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Posted By: Andrew PalfreymanIt was a stroke of genius to realise that a more general and useful geometric product would be the sum of the dot product and the wedge product
Posted By: Andrew PalfreymanOne thing that helped me to become sold on the approach was when I realised that real, physical realities naturally give rise to stuff that we were simply told to accept. Case in point is noncommutation and imaginary numbers. We can appreciate noncommutation as a physical thing when we consider the order in which rotations are performed. And yet this property directly gives rise to a basis in which the square of the basis must be negative. There's not much "imaginary" about that. It's baked into the geometry. [a,b] => ic.
Posted By: Andrew PalfreymanIt's satisfyingly ancient Saxon. A good solid word.
...of uncertain origin; perhaps related to Latin vomer "plowshare."