Finally, a definition of continuous hierarchy

A continuous hierarchy or network is a collection of sets in which:

1. The elements are hard to distinguish. Examples of this are puns and synonyms.
2. Elements are different based on viewpoint (fuzzy numbers).
3. Sets can be difficult to distinguish.
4. Sets have different elements depending on viewpoint. This brings forth a whole subjectiveness to mathematics and computer science. Discussions about whether something is a fish or a mammal, a fruit or a vegetable become relevant.
5. The whole hierarchy is a dynamic, changing thing. This allows languages to change.
6. The order of elements within a set is hard to distinguish
7. The order of elements within a set is different depending on viewpoint
8. The order of elements within a set is also a continuous hierarchy or network.

Perhaps these simple insights will help us create a mathematics for politics, religion, social sciences, etc.