insolubilia

logic

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June 29, 2026

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The term "insolubilia" refers to a type of paradox, specifically a self-referential statement that leads to a contradiction. The most famous example is the liar paradox, which arises from statements like "This sentence is false." If the statement is true, then it must be false, and if it is false, then it must be true. This kind of paradox highlights the complexities of language, logic, and truth, leading logicians like Alfred Tarski to distinguish between object languages and metalanguages to avoid such contradictions. A paradox, in general, is an apparently self-contradictory statement whose deeper meaning is revealed upon closer examination.12

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history of logic
The properties of terms and discussions of fallacies
…special treatises were devoted to insolubilia (semantic paradoxes such as the liar paradox, “This sentence is false”) and to a kind of disputation called “obligationes,” the exact purpose of which is still in question.
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…special treatises were devoted to insolubilia (semantic paradoxes such as the liar paradox, “This sentence is false”) and to a kind of disputation called “obligationes,” the exact purpose of which is still in question.
Read More