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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

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).


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Hi, I am James Barton the founder of VirtueScience and Author of "Inner Medicine" which details my discoveries regarding the virtues along with practical exercises to awaken natural virtue. I have a wide range of interests but the main focus of this site now is the virtues and character. Please feel free to explore the site and comment on any pages that you are interested in/agree with or disagree with.
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