Hallucination is fundamental to how transformer-based language models work. In fact, it's their greatest asset.

Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Mathematical logic provides a rigorous framework to analyse proofs and extract computational content, while nonexpansive mappings, which are mappings that do not increase distances between points, ...

The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued quarterly. Volume 71, being published during 2006, will consist of ...

The object lesson concerns the passage from the foundational aims for which various branches of modern logic were originally developed to the discovery of areas and problems for which logical methods ...

Seemingly simple games can serve as thought-provoking exercises in mathematical logic. They can provide deep insights into subtle issues that confront logicians who are interested in the foundations ...

All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger. There is no harm Islamically in ...

Google announces upgrade to Bard chatbot, enhancing math and logic capabilities with PaLM integration. Google has upgraded Bard's math and logic capabilities by incorporating advancements from PaLM.

Chandan Singh Gughtyal has been teaching Maths in boarding schools in India for about 28 years. He has experience of working as an assistant housemaster, housemaster, resident dorm parent, and dorm ...