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

It may be worth winding the clock back to 1960, when the physicist Eugene Wigner published an article with the title “The Unreasonable Effectiveness of Mathematics in the Natural Sciences”. Physics ...

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 ...

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 ...

Marcos Mazari-Armida, a postdoctoral researcher at CU Boulder, wins 2021 Sacks Prize from the Association of Symbolic Logic A University of Colorado Boulder mathematician has won the Sacks Prize, ...

The term "reasoning" is a familiar metaphor in today's artificial intelligence (AI) technology, often used to describe the verbose outputs generated by so-called reasoning AI models such as OpenAI's ...

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.

The entry requirement to the programmes is normally a good honours degree in mathematics or a mathematically-related discipline or an equivalent overseas qualification in a mathematical subject. As ...

THE HISTORY Of computers is often told as a history of objects, from the abacus to the Babbage engine up through the code-breaking machines of World War II. In fact, it is better understood as a ...