08-20-2021, 10:44 AM
I came to think of how the model of reality they use in the Wolfram Physics Project is exactly correct! They talk about advanced mathematical concepts and I heard the term 'equivalence class' and looked it up:
If I understand it correctly, the basic concept is easy to grasp. If a bag contains 5 apples and 3 oranges, then the apples form one equivalence class and the oranges form another equivalence class. When the equality condition is: "same kind of fruit".
With another equivalence condition "is a fruit" all the apples and oranges together form one equivalence class.
It can be applied to the expanding Indra's net. And rules determine how subsets (collections) of points expand into a new larger subsets of points. And with the equality condition for the rules: "is Intelligent Infinity" it results in an equivalence class which represents reality.
Quote:"In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes. These equivalence classes are constructed so that elements a and b belong to the same equivalence class if, and only if, they are equivalent." - Wikipedia
If I understand it correctly, the basic concept is easy to grasp. If a bag contains 5 apples and 3 oranges, then the apples form one equivalence class and the oranges form another equivalence class. When the equality condition is: "same kind of fruit".
With another equivalence condition "is a fruit" all the apples and oranges together form one equivalence class.
It can be applied to the expanding Indra's net. And rules determine how subsets (collections) of points expand into a new larger subsets of points. And with the equality condition for the rules: "is Intelligent Infinity" it results in an equivalence class which represents reality.