Notes for MATH700132 (Mathematical Logic) taught by David Evans at Imperial in Spring 2025. They are a work in progress. These notes are primarily based on the content covered in lectures, with some ...
OpenAI launched its latest frontier model, GPT-5.2, on Thursday amid increasing competition from Google, pitching it as its most advanced model yet and one designed for developers and everyday ...
When engineers build AI language models like GPT-5 from training data, at least two major processing features emerge: memorization (reciting exact text they’ve seen before, like famous quotes or ...
Scott Steiner used his famous Steiner Math to explain Bron Breakker’s actions on WWE RAW. WWE RAW ended in a shocking way when Seth Rollins, who began the night in a great mood after defeating Cody ...
President Donald Trump keeps making a mathematically impossible promise. At event after event this month and last, Trump has declared that the “most favored nation” policy he unveiled in an executive ...
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 ...
ABSTRACT: This paper revisits the nature of school mathematics by examining its philosophical foundations and the implications of these views for contemporary pedagogy. The paper examines how ...
How many atoms are there in the observable universe? Current estimates point to a number we would write as 1 followed by 80 zeroes, or 10 80. If you peered inside each of these atoms and counted their ...
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 ...
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