The following dichotomy is established for any pair F, G of hereditary families of finite subsets of N: Given N, an infinite subset of N, there exists M an infinite subset of N so that either ...

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 ...

The original version of this story was published on Law.Com A topic worth revisiting is sets and subsets — categories, big and small; groups; lists. Items in a list should generally be coordinate to, ...

You have /5 articles left. Sign up for a free account or log in. You may have seen what math folks call “Venn Diagrams”. These illustrate sets and subsets using ...

Although the curse of dimensionality is a well-known problem, the statistical component of this problem, which renders clustering outcomes invalid, has not been properly recognized in flow and mass ...

A new proof significantly strengthens a decades-old result about the ubiquity of ways to represent whole numbers as sums of fractions. Number theorists are always looking for hidden structure. And ...

A new proof illuminates the hidden patterns that emerge when addition becomes impossible. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward ...