composite | even | odd | prime | square | |
---|---|---|---|---|---|

1 | √ | √ | |||

2 | √ | √ | |||

3 | √ | √ | |||

4 | √ | √ | √ | ||

5 | √ | √ | |||

6 | √ | √ | |||

7 | √ | √ | |||

8 | √ | √ | |||

9 | √ | √ | √ | ||

10 | √ | √ |

Start: single property R(x). Now: extend by further properties R(x), S(x), T(x).

Can be shown in a table like:

Problem: how to keep the overview? Solution: by introducing concepts.

What is a concept:

- Intuition
- Characteristics
- Definition
- Hasse diagram

Basic structures

- linear order
- taxonomy (tree)
- diamond

Fundamental theorem of concept analysis: the set of concepts are a lattice.

More complex structures.