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单词 t
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t

Logic
  • In relevant logic, a propositional constant (or 0-ary connective) acting as a proxy for the infinitary conjunction of all tautologies. t and the propositional constant f are together known as the Ackermann constants due to their having been studied by logician Wilhelm Ackermann (1896–1962). Although t and the formula verum (⊤) are equivalent in classical logic, they become distinct in the weaker family of relevant logics. Most notably, the relevant interpretation of ⊤ treats the connective as the weakest possible truth, i.e., ⊤ is relevantly entailed by every formula φ. Given the relevant reading of t, t entails every logical truth (codified by the axiom t→(φ→φ)). t is construed as strictly stronger than ⊤.


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