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 ...

Transfinite set theory encompasses the rigorous study of infinite hierarchies, particularly those structured by ordinals and cardinals. This field has been instrumental in deepening our comprehension ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Three years ago Christopher Havens, who has been serving a prison sentence of more than two decades for murder, published a discovery in number theory from his cell. A significant class of fractions, ...

You're currently following this author! Want to unfollow? Unsubscribe via the link in your email. We recently wrote about how infinitely large sets are not all the same size as each other, but we were ...

The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...