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We are exploring this "foundational form", which we are interpreting as a universal basis for all mathematical and cognitive science definitions. The objective of this project is to discover and learn and show how this form and its interpretations, such as the closed loop, become foundational to the understanding of language, concepts, and the principles of mathematics.
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Design overview | Foundational form
THE FOUNDATIONAL FORM
- What is interesting about this form
- The definition of numbers
- Dimensionality and measurement
- Terminating decimal numbers
- Continuity
- Uncertainty and ambiguity -- bounded range of value as a property of abstraction
- Levels
- Everything is an interval - a bounded interval -- over a range -- at some specific level of resolution - or continuous
- General forms
- Hierarchy
- Tree
- Taxonomy
- Abstraction
- Every dimension is a bounded interval
- Horizontal X1 X2
- Vertical Y(1) - Y(2)
- Unity 1 top level -- no distinctions -- no differences
- Similarity and difference
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