All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Featuring audition jams with Jeff Beck and Harvey Mandel, as well as rare tracks and concert recordings, a new expanded reissue of the band's 1976 album gives us a 360 look at a crucial turning point ...

"We have demonstrated that it is impossible to describe all aspects of physical reality using a computational theory of quantum gravity," says Dr. Faizal. "Therefore, no physically complete and ...

Propositional logic includes sentence letters (A, B, C, etc), which are assigned truth values, and logical connectives (AND, OR, NOT, IMPLICATION, EQUIVALENCE), but not quantifiers. This is also ...

American rapper Logic was born the year Richard Linklater’s Slacker came out, and, at the age of four, was thus unlikely to catch Kevin Smith’s Clerks when Miramax first released it back in 1994.

The hardest part of losing weight may be keeping it off. Research supports this conclusion. Some scientists believe that the human body has a set point weight that it returns to. If you lose weight, ...

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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) ...

It was already a mind-bending shift, last century, to go from Isaac Newton’s absolute space and universal time to Albert Einstein’s four-dimensional space-time, which is dynamic, flexible, sensitive ...

I’m teaching Edinburgh’s undergraduate Axiomatic Set Theory course, and the axioms we’re using are Lawvere’s Elementary Theory of the Category of Sets — with the twist that everything’s going to be ...