Concepts are Containers

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Concepts are Containers

Imagine you had four identical carrier bags. How many ways are there arranging them within each other? Well within the parameters I am speaking of there are exactly nine possible arrangements:
The 9 patterns for 4 conceptual containers

The 9 patterns for 4 conceptual containers

For any number of such containers their are a set number of patterns in which they can be arranged. For example five containers may be arranged in a maximum of twenty such patterns.

These "Container Numbers" are related to Rooted Trees (Graph Theory).

Related:
http://sci.tech-archive.net/Archive/sci.math/2006-10/msg07283.html http://www.combinatorics.org/Surveys/ds5/VennSeparatingEJC.html

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VirtueScience recognizes a universal conceptual matrix-a kind of periodic table of simple concepts from which all our countless thoughts and beliefs are formed by combination. Knowledge of this simple matrix has profound benefits for character improvement and many other areas of life. It points towards a "Universal Language" that some believe was once openly known on this planet during a previous golden age but has since been lost.