
 Foundations of Mathematics. Mathematical Logic. By K.Podnieks 
  Mathematics is the part of science you could continue to do if you woke up tomorrow and discovered the universe was gone. 
  In fact, mathematics is a complicated system of interrelated theories each representing some significant mathematical structure (natural numbers, real numbers, sets, groups, fields, algebras, all kinds of spaces, graphs, categories, computability, all kinds of logic, etc.). 
  Maslov could have put it as follows: most of a mathematician's working time is spent along the first dimension (working in a fixed mathematical theory, on a fixed mathematical structure), but, sometimes, he/she needs also moving along the second dimension (changing his/her theories/structures or, inventing new ones). 
 www.ltn.lv /~podnieks (856 words) 
