Mathematics is infinitely wide, while the language that describes it is finite. It follows from the pigeonhole principle that there exist distinct concepts that are referred to by the same name. Mathematics is also infinitely deep and sometimes entirely different concepts turn out to be intimately and profoundly related.


Closed form (pun intended!), Contemporary Mathematics, Volume 143, 1988


Mathematics is infinitely wide, while the language that describes it is finite. It follows from the pigeonhole principle that there exist distinct...

Mathematics is infinitely wide, while the language that describes it is finite. It follows from the pigeonhole principle that there exist distinct...

Mathematics is infinitely wide, while the language that describes it is finite. It follows from the pigeonhole principle that there exist distinct...

Mathematics is infinitely wide, while the language that describes it is finite. It follows from the pigeonhole principle that there exist distinct...