# The pattern types

> Each pattern type is listed with the mathematical viewpoint it takes.

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

Each pattern type is listed with the mathematical viewpoint it takes.

### symbolic

Details

formal systems and equations

### numerical

Details

quantity and arithmetic

### algebraic

Details

operations and transformations

### geometric

Details

shape and space

### topological

Details

connectivity and invariance

### logical

Details

truth and implication

### combinatorial

Details

possible arrangements

### statistical

Details

distribution and variation

### probabilistic

Details

randomness and uncertainty

### information

Details

compression and complexity

### dynamical

Details

change over time

### computational

Details

procedures and algorithms

### categorical

Details

relationships between structures

### fractal

Details

recursive self-similarity