Proposition: A declarative statement that is either true or false Truth Value: Indicates whether the proposition is actually true or false. The truth value can be true, false, unknown, or a matter of ...

A proposition is a declarative sentence that is either true or false, but not both. 命题是一个陈述语句，它或真或假，但不能既真又假。 (True when exactly one of p and q is true.) Note: ∨ vs. ⊕ ...

We investigate and classify the notion of final derivability of two basic inconsistency-adaptive logics. Specifically, the maximal complexity of the set of final consequences of decidable sets of ...

Abstract: We present the logic K/2 which is a logic with classical implication and only the left part of classical negation. We show that it is possible to define a classical negation into K/2 and ...

Originally published on Sept. 25, 2018. In a world of divisive politics, rhetoric and debate, author Eugenia Cheng has the secret to winning an argument: mathematical logic. Cheng, a mathematician and ...

Large Language Models (LLMs) have made significant strides in various Natural Language Processing tasks, yet they still struggle with mathematics and complex logical reasoning. Chain-of-Thought (CoT) ...

Every Monday, Wednesday and Friday from 11:30am to 12:30 p.m., students gather in Hayes-Healy Hall for “Beginning Logic,” a math class where you’re more likely to find proofs of language on the ...