Is it possible to reduce the reality to a model?

Modeling in 3 steps

• Interpretative model
• Functional model
• Physical model

Interpretative model

• Description of a situation or event in natural language
• Example: "It is raining"

Functional model

• Identification of discrete inputs
• Definition of an algorithmic procedure
• Example: raindrops of shape x, height of x meters, function:

Physical model

• Implementation of the functional model in a physical Turing machine

Problems?

Implementation problems

• Limitation of time, space

Computation problems

• Limitations of formal systems
• There are uncomputable functions
• Incompleteness (Gödel)
• Undefinability (Tarsky)
• Decision problem - Hilbert's Entscheidungsproblem (Turing-Church)
• Halting problem (Turing)
• Syntax vs semantics (Searle)
• Discrete vs continuous

But... system human-machine - and oracle machines (Soare)

Interpretation problems

Multiplicity

• It is raining
• Rain droplets on car windshield
• Aggregation of H
  2O molecules
• Car running on a highway
• Sound of liquid dropping on a rigid surface
• ...

Interpretation, oracles and storytelling

• Telling a story
• Merging interpretation and computation (beyond the opposition between syntax and semantics)
• Merging syntax and semantics
• Environment human-world-machine
• Multiplicity