Feyerabend describes in Against Method a collapse of 19th century science based on the idea that there is a "scientific method" capable of leading scientists to discover "truths" about the World. Feyerabend describes 20th century science as a science without "method" where "Anything Goes", connecting to Kuhn's analysis with "method" replaced by "fashion".
Feyerabend thus describes a change at the turn to the 20th century from rational positivism of enlightenment and modernity into postmodern pessimism, which is essentially the change from classical physics into modern physics.
But to give up rationality and "method" if it is not really necessary, may be stupid and so it is important to understand (i) the limits of the "method" of classical physics and (ii) what caused the collapse into modern physics.
Classical physics can be described by combinations of
- Lagrange equations of rigid body mechanics (Newton's equation of motion)
- Navier's equations of solid mechanics
- Navier-Stokes equations of fluid/gas mechanics
- Maxwell's equations of electro-magnetics.
- The ultraviolet catastrophe of blackbody radiation.
- The Michelson-Morley paradox of perceived non-existence of an ether medium for propagation of electromagnetic waves.
As an example of resurrected boosted classical fluid mechanics, discover The Secret of Flight.