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The Contradictory Logics project explores non-trivial contradictory logics, challenging traditional views on logic and science. It investigates dialetheic systems that allow for provable contradictions, aiming to redefine acceptable logical frameworks and scientific theories through philosophical and structural proof t…
“The acceptance of contradictions must lead ... to the end of criticism, and thus to the collapse of science.” – Karl Popper, Conjectures and Refutations.In the 20th century, many systems of non-classical logic have been developed, including inconsistency-tolerant logics, which are typically all subsystems of classical logic.
There are, however, logical systems that are radically different from classical logic insofar as they are non-trivial but contradictory.
These logics are in glaring confli…
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