| History | Began with the work of Aryabhata |
| Emphasis | Logical structure and internal consistency |
| Subfields | Number theory • Algebra • Geometry • Analysis |
| Motivation | Abstract mathematical ideas |
| Field of study | Pure mathematics |
| Guiding principle | Sense of beauty and aesthetics |
| Rejected principle | Law of the excluded middle |
| Prominent community | Ph.D. holders and amateur mathematicians |