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Paradoxes Explained: Philosophy, Science, and Logic

From the mind-bending logic of the liar paradox to the mysteries of time travel and infinity, this video explains the most ...
Mathematicians have long relied on a theorem that appears undeniably true, yet every attempt to formally prove it collapses.
The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...
Add a propositional logic rule tot he parser, which handles symbols, functions maybe? all the logic operators, True + False values.
IN the course of a review of Lewis Carroll's “Game of Logic” (p. 3), Mr. A. Sidgwick says incidentally that “In Mr. Venn's scheme propositions either tell us that a compartment is empty or tell us ...
Microsoft has introduced a new set of small language models called Phi-4-reasoning, Phi-4-reasoning-plus, and Phi-4-mini-reasoning, which are described as "marking a new era for efficient AI." These ...
We attempt to define the classical propositional logic by use of appropriate derivability conditions called Cn-definitions. The conditions characterize basic properties of propositional connectives.
California voters are deciding the outcome of 10 state propositions, including measures that deal with criminal justice, rent control, the minimum wage and investments in schools and climate ...
We’re seeing some new developments in AI models that are shedding light on one of the technology’s most prominent gaps – its relative inability to do math well. Some experts note that AI is ...
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) ...