64 Aspects of Mathematics

This is an attempt to classify mathematics in an 8*8 matrix. Most items below can be found in the Internet, eg search for Algebraic Geometry or Geometric Algebra. The ones not found are predicted by the matrix. All 8 items are theories in themselves, eg Information Theory or Theory of Computation. When it repeats like Analysis-Analysis, it stands for Elementary Analysis. The model demonstrates the non-commutativity of mathematical classification.

The model also predicts the 3rd and higher iteration theories, like Algebra-Geometry-Analysis. Thus, while Mathematics unites, it also diverges, reminding its paradoxical nature.

1.1. LogicSet-LogicSet

1.2. Analysis-LogicSet

1.3. Algebra-LogicSet

1.4. Geometry-LogicSet

1.5. Probability-LogicSet

1.6. Statistics-LogicSet

1.7. Computation-LogicSet

1.8. Information-LogicSet

2.1. LogicSet-Analysis

2.2. Analysis-Analysis

2.3. Algebra-Analysis

2.4. Geometry-Analysis

2.5. Probability-Analysis

2.6. Statistics-Analysis

2.7. Computation-Analysis

2.8. Information-Analysis

3.1. LogicSet-Algebra

3.2. Analysis-Algebra

3.3. Algebra-Algebra

3.4. Geometry-Algebra

3.5. Probability-Algebra

3.6. Statistics-Algebra

3.7. Computation-Algebra

3.8. Information-Algebra

4.1. LogicSet-Geometry

4.2. Analysis-Geometry

4.3. Algebra-Geometry

4.4. Geometry-Geometry

4.5. Probability-Geometry

4.6. Statistics-Geometry

4.7. Computation-Geometry

4.8. Information-Geometry

5.1. LogicSet-Probability

5.2. Analysis-Probability

5.3. Algebra-Probability

5.4. Geometry-Probability

5.5. Probability-Probability

5.6. Statistics-Probability

5.7. Computation-Probability

5.8. Information-Probability

6.1. LogicSet-Statistics

6.2. Analysis-Statistics

6.3. Algebra-Statistics

6.4. Geometry-Statistics

6.5. Probability-Statistics

6.6. Statistics-Statistics

6.7. Computation-Statistics

6.8. Information-Statistics

7.1. LogicSet-Computation

7.2. Analysis-Computation

7.3. Algebra-Computation

7.4. Geometry-Computation

7.5. Probability-Computation

7.6. Statistics-Computation

7.7. Computation-Computation

7.8. Information-Computation

8.1. LogicSet-Information

8.2. Analysis-Information

8.3. Algebra-Information

8.4. Geometry-Information

8.5. Probability-Information

8.6. Statistics-Information

8.7. Computation-Information

8.8. Information-Information