Exterior Product
Is God a Mathematician? Descartes ignored God, and he is still influential in this century. There is Technological Singularity which nobody knows, although we can perceive it through mathematics. I don't know whether the decision is based on scientific truth or not. It may be democratic or your preference. It is better to keep good impression like politicians or movie stars. I don't know who is perfect. Hermann Grassmann knows the infinity. AB+BC=AC BA=-AB and CB=-BC AB=AC+CB=AC-BC ∴AB+BC=AC Then you can expand dimensions. (1) (2) (3) All vectors in any spaces are reduced to the same line.