3. Interpretations in the real line

The idea here is to try to make a correspondence between the real line of numbers and the number of possible interpretations.

The three main difficulties with this are:

• 1. Showing that the number of interpretations are infinite

  2. Showing that they are ordered

  3. Showing that there are functions (similar to addition and subtraction) that can transform one interpretation into another

Other difficulties include showing that we are before a closed set and so on.