# The representations

> A result can be encoded in any of these representation layers.

Page: Ontology · Reasoning
Canonical: https://banes-lab.com/ontology/reasoning#the-representations

A result can be encoded in any of these representation layers.

### symbolic

Details

equations, formulas, notation

### logical

Details

statements, predicates, proofs

### numerical

Details

numbers, quantities, measurements

### algebraic

Details

operations, groups, fields

### geometric

Details

shapes, coordinates, spaces

### topological

Details

connectivity, continuity

### graphical

Details

diagrams, graphs, networks

### matrix

Details

linear transformations

### functional

Details

mappings between spaces

### information-theoretic

Details

entropy, encoding, compression

### probabilistic

Details

distributions and likelihoods

### dynamical

Details

state transitions

### computational

Details

algorithms and programs

### categorical

Details

objects and morphisms