On Mar 28, 11:08 pm, Bruno Marchal <[EMAIL PROTECTED]> wrote:
> Hi Marc,
> Le 28-mars-08, à 08:53, [EMAIL PROTECTED] a écrit :
> > Hi guys,
> > Well, Bruno may be interested to know that I've finally come around to
> > COMP.
> > I do now agree, everything emerges from mathematics. Nevertheless,
> > the mathematical world does *appear* to seperate into three different
> > domains; *physical* (material), *teleological* (goal directed) and
> > *abstract math*, which *look* very different to each other.
> Sure. I would add psychology, theology, sociology, etc.
Well, perform a top-level decomposition of knowledge domains from the
most to the least general, and you can actuallly catch math in the act
of dividing into different knowledge domains. It's true that any
such classification of reality is a mental construct, but this does
not mean that all classification schemes are equal...some are far more
useful than others and a careful decomposition of knowledge domains
results in a single unified scheme 'dropping out'.... mathematical
categories start to *decompose*, or *crystallize* into the reality we
Here's the beginning of my proposed decomposition (most abstract
first, moving down through the list you move down through the
knowledge hierarchy - so for example, Category Theory is most general,
it 'eats' Algebra, which in turn 'eats' Discrete Math and so on down
PLATONIC (MULTIVERSE LEVEL)
Category Theory - Calculus, Analysis, Number Theory, Peano Axioms, ZF-
Algebra- Field, Group, Ring
Discrete Math - Algorithm, Cellular automation, Church-Turing,
Combinatoraics, Computability, Godel, Lob, Graph Theory, Iteration,
Aesthetics - Beauty, Sublimity
Morality - Ethics, Social Contract, Utilarianism, Consequentalism
Virtue - Archetype, Virtue Ethics
Field Physics - Geometry, Standard Model, Trigonometry, Relativity
Mechanics - Classical Mechanics, Hamiltonian Models, Lagrangian
Digital Physics - Computational Complexity, P=NP, Kolmogorov
COMPUTATIONAL LEVEL (REALITY AS SEEN BY AN OBSERVER)
Reflective Reasoning - Analogy formation, Prototyping, Consciousness
Probability Theory - Bayes, Inductive Reasoning, Bayesian Networks
Symbolic Logic - Boolean Algebra, First-Order Logic, Predicate Logic,
Communication - Emotion, Linguistics, Semantics, Semiotics
Decision Theory - Economics, Pareto Efficientcy, Game Theory, Utility
Psychology - Developmental, Evolutionary, Social
Data Communications - Information Theory, Information Integration,
Thermodynamics - Memory-Prediction Model, Memory, Neural Network,
Chemistry - Chemical Kinematics
OBJECT LEVEL (ARTIFACTS - BY PRODUCTS OF COMPUTATIONAL LEVEL)
Data Modeling / High Level - Ontology, Relational Databases, Semantic
Web, Lisp, Ruby
Software Architectures/ Mid Level - Design Pattern, Object Oriented,
Operating Systems/Low Level - Linux, Windows, DOS, C Programming
Sociology - Group, Role
Politics - Democracy, Humanism, Socialism, Libertarianism
Narrative Art - Fantasy, Science Fiction, Computer Games
Virtual Reality - HTML, XML, World Wide Web, Human-Computer
Mechanical Engineering - Computer Engineering, Internet,
Solid State Physics - Chemical Engineering, Nanotechnology, Electrical
Do you see how the original mathematical categories decompose and how
there's a neat knowledge hierarcy emerging? All of these fields have
in some sense *emerged* purely from *mathematical categories*, and
each fits neatly in its rightful place.
As of 2008, only the people on the everything-list start to see
"Here we are.born to be kings.
Were the princes of the universe.
Here we belong.fighting to survive.
In a world with the darkest powers.
And here we are.were the princes of the universe.
Here we belong.fighting for survival.
Weve come to be the rulers of your world.
I am immortal.i have inside me blood of kings.
I have no rival.no man can be my equal.
Take me to the future of your world.
Born to be kings.princes of the universe.
Fighting and free.got your world in my hand.
Im here for your love and Ill make my stand.
We were born to be princes of the universe.
No man could understand.my power is in my own hand.
Ooh.ooh.ooh.ooh.people talk about you.
People say youve had your day.
Im a man that will go far.
Fly the moon and reach for the stars.
With my sword and head held high.
Got to pass the test first time - yeah.
I know that people talk about me I hear it every day.
But I can prove you wrong cos Im right first time.
Yeah.yeah.alright.watch this man fly.
Bring on the girls.
Here we are.born to be kings.were the princes of
The universe.here we belong.born to be kings.
Princes of the universe.fighting and free.
Got the world in my hands.Im here for your love.
And Ill make my stand.
We were born to be princes of the universe."
- Queen, "Princes of the Universe"
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