This principle was first proven by William of Soissons in the 12th century. For 10 points each:
[10m] Name this principle that says that any statement can be derived from a contradiction.
ANSWER: principle of explosion [or principle of Pseudo-Scotus; or ex contradictione quodlibet]
[10h] Francisco Miró Quesada Canturias coined this term for any logic that rejects the principle of explosion. This type of logic is often confused with dialetheism (“dye-uh-LETH-ee-ism”).
ANSWER: paraconsistent logic [or paraconsistency]
[10e] Some philosophers have used paraconsistent logic to try to overcome the limitations of arithmetic that are thought to follow from this logician’s two incompleteness theorems.
ANSWER: Kurt Gödel [or Kurt Friedrich Gödel; accept Gödel’s incompleteness theorems]
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