Video response to njwildberger's MF43. Evidently he did not consider that a division algebra has dimension 1, 2, 4 or 8 as proved by milnor and kervaire
There is no "objective" reason to restrict the concept of "number" to division algebras. For example, elements of a Clifford algebra are considered by some people to be generalized "directed numbers" or "extensive quantities". Similarly with Grassmann algebras.
You have most certainly missed the mark on this one.
FanningJamesD 11 months ago
There is no "objective" reason to restrict the concept of "number" to division algebras. For example, elements of a Clifford algebra are considered by some people to be generalized "directed numbers" or "extensive quantities". Similarly with Grassmann algebras.
OnlyPenguian 1 year ago