a contribution to the model theory l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
A Contribution to the Model Theory PowerPoint Presentation
Download Presentation
A Contribution to the Model Theory

Loading in 2 Seconds...

play fullscreen
1 / 48

A Contribution to the Model Theory - PowerPoint PPT Presentation


  • 282 Views
  • Uploaded on

A Contribution to the Model Theory Klaus Niemeyer Harald Tribune What is a Model? A person who serves as a subject for artwork or fashion, usually in the medium of photography but also for painting or drawing. A miniature representation of ….. A style, type, or design

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'A Contribution to the Model Theory' - adamdaniel


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
what is a model
What is a Model?
  • A person who serves as a subject for artwork or fashion, usually in the medium of photography but also for painting or drawing.
  • A miniature representation of …..
  • A style, type, or design
  • A simplified representation (usually mathematical) used to explain the workings of a real world system or event.
  • The structural design of a complex system

N-O-A

abstractions concepts or software
Abstractions, concepts or software
  • Analogical models
  • Business model
  • Software development process models
  • Model (abstract), an abstract or conceptual object used in the creation of a predictive formula
  • Model theory, study of the representation of mathematical concepts
  • Mental model, a person's cognitive representation of an idea or thought process
  • Modeling (NLP), a process in neuro-linguistic programming
  • Similitude (model), in engineering, used in the scientific testing of physical models
  • Working Model, engineering software.

N-O-A

model abstract
Model (abstract)
  • Causal model
  • Mathematical model
  • Scientific modeling
    • Model Driven Engineering, a software development technique based on abstract models
    • Metamodeling, a model of a model
    • Molecular modelling, used to mimic the behaviour of molecules
    • Geologic modelling
    • Morphological modelling
    • The Standard Model, the theory in particle physics which describes certain fundamental forces and particles
    • Model building (particle physics)
  • Computer model, a computer program which attempts to simulate an abstract model of a particular system, usually builds upon a mathematical model

N-O-A

physical or representational objects
Physical or representational objects
  • Model (physical), a physical representation of an object
  • Solid modelling, study of unambiguous representations of the solid parts of an object
  • Scale model, a replica or prototype of an object
    • Model building, a hobby centered around construction of material replicas
  • 3D model, a 3D polygonal representation of an object, usually displayed with a computer
  • Model (computer games), in 3D computer graphics, a computer generated image of a character or an object

N-O-A

persons or occupations
Persons or occupations
  • Model (art), a person who poses for purposes of art, for example in art school (often known as an artist's model)
  • Model (person), a person whose occupation is to function as a living prop, often to display products, e.g. a fashion model
    • Supermodel, a person who attains celebrity status through fashion modeling
  • Promotional model, a person who promotes a product or service
  • Role model, a person who serves as a behavioural or moral example to others

N-O-A

proliferation of model definitions
Proliferation of Model Definitions

Probing models, phenomenological models, computational models, developmental models, explanatory models, impoverished models, testing models, idealized models, theoretical models, scale models, heuristic models, caricature models, didactic models, fantasy models, toy models, imaginary models, mathematical models, substitute models, iconic models, formal models, analogue models, instrumental models, etc., etc.,

N-O-A

combinations
Combinations
  • All this becomes even more difficult, if you combine two heavy words. Then you have "model ideas" and "idea models" ´, "system models" and "model systems“ or “model theories” and “theory models”
  • “model of models” and “meta models”

N-O-A

is all cognition in models
Is all cognition „in models”?
  • 1868 the founder of pragmatism, Charles Sanders Peirce, formulated: „We have no ability to think without signs”. One can see his theory of signs also as model theory.
  • In his famous book „The Logic of modern Physics” physicist Percy W. Bridgman wrote 1927:„I believe that the model is a useful and indeed inescapable tool of thought, in that it enables us to think about the unfamiliar in terms of the familiar.“
  • The philosopher Herbert Stachowiak (1973) postulated that all „cognition is cognition in models and by models“. It means that any contact with the world, „being out – passive or active – for recognizing of something”, is „relative to certain subjects, intentional selecting, focussing and in temporal limitation of its relation to the original”.

N-O-A

philosophy
Philosophy
  • Pierce: Pragmatism
  • Popper: Critical Rationalism
  • Riegler: Radical Constructivism
  • Stachowiak: General Model Theory (Neopragmatic Conception of Model)
  • Gelbmann: Pragmatologic Theory Of Models

See also: R.Mueller www.muellerscience.com

N-O-A

models
Models

N-O-A

general model theory
General Model Theory

Stachowiak 1973:

Mod (M, O, K, t, Z)

The object M is a model of object O at time interval t and in reference to the objective Z for a k-system K

N-O-A

k system
K-system

K = Kybiak (see: Steinbuch) (Cybernatic Organism, Intelligent Organism)

K-System

Motivator

Perceptor

Operator

Effector

Environment

N-O-A

k system17
K-system

K-System

Motivation

Perception

Anticipation

Environment

N-O-A

model theory
Model Theory
  • Characteristics
    • Operator (k-system)
    • Purpose
    • Relationship model / original
    • Contraction

N-O-A

analyses perception

Core

Analyses / Perception

Attributs Not Relevant

Experimental Frame Attributs

Reduction of Complexity

Model

N-O-A

syntheses anticipation
Syntheses / Anticipation

Experimental Frame Attributs

Adding Complexity

Construct

Model

N-O-A

relationship model original
Relationship Model / Original
  • A model is the representation or mapping of the original (perception-model)—the past
  • A model is the prototype or standard for a future construction (anticipation-model)—the future

N-O-A

operator k system
Operator / K-System

Motivation

Perception-models

Anticipation-models

Environment

N-O-A

contraction
Contraction

A model does not represent all attributes of the original or

construction. A model represents only those attributes, which are relevant or suitable for the generator or user of the model. This effects a reduction of complexity of the real system (original/construct) within the model.

N-O-A

purpose
Purpose
  • Models are substitutes for the original/construct:
    • For defined, cognizing or perceiving and acting model using subjects (k-systems)
    • Within defined time frames
    • By restrictions on given mental or real actions
  • Models are developed and applied in order to fulfill given goals or motivations of the k-system

N-O-A

purpose examples
Purpose Examples
  • Research
  • Construction
  • Engineering
  • Planning
  • Test
  • Teaching
  • Demonstration
  • Training
  • Gaming
  • Communication

N-O-A

model and experimental frame
Model and Experimental Frame

System

Manipulation

Reality

Real Life Experiment

Objects

Experimental Frame

Model

Simulation

Virtual

N-O-A

evolution of modelling and simulation
Evolution of Modelling and Simulation

Noise

Reality

Analyses

Research

Core

Model

Reduction of

Complexity

Prototyping

Adding

Complexity

Construct

Engineering

Testing

Training

Construct

Noise

Syntheses

Construct

Noise

N-O-A

cycle of two k systems
Cycle of Two K-Systems

K-System

B

K-System

A

Object

Of

Consideration

C

Gaming, Interactive Simulation,Discussion, Dialectic, Co-operation, Litigation, etc.

N-O-A

cycle of two k systems30
Cycle of Two K-Systems

K-System B

K-System A

A-B

A-A

C

M-B

M-A

P-B

P-A

N-O-A

military decision cycle
Military Decision Cycle

OODA loop

Mission

Orient

Objective

Observe

Decide

(Motivation)

ACT

Analysis of Objective

Force Comparison

Situation

(Perception)

Planning

(Anticipation)

Own Forces

Development of Options

Adversery Forces

-Capability

-Intention

Environment

-Terrain

-Weather

-Population

Assessment of Options

Decision

Planning

Situation

Execution

N-O-A

definitions
Definitions

Command and Control

Objectives

Sensors

Effectors

Effective System

Environment

Situation = Environment + Effective System

N-O-A

command control c2 model
Command Control (C2-) Model

Motivation

M

Endogenous

Objectives

Planning

„Anticipation“

P

A

Situation

„Perception“

Effectors

Sensors

Environment

Effective System

Exogenous Objectives

N-O-A

military hierarchie
Military Hierarchie

Motivation

Strategic

Planning

Perceived Situation

Motivation

Operational

Planning

Perceived Situation

Motivation

Motivation

Planning

Planning

Tactical

PerceivedSituation

Perceived Situation

N-O-A

specialization
Specialization

Motivation

Motivation

Anticipation

Perception

Perception

Anticipation

Motivation

Motivation

Anticipation

Anticipation

Perception

Perception

N-O-A

escher
Escher

N-O-A

characteristics of c2 systems
Characteristics of C2-Systems
  • Hybrid (Humans and IT Systems)
  • Goal oriented
  • Process oriented (feedback via environment, control)
  • Intelligent behaviour
  • Distinct from environment
  • Perceives the environment through sensors
  • Acts on the environment through effectors (command)
  • Hierarchical structure

N-O-A

characteristics of agents
Characteristics of Agents

(Newell, Wooldridge&Jennings,etc..)

  • Executes autonomously
  • Communicates with other agents
  • Monitors the state of its environment
  • Able to use symbols, abstractions, (models)
  • Able to exploit significant amounts of domain knowledge
  • Capable of adaptive goal-oriented behavior
  • Able to learn from the environment
  • Tolerant of errorful, unexpected, or wrong input
  • Real time, timely response
  • Natural language

N-O-A

characteristics of agents40
Characteristics of Agents

(Hayes-Roth)

  • Perceive dynamic conditions in the environment
  • Take action to affect conditions in the environment
  • Reason to interpret
    • Perceptions
    • Solve problems
    • Draw inferences
    • Determine actions

N-O-A

characteristics of agents41
Characteristics of Agents

An agent is a unique form of software abstraction

with inherent capabilities:

  • Communicativity
  • Control
  • Decision making
  • Autonomous operation
  • Persistence

N-O-A

relations
Relations
  • Atomal Agent = Model(Human)= Model(Motivation, Perception, Anticipation, Sensors, Effectors)
  • Experimental Frame = Model(Input,Output,Environment)
  • Agent = Atomal Agent „or“ Atomal Agent + Agent „or“ Atomal Agent + Agent + IT-Construct
  • C2-Model = Agent

N-O-A

hypotheses
Hypotheses
  • Characteristics of C2-Models and agents are identical
  • The atomal object of the C2 system is a human individual
  • The human can be represented (modeled) as an agent
  • An agent can be a structured, organised set of other agents, atomal agents, or IT components
  • The C2-Model is an agent
  • Agents and K-Systems are identical

N-O-A

future work
Future Work
  • Further reference and discussion of relevant paradigm in philosophy, psychology and natural science
  • Mathematical/logical explication and reasoning
  • Definition and Taxonomy of terms in the modelling area
  • Publication

Please contribute and review

N-O-A