In this link: https://math.wikia.org/wiki/Blade_(geometry)
It states that blades are a generalization of vectors. Fair enough.
But then in this link: https://math.wikia.org/wiki/Tensor
It states that tensors are a generalization of tensors.
Now that has me confused. It doesn't seem like blades and tensors are the same thing, but how can that be if they both generalizations of the same thing? Unless there is more than one way to generalize the same thing? Though, if possible, that in itself seems strange also.
Are blades a geometric generalization of vectors? While tensors are a matrix (algebraic?) generalization of vectors? But even if that's the case, that seems weird too since it seems like the definitions would quickly converge so having two different names for the same thing seems pointless.