By definition, a number that's infinitesimal is close to, but greater than, this
[DOC] [TLE] Nonstandard Analysis and the Hyperreals - Math Forum [PAR] He is careful to note that his method does not give proof, but only seems to 
suggest the ... That is, numbers whose absolute value is greater than any positive 
real ..... First, we would have to define that two hyperreals are equal if they agree 
on a ..... r is said to be infinitely close to s, denoted here by r '=' s, if r - s is 
infinitesimal.