Proof is a way to show a statement is always true by using worded or algebraic reasoning. Higher tier – There are algebraic ways to describe odd, even and consecutive integers, which are needed for ...

Earlier this month the math world turned toward the University of Oxford, looking for signs of progress on a mystery that has gripped the community for three years. Within days it was clear that ...

https://doi.org/10.4169/amer.math.monthly.119.01.025 https://www.jstor.org/stable/10.4169/amer.math.monthly.119.01.025 Abstract In a 1962 paper, Zariski introduced ...

We will give here a purely algebraic proof of the cut elimination theorem for various sequent systems. Our basic idea is to introduce mathematical structures, called Gentzen structures, for a given ...

The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

Born in Leeds, Joe finished his Spanish degree in 2018 before becoming an English teacher to football (soccer) players and managers, as well as collaborating with various football media outlets in ...

Non-classical logics, encompassing modal, intuitionistic, fuzzy and other alternative logical systems, have increasingly benefitted from an algebraic treatment that elucidates the underlying structure ...