First, let's take a look at the word tautology. Its meaning in the vernacular involves needless repetition or redundancy. But in logic, its meaning is more precise and more benign. It describes a statement which is analytic, or true solely by virtue of its logical form. This reaches its limit in 2-valued prepositional logic: e.g., A v ~A (law of the excluded middle); ~(A & ~A) (law of noncontradiction). In this notation, variables are sentential; "A" stands for any complete formula or "predicate". Such tautologies are self-referential; we can let "A" stand for the whole tautology in which it appears (e.g., A v ~A --> (A v ~A) v ~(A v ~A)). Since logic is entirely developed by deductive substitution from initial tautologies - as is a geometry from its axioms - these tautologies form what you'd call a "reflexively true tautological framework". They are "highly resistant to outside contradiction" because, in order to be comprehensible, any such contradiction must be formulated in terms of propositional logic and therefore submit to the very tautological rules it purports to "contradict".
For the rest see: http://megasociety.org/noesis/76/05.htm
If reality is a reflexively true tautological framework, then it is a tautology. And since it is a tautology, it models itself by logical distinctions between its objects, which are reality themselves. Including the spacetime syntax to which it formulates itself by. As we learned in the previous thread, this syntax of reality divides itself. That means without it, nothing exists as itself. This is a void in which no information can exist. Or freedom from constraint. Objects and sets are synonymous with each other, which means reality itself forms the most general syntax to which objects refer.
For the rest see: http://megasociety.org/noesis/76/05.htm
If reality is a reflexively true tautological framework, then it is a tautology. And since it is a tautology, it models itself by logical distinctions between its objects, which are reality themselves. Including the spacetime syntax to which it formulates itself by. As we learned in the previous thread, this syntax of reality divides itself. That means without it, nothing exists as itself. This is a void in which no information can exist. Or freedom from constraint. Objects and sets are synonymous with each other, which means reality itself forms the most general syntax to which objects refer.