology for example are not necessarily cranks, depending on how they defend those beliefs from criticism.

==== Democracy and science funding ==== Feyerabend thought that science funding agencies should be subject to democratic oversight. On this view, the allocation of funds for research should not be decided by practicing scientists exclusively, as is often the case with peer review. Rather, there should be supervision from taxpayers who determine research priorities. Because of this, Feyerabend defended the Baumann amendment which proposed that there should be Congressional veto power over the National Science Foundation's budget proposals. According to Feyerabend, this follows both from the fact that outsider criticism is necessary for science to flourish and from a right to knowledge which he believed was central to a free society.

=== Ancient philosophy ===

==== Aristotle ==== Feyerabend greatly admired Aristotle's philosophy, largely due to its productivity. According to Feyerabend, Aristotle was an early epitome of naturalistic philosophy whose scientific research was part and parcel with his epistemology. He also claims that Aristotle was one of the most empiricist scientists in history and that his work in physics and mathematics continues to pay dividends after the scientific revolution.

==== Xenophanes and the rise of rationalism ====

In Farewell to Reason, Feyerabend criticizes Popper's claim that Xenophanes, who Feyerabend calls a "conceited bigmouth" with "considerable charm", was the first to engage in rational criticism in his arguments against anthropomorphic gods. According to Feyerabend, Xenophanes' theological writings can only constitute a criticism if the premises would be accepted by his opponents. Otherwise, Xenophanes is merely rejecting the Homeric gods. In the Iliad, and elsewhere, Feyerabend interprets Homer as accepting the view that the universe is subdivided into parts with different laws and qualitative features that do not aggregate into a unified whole. This informs Homer's theology since there can be no coherent knowledge of the whole of the universe, only detailed understandings of isolated parts of the universe. Feyerabend further argues that some thinkers who came after Xenophanes, such as Aeschylus and Sophocles, also rejected Xenophanes' premise that the gods cannot be anthropomorphic. Additionally, Xenophanes represents the beginning of a tyrannical ideology which enforces 'truth' and 'morality' upon all as if there was a single universe that could be captured in a single worldview. Feyerabend also criticizes Xenophanes' pretensions to have developed a conception of God that has no human features, arguing that Xenophanes' God still engages in human activities (such as thinking or hearing). Moreover, he argues that Xenophanes' God resembles a monster as it becomes more detached from human affairs and is therefore more morally problematic than the Homeric gods.

== Influence ==