Ask HN: The Importance of the Set {-1, 0, 1} and it's Universal Application

The set of integers {-1, 0, 1} seems to pop up in a surprising number of contexts.

  -1: The idea of negation or taking a step back.
  
  0: The neutral point, the absence of something, or a 
  starting point. The singularity. Absolute 0. The origin 
  plot on a number line. etc.
  
  1: AKA +1: The building block, the single unit from which 
  we construct. Represents the smallest possible unit of any 
  measurement (1,. .1, .01, etc).
  

Rather than posit my own ideas and applications here in this OP, I am more interested in generating discussion here on HN and getting input from those with more knowledge and expertise in the area of mathematics and sets, and their various applications.

What would you say about this set either exclusively within mathematics or applied to any of those other fields of study which intersect?