geb chaper 4 (consistency, completeness, and geometry)

More complexity of isomorphism -> the more software is required ot extract meaning

Language uses isomorphisms to generate meaning, the symbols are imbued with meaning

Example: two objects collide in a vaccum, noise is not created, noise a function of the medium, not the collision

Music -> level one meaning of the grooves on a viynl

level two depends on a chain of isomorphisms

eculid’s elements

founder of rigor in mathematics
4 posutlate geometry vs 5th postulate gemoetry
attempts at proving geometry with 4 postulates creates non-euclidian geometry, ellipital vs hyperbolic geometry

Consistency

consistency is not a product of hte systems but of the interpreations we put on it
internal vs external consistencies

Completeness

everything produced by a system is true
if a system is consistent but incomplete, that means that meanings we interpret from it are wrong