The most critical attribute of human language is its unbounded combinatorial nature: smaller elements can be combined into larger structures on the basis of a grammatical system, resulting in a ...

Systems, the abstract structures used as theoretical concepts in operating of human mind are tried to be set up into a type — level hierarchy which seems to be a new step in continuing traditions of ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

Excerpted with permission from Our Mathematical Universe: My Quest for the Ultimate Nature of Reality, by Max Tegmark. Available from Random House/Knopf. Copyright ...

Abstract 248-dimensional map may unify the laws of nature. After 120 years of puzzling, mathematicians have mapped out the most complex abstract structure ever conceived, a 248-dimensional ...

Why is mathematics so complicated? It’s a question many students will ask while grappling with a particularly complex calculus problem — and their teachers will probably echo while setting or marking ...