This mathematical model shows how the order in which the players
in a group of players (in this example, 8) get their way, i.e. act,
effects the outcome of how many survivors remain.
This model shows how logically dependent (by fairness/justice)
but physically independent events become physically dependent
based upon the order in which players get their way.
This model is similar to my videos "Species", except that this model
does not deal with populations of a group of players with the same belief set,
even though in this model, "player" can mean an entire group of players with
the same belief set, but they all suffer simultaneous imprisonment or death by other players.
More importantly, unlike my "Species" video, in this video,
any player can harm/reduce the existence of any other player.
And, unlike in "Species" video, we are examining the consequences of different orders
in which those players act.
Another different model will show the same thing.
Goals and tenets of a Mathematical Theory of Justice (MTOJ)
To translate ordinary "natural" "human" language into logical formalisms.
To model the most common arguments that arise in political, military, personal, marital, family,
legal battles.
To model logical contradictions.
Balance between practicality and the universality and generality attained by formalism.
To model the situation where players P(1) and P(2) but for different reasons.
To be interactive, unlike law is now, where some (e.g. prisoners) are excluded.
Causation - the thing that has been assumed, "in the background", in most game theory models.
My concept is to say a player, P, can cause an event, E, to happen if and only if a nonzero
amount of labor is expended by P.
Be self-referential: because there exists no single logically self-consistent objective entity (i.e. no "god")
Any event/idea itself can always be a thought of any player
How to model what should be given a set of choices?
The MTOJ should included ranking.
Events are undefined. Events become defined only by their effects upon players.
Time. Events ordered by time as well as by the magnitudes of their effects.
Meta-theory like Java or XML.
Must allow players to correct wrong or inaccurate statements.
Must allow players to clarify or expound upon a vague statement.
Must be written down.
Did my best to follow, however, I am lost. I hope it becomes clearer.
gpokriff2 2 months ago