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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.




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



