Mathematics education must move beyond marks and memorisation, focusing instead on reasoning, problem-solving, and creative ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...

In a milestone moment for artificial intelligence, general-purpose models from Google and OpenAI have won gold medals at the International Mathematical Olympiad (IMO), solving five out of six problems ...

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 ...

Hallucination is fundamental to how transformer-based language models work. In fact, it’s their greatest asset: this is the method by which language models find links between sometimes disparate ...

Typography Studio 2.0's dynamic mathematical background engine showing Tech Circuit pattern selection with professional color controls and real-time intensity adjustment - demonstrating infinite ...

IT is recorded that when a pupil asked Confucius what he would do first if he had absolute power, the Master replied “I should reform language”. (The development of the theme in the text of the ...

Synthese spans the topics of Epistemology, Methodology and Philosophy of Science. Coverage includes the theory of knowledge; general methodological problems of science, of induction and probability, ...

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.