Lexicon of Arguments

 

II 74
Law of Contradiction/Method/Logic: (VsFeyerabend) a method which does not obey the principle of contradiction is not science but chaos. It follows that it is not possible to examine the freedom of contradiction in the same way as the relativistic invariance or the agreement with observations!
>Method.
FeyerabendVsLogic: The objection assumes that the class of consequences of a scientific proposition is determined independently of the treatment of the proposition, according to the rules of propositional logic.
This assumption has never been substantiated. The propositional logic is only one among many logical systems, in there are also intuitionistic logics, without excluded middle.
II 75
E.g. Suppose that in the theories a contradiction in fact implies every proposition. Then follows: if one introduces velocities greater than the speed of light into the theory of relativity, then one obtains imaginary velocities and masses.
PopperVsHegel/Feyerabend: Popper shows very circumstantially that one gets nonsensical consequences when one combines propositional logic with Hegel. He concludes that Hegel must be eliminated.
FeyerabendVsPopper: That is about as intelligent as demanding that the theory of relativity should be eliminated because simple computers are not up to it.
Hegel + theorem logic gives nonsense. Why should Hegel, of all people, be blamed for this nonsense?
Logic: is also incompatible with the older quantum theory or with the differential calculus of Newton's time.

Contradiction/Feyerabend: Ex The differential calculus was contradictory and yet led to the greatest discoveries in the sciences.