User blog:Winrobee/A Hierarchy of Largest Number Principles

The Largest Numbers According to a Hierarchy for Generating Principles

In which I suggest rules for larger and larger numbers according to the hierarchy of ideas Systems of Order. Note that, because of the size of the numbers, these are not definitions, but instructions on constructing the definitions.

1. I have an idea about a number called an Intellection, which is the largest number which can be generated (concisely defined) by one intelligent consciousness. The definition has to include rules for what is a single interacting consciousness, and for what are the physical laws in which the (finite) consciousness operates. For example, the Poincaré Recurrence Time indicates that there is a limiting time parameter/scale beyond which repetitions are willy-nilly, and thus not the product of intelligence. And the speed of light restrictions indicate that there's a heavily related space dimension, too.

2. We could also propose a number called a Civilization, which might be the limits of a number that results (remember, we go a finite amount, and then stop) from within an infinite field of (about limit-size) intellegences that act like an agar within which a number-generating develops. There also has to be defined the difference between the fortuition generated by the specific initial layout, and just fortuition which could grow the numbers to any size with enough tries. A characteristic size, that is, that goes with the limits of intellegences and civilizations.

The Intellection and the Civilization could also define a number of some kind of things that the principles of the Intellection and the Civilization could specify in a collection; an Intellection of atoms, or a Civilization of people.

The Intellection-Civilization series could be extended indefinitely:

3. A Realization, the largest number, under those rules of universe, that can be generated by any finite extrapolation or improvement of the agar principle.

4. A Specification, largest number that can be generated by any finite extrapolation or improvement on what the rules of the universe are (does not necessarily support things like intellegence, but has an analog to the characteristic size stipulation).

5. A Manifestation, the largest number that could be DIS-assembled by any agar with any universe's rules (there has to be a proper standard for what is complete disassembly).

6. A Speculation. The largest number that could be IMPLIED under any rules/agars, or principles of assembly/disassembly, even if nothing final need be known or proved (being part of the process remains a mystery to civilizations actually working.

7. A Rationalization. The largest number which, in fact, has meaning to be the largest number, such that all PARTS of the meaning can separately be defined, after the fashion of a civilization's kind of defining (but by some analog beyond civilizations'). Thus, the limits in #6 create the basic units of conception of what happens in the number's generation.

There could be a continuation of the series from here. And we could define SO(n) to be the nth one of these.This sequence could define a function SO(n), where n is which one of these; the sequence could be recursed and diagonalized, etc, of course. SO stands for Systems of Order.

8. The Recognition. The largest number which could be accepted to be the largest number under any rules like the ones introduced earlier in the series (to be well-defined). E.g. there doesn't have to be actually someone possible to do the accepting.

9. The Intimation. The largest number implicit in an association generated by principle #8. That is, members of the association are individually generated with principle #8. But I'm not sure this generates finite numbers greater than SO(8). Probably, the rules of association are generated by associations of things based on #8.

10. The Intrusion. Now, I would like to remind you all, here, that, obviously, the exact definition of the function could not be given concisely: otherwise we could generate an even larger Intellection by anything like simple application of a recursion. What we can do here is demonstrate the approximation of principles. And this is a way to reach SO(10), since we can invoke generalization to say #10 is the largest number generable by any finite relative to grouping of #9's. The worst approximation of the worst approximation.

11. The Deliberation. This is by definition not a description of #10, but...the largest number where any #9 encodes for any extrapolation of defining. The most extreme complication of encrypting.

12. The Communication. The largest finite number which can be given recognition by complications e.g. of recognition.

13. The Satiation. The largest finite number that can be an improvement in size under any improvement over recognitions.

14. The Liberation. The largest finite number that exists that is derived with any (and any number of) relatives to and substitutions for improvement. E.g. not derived by proceedures.

15. The Animation. Does not have to have to do with an exemplification.

16. The Foundation. Does not have to have to do with an attendation. That is, does not have to be in any relation; though parts of the analogs to derivations may be.

17. The Characterization. Does not have to have to do with continuity.

18. The Activation. Does not have to have to do with participability, e.g. in a description.

19. The Comprehension. Does not have to have to do with organization.

20. The Notion. Does not have to have to do, e.g. with the number's self.

21. The Permutation. Does not have to have, e.g. to do with anything fictionally in a story.

22. The Exacerbation. Does not have to be implyable about, e.g. to have relatives of to-do-with-anything.

23. The Confrontation. Does not have, e.g. to have connections.

24. The Reception. Does not relate.

25. The Manifestation. Does not manifest, e.g. the number's self (yes, different in some ways from just one thing).

26. The Intuition. Cannot be intuited about (which reminds us that this blog has gone far beyond the limits of approximation).

27. The Fortuition. Cannot be derived.